Finite Group Databasebeta

← D11×#3326 #15630618

Subgroups — D11×#3326 #15630618

Order 2816.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1854 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D11×#553C211yesmaximal, characteristic, complemented
2D11×#548C211yesmaximal, characteristic, complemented
3#13080876C211yesmaximal, characteristic, complemented
4#13080875C211yesmaximal, characteristic, complemented
5#13080874C211yesmaximal, characteristic, complemented
6#13080873C211yesmaximal, characteristic, complemented
7#13080872C211yesmaximal, characteristic, complemented
8#13080871C211yesmaximal, characteristic, complemented
9#13080870C211yesmaximal, characteristic, complemented
10#13080869C211yesmaximal, characteristic, complemented
11#13080868C211yesmaximal, characteristic, complemented
12#13080867C211yesmaximal, characteristic, complemented
13#13080866C211yesmaximal, characteristic, complemented
14#13080865C211yesmaximal, characteristic, complemented
15#13080864C211yesmaximal, characteristic, complemented
16#13080863C211yesmaximal, characteristic, complemented
17#13080862C211yesmaximal, characteristic, complemented
18D11×#488C211yesmaximal, characteristic, complemented
19D11×#482C211yesmaximal, characteristic, complemented
20D11×#483C211yesmaximal, characteristic, complemented
21D11×#479C211yesmaximal, characteristic, complemented
22D11×#469C211yesmaximal, characteristic, complemented
23D11×#468C211yesmaximal, characteristic, complemented
24D11×#463C211yesmaximal, characteristic, complemented
25D11×#449C211yesmaximal, characteristic, complemented
26D11×#448C211yesmaximal, characteristic, complemented
27C4×SD16×D11C211yesmaximal, characteristic, complemented
28D11×#436C211yesmaximal, characteristic, complemented
29D11×#417C211yesmaximal, characteristic, complemented
30D11×#419C211yesmaximal, characteristic, complemented
31C11×#3326C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C22×Q8×D11C2211yescharacteristic
34C11×#553C2211yescharacteristic, complemented
35C11×#548C2211yescharacteristic, complemented
36#10623362C2211yescharacteristic, complemented
37#10623348C2211yescharacteristic, complemented
38C2×SD16×D11C2211yescharacteristic
39C2×SD16×D11C2211yescharacteristic
40C2×D8×D11C2211yescharacteristic
41C2×M16×D11C2211yescharacteristic
42C2×M16×D11C2211yescharacteristic
43#10623240—21no—
44D11×#126—21no—
45#10623226C2211yescharacteristic, complemented
46D11×#125C2211yescharacteristic
47#10623208—21no—
48#10623208C2211yescharacteristic, complemented
49D11×#124—21no—
50D11×#124C2211yescharacteristic
51#10623192—21no—
52D11×#123—21no—
53#10623164—21no—
54#10623164C2211yescharacteristic, complemented
55D11×C22⋊Q8—21no—
56D11×C22⋊Q8C2211yescharacteristic
57#10623149C2211yescharacteristic, complemented
58#10623145C2211yescharacteristic, complemented
59D11×#121—21no—
60D11×#121—21no—
61D11×#121C2211yescharacteristic
62D11×#121C2211yescharacteristic
63D11×#121C2211yescharacteristic
64#10623132—21no—
65#10623129—21no—
66#10623129C2211yescharacteristic, complemented
67#10623107C2211yescharacteristic, complemented
68C4×Q8×D11C2211yescharacteristic
69#10623096C2211yescharacteristic, complemented
70#10623089C2211yescharacteristic, complemented
71#10623083—21no—
72#10623083C2211yescharacteristic, complemented
73C4×D4×D11—21no—
74C4×D4×D11—21no—
75C4×D4×D11C2211yescharacteristic
76C4×D4×D11C2211yescharacteristic
77#10623071—21no—
78#10623061C2211yescharacteristic, complemented
79D11×#117C2211yescharacteristic
80#10623045C2211yescharacteristic, complemented
81C2×C4⋊C4×D11C2211yescharacteristic
82C11×#488C2211yescharacteristic, complemented
83C11×#483C2211yescharacteristic, complemented
84C11×#482C2211yescharacteristic, complemented
85C11×#479C2211yescharacteristic, complemented
86C11×#469C2211yescharacteristic, complemented
87C11×#468C2211yescharacteristic, complemented
88C11×#463C2211yescharacteristic, complemented
89C11×#449C2211yescharacteristic, complemented
90C11×#448C2211yescharacteristic, complemented
91C4×C11×SD16C2211yescharacteristic, complemented
92C11×#436C2211yescharacteristic, complemented
93C11×#419C2211yescharacteristic, complemented
94C11×#417C2211yescharacteristic, complemented
95#10622851C2211yescharacteristic, complemented
96#10622845C2211yescharacteristic, complemented
97#10622840C2211yescharacteristic, complemented
98#10622838C2211yescharacteristic, complemented
99#10622787C2211yescharacteristic, complemented
100#10622785C2211yescharacteristic, complemented
101#10622783C2211yescharacteristic, complemented
102#10622783C2211yescharacteristic, complemented
103#10622778C2211yescharacteristic, complemented
104SD16×Dic11C2211yescharacteristic, complemented
105#10622772C2211yescharacteristic, complemented
106#10622771C2211yescharacteristic, complemented
107#10622766C2211yescharacteristic, complemented
108#10622748C2211yescharacteristic, complemented
109#10622747C2211yescharacteristic, complemented
110#10622746C2211yescharacteristic, complemented
111#10622741C2211yescharacteristic, complemented
112#10622741C2211yescharacteristic, complemented
113#10622733C2211yescharacteristic, complemented
114#10622681C2211yescharacteristic, complemented
115#10622676C2211yescharacteristic, complemented
116#10622670C2211yescharacteristic, complemented
117#10622669C2211yescharacteristic, complemented
118#10622662C2211yescharacteristic, complemented
119#10622656C2211yescharacteristic, complemented
120#10622655C2211yescharacteristic, complemented
121#10622653C2211yescharacteristic, complemented
122#10622652C2211yescharacteristic, complemented
123#10622652C2211yescharacteristic, complemented
124#10622650C2211yescharacteristic, complemented
125#10622648C2211yescharacteristic, complemented
126C4×#4325C2211yescharacteristic, complemented
127#10622635C2211yescharacteristic, complemented
128C4×#4324C2211yescharacteristic, complemented
