Finite Group Databasebeta

← #15622281

Subgroups — #15622281

Order 2816.

2074 conjugacy classes of subgroups.

The subgroup lattice has 1752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D11×#542C211yesmaximal, characteristic, complemented
2#13081818C211yesmaximal, characteristic, complemented
3#13078900C211yesmaximal, characteristic, complemented
4#13078899C211yesmaximal, characteristic, complemented
5#13078892C211yesmaximal, characteristic, complemented
6#13078891C211yesmaximal, characteristic, complemented
7#13078885C211yesmaximal, characteristic, complemented
8#13078884C211yesmaximal, characteristic, complemented
9#13078877C211yesmaximal, characteristic, complemented
10#13078876C211yesmaximal, characteristic, complemented
11#13078846C211yesmaximal, characteristic, complemented
12#13078845C211yesmaximal, characteristic, complemented
13#13078838C211yesmaximal, characteristic, complemented
14#13078803C211yesmaximal, characteristic, complemented
15#13078802C211yesmaximal, characteristic, complemented
16#13078795C211yesmaximal, characteristic, complemented
17#13078794C211yesmaximal, characteristic, complemented
18#13078563C211yesmaximal, characteristic, complemented
19#13078555C211yesmaximal, characteristic, complemented
20#13078430C211yesmaximal, characteristic, complemented
21#13078426C211yesmaximal, characteristic, complemented
22#13078107C211yesmaximal, characteristic, complemented
23#13078107C211yesmaximal, characteristic, complemented
24#13077875C211yesmaximal, characteristic, complemented
25#13077867C211yesmaximal, characteristic
26C4×#66971C211yesmaximal, characteristic, complemented
27#13077432C211yesmaximal, characteristic, complemented
28C4×#66967C211yesmaximal, characteristic, complemented
29#13077421C211yesmaximal, characteristic, complemented
30#13077250C211yesmaximal, characteristic, complemented
31C11×#3121C211yesmaximal, characteristic, complemented
32C22×#4343C2211yescharacteristic
33C11×#542C2211yescharacteristic
34C11×#519C2211yescharacteristic, complemented
35#10623343C2211yescharacteristic, complemented
36C2×#66971C2211yescharacteristic
37C2×#66971C2211yescharacteristic
38C2×#66967C2211yescharacteristic
39C2×#66967C2211yescharacteristic
40#10623264C2211yescharacteristic, complemented
41D11×C4⋊Q8C2211yescharacteristic, complemented
42#10623241—21no—
43D11×#126—21no—
44#10623213C2211yescharacteristic, complemented
45D11×#124—21no—
46D11×#124C2211yescharacteristic, complemented
47#10623200—21no—
48#10623193—21no—
49D11×#123—21no—
50#10623174C2211yescharacteristic
51#10623171—21no—
52D11×C22⋊Q8—21no—
53D11×C22⋊Q8C2211yescharacteristic
54D11×#121C2211yescharacteristic
55#10623134C2211yescharacteristic
56#10623113C2211yescharacteristic, complemented
57#10623105—21no—
58#10623105—21no—
59#10623105C2211yescharacteristic, complemented
60#10623105C2211yescharacteristic, complemented
61#10623105C2211yescharacteristic, complemented
62#10623105C2211yescharacteristic, complemented
63C4×#4343—21no—
64C4×#4343—21no—
65C4×#4343C2211yescharacteristic
66C4×#4343C2211yescharacteristic
67C4×#4343C2211yescharacteristic
68C4×#4343C2211yescharacteristic
69C4×Q8×D11C2211yescharacteristic, complemented
70#10623092C2211yescharacteristic, complemented
71C4×D4×D11C2211yescharacteristic, complemented
72#10623065C2211yescharacteristic
73#10623052—21no—
74#10623052—21no—
75#10623052C2211yescharacteristic, complemented
76#10623052C2211yescharacteristic, complemented
77D11×#117—21no—
78D11×#117—21no—
79D11×#117C2211yescharacteristic