129#10622629C2211yescharacteristic, complemented
130#10622625C2211yescharacteristic, complemented
131#10622617C2211yescharacteristic, complemented
132#10622616C2211yescharacteristic, complemented
133#10622584C2211yescharacteristic, complemented
134#10622579C2211yescharacteristic, complemented
135#10622499C2211yescharacteristic, complemented
136#10622498C2211yescharacteristic, complemented
137D11×#107C2211yescharacteristic
138#10622490C2211yescharacteristic, complemented
139#10622479C2211yescharacteristic, complemented
140#10622478C2211yescharacteristic, complemented
141#10622475C2211yescharacteristic, complemented
142#10622475C2211yescharacteristic, complemented
143D11×#106C2211yescharacteristic
144D11×#106C2211yescharacteristic
145#10622470C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622457C2211yescharacteristic, complemented
148#10622451C2211yescharacteristic, complemented
149D11×C4⋊C8C2211yescharacteristic
150#10622442C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic, complemented
152#10622425C2211yescharacteristic, complemented
153#10622424C2211yescharacteristic, complemented
154#10622419C2211yescharacteristic, complemented
155#10622419C2211yescharacteristic, complemented
156#10622418C2211yescharacteristic, complemented
157#10622418C2211yescharacteristic, complemented
158#10622416C2211yescharacteristic, complemented
159#10622416C2211yescharacteristic, complemented
160#10622415C2211yescharacteristic, complemented
161#10622415C2211yescharacteristic, complemented
162#10622415C2211yescharacteristic, complemented
163#10622415C2211yescharacteristic, complemented
164D11×#103C2211yescharacteristic
165D11×#103C2211yescharacteristic
166D11×#103C2211yescharacteristic
167D11×#103C2211yescharacteristic
168D11×#103C2211yescharacteristic
169D11×#103C2211yescharacteristic
170#10622413C2211yescharacteristic, complemented
171#10622413C2211yescharacteristic, complemented
172#10622412C2211yescharacteristic, complemented
173#10622409C2211yescharacteristic, complemented
174#10622401C2211yescharacteristic, complemented
175#10622400C2211yescharacteristic, complemented
176#10622397C2211yescharacteristic, complemented
177#10622395C2211yescharacteristic, complemented
178#10622395C2211yescharacteristic, complemented
179#10622394C2211yescharacteristic, complemented
180#10622393C2211yescharacteristic, complemented
181#10622392C2211yescharacteristic, complemented
182#10622384C2211yescharacteristic, complemented
183#10622384C2211yescharacteristic, complemented
184D11×#102C2211yescharacteristic
185D11×#102C2211yescharacteristic
186D11×#102C2211yescharacteristic
187D11×#102C2211yescharacteristic
188#10622381C2211yescharacteristic, complemented
189#10622381C2211yescharacteristic, complemented
190#10622371C2211yescharacteristic, complemented
191#10622351C2211yescharacteristic, complemented
192#10622350C2211yescharacteristic, complemented
193#10622347C2211yescharacteristic, complemented
194#10622342C2211yescharacteristic, complemented
195#10622342C2211yescharacteristic, complemented
196D11×C22⋊C8C2211yescharacteristic
197D11×C22⋊C8C2211yescharacteristic
198#10622334C2211yescharacteristic, complemented
199#10622310C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622301C2211yescharacteristic, complemented
202C4×C8×D11C2211yescharacteristic
203C2×C11×#41C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205#41×D11—24no—
206#41×D11—42no—
207C2×#4343C2311yescharacteristic
208C2×Q8×D11—21no—
209C2×Q8×D11—21no—
210C2×Q8×D11—24no—
211C2×Q8×D11—42no—
212C2×Q8×D11C2311yescharacteristic
213C2×Q8×D11C2311yescharacteristic
214C2×Q8×D11C2311yescharacteristic
215C2×Q8×D11C2311yescharacteristic
216C2×#4341—21no—
217C2×#4341C2311yescharacteristic
218C2×D4×D11—21no—
219C2×D4×D11—21no—
220C2×D4×D11—21no—
221C2×D4×D11—21no—
222C2×D4×D11D411yescharacteristic
223C2×D4×D11C2311yescharacteristic
224C2×D4×D11C2311yescharacteristic
225C2×#4339—21no—
226C2×#4339C2311yescharacteristic
227C22×C4×D11—21no—
228C22×C4×D11—21no—
229C22×C4×D11—21no—
230C22×C4×D11—21no—
231C22×C4×D11C2311yescharacteristic
232C22×C4×D11C2311yescharacteristic
233C22×Dic22—21no—
234C22×Dic22C2311yescharacteristic
235C2×C11×SD16C2311yescharacteristic
236C2×C11×SD16C2311yescharacteristic
237C2×C11×D8C2311yescharacteristic
238C2×C11×M16C2311yescharacteristic
239C2×C11×M16C2311yescharacteristic
240C11×#126—21no—
241C11×#125C2311yescharacteristic
242C11×#124—21no—
243C11×#124C2311yescharacteristic
244C11×#123—21no—
245C11×C22⋊Q8—21no—
246C11×C22⋊Q8C2311yescharacteristic
247C11×#121—21no—
248C11×#121—21no—
249C11×#121C2311yescharacteristic
250C11×#121C2311yescharacteristic
251C11×#121C2311yescharacteristic
252C4×Q8×C11C2311yescharacteristic
253C4×D4×C11—21no—
254C4×D4×C11—21no—
255C4×D4×C11C2311yescharacteristic
256C4×D4×C11C2311yescharacteristic
257C11×#117C2311yescharacteristic
258C2×C11×C4⋊C4C2311yescharacteristic
259#67000—21no—
260#67000C2311yescharacteristic
261#66999—21no—
262#66999C2311yescharacteristic
263Q8×Dic11C2311yescharacteristic
264C2×#4325C2311yescharacteristic
265C2×#4325C2311yescharacteristic
266#66992—21no—
267#66992—21no—
268#66992—21no—
269#66992—21no—
270#66992—21no—
271#66992—21no—
272#66992—21no—
273#66991—21no—
274#66991—21no—
275#66991C2311yescharacteristic
276#66991C2311yescharacteristic
277#66991C2311yescharacteristic
278#66989—21no—
279#66989C2311yescharacteristic
280#66988—21no—
281D4×Dic11—21no—
282D4×Dic11—21no—
283D4×Dic11D411yescharacteristic
284D4×Dic11C2311yescharacteristic
285C2×#4324C2311yescharacteristic
286C2×#4324C2311yescharacteristic
287C2×#4323C2311yescharacteristic
288C2×#4323C2311yescharacteristic
289#66983—21no—
290#66983—21no—
291#66983C2311yescharacteristic
292#66983C2311yescharacteristic
293#66983C2311yescharacteristic
294#66982—21no—
295C4×C22⋊D11—21no—
296C4×C22⋊D11—21no—
297C4×C22⋊D11—21no—
298C4×C22⋊D11—21no—
299C4×C22⋊D11—21no—
300C4×C22⋊D11C2311yescharacteristic
301C4×C22⋊D11C2311yescharacteristic
302#66979C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304#66977—21no—
305#66977C2311yescharacteristic
306C2×Dic11⋊C4—21no—
307C2×#4318C2311yescharacteristic
308C2×#4318C2311yescharacteristic
309SD16×D11—24no—
310SD16×D11—42no—
311D8×D11—42no—
312M16×D11—42no—
313M16×D11—42no—
314C2×D88C2311yescharacteristic
315C2×#4314C2311yescharacteristic
316C2×#4314C2311yescharacteristic
317C2×#4313C2311yescharacteristic
318C2×#4313C2311yescharacteristic
319C2×#4313C2311yescharacteristic
320C2×#4313C2311yescharacteristic
321C2×C8×D11C2311yescharacteristic
322C2×C8×D11C2311yescharacteristic
323C2×C8×D11C2311yescharacteristic
324C2×C8×D11C2311yescharacteristic
325#66951—21no—
326#66951—21no—
327#66951—21no—
328#66950—21no—
329#66950C2311yescharacteristic
330#66949—21no—
331#66949—21no—
332#66949—21no—
333#66948—21no—
334#66948—21no—
335#66948C2311yescharacteristic
336#66948C2311yescharacteristic
337#66948C2311yescharacteristic
338#66947—21no—
339#66947—21no—
340#66946—21no—
341#66946—21no—
342#66946D411yescharacteristic
343#66946C2311yescharacteristic
344#66945C2311yescharacteristic
345#66945C2311yescharacteristic
346C4⋊C4×D11—21no—
347C4⋊C4×D11—21no—
348C4⋊C4×D11—21no—
349C4⋊C4×D11—21no—
350C4⋊C4×D11—21no—
351C4⋊C4×D11—21no—
352C4⋊C4×D11D411yescharacteristic
353C4⋊C4×D11C2311yescharacteristic
354C4⋊C4×D11C2311yescharacteristic
355C4⋊C4×D11C2311yescharacteristic
356C4⋊C4×D11C2311yescharacteristic
357C4⋊C4×D11C2311yescharacteristic
358C4⋊C4×D11C2311yescharacteristic
359#66943C2311yescharacteristic
360#66943C2311yescharacteristic
361#66942—21no—
362#66942—21no—
363#66940—21no—
364#66940C2311yescharacteristic
365#66939—21no—
366#66938—21no—
367#66938—21no—
368#66938—21no—
369#66938—21no—
370#66938—21no—
371#66938—21no—
372#66937—21no—
373#66937—21no—
374#66937—21no—
375#66937—21no—
376#66937—21no—
377#66937—21no—
378#66937—21no—
379#66936—21no—
380#66936—21no—
381(C22⋊D11)⋊C4—21no—
382(C22⋊D11)⋊C4—21no—
383(C22⋊D11)⋊C4—21no—
384(C22⋊D11)⋊C4—21no—
385(C22⋊D11)⋊C4—21no—
386(C22⋊D11)⋊C4D411yescharacteristic
387(C22⋊D11)⋊C4D411yescharacteristic
388C22⋊C4×D11—21no—
389C22⋊C4×D11—21no—
390C22⋊C4×D11—21no—
391C22⋊C4×D11—21no—
392C22⋊C4×D11—21no—
393C22⋊C4×D11—21no—
394C22⋊C4×D11—21no—
395C22⋊C4×D11—21no—
396C22⋊C4×D11D411yescharacteristic
397C22⋊C4×D11D411yescharacteristic
398#66932—21no—
399#66932—21no—
400#66932—21no—
401#66931—21no—
402#66931—21no—
403#66931—21no—
404#66930—21no—
405#66929—21no—
406#66928—21no—
407#66928C2311yescharacteristic
408C4×D44—21no—
409C4×D44—21no—
410C4×D44C2311yescharacteristic
411C4×D44C2311yescharacteristic
412#66925—21no—
413C42×D11—21no—
414C42×D11—21no—
415C42×D11C2311yescharacteristic
416#66923C2311yescharacteristic
417C4×Dic22—21no—
418C4×Dic22C2311yescharacteristic
419C11×#107C2311yescharacteristic
420C11×#106C2311yescharacteristic
421C11×#106C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×#103C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#103C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C11×C22⋊C8C2311yescharacteristic
435C4×C8×C11C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66899C2311yescharacteristic
441#66899C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447C22⋊(C11⋊C8)C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451#66885C2311yescharacteristic
452(C2×D11)⋊C8C2311yescharacteristic
453(C2×D11)⋊C8C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456#66882C2311yescharacteristic
457#66881C2311yescharacteristic
458#66881C2311yescharacteristic
459#66880C2311yescharacteristic
460#66880C2311yescharacteristic
461#66880C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66880C2311yescharacteristic
465Dic11⋊C8C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467C8×Dic11C2311yescharacteristic
468C8×Dic11C2311yescharacteristic
469#66874C2311yescharacteristic
470#66874C2311yescharacteristic
471#66874C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66874C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66872C2311yescharacteristic
480#66872C2311yescharacteristic
481#66872C2311yescharacteristic
482#66872C2311yescharacteristic
483#66871C2311yescharacteristic
484#66871C2311yescharacteristic
485C4⋊(C11⋊C8)C2311yescharacteristic
486C4×C11⋊C8C2311yescharacteristic
487C2×#3326—111nomaximal, Sylow
488C23×D11—21no—
489C23×D11—21no—
490C23×D11C2×D411yescharacteristic
491C23×D11C2×D411yescharacteristic
492C11×#41—22no—
493C11×#41—41no—
494C2×Q8×C11—21no—
495C2×Q8×C11—22no—
496C2×Q8×C11—41no—
497C2×Q8×C11C2411yescharacteristic
498C2×Q8×C11C2411yescharacteristic
499C2×D4×C11—21no—
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11—21no—
503C2×D4×C11C2×D411yescharacteristic
504C2×D4×C11C2411yescharacteristic
505C2×D4×C11C2411yescharacteristic
506C22×C4×C11—21no—
507C22×C4×C11—21no—
508C22×C4×C11—21no—
509C22×C4×C11—21no—
510C22×C4×C11C2411yescharacteristic
511C22×C4×C11C2411yescharacteristic
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11C2×D411yescharacteristic
523C2×C22⋊D11C2×D411yescharacteristic
524C22×Dic11—21no—
525C22×Dic11—21no—
526C22×Dic11—21no—
527C22×Dic11—21no—
528C22×Dic11C2×D411yescharacteristic
529C22×Dic11C2×D411yescharacteristic
530#4343—22no—
531#4343—41no—
532Q8×D11—22no—
533Q8×D11—22no—
534Q8×D11—22no—
535Q8×D11—22no—
536Q8×D11—22no—
537Q8×D11—41no—
538Q8×D11—41no—
539Q8×D11—44no—
540Q8×D11—44no—
541Q8×D11#4114yes—
542#4341—22no—
543#4341—41no—
544#4341—44no—
545D4×D11—22no—
546D4×D11—22no—
547D4×D11—22no—
548D4×D11—22no—
549D4×D11—42no—
550D4×D11—44no—
551D4×D11—44no—
552D4×D11—44no—
553D4×D11—82no—
554#4339—22no—
555#4339—41no—
556#4339—44no—
557C2×D44—21no—
558C2×D44—21no—
559C2×D44—21no—
560C2×D44—21no—
561C2×D44C2×D411yescharacteristic
562C2×D44C2411yescharacteristic
563C2×D44C2411yescharacteristic
564C2×C4×D11—22no—
565C2×C4×D11—22no—
566C2×C4×D11—22no—
567C2×C4×D11—22no—
568C2×C4×D11—21no—
569C2×C4×D11—21no—
570C2×C4×D11—21no—