80D11×#117C2211yescharacteristic
81C11×#485C2211yescharacteristic, complemented
82C11×#482C2211yescharacteristic
83C11×#477C2211yescharacteristic, complemented
84C11×#475C2211yescharacteristic, complemented
85C11×#464C2211yescharacteristic, complemented
86C11×#464C2211yescharacteristic, complemented
87C11×#451C2211yescharacteristic, complemented
88C11×#448C2211yescharacteristic
89C11×#441C2211yescharacteristic, complemented
90C11×#440C2211yescharacteristic, complemented
91C4×C11×Q16C2211yescharacteristic, complemented
92C4×C11×SD16C2211yescharacteristic, complemented
93C11×#433C2211yescharacteristic, complemented
94#10622841C2211yescharacteristic, complemented
95#10622840C2211yescharacteristic
96#10622800C2211yescharacteristic, complemented
97#10622800C2211yescharacteristic, complemented
98#10622798C2211yescharacteristic, complemented
99#10622798C2211yescharacteristic, complemented
100#10622797C2211yescharacteristic, complemented
101Q16×Dic11C2211yescharacteristic, complemented
102#10622785C2211yescharacteristic
103#10622785C2211yescharacteristic
104#10622779C2211yescharacteristic, complemented
105#10622779C2211yescharacteristic, complemented
106#10622777C2211yescharacteristic, complemented
107SD16×Dic11C2211yescharacteristic, complemented
108#10622700C2211yescharacteristic, complemented
109#10622697C2211yescharacteristic, complemented
110#10622670C2211yescharacteristic, complemented
111#10622670C2211yescharacteristic, complemented
112#10622659C2211yescharacteristic, complemented
113#10622658C2211yescharacteristic, complemented
114#10622649C2211yescharacteristic
115#10622648C2211yescharacteristic
116#10622643C2211yescharacteristic, complemented
117C4×#4326C2211yescharacteristic, complemented
118#10622641C2211yescharacteristic, complemented
119#10622641C2211yescharacteristic, complemented
120#10622639C2211yescharacteristic, complemented
121#10622639C2211yescharacteristic, complemented
122C4×#4325C2211yescharacteristic, complemented
123C4×#4325C2211yescharacteristic, complemented
124#10622634C2211yescharacteristic, complemented
125#10622633C2211yescharacteristic, complemented
126#10622627C2211yescharacteristic, complemented
127C4×#4323C2211yescharacteristic, complemented
128#10622616C2211yescharacteristic
129#10622613C2211yescharacteristic, complemented
130#10622609C2211yescharacteristic, complemented
131#10622503C2211yescharacteristic, complemented
132#10622503C2211yescharacteristic, complemented
133#10622502C2211yescharacteristic, complemented
134#10622497C2211yescharacteristic, complemented
135#10622495C2211yescharacteristic, complemented
136#10622494C2211yescharacteristic, complemented
137#10622494C2211yescharacteristic, complemented
138#10622485C2211yescharacteristic, complemented
139#10622483C2211yescharacteristic, complemented
140#10622483C2211yescharacteristic, complemented
141#10622482C2211yescharacteristic, complemented
142#10622476C2211yescharacteristic, complemented
143#10622475C2211yescharacteristic, complemented
144#10622474C2211yescharacteristic, complemented
145#10622474C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622459C2211yescharacteristic, complemented
148#10622457C2211yescharacteristic, complemented
149#10622457C2211yescharacteristic, complemented
150#10622455C2211yescharacteristic, complemented
151#10622453C2211yescharacteristic, complemented
152#10622453C2211yescharacteristic, complemented
153#10622450C2211yescharacteristic, complemented
154#10622450C2211yescharacteristic, complemented