571C2×C4×D11—21no—
572C2×C4×D11—21no—
573C2×C4×D11—21no—
574C2×C4×D11—21no—
575C2×C4×D11—21no—
576C2×C4×D11—21no—
577C2×C4×D11—21no—
578C2×C4×D11—21no—
579C2×C4×D11—21no—
580C2×C4×D11—21no—
581C2×C4×D11—21no—
582C2×C4×D11—44no—
583C2×C4×D11—44no—
584C2×C4×D11—82no—
585C2×C4×D11—82no—
586C2×C4×D11C2×D411yescharacteristic
587C2×C4×D11C2×D411yescharacteristic
588C2×C4×D11C2×D411yescharacteristic
589C2×C4×D11C2×D411yescharacteristic
590C2×C4×D11C2×D411yescharacteristic
591C2×C4×D11C2×D411yescharacteristic
592C2×C4×D11C2411yescharacteristic
593C2×C4×D11C2411yescharacteristic
594C2×C4×D11C2411yescharacteristic
595C2×Dic22—21no—
596C2×Dic22—22no—
597C2×Dic22—21no—
598C2×Dic22—21no—
599C2×Dic22—21no—
600C2×Dic22—21no—
601C2×Dic22—41no—
602C2×Dic22—44no—
603C2×Dic22C2411yescharacteristic
604C2×Dic22C2411yescharacteristic
605C11×SD16—22no—
606C11×SD16—41no—
607C11×D8—41no—
608C11×M16—41no—
609C11×M16—41no—
610C2×C8×C11C2411yescharacteristic
611C2×C8×C11C2411yescharacteristic
612C2×C8×C11C2411yescharacteristic
613C2×C8×C11C2411yescharacteristic
614C11×C4⋊C4—21no—
615C11×C4⋊C4—21no—
616C11×C4⋊C4—21no—
617C11×C4⋊C4—21no—
618C11×C4⋊C4—21no—
619C11×C4⋊C4C2×D411yescharacteristic
620C11×C4⋊C4C2411yescharacteristic
621C11×C4⋊C4C2411yescharacteristic
622C11×C4⋊C4C2411yescharacteristic
623C11×C4⋊C4C2411yescharacteristic
624C11×C22⋊C4—21no—
625C11×C22⋊C4—21no—
626C11×C22⋊C4—21no—
627C11×C22⋊C4—21no—
628C11×C22⋊C4—21no—
629C11×C22⋊C4—21no—
630C11×C22⋊C4—21no—
631C11×C22⋊C4—21no—
632C11×C22⋊C4C2×D411yescharacteristic
633C11×C22⋊C4C2×D411yescharacteristic
634C42×C11—21no—
635C42×C11—21no—
636C42×C11C2411yescharacteristic
637C22⋊Dic11—21no—
638C22⋊Dic11—21no—
639C22⋊Dic11—21no—
640C22⋊Dic11—21no—
641C22⋊Dic11—21no—
642C22⋊Dic11—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11C2×D411yescharacteristic
646C22⋊Dic11C2×D411yescharacteristic
647#4325—22no—
648#4325—41no—
649#4324—22no—
650#4324—41no—
651#4323—41no—
652#4323—41no—
653(C2×D11)⋊C4—21no—
654(C2×D11)⋊C4—21no—
655(C2×D11)⋊C4—21no—
656(C2×D11)⋊C4—21no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4—21no—
661(C2×D11)⋊C4—21no—
662(C2×D11)⋊C4—21no—
663(C2×D11)⋊C4—21no—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4—21no—
667(C2×D11)⋊C4—21no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4C2×D411yescharacteristic
670(C2×D11)⋊C4C2×D411yescharacteristic
671(C2×D11)⋊C4C2×D411yescharacteristic
672(C2×D11)⋊C4C2×D411yescharacteristic
673C4⋊Dic11—21no—
674C4⋊Dic11—21no—
675C4⋊Dic11—21no—
676C4⋊Dic11—21no—
677C4⋊Dic11—21no—
678C4⋊Dic11C2×D411yescharacteristic
679C4⋊Dic11C2411yescharacteristic
680C4⋊Dic11C2411yescharacteristic
681C4⋊Dic11C2411yescharacteristic
682C4⋊Dic11C2411yescharacteristic
683Dic11⋊C4—21no—
684Dic11⋊C4—21no—
685Dic11⋊C4—21no—
686Dic11⋊C4—21no—
687Dic11⋊C4—21no—
688Dic11⋊C4—21no—
689Dic11⋊C4—21no—
690Dic11⋊C4—21no—
691Dic11⋊C4—21no—
692Dic11⋊C4—21no—
693Dic11⋊C4—21no—
694Dic11⋊C4—21no—
695Dic11⋊C4—21no—
696Dic11⋊C4—21no—
697Dic11⋊C4C2×D411yescharacteristic
698Dic11⋊C4C2×D411yescharacteristic
699C4×Dic11—21no—
700C4×Dic11—21no—
701C4×Dic11—21no—
702C4×Dic11—21no—
703C4×Dic11—21no—
704C4×Dic11—21no—
705C4×Dic11C2×D411yescharacteristic
706C4×Dic11C2×D411yescharacteristic
707C4×Dic11C2411yescharacteristic
708#4318—41no—
709#4318—41no—
710C2×C11⋊C8C2411yescharacteristic
711C2×C11⋊C8C2411yescharacteristic
712C2×C11⋊C8C2411yescharacteristic
713C2×C11⋊C8C2411yescharacteristic
714D88—41no—
715#4314—22no—
716#4314—41no—
717#4313—41no—
718#4313—41no—
719#4313—41no—
720#4313—41no—
721C8×D11—22no—
722C8×D11—22no—
723C8×D11—22no—
724C8×D11—22no—
725C2×#553—111no—
726C2×#548—111no—
727#3326—111no—
728#3326—111no—
729#3326—111no—
730#3326—111no—
731#3326—111no—
732#3326—111no—
733#3326—111no—
734#3326—111no—
735#3326—111no—
736#3326—111no—
737#3326—111no—
738#3326—111no—
739#3326—111no—
740#3326—111no—
741#3326—111no—
742#3326D1111yescharacteristic, direct product factor
743C2×#488—111no—
744C2×#482—111no—
745C2×#483—111no—
746C2×#479—111no—
747C2×#469—111no—
748C2×#468—111no—
749C2×#463—111no—
750C2×#449—111no—
751C2×#448—111no—
752C2×C4×SD16—111no—
753C2×#436—111no—
754C2×#417—111no—
755C2×#419—111no—
756C23×C11—21no—
757C23×C11—21no—
758C23×C11C22×D411yescharacteristic
759C23×C11C22×D411yescharacteristic
760C22×D11—22no—
761C22×D11—22no—
762C22×D11—22no—
763C22×D11—22no—
764C22×D11—22no—
765C22×D11—22no—
766C22×D11—21no—
767C22×D11—21no—
768C22×D11—42no—
769C22×D11—42no—
770C22×D11—42no—
771C22×D11—42no—
772C22×D11—42no—
773C22×D11—42no—
774C22×D11C22×D411yescharacteristic
775C22×D11C22×D411yescharacteristic
776C22×D11C22×D411yescharacteristic
777Q8×C11—21no—
778Q8×C11—21no—
779Q8×C11—21no—
780Q8×C11—42no—
781Q8×C11C2×#4112yes—
782D4×C11—21no—
783D4×C11—21no—
784D4×C11—21no—
785D4×C11—21no—
786D4×C11—41no—
787D4×C11—42no—
788D4×C11—42no—
789D4×C11—42no—
790D4×C11—81no—
791C2×C4×C11—21no—
792C2×C4×C11—21no—
793C2×C4×C11—21no—
794C2×C4×C11—21no—
795C2×C4×C11—21no—
796C2×C4×C11—21no—
797C2×C4×C11—21no—
798C2×C4×C11—21no—
799C2×C4×C11—21no—
800C2×C4×C11—21no—
801C2×C4×C11—42no—
802C2×C4×C11—42no—
803C2×C4×C11—81no—
804C2×C4×C11—81no—
805C2×C4×C11C22×D411yescharacteristic
806C2×C4×C11C22×D411yescharacteristic
807C2×C4×C11C22×D411yescharacteristic
808C2×C4×C11C22×D411yescharacteristic
809C2×C4×C11C2511yescharacteristic
810C22⋊D11—41no—
811C22⋊D11—41no—
812C22⋊D11—42no—
813C22⋊D11—42no—
814C22⋊D11—42no—
815C22⋊D11—42no—
816C22⋊D11—42no—
817C22⋊D11—42no—
818C22⋊D11—42no—
819C22⋊D11—42no—
820C22⋊D11—81no—
821C22⋊D11—81no—
822C2×Dic11—21no—
823C2×Dic11—22no—
824C2×Dic11—22no—
825C2×Dic11—21no—
826C2×Dic11—21no—
827C2×Dic11—21no—
828C2×Dic11—21no—
829C2×Dic11—21no—
830C2×Dic11—42no—
831C2×Dic11—42no—
832C2×Dic11—81no—
833C2×Dic11—81no—
834C2×Dic11C22×D411yescharacteristic
835C2×Dic11C22×D411yescharacteristic
836C2×Dic11C22×D411yescharacteristic
837C2×Dic11C22×D411yescharacteristic
838C2×Dic11C22×D411yescharacteristic
839D44—21no—
840D44—21no—
841D44—21no—
842D44—21no—
843D44—41no—
844D44—42no—
845D44—42no—
846D44—42no—
847D44—81no—
848C4×D11—22no—
849C4×D11—22no—
850C4×D11—24no—
851C4×D11—22no—
852C4×D11—22no—
853C4×D11—21no—
854C4×D11—21no—
855C4×D11—21no—
856C4×D11—21no—
857C4×D11—22no—
858C4×D11—22no—
859C4×D11—42no—
860C4×D11—42no—
861C4×D11—42no—
862C4×D11—42no—
863C4×D11—42no—
864C4×D11—42no—
865C4×D11—42no—
866C4×D11—42no—
867C4×D11—42no—
868C4×D11—81no—
869C4×D11—81no—
870C4×D11—81no—
871C4×D11—81no—
872C4×D11C2×#4112yes—
873C4×D11H(5,𝔽2)12yes—
874Dic22—21no—
875Dic22—24no—
876Dic22—21no—
877Dic22—21no—
878Dic22—42no—
879Dic22—42no—
880Dic22—42no—
881Dic22—42no—
882Dic22C2×#4112yes—
883C8×C11—21no—
884C8×C11—21no—
885C8×C11—21no—
886C8×C11—21no—
887C11⋊C8—21no—
888C11⋊C8—21no—
889C11⋊C8—21no—
890C11⋊C8—21no—
891C22×#41—111no—
892C23×Q8—111no—
893C22×SD16—111no—
894C22×SD16—111no—
895C22×D8—111no—
896C22×M16—111no—
897C22×M16—111no—
898#553—111no—
899#553—111no—
900#553—111no—
901#553—111no—
902#553—111no—
903#553—111no—
904#553—111no—
905#553—221no—
906#553—221no—
907#553—221no—
908#553—221no—
909#553C2×D1111yescharacteristic, complemented
910#548—111no—
911#548—111no—
912#548—111no—
913#548—111no—
914#548—111no—
915#548—111no—
916#548—111no—
917#548—221no—
918#548—221no—
919#548—221no—
920#548—221no—
921#548C2×D1111yescharacteristic, complemented
922C2×#126—221no—
923C2×#125—111no—
924C2×#124—111no—
925C2×#124—221no—
926C2×#123—221no—
927C2×C22⋊Q8—111no—
928C2×C22⋊Q8—221no—
929C2×#121—111no—
930C2×#121—111no—
931C2×#121—111no—
932C2×#121—221no—
933C2×#121—221no—
934C2×C4×Q8—111no—
935C2×C4×D4—111no—
936C2×C4×D4—111no—
937C2×C4×D4—221no—
938C2×C4×D4—221no—
939C2×#117—111no—
940C22×C4⋊C4—111no—
941#488—111no—
942#488—111no—
943#488—111no—
944#488—111no—
945#488—111no—
946#488—111no—
947#488—111no—
948#488C2×D1111yescharacteristic, complemented
949#483—111no—
950#483—111no—
951#483—111no—
952#483—111no—
953#483—111no—
954#483—111no—
955#483—111no—
956#483C2×D1111yescharacteristic, complemented
957#482—111no—
958#482—111no—
959#482—111no—
960#482—111no—
961#482—111no—
962#482—111no—
963#482—111no—
964#482C2×D1111yescharacteristic, complemented
965#479—111no—
966#479—111no—
967#479—111no—
968#479—111no—
969#479—111no—
970#479—111no—
971#479—111no—
972#479C2×D1111yescharacteristic, complemented
973#469—111no—
974#469—111no—
975#469—111no—
976#469—111no—
977#469—111no—
978#469—111no—
979#469—111no—
980#469C2×D1111yescharacteristic, complemented
981#468—111no—
982#468—111no—
983#468—111no—
984#468—111no—
985#468—111no—
986#468—111no—
987#468—111no—
988#468C2×D1111yescharacteristic, complemented
989#463—111no—
990#463—111no—
991#463—111no—
992#463—111no—
993#463—111no—
994#463—111no—
995#463—111no—
996#463C2×D1111yescharacteristic, complemented
997#449—111no—
998#449—111no—
999#449—111no—
1000#449—111no—
1001#449—111no—
1002#449—111no—
1003#449—111no—
1004#449C2×D1111yescharacteristic, complemented
1005#448—111no—
1006#448—111no—
1007#448—111no—
1008#448—111no—
1009#448—111no—
1010#448—111no—
1011#448—111no—
1012#448C2×D1111yescharacteristic, complemented
1013C4×SD16—111no—
1014C4×SD16—111no—
1015C4×SD16—111no—
1016C4×SD16—111no—
1017C4×SD16—111no—
1018C4×SD16—111no—
1019C4×SD16—111no—
1020C4×SD16C2×D1111yescharacteristic, complemented
1021#436—111no—
1022#436—111no—
1023#436—111no—
1024#436—111no—
1025#436—111no—
1026#436—111no—
1027#436—111no—
1028#436C2×D1111yescharacteristic, complemented
1029C2×#107—111no—
1030C2×#106—111no—
1031C2×#106—111no—
1032C2×C4⋊C8—111no—
1033#419—111no—
1034#419—111no—
1035#419—111no—
1036#419—111no—
1037#419—111no—
1038#419—111no—
1039#419—111no—
1040#419C2×D1111yescharacteristic, complemented
1041#417—111no—
1042#417—111no—
1043#417—111no—
1044#417—111no—
1045#417—111no—
1046#417—111no—
1047#417—111no—
1048#417C2×D1111yescharacteristic, complemented
1049C2×#103—111no—
1050C2×#103—111no—
1051C2×#103—111no—
1052C2×#103—111no—
1053C2×#103—111no—
1054C2×#103—111no—
1055C2×#102—111no—
1056C2×#102—111no—
1057C2×#102—111no—
1058C2×#102—111no—
1059C2×C22⋊C8—111no—
1060C2×C22⋊C8—111no—
1061C2×C4×C8—111no—
1062C22×C11—21no—
1063C22×C11—21no—
1064C22×C11—21no—
1065C22×C11—21no—
1066C22×C11—21no—
1067C22×C11—21no—
1068C22×C11—41no—
1069C22×C11—41no—
1070C22×C11—41no—
1071C22×C11—41no—
1072C22×C11—41no—
1073C22×C11—41no—
1074C22×C11C23×D411yescharacteristic
1075C2×D11—21no—
1076C2×D11—21no—
1077C2×D11—21no—
1078C2×D11—21no—
1079C2×D11—21no—
1080C2×D11—21no—
1081C2×D11—44no—
1082C2×D11—44no—
1083C2×D11—41no—
1084C2×D11—41no—
1085C2×D11—41no—
1086C2×D11—41no—
1087C2×D11—41no—
1088C2×D11—41no—
1089C2×D11—84no—
1090C2×D11—84no—
1091C2×D11#54612yes—
1092C2×D11#57512yes—
1093C2×D11#57712yes—
1094C4×C11—21no—
1095C4×C11—21no—
1096C4×C11—22no—
1097C4×C11—21no—
1098C4×C11—21no—
1099C4×C11—41no—
1100C4×C11—41no—
1101C4×C11—41no—
1102C4×C11—41no—
1103C4×C11—41no—
1104C4×C11C22×#4111yescharacteristic
1105C4×C11C2×H(5,𝔽2)11yescharacteristic
1106Dic11—22no—
1107Dic11—21no—
1108Dic11—21no—
1109Dic11—21no—
1110Dic11—21no—
1111Dic11—41no—
1112Dic11—41no—
1113Dic11—41no—
1114Dic11—41no—
1115Dic11—41no—
1116Dic11#54612yes—
1117C2×#41—111no—
1118C2×#41—111no—
1119C2×#41—111no—
1120C2×#41—221no—
1121C2×#41—221no—
1122C2×#41—224no—
1123C2×#41—442no—
1124C2×#41C22×D1111yescharacteristic
1125C22×Q8—111no—
1126C22×Q8—111no—
1127C22×Q8—111no—
1128C22×Q8—111no—
1129C22×Q8—111no—
1130C22×Q8—221no—
1131C22×Q8—221no—
1132C22×Q8—221no—
1133C22×Q8—224no—
1134C22×Q8—442no—
1135C22×Q8C22×D1111yescharacteristic
1136C22×D4—111no—
1137C22×D4—111no—
1138C22×D4—111no—
1139C22×D4—221no—
1140C22×D4—221no—
1141C22×D4—221no—
1142C22×D4—221no—
1143C23×C4—111no—
1144C23×C4—111no—
1145C23×C4—221no—
1146C23×C4—221no—
1147C23×C4—221no—
1148C23×C4—221no—
1149C2×SD16—111no—
1150C2×SD16—111no—
1151C2×SD16—111no—
1152C2×SD16—111no—
1153C2×SD16—111no—
1154C2×SD16—111no—