155#10622432C2211yescharacteristic, complemented
156#10622432C2211yescharacteristic, complemented
157#10622430C2211yescharacteristic, complemented
158#10622430C2211yescharacteristic, complemented
159#10622424C2211yescharacteristic
160#10622424C2211yescharacteristic
161#10622423C2211yescharacteristic, complemented
162#10622423C2211yescharacteristic, complemented
163#10622422C2211yescharacteristic, complemented
164#10622418C2211yescharacteristic, complemented
165#10622416C2211yescharacteristic
166#10622416C2211yescharacteristic
167#10622416C2211yescharacteristic
168#10622416C2211yescharacteristic
169#10622415C2211yescharacteristic, complemented
170#10622415C2211yescharacteristic, complemented
171#10622407C2211yescharacteristic, complemented
172#10622407C2211yescharacteristic, complemented
173#10622404C2211yescharacteristic, complemented
174#10622404C2211yescharacteristic, complemented
175#10622403C2211yescharacteristic, complemented
176#10622402C2211yescharacteristic, complemented
177#10622401C2211yescharacteristic, complemented
178#10622401C2211yescharacteristic, complemented
179#10622400C2211yescharacteristic, complemented
180#10622400C2211yescharacteristic, complemented
181#10622398C2211yescharacteristic, complemented
182#10622390C2211yescharacteristic, complemented
183#10622387C2211yescharacteristic, complemented
184#10622383C2211yescharacteristic, complemented
185#10622383C2211yescharacteristic, complemented
186#10622369C2211yescharacteristic, complemented
187#10622350C2211yescharacteristic
188#10622345C2211yescharacteristic
189#10622344C2211yescharacteristic, complemented
190#10622339C2211yescharacteristic
191#10622339C2211yescharacteristic
192#10622336C2211yescharacteristic, complemented
193#10622333C2211yescharacteristic, complemented
194#10622333C2211yescharacteristic, complemented
195#10622324C2211yescharacteristic, complemented
196#10622323C2211yescharacteristic, complemented
197#10622322C2211yescharacteristic, complemented
198#10622320C2211yescharacteristic, complemented
199C4×D88C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202C4×#4313C2211yescharacteristic, complemented
203C22×Q8×C11C2311yescharacteristic
204C2×#4343—24no—
205C2×#4343—24no—
206C2×#4343—21no—
207C2×#4343—21no—
208C2×#4343C2311yescharacteristic
209C2×#4343C2311yescharacteristic
210C2×#4343C2311yescharacteristic
211C2×#4343C2311yescharacteristic
212C2×Q8×D11—21no—
213C2×Q8×D11C2311yescharacteristic
214C2×D4×D11—21no—
215C2×D4×D11C2311yescharacteristic
216C22×D44—21no—
217C22×D44C2311yescharacteristic
218C22×C4×D11—21no—
219C22×C4×D11—21no—
220C22×C4×D11C2311yescharacteristic
221C2×C11×Q16C2311yescharacteristic
222C2×C11×Q16C2311yescharacteristic
223C2×C11×SD16C2311yescharacteristic
224C2×C11×SD16C2311yescharacteristic
225C11×C4⋊Q8C2311yescharacteristic
226C11×#126—21no—
227C11×#124—21no—
228C11×#124C2311yescharacteristic
229C11×#123—21no—
230C11×C22⋊Q8—21no—
231C11×C22⋊Q8C2311yescharacteristic
232C11×#121C2311yescharacteristic
233C4×Q8×C11—21no—
234C4×Q8×C11—21no—
235C4×Q8×C11C2311yescharacteristic
236C4×Q8×C11C2311yescharacteristic
237C4×Q8×C11C2311yescharacteristic
238C4×Q8×C11C2311yescharacteristic
239C4×Q8×C11C2311yescharacteristic
240C4×D4×C11C2311yescharacteristic
241C11×#117—21no—
242C11×#117—21no—
243C11×#117C2311yescharacteristic
244C11×#117C2311yescharacteristic
245#67000—21no—
246#67000C2311yescharacteristic
247#66999—21no—
248#66999C2311yescharacteristic
249Q8×Dic11—21no—
250Q8×Dic11—21no—
251Q8×Dic11C2311yescharacteristic
252Q8×Dic11C2311yescharacteristic
253Q8×Dic11C2311yescharacteristic
254Q8×Dic11C2311yescharacteristic
255Q8×Dic11C2311yescharacteristic
256#66997—21no—
257C2×#4326C2311yescharacteristic
258C2×#4326C2311yescharacteristic
259C2×#4325C2311yescharacteristic
260C2×#4325C2311yescharacteristic
261C2×#4325C2311yescharacteristic
262C2×#4325C2311yescharacteristic
263#66992—21no—
264#66991C2311yescharacteristic
265#66989—21no—
266#66989C2311yescharacteristic
267#66988—21no—
268D4×Dic11C2311yescharacteristic
269C2×#4323C2311yescharacteristic
270C2×#4323C2311yescharacteristic
271#66983C2311yescharacteristic
272#66982—21no—
273C4×C22⋊D11—21no—
274#66979—21no—
275#66979—21no—
276#66979C2311yescharacteristic
277#66979C2311yescharacteristic
278#66977—21no—
279#66977C2311yescharacteristic
280#66971—24no—
281#66971—24no—
282#66967—24no—
283#66967—24no—
284C2×D88C2311yescharacteristic
285C2×D88C2311yescharacteristic
286C2×#4314C2311yescharacteristic
287C2×#4314C2311yescharacteristic
288C2×#4313C2311yescharacteristic
289C2×#4313C2311yescharacteristic
290C2×#4313C2311yescharacteristic
291C2×#4313C2311yescharacteristic
292#66951—21no—
293#66951—21no—
294#66951—21no—
295#66950—21no—
296#66950C2311yescharacteristic
297#66949—21no—
298#66949—21no—
299#66949—21no—
300#66948C2311yescharacteristic
301#66947—21no—
302#66947—21no—
303#66946—21no—
304#66946—21no—
305#66946—21no—
306#66946—21no—
307#66946—21no—
308#66946—21no—
309#66946—21no—
310#66946—21no—
311#66946—21no—
312#66946—21no—
313#66946C2311yescharacteristic
314#66946C2311yescharacteristic
315#66946C2311yescharacteristic
316#66946C2311yescharacteristic
317#66946C2311yescharacteristic
318#66945—21no—
319#66945—21no—
320#66945—21no—
321#66945—21no—
322#66945D411yescharacteristic
323#66945D411yescharacteristic
324#66945C2311yescharacteristic
325#66945C2311yescharacteristic
326C4⋊C4×D11—21no—
327C4⋊C4×D11—21no—
328C4⋊C4×D11—21no—
329C4⋊C4×D11—21no—
330C4⋊C4×D11—21no—
331C4⋊C4×D11—21no—
332C4⋊C4×D11—21no—
333C4⋊C4×D11D411yescharacteristic
334C4⋊C4×D11D411yescharacteristic
335C4⋊C4×D11C2311yescharacteristic
336C4⋊C4×D11C2311yescharacteristic
337C4⋊C4×D11C2311yescharacteristic
338C4⋊C4×D11C2311yescharacteristic
339#66941—21no—
340#66941C2311yescharacteristic
341#66941C2311yescharacteristic
342#66940—21no—
343#66940C2311yescharacteristic
344#66939—21no—
345#66938—21no—
346#66938—21no—
347#66938—21no—
348#66938—21no—
349#66938—21no—
350#66938—21no—
351#66937—21no—
352#66936—21no—
353#66936—21no—
354(C22⋊D11)⋊C4—21no—
355C22⋊C4×D11—21no—
356C22⋊C4×D11—21no—
357C22⋊C4×D11—21no—
358C22⋊C4×D11—21no—
359C22⋊C4×D11—21no—
360C22⋊C4×D11—21no—
361C22⋊C4×D11—21no—
362C22⋊C4×D11—21no—
363C22⋊C4×D11—21no—
364C22⋊C4×D11—21no—
365C22⋊C4×D11D411yescharacteristic
366C22⋊C4×D11D411yescharacteristic
367#66932—21no—
368#66932—21no—
369#66932—21no—
370#66931—21no—
371#66931—21no—
372#66931—21no—
373#66930—21no—
374#66930D411yescharacteristic
375#66930D411yescharacteristic
376#66929—21no—
377#66928—21no—
378#66928C2311yescharacteristic
379C4×D44—21no—
380C4×D44—21no—
381C4×D44—21no—
382C4×D44—21no—
383C4×D44—21no—
384C4×D44—21no—
385C4×D44—21no—
386C4×D44—21no—
387C4×D44—21no—
388C4×D44—21no—
389C4×D44C2311yescharacteristic
390C4×D44C2311yescharacteristic
391C4×D44C2311yescharacteristic
392C4×D44C2311yescharacteristic
393C4×D44C2311yescharacteristic
394#66925—21no—
395#66925—21no—
396#66925—21no—
397#66925—21no—
398#66925—21no—
399#66925C2311yescharacteristic
400#66925C2311yescharacteristic
401C42×D11—21no—