1155C2×SD16—224no—
1156C2×SD16—442no—
1157C2×SD16C22×D1111yescharacteristic
1158C2×SD16C22×D1111yescharacteristic
1159C2×D8—111no—
1160C2×D8—111no—
1161C2×D8—111no—
1162C2×D8—442no—
1163C2×D8C22×D1111yescharacteristic
1164C2×M16—111no—
1165C2×M16—111no—
1166C2×M16—111no—
1167C2×M16—111no—
1168C2×M16—111no—
1169C2×M16—111no—
1170C2×M16—442no—
1171C2×M16—442no—
1172C2×M16C22×D1111yescharacteristic
1173C2×M16C22×D1111yescharacteristic
1174C22×C8—111no—
1175C22×C8—111no—
1176C22×C8—111no—
1177C22×C8—111no—
1178#126—21no—
1179#126—221no—
1180#126—221no—
1181#126—221no—
1182#126—221no—
1183#126—221no—
1184#126—221no—
1185#126—221no—
1186#125—111no—
1187#125—111no—
1188#125—111no—
1189#125—221no—
1190#125—221no—
1191#125C22×D1111yescharacteristic
1192#124—21no—
1193#124—111no—
1194#124—111no—
1195#124—111no—
1196#124—221no—
1197#124—221no—
1198#124—221no—
1199#124—221no—
1200#124—221no—
1201#124—221no—
1202#124—221no—
1203#124—221no—
1204#124—221no—
1205#124C22×D1111yescharacteristic
1206#123—21no—
1207#123—221no—
1208#123—221no—
1209#123—221no—
1210#123—221no—
1211#123—221no—
1212#123—221no—
1213#123—221no—
1214C22⋊Q8—21no—
1215C22⋊Q8—111no—
1216C22⋊Q8—111no—
1217C22⋊Q8—111no—
1218C22⋊Q8—221no—
1219C22⋊Q8—221no—
1220C22⋊Q8—221no—
1221C22⋊Q8—221no—
1222C22⋊Q8—221no—
1223C22⋊Q8—221no—
1224C22⋊Q8—221no—
1225C22⋊Q8—221no—
1226C22⋊Q8—221no—
1227C22⋊Q8C22×D1111yescharacteristic
1228#121—21no—
1229#121—21no—
1230#121—111no—
1231#121—111no—
1232#121—111no—
1233#121—111no—
1234#121—111no—
1235#121—111no—
1236#121—111no—
1237#121—111no—
1238#121—111no—
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#121—221no—
1251#121—221no—
1252#121—221no—
1253#121—221no—
1254#121—221no—
1255#121—221no—
1256#121—221no—
1257#121—221no—
1258#121—221no—
1259#121C22×D1111yescharacteristic
1260#121C22×D1111yescharacteristic
1261#121C22×D1111yescharacteristic
1262C4×Q8—111no—
1263C4×Q8—111no—
1264C4×Q8—111no—
1265C4×Q8—221no—
1266C4×Q8—221no—
1267C4×Q8C22×D1111yescharacteristic
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—111no—
1271C4×D4—111no—
1272C4×D4—111no—
1273C4×D4—111no—
1274C4×D4—111no—
1275C4×D4—111no—
1276C4×D4—111no—
1277C4×D4—111no—
1278C4×D4—111no—
1279C4×D4—111no—
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×D4—221no—
1289C4×D4—221no—
1290C4×D4—221no—
1291C4×D4—221no—
1292C4×D4—221no—
1293C4×D4—221no—
1294C4×D4—221no—
1295C4×D4—221no—
1296C4×D4C22×D1111yescharacteristic
1297C4×D4C22×D1111yescharacteristic
1298#117—111no—
1299#117—111no—
1300#117—111no—
1301#117—221no—
1302#117—221no—
1303#117C22×D1111yescharacteristic
1304C2×C4⋊C4—111no—
1305C2×C4⋊C4—111no—
1306C2×C4⋊C4—111no—
1307C2×C4⋊C4—111no—
1308C2×C4⋊C4—111no—
1309C2×C4⋊C4—111no—
1310C2×C4⋊C4—111no—
1311C2×C4⋊C4—111no—
1312C2×C4⋊C4—221no—
1313C2×C4⋊C4—221no—
1314C2×C4⋊C4—221no—
1315C2×C4⋊C4—221no—
1316C2×C4⋊C4—221no—
1317C2×C4⋊C4—221no—
1318C2×C4⋊C4—221no—
1319C2×C4⋊C4C22×D1111yescharacteristic
1320C2×C22⋊C4—111no—
1321C2×C22⋊C4—111no—
1322C2×C22⋊C4—221no—
1323C2×C22⋊C4—221no—
1324C2×C22⋊C4—221no—
1325C2×C22⋊C4—221no—
1326C2×C22⋊C4—221no—
1327C2×C22⋊C4—221no—
1328C2×C22⋊C4—221no—
1329C2×C22⋊C4—221no—
1330C2×C42—111no—
1331C2×C42—221no—
1332C2×C42—221no—
1333#107—111no—
1334#107—111no—
1335#107—111no—
1336#107C22×D1111yescharacteristic
1337#106—111no—
1338#106—111no—
1339#106—111no—
1340#106—111no—
1341#106—111no—
1342#106—111no—
1343#106C22×D1111yescharacteristic
1344#106C22×D1111yescharacteristic
1345C4⋊C8—111no—
1346C4⋊C8—111no—
1347C4⋊C8—111no—
1348C4⋊C8C22×D1111yescharacteristic
1349#103—111no—
1350#103—111no—
1351#103—111no—
1352#103—111no—
1353#103—111no—
1354#103—111no—
1355#103—111no—
1356#103—111no—
1357#103—111no—
1358#103—111no—
1359#103—111no—
1360#103—111no—
1361#103—111no—
1362#103—111no—
1363#103—111no—
1364#103—111no—
1365#103—111no—
1366#103—111no—
1367#103C22×D1111yescharacteristic
1368#103C22×D1111yescharacteristic
1369#103C22×D1111yescharacteristic
1370#103C22×D1111yescharacteristic
1371#103C22×D1111yescharacteristic
1372#103C22×D1111yescharacteristic
1373#102—111no—
1374#102—111no—
1375#102—111no—
1376#102—111no—
1377#102—111no—
1378#102—111no—
1379#102—111no—
1380#102—111no—
1381#102—111no—
1382#102—111no—
1383#102—111no—
1384#102—111no—
1385#102C22×D1111yescharacteristic
1386#102C22×D1111yescharacteristic
1387#102C22×D1111yescharacteristic
1388#102C22×D1111yescharacteristic
1389C22⋊C8—111no—
1390C22⋊C8—111no—
1391C22⋊C8—111no—
1392C22⋊C8—111no—
1393C22⋊C8—111no—
1394C22⋊C8—111no—
1395C22⋊C8C22×D1111yescharacteristic
1396C22⋊C8C22×D1111yescharacteristic
1397C4×C8—111no—
1398C4×C8—111no—
1399C4×C8—111no—
1400C4×C8C22×D1111yescharacteristic
1401C2×C11—41no—
1402C2×C11—41no—
1403C2×C11—81no—
1404C2×C11—81no—
1405C2×C11C2×#54611yescharacteristic
1406C2×C11C2×#57511yescharacteristic
1407C2×C11C2×#57711yescharacteristic
1408D11—41no—
1409D11—41no—
1410D11—81no—
1411D11—81no—
1412D11#332614yesdirect product factor
1413C24—111no—
1414C24—111no—
1415C24—221no—
1416C24—221no—
1417#41—22no—
1418#41—41no—
1419#41—222no—
1420#41—222no—
1421#41—222no—
1422#41—441no—
1423#41—444no—
1424#41—441no—
1425#41—444no—
1426#41—441no—
1427C2×Q8—21no—
1428C2×Q8—22no—
1429C2×Q8—41no—
1430C2×Q8—114no—
1431C2×Q8—111no—
1432C2×Q8—111no—
1433C2×Q8—221no—
1434C2×Q8—221no—
1435C2×Q8—221no—
1436C2×Q8—221no—
1437C2×Q8—222no—
1438C2×Q8—222no—
1439C2×Q8—222no—
1440C2×Q8—222no—
1441C2×Q8—221no—
1442C2×Q8—222no—
1443C2×Q8—222no—
1444C2×Q8—441no—
1445C2×Q8—444no—
1446C2×Q8—444no—
1447C2×Q8—441no—
1448C2×Q8—441no—
1449C2×Q8—444no—
1450C2×Q8C23×D1111yescharacteristic
1451C2×Q8C23×D1111yescharacteristic
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—21no—
1455C2×D4—21no—
1456C2×D4—111no—
1457C2×D4—111no—
1458C2×D4—111no—
1459C2×D4—111no—
1460C2×D4—111no—
1461C2×D4—221no—
1462C2×D4—221no—
1463C2×D4—221no—
1464C2×D4—221no—
1465C2×D4—222no—
1466C2×D4—222no—
1467C2×D4—222no—
1468C2×D4—222no—