402C42×D11—21no—
403C42×D11—21no—
404C42×D11—21no—
405C42×D11—21no—
406C42×D11—21no—
407C42×D11C2311yescharacteristic
408C42×D11C2311yescharacteristic
409#66922C2311yescharacteristic
410C4×Dic22—21no—
411C4×Dic22C2311yescharacteristic
412C11×#107C2311yescharacteristic
413C11×#107C2311yescharacteristic
414C11×#106C2311yescharacteristic
415C11×#106C2311yescharacteristic
416C11×C4⋊C8C2311yescharacteristic
417C11×C4⋊C8C2311yescharacteristic
418C11×#103C2311yescharacteristic
419C11×#103C2311yescharacteristic
420C11×#103C2311yescharacteristic
421C11×#103C2311yescharacteristic
422C11×#103C2311yescharacteristic
423C11×#103C2311yescharacteristic
424C11×#102C2311yescharacteristic
425C11×#102C2311yescharacteristic
426C11×C22⋊C8C2311yescharacteristic
427C11×C22⋊C8C2311yescharacteristic
428C11×#97C2311yescharacteristic
429C4×C8×C11C2311yescharacteristic
430#66899C2311yescharacteristic
431#66899C2311yescharacteristic
432#66899C2311yescharacteristic
433#66899C2311yescharacteristic
434#66899C2311yescharacteristic
435#66899C2311yescharacteristic
436#66896C2311yescharacteristic
437#66896C2311yescharacteristic
438C22⋊(C11⋊C8)C2311yescharacteristic
439C22⋊(C11⋊C8)C2311yescharacteristic
440#66885C2311yescharacteristic
441#66885C2311yescharacteristic
442#66885C2311yescharacteristic
443#66885C2311yescharacteristic
444#66885C2311yescharacteristic
445#66885C2311yescharacteristic
446(C2×D11)⋊C8C2311yescharacteristic
447(C2×D11)⋊C8C2311yescharacteristic
448(C2×D11)⋊C8C2311yescharacteristic
449(C2×D11)⋊C8C2311yescharacteristic
450#66882C2311yescharacteristic
451#66882C2311yescharacteristic
452#66881C2311yescharacteristic
453#66881C2311yescharacteristic
454#66880C2311yescharacteristic
455#66880C2311yescharacteristic
456#66879C2311yescharacteristic
457#66879C2311yescharacteristic
458Dic11⋊C8C2311yescharacteristic
459Dic11⋊C8C2311yescharacteristic
460Dic11⋊C8C2311yescharacteristic
461Dic11⋊C8C2311yescharacteristic
462C8×Dic11C2311yescharacteristic
463C8×Dic11C2311yescharacteristic
464#66874C2311yescharacteristic
465#66874C2311yescharacteristic
466#66873C2311yescharacteristic
467#66873C2311yescharacteristic
468#66873C2311yescharacteristic
469#66873C2311yescharacteristic
470#66873C2311yescharacteristic
471#66873C2311yescharacteristic
472#66872C2311yescharacteristic
473#66872C2311yescharacteristic
474#66872C2311yescharacteristic
475#66872C2311yescharacteristic
476#66871C2311yescharacteristic
477#66871C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481C4⋊(C11⋊C8)C2311yescharacteristic
482#66867C2311yescharacteristic
483C4×C11⋊C8C2311yescharacteristic
484#60567—111nomaximal, Sylow
485C23×D11—21no—
486C23×D11—21no—
487C23×D11C2×D411yescharacteristic
488C2×Q8×C11—22no—
489C2×Q8×C11—22no—
490C2×Q8×C11—21no—
491C2×Q8×C11—21no—
492C2×Q8×C11C2411yescharacteristic
493C2×Q8×C11C2411yescharacteristic
494C2×Q8×C11C2411yescharacteristic
495C2×D4×C11—21no—
496C2×D4×C11C2411yescharacteristic
497C22×C4×C11—21no—
498C22×C4×C11—21no—
499C22×C4×C11C2411yescharacteristic
500C2×C22⋊D11—21no—
501C2×C22⋊D11—21no—
502C2×C22⋊D11—21no—
503C22×Dic11—21no—
504C22×Dic11C2×D411yescharacteristic
505#4343—28no—
506#4343—28no—
507#4343—22no—
508#4343—22no—
509#4343—22no—
510#4343—22no—
511#4343—22no—
512#4343—22no—
513#4343#4114yes—
514#4343#4114yes—
515Q8×D11—22no—
516Q8×D11—22no—
517Q8×D11—82no—
518D4×D11—22no—
519D4×D11—22no—
520D4×D11—82no—
521C2×D44—28no—
522C2×D44—22no—
523C2×D44—22no—
524C2×D44—21no—
525C2×D44—21no—
526C2×D44—21no—
527C2×D44—21no—
528C2×D44—21no—
529C2×D44—21no—
530C2×D44C2411yescharacteristic
531C2×D44C2411yescharacteristic
532C2×D44C2411yescharacteristic
533C2×C4×D11—28no—
534C2×C4×D11—21no—
535C2×C4×D11—21no—
536C2×C4×D11—21no—
537C2×C4×D11—21no—
538C2×C4×D11—22no—
539C2×C4×D11—22no—
540C2×C4×D11—21no—
541C2×C4×D11—21no—
542C2×C4×D11—21no—
543C2×C4×D11—21no—
544C2×C4×D11—21no—
545C2×C4×D11—21no—
546C2×C4×D11—21no—
547C2×C4×D11—21no—
548C2×C4×D11—21no—
549C2×C4×D11—21no—
550C2×C4×D11—21no—
551C2×C4×D11—21no—
552C2×C4×D11—21no—
553C2×C4×D11—21no—
554C2×C4×D11—21no—
555C2×C4×D11—82no—
556C2×C4×D11C2×D411yescharacteristic
557C2×C4×D11C2×D411yescharacteristic
558C2×C4×D11C2×D411yescharacteristic
559C2×C4×D11C2×D411yescharacteristic
560C2×C4×D11C2×D411yescharacteristic
561C2×C4×D11C2×D411yescharacteristic
562C2×C4×D11C2411yescharacteristic
563C2×C4×D11C2411yescharacteristic
564C2×Dic22—21no—
565C2×Dic22—21no—
566C2×Dic22—21no—
567C2×Dic22—21no—
568C2×Dic22C2411yescharacteristic
569C11×Q16—22no—
570C11×Q16—22no—
571C11×SD16—22no—
572C11×SD16—22no—
573C2×C8×C11C2411yescharacteristic
574C2×C8×C11C2411yescharacteristic
575C2×C8×C11C2411yescharacteristic
576C2×C8×C11C2411yescharacteristic
577C11×C4⋊C4—21no—
578C11×C4⋊C4—21no—
579C11×C4⋊C4—21no—
580C11×C4⋊C4—21no—
581C11×C4⋊C4—21no—
582C11×C4⋊C4—21no—
583C11×C4⋊C4—21no—
584C11×C4⋊C4C2×D411yescharacteristic
585C11×C4⋊C4C2×D411yescharacteristic
586C11×C4⋊C4C2411yescharacteristic
587C11×C4⋊C4C2411yescharacteristic
588C11×C4⋊C4C2411yescharacteristic
589C11×C4⋊C4C2411yescharacteristic
590C11×C22⋊C4—21no—
591C11×C22⋊C4—21no—
592C11×C22⋊C4—21no—
593C11×C22⋊C4—21no—
594C11×C22⋊C4—21no—
595C11×C22⋊C4—21no—
596C11×C22⋊C4C2×D411yescharacteristic
597C11×C22⋊C4C2×D411yescharacteristic
598C42×C11—21no—
599C42×C11—21no—
600C42×C11—21no—
601C42×C11—21no—
602C42×C11—21no—
603C42×C11—21no—
604C42×C11C2411yescharacteristic
605C42×C11C2411yescharacteristic
606C22⋊Dic11—21no—
607C22⋊Dic11—21no—
608C22⋊Dic11—21no—
609C22⋊Dic11—21no—
610C22⋊Dic11—21no—
611C22⋊Dic11—21no—
612C22⋊Dic11C2×D411yescharacteristic
613C22⋊Dic11C2×D411yescharacteristic
614#4326—22no—
615#4326—22no—
616#4325—22no—
617#4325—22no—
618#4325—22no—
619#4325—22no—
620#4323—22no—
621#4323—22no—
622(C2×D11)⋊C4—21no—
623(C2×D11)⋊C4—21no—
624(C2×D11)⋊C4—21no—
625(C2×D11)⋊C4—21no—
626(C2×D11)⋊C4—21no—
627(C2×D11)⋊C4—21no—
628(C2×D11)⋊C4—21no—
629(C2×D11)⋊C4—21no—
630(C2×D11)⋊C4—21no—
631(C2×D11)⋊C4—21no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
638(C2×D11)⋊C4—21no—
639(C2×D11)⋊C4—21no—
640(C2×D11)⋊C4—21no—
641(C2×D11)⋊C4—21no—
642(C2×D11)⋊C4C2×D411yescharacteristic
643(C2×D11)⋊C4C2×D411yescharacteristic
644(C2×D11)⋊C4C2×D411yescharacteristic
645(C2×D11)⋊C4C2×D411yescharacteristic
646C4⋊Dic11—21no—
647C4⋊Dic11—21no—
648C4⋊Dic11—21no—
649C4⋊Dic11—21no—
650C4⋊Dic11—21no—
651C4⋊Dic11—21no—
652C4⋊Dic11—21no—
653C4⋊Dic11C2×D411yescharacteristic
654C4⋊Dic11C2×D411yescharacteristic
655C4⋊Dic11C2411yescharacteristic
656C4⋊Dic11C2411yescharacteristic
657C4⋊Dic11C2411yescharacteristic
658C4⋊Dic11C2411yescharacteristic
659Dic11⋊C4—21no—
660Dic11⋊C4—21no—
661Dic11⋊C4—21no—
662Dic11⋊C4—21no—
663Dic11⋊C4—21no—
664Dic11⋊C4—21no—
665Dic11⋊C4—21no—
666Dic11⋊C4—21no—
667Dic11⋊C4—21no—
668Dic11⋊C4—21no—
669Dic11⋊C4C2×D411yescharacteristic
670Dic11⋊C4C2×D411yescharacteristic
671Dic11⋊C4C2×D411yescharacteristic
672Dic11⋊C4C2×D411yescharacteristic
673C4×Dic11—21no—
674C4×Dic11—21no—
675C4×Dic11—21no—
676C4×Dic11—21no—
677C4×Dic11—21no—
678C4×Dic11—21no—
679C4×Dic11—21no—
680C4×Dic11—21no—