1469C2×D4—221no—
1470C2×D4—221no—
1471C2×D4—221no—
1472C2×D4—221no—
1473C2×D4—221no—
1474C2×D4—221no—
1475C2×D4—221no—
1476C2×D4—221no—
1477C2×D4—221no—
1478C2×D4—221no—
1479C2×D4—442no—
1480C2×D4—444no—
1481C2×D4—444no—
1482C2×D4—444no—
1483C2×D4—882no—
1484C2×D4D4×D1111yescharacteristic
1485C2×D4C23×D1111yescharacteristic
1486C2×D4C23×D1111yescharacteristic
1487C22×C4—21no—
1488C22×C4—21no—
1489C22×C4—21no—
1490C22×C4—21no—
1491C22×C4—111no—
1492C22×C4—111no—
1493C22×C4—111no—
1494C22×C4—111no—
1495C22×C4—111no—
1496C22×C4—111no—
1497C22×C4—111no—
1498C22×C4—111no—
1499C22×C4—111no—
1500C22×C4—111no—
1501C22×C4—111no—
1502C22×C4—222no—
1503C22×C4—222no—
1504C22×C4—222no—
1505C22×C4—222no—
1506C22×C4—221no—
1507C22×C4—221no—
1508C22×C4—221no—
1509C22×C4—221no—
1510C22×C4—221no—
1511C22×C4—221no—
1512C22×C4—221no—
1513C22×C4—221no—
1514C22×C4—221no—
1515C22×C4—221no—
1516C22×C4—221no—
1517C22×C4—221no—
1518C22×C4—221no—
1519C22×C4—221no—
1520C22×C4—221no—
1521C22×C4—221no—
1522C22×C4—221no—
1523C22×C4—221no—
1524C22×C4—444no—
1525C22×C4—444no—
1526C22×C4—882no—
1527C22×C4—882no—
1528C22×C4C23×D1111yescharacteristic
1529C22×C4C23×D1111yescharacteristic
1530SD16—22no—
1531SD16—41no—
1532SD16—222no—
1533SD16—222no—
1534SD16—222no—
1535SD16—441no—
1536SD16—441no—
1537SD16—441no—
1538D8—41no—
1539D8—441no—
1540D8—441no—
1541D8—441no—
1542M16—41no—
1543M16—41no—
1544M16—441no—
1545M16—441no—
1546M16—441no—
1547M16—441no—
1548M16—441no—
1549M16—441no—
1550C2×C8—111no—
1551C2×C8—111no—
1552C2×C8—111no—
1553C2×C8—111no—
1554C2×C8—222no—
1555C2×C8—222no—
1556C2×C8—222no—
1557C2×C8—222no—
1558C2×C8C23×D1111yescharacteristic
1559C2×C8C23×D1111yescharacteristic
1560C2×C8C23×D1111yescharacteristic
1561C2×C8C23×D1111yescharacteristic
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—111no—
1568C4⋊C4—111no—
1569C4⋊C4—111no—
1570C4⋊C4—111no—
1571C4⋊C4—111no—
1572C4⋊C4—111no—
1573C4⋊C4—111no—
1574C4⋊C4—221no—
1575C4⋊C4—221no—
1576C4⋊C4—221no—
1577C4⋊C4—221no—
1578C4⋊C4—221no—
1579C4⋊C4—221no—
1580C4⋊C4—221no—
1581C4⋊C4—221no—
1582C4⋊C4—221no—
1583C4⋊C4—221no—
1584C4⋊C4—221no—
1585C4⋊C4—221no—
1586C4⋊C4—221no—
1587C4⋊C4—221no—
1588C4⋊C4—221no—
1589C4⋊C4—221no—
1590C4⋊C4—221no—
1591C4⋊C4—221no—
1592C4⋊C4—221no—
1593C4⋊C4D4×D1111yescharacteristic
1594C4⋊C4C23×D1111yescharacteristic
1595C4⋊C4C23×D1111yescharacteristic
1596C4⋊C4C23×D1111yescharacteristic
1597C4⋊C4C23×D1111yescharacteristic
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—111no—
1607C22⋊C4—111no—
1608C22⋊C4—111no—
1609C22⋊C4—111no—
1610C22⋊C4—111no—
1611C22⋊C4—111no—
1612C22⋊C4—221no—
1613C22⋊C4—221no—
1614C22⋊C4—221no—
1615C22⋊C4—221no—
1616C22⋊C4—221no—
1617C22⋊C4—221no—
1618C22⋊C4—221no—
1619C22⋊C4—221no—
1620C22⋊C4—221no—
1621C22⋊C4—221no—
1622C22⋊C4—221no—
1623C22⋊C4—221no—
1624C22⋊C4—221no—
1625C22⋊C4—221no—
1626C22⋊C4—221no—
1627C22⋊C4—221no—
1628C22⋊C4—221no—
1629C22⋊C4—221no—
1630C22⋊C4—221no—
1631C22⋊C4—221no—
1632C22⋊C4—221no—
1633C22⋊C4—221no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4D4×D1111yescharacteristic
1637C22⋊C4D4×D1111yescharacteristic
1638C42—21no—
1639C42—21no—
1640C42—111no—
1641C42—111no—
1642C42—111no—
1643C42—221no—
1644C42—221no—
1645C42—221no—
1646C42—221no—
1647C42—221no—
1648C42—221no—
1649C42C23×D1111yescharacteristic
1650C11C2×#332611yescharacteristic, complemented, Sylow
1651C23—21no—
1652C23—21no—
1653C23—111no—
1654C23—111no—
1655C23—111no—
1656C23—222no—
1657C23—222no—
1658C23—222no—
1659C23—222no—
1660C23—222no—
1661C23—222no—
1662C23—221no—
1663C23—221no—
1664C23—442no—
1665C23—442no—
1666C23—442no—
1667C23—442no—
1668C23—442no—
1669C23—442no—
1670C23C2×D4×D1111yescharacteristic
1671C23C2×D4×D1111yescharacteristic
1672Q8—21no—
1673Q8—21no—
1674Q8—21no—
1675Q8—42no—
1676Q8—112no—
1677Q8—224no—
1678Q8—221no—
1679Q8—221no—
1680Q8—221no—
1681Q8—442no—
1682Q8—442no—
1683Q8—442no—
1684Q8—442no—
1685Q8#41×D1112yes—
1686D4—21no—
1687D4—21no—
1688D4—21no—
1689D4—21no—
1690D4—41no—
1691D4—42no—
1692D4—42no—
1693D4—42no—
1694D4—81no—
1695D4—221no—
1696D4—221no—
1697D4—221no—
1698D4—221no—
1699D4—441no—
1700D4—442no—
1701D4—442no—
1702D4—442no—
1703D4—442no—
1704D4—442no—
1705D4—441no—
1706D4—441no—
1707D4—442no—
1708D4—442no—
1709D4—442no—
1710D4—442no—
1711D4—442no—
1712D4—442no—
1713D4—881no—
1714D4—881no—
1715D4—881no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—42no—
1727C2×C4—42no—
1728C2×C4—81no—
1729C2×C4—81no—
1730C2×C4—111no—
1731C2×C4—112no—
1732C2×C4—112no—
1733C2×C4—111no—
1734C2×C4—111no—
1735C2×C4—111no—
1736C2×C4—111no—
1737C2×C4—222no—
1738C2×C4—222no—
1739C2×C4—222no—
1740C2×C4—222no—
1741C2×C4—222no—
1742C2×C4—222no—
1743C2×C4—224no—
1744C2×C4—222no—
1745C2×C4—222no—
1746C2×C4—221no—
1747C2×C4—221no—
1748C2×C4—221no—
1749C2×C4—221no—
1750C2×C4—221no—
1751C2×C4—221no—
1752C2×C4—221no—
1753C2×C4—221no—
1754C2×C4—221no—
1755C2×C4—221no—
1756C2×C4—442no—
1757C2×C4—442no—
1758C2×C4—442no—
1759C2×C4—442no—
1760C2×C4—442no—
1761C2×C4—442no—
1762C2×C4—442no—
1763C2×C4—442no—
1764C2×C4—442no—
1765C2×C4—442no—
1766C2×C4—442no—
1767C2×C4—881no—
1768C2×C4—881no—
1769C2×C4—881no—
1770C2×C4—881no—
1771C2×C4—881no—
1772C2×C4—881no—
1773C2×C4C2×D4×D1111yescharacteristic
1774C2×C4C2×D4×D1111yescharacteristic
1775C2×C4C2×D4×D1111yescharacteristic
1776C2×C4C2×D4×D1111yescharacteristic
1777C2×C4C24×D1111yescharacteristic
1778C8—21no—
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—221no—
1783C8—221no—
1784C8—221no—
1785C8—221no—
1786C22—21no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—21no—
1791C22—21no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—112no—
1799C22—112no—
1800C22—112no—
1801C22—221no—
1802C22—221no—
1803C22—221no—
1804C22—221no—
1805C22—221no—
1806C22—221no—
1807C22—444no—
1808C22—444no—
1809C22—441no—
1810C22—441no—
1811C22—441no—
1812C22—441no—
1813C22—441no—
1814C22—441no—
1815C22—884no—
1816C22—884no—