681C4×Dic11—21no—
682C4×Dic11—21no—
683C4×Dic11C2×D411yescharacteristic
684C4×Dic11C2×D411yescharacteristic
685C4×Dic11C2×D411yescharacteristic
686C4×Dic11C2×D411yescharacteristic
687C4×Dic11C2411yescharacteristic
688C4×Dic11C2411yescharacteristic
689C2×C11⋊C8C2411yescharacteristic
690C2×C11⋊C8C2411yescharacteristic
691C2×C11⋊C8C2411yescharacteristic
692C2×C11⋊C8C2411yescharacteristic
693D88—22no—
694D88—22no—
695#4314—22no—
696#4314—22no—
697#4313—22no—
698#4313—22no—
699#4313—22no—
700#4313—22no—
701C2×#542—111no—
702#3428—111no—
703#3125—111no—
704#3125—111no—
705#3125—111no—
706#3125—111no—
707#3124—111no—
708#3124—111no—
709#3124—111no—
710#3124—111no—
711#3121—111no—
712#3121—111no—
713#3121—111no—
714#3121D1111yescharacteristic, complemented
715#3118—111no—
716#3118—111no—
717#3118—111no—
718#3118—111no—
719#3095—111no—
720#3094—111no—
721#3079—111no—
722#3079—111no—
723#3040—111no—
724#3040—111no—
725#3007—111no—
726#3006—111no—
727C4×#137—111no—
728C4×#137—111no—
729C4×AGL(1,ℤ/8)—111no—
730C4×AGL(1,ℤ/8)—111no—
731#2921—111no—
732C23×C11—21no—
733C23×C11C22×D411yescharacteristic
734C22×D11—21no—
735C22×D11—21no—
736C22×D11—24no—
737C22×D11—22no—
738C22×D11—21no—
739C22×D11—41no—
740C22×D11—41no—
741C22×D11—42no—
742C22×D11—42no—
743C22×D11—42no—
744C22×D11—81no—
745C22×D11—81no—
746C22×D11C22×D411yescharacteristic
747C22×D11C22×D411yescharacteristic
748Q8×C11—24no—
749Q8×C11—21no—
750Q8×C11—21no—
751Q8×C11—21no—
752Q8×C11—21no—
753Q8×C11—81no—
754Q8×C11C2×#4112yes—
755Q8×C11C2×#4112yes—
756D4×C11—21no—
757D4×C11—21no—
758D4×C11—81no—
759C2×C4×C11—24no—
760C2×C4×C11—21no—
761C2×C4×C11—21no—
762C2×C4×C11—21no—
763C2×C4×C11—21no—
764C2×C4×C11—21no—
765C2×C4×C11—21no—
766C2×C4×C11—21no—
767C2×C4×C11—21no—
768C2×C4×C11—21no—
769C2×C4×C11—81no—
770C2×C4×C11C22×D411yescharacteristic
771C2×C4×C11C22×D411yescharacteristic
772C2×C4×C11C22×D411yescharacteristic
773C2×C4×C11C22×D411yescharacteristic
774C2×C4×C11C22×D411yescharacteristic
775C2×C4×C11C2511yescharacteristic
776C22⋊D11—42no—
777C22⋊D11—81no—
778C22⋊D11—81no—
779C2×Dic11—22no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—81no—
786C2×Dic11C22×D411yescharacteristic
787C2×Dic11C22×D411yescharacteristic
788C2×Dic11C22×D411yescharacteristic
789C2×Dic11C22×D411yescharacteristic
790C2×Dic11C22×D411yescharacteristic
791C2×Dic11C22×D411yescharacteristic
792D44—24no—
793D44—24no—
794D44—24no—
795D44—24no—
796D44—24no—
797D44—21no—
798D44—21no—
799D44—21no—
800D44—21no—
801D44—81no—
802D44C2×#4112yes—
803D44C2×#4112yes—
804C4×D11—24no—
805C4×D11—24no—
806C4×D11—22no—
807C4×D11—21no—
808C4×D11—21no—
809C4×D11—24no—
810C4×D11—24no—
811C4×D11—22no—
812C4×D11—41no—
813C4×D11—41no—
814C4×D11—41no—
815C4×D11—41no—
816C4×D11—42no—
817C4×D11—42no—
818C4×D11—42no—
819C4×D11—81no—
820C4×D11—81no—
821C4×D11—81no—
822C4×D11—81no—
823C4×D11—81no—
824C4×D11—81no—
825C4×D11—81no—
826C4×D11—81no—
827C4×D11—81no—
828C4×D11—81no—
829C4×D11—81no—
830C4×D11—81no—
831C4×D11C2×#4112yes—
832C4×D11C2×#4112yes—
833Dic22—21no—
834Dic22—21no—
835Dic22—42no—
836Dic22—81no—
837Dic22—81no—
838Dic22—81no—
839C8×C11—21no—
840C8×C11—21no—
841C8×C11—21no—
842C8×C11—21no—
843C11⋊C8—21no—
844C11⋊C8—21no—
845C11⋊C8—21no—
846C11⋊C8—21no—
847C22×#41—111no—
848C2×#137—111no—
849C2×#137—111no—
850C2×AGL(1,ℤ/8)—111no—
851C2×AGL(1,ℤ/8)—111no—
852#542—111no—
853#542—111no—
854#542—111no—
855#542—111no—
856#542—111no—
857#542—111no—
858#542—111no—
859#542—221no—
860#542—221no—
861#542—221no—
862#542—221no—