1817C22C22×D4×D1111yescharacteristic
1818C4—21no—
1819C4—21no—
1820C4—22no—
1821C4—21no—
1822C4—21no—
1823C4—41no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—112no—
1829C4—221no—
1830C4—221no—
1831C4—222no—
1832C4—221no—
1833C4—221no—
1834C4—441no—
1835C4—441no—
1836C4—441no—
1837C4—441no—
1838C4—441no—
1839C4C2×#41×D1111yescharacteristic
1840C4D11×H(5,𝔽2)11yescharacteristic
1841C2—41no—
1842C2—41no—
1843C2—81no—
1844C2—81no—
1845C2—114no—
1846C2—441no—
1847C2—441no—
1848C2—881no—
1849C2—881no—
1850C2D11×#54611yescharacteristic
1851C2D11×#57511yescharacteristic
1852C2D11×#57711yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3326C2
socleC22×C11C23×D4
hypercenter#3326D11
hypocenterC11C2×#3326
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3326

Complements

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

NH ≅ G/Ntype
1. D11×#553C2semidirect
2. D11×#548C2semidirect
3. #13080876C2semidirect
4. #13080875C2semidirect
5. #13080874C2semidirect
6. #13080873C2semidirect
7. #13080872C2semidirect
8. #13080871C2semidirect
9. #13080870C2semidirect
10. #13080869C2semidirect
11. #13080868C2semidirect
12. #13080867C2semidirect
13. #13080866C2semidirect
14. #13080865C2semidirect
15. #13080864C2semidirect
16. #13080863C2semidirect
17. #13080862C2semidirect
18. D11×#488C2semidirect
19. D11×#482C2semidirect
20. D11×#483C2semidirect
21. D11×#479C2semidirect
22. D11×#469C2semidirect
23. D11×#468C2semidirect
24. D11×#463C2semidirect
25. D11×#449C2semidirect
26. D11×#448C2semidirect
27. C4×SD16×D11C2semidirect
28. D11×#436C2semidirect
29. D11×#417C2semidirect
30. D11×#419C2semidirect
31. C11×#3326C2semidirect
34. C11×#553C22semidirect
35. C11×#548C22semidirect
36. #10623362C22semidirect
37. #10623348C22semidirect
45. #10623226C22semidirect
48. #10623208C22semidirect
54. #10623164C22semidirect
57. #10623149C22semidirect
58. #10623145C22semidirect
66. #10623129C22semidirect
67. #10623107C22semidirect
69. #10623096C22semidirect
70. #10623089C22semidirect
72. #10623083C22semidirect
78. #10623061C22semidirect
80. #10623045C22semidirect
82. C11×#488C22semidirect
83. C11×#483C22semidirect
84. C11×#482C22semidirect
85. C11×#479C22semidirect
86. C11×#469C22semidirect
87. C11×#468C22semidirect
88. C11×#463C22semidirect
89. C11×#449C22semidirect
90. C11×#448C22semidirect
91. C4×C11×SD16C22semidirect
92. C11×#436C22semidirect
93. C11×#419C22semidirect
94. C11×#417C22semidirect
95. #10622851C22semidirect
96. #10622845C22semidirect
97. #10622840C22semidirect
98. #10622838C22semidirect
99. #10622787C22semidirect
100. #10622785C22semidirect
101. #10622783C22semidirect
102. #10622783C22semidirect
103. #10622778C22semidirect
104. SD16×Dic11C22semidirect
105. #10622772C22semidirect
106. #10622771C22semidirect
107. #10622766C22semidirect
108. #10622748C22semidirect
109. #10622747C22semidirect
110. #10622746C22semidirect
111. #10622741C22semidirect
112. #10622741C22semidirect
113. #10622733C22semidirect
114. #10622681C22semidirect
115. #10622676C22semidirect
116. #10622670C22semidirect
117. #10622669C22semidirect
118. #10622662C22semidirect
119. #10622656C22semidirect
120. #10622655C22semidirect
121. #10622653C22semidirect
122. #10622652C22semidirect
123. #10622652C22semidirect
124. #10622650C22semidirect
125. #10622648C22semidirect
126. C4×#4325C22semidirect
127. #10622635C22semidirect
128. C4×#4324C22semidirect
129. #10622629C22semidirect
130. #10622625C22semidirect
131. #10622617C22semidirect
132. #10622616C22semidirect
133. #10622584C22semidirect
134. #10622579C22semidirect
135. #10622499C22semidirect
136. #10622498C22semidirect
138. #10622490C22semidirect
139. #10622479C22semidirect
140. #10622478C22semidirect
141. #10622475C22semidirect
142. #10622475C22semidirect
145. #10622470C22semidirect
146. #10622465C22semidirect
147. #10622457C22semidirect
148. #10622451C22semidirect
150. #10622442C22semidirect
151. #10622432C22semidirect
152. #10622425C22semidirect
153. #10622424C22semidirect
154. #10622419C22semidirect
155. #10622419C22semidirect
156. #10622418C22semidirect
157. #10622418C22semidirect
158. #10622416C22semidirect
159. #10622416C22semidirect
160. #10622415C22semidirect
161. #10622415C22semidirect
162. #10622415C22semidirect
163. #10622415C22semidirect
170. #10622413C22semidirect
171. #10622413C22semidirect
172. #10622412C22semidirect
173. #10622409C22semidirect
174. #10622401C22semidirect
175. #10622400C22semidirect
176. #10622397C22semidirect
177. #10622395C22semidirect
178. #10622395C22semidirect
179. #10622394C22semidirect
180. #10622393C22semidirect
181. #10622392C22semidirect
182. #10622384C22semidirect
183. #10622384C22semidirect
188. #10622381C22semidirect
189. #10622381C22semidirect
190. #10622371C22semidirect
191. #10622351C22semidirect
192. #10622350C22semidirect
193. #10622347C22semidirect
194. #10622342C22semidirect
195. #10622342C22semidirect
198. #10622334C22semidirect
199. #10622310C22semidirect
200. C4×#4314C22semidirect
201. #10622301C22semidirect
742. #3326D11direct (N × H)
909. #553C2×D11semidirect
921. #548C2×D11semidirect
948. #488C2×D11semidirect
956. #483C2×D11semidirect
964. #482C2×D11semidirect
972. #479C2×D11semidirect
980. #469C2×D11semidirect
988. #468C2×D11semidirect
996. #463C2×D11semidirect
1004. #449C2×D11semidirect
1012. #448C2×D11semidirect
1020. C4×SD16C2×D11semidirect
1028. #436C2×D11semidirect
1040. #419C2×D11semidirect
1048. #417C2×D11semidirect
1412. D11#3326direct (N × H)
1650. C11C2×#3326semidirect

Maximal subgroups

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

subgroupindex
D11×#5532
D11×#5482
#130808762
#130808752
#130808742
#130808732
#130808722
#130808712
#130808702
#130808692
#130808682
#130808672
#130808662
#130808652
#130808642
#130808632
#130808622
D11×#4882
D11×#4822
D11×#4832
D11×#4792
D11×#4692
D11×#4682
D11×#4632
D11×#4492
D11×#4482
C4×SD16×D112
D11×#4362
D11×#4172
D11×#4192
C11×#33262
C2×#332611