863#542C2×D1111yescharacteristic
864C2×C4⋊Q8—111no—
865C2×#126—221no—
866C2×#124—111no—
867C2×#124—221no—
868C2×#123—221no—
869C2×C22⋊Q8—111no—
870C2×C22⋊Q8—221no—
871C2×#121—111no—
872#520—111no—
873#520—111no—
874#520—111no—
875#520—111no—
876#520—221no—
877#520—221no—
878#519—111no—
879#519C2×D1111yescharacteristic, complemented
880#518—111no—
881#518—111no—
882#518—221no—
883#518—221no—
884C4×#41—111no—
885C4×#41—111no—
886C4×#41—111no—
887C4×#41—111no—
888C4×#41—221no—
889C4×#41—221no—
890C2×C4×Q8—111no—
891C2×C4×D4—111no—
892C2×#117—111no—
893C2×#117—111no—
894C2×#117—221no—
895C2×#117—221no—
896#485—111no—
897#485—111no—
898#485—111no—
899#485C2×D1111yescharacteristic, complemented
900#484—111no—
901#484—111no—
902#483—111no—
903#483—111no—
904#482—111no—
905#482—111no—
906#482—111no—
907#482C2×D1111yescharacteristic
908#481—111no—
909#481—111no—
910#480—111no—
911#480—111no—
912#477—111no—
913#477—111no—
914#477—111no—
915#477C2×D1111yescharacteristic, complemented
916#476—111no—
917#476—111no—
918#476—111no—
919#476—111no—
920#475—111no—
921#475—111no—
922#475—111no—
923#475C2×D1111yescharacteristic, complemented
924#474—111no—
925#474—111no—
926#474—111no—
927#474—111no—
928#464—111no—
929#464—111no—
930#464—111no—
931#464—111no—
932#464—111no—
933#464—111no—
934#464C2×D1111yescharacteristic, complemented
935#464C2×D1111yescharacteristic, complemented
936#463—111no—
937#463—111no—
938#463—111no—
939#463—111no—
940#463—111no—
941#463—111no—
942#463—111no—
943#463—111no—
944#452—111no—
945#452—111no—
946#452—111no—
947#452—111no—
948#451—111no—
949#451C2×D1111yescharacteristic, complemented
950#450—111no—
951#450—111no—
952#449—111no—
953#449—111no—
954#449—111no—
955#449—111no—
956#448—111no—
957#448C2×D1111yescharacteristic
958#447—111no—
959#447—111no—
960#442—111no—
961#442—111no—
962#442—111no—
963#442—111no—
964#441—111no—
965#441—111no—
966#441—111no—
967#441C2×D1111yescharacteristic, complemented
968#440—111no—
969#440—111no—
970#440—111no—
971#440—111no—
972#440—111no—
973#440—111no—
974#440—111no—
975#440C2×D1111yescharacteristic, complemented
976C4×Q16—111no—
977C4×Q16—111no—
978C4×Q16—111no—
979C4×Q16C2×D1111yescharacteristic, complemented
980C4×SD16—111no—
981C4×SD16—111no—
982C4×SD16—111no—
983C4×SD16—111no—
984C4×SD16—111no—
985C4×SD16—111no—
986C4×SD16—111no—
987C4×SD16C2×D1111yescharacteristic, complemented
988C4×D8—111no—
989C4×D8—111no—
990C4×D8—111no—
991C4×D8—111no—
992#433—111no—
993#433—111no—
994#433—111no—
995#433—111no—
996#433—111no—
997#433—111no—
998#433—111no—
999#433C2×D1111yescharacteristic, complemented
1000#428—111no—
1001#428—111no—
1002#428—111no—
1003#428—111no—
1004#423—111no—
1005#423—111no—
1006#419—111no—
1007#419—111no—
1008#418—111no—
1009#418—111no—
1010#417—111no—
1011#417—111no—
1012#417—111no—
1013#417—111no—
1014#407—111no—
1015#407—111no—
1016C4×M16—111no—
1017C4×M16—111no—
1018C22×C11—21no—
1019C22×C11—21no—
1020C22×C11—21no—
1021C22×C11—41no—
1022C22×C11—41no—
1023C22×C11—41no—
1024C22×C11C23×D411yescharacteristic
1025C2×D11—21no—
1026C2×D11—21no—
1027C2×D11—21no—
1028C2×D11—21no—
1029C2×D11—22no—
1030C2×D11—22no—
1031C2×D11—21no—
1032C2×D11—41no—
1033C2×D11—41no—
1034C2×D11—41no—
1035C2×D11—41no—
1036C2×D11—41no—
1037C2×D11—41no—
1038C2×D11—41no—
1039C2×D11—82no—
1040C2×D11—84no—
1041C2×D11—84no—
1042C2×D11#52512yes—
1043C4×C11—21no—
1044C4×C11—21no—
1045C4×C11—21no—
1046C4×C11—21no—
1047C4×C11—22no—
1048C4×C11—22no—
1049C4×C11—21no—
1050C4×C11—41no—
1051C4×C11—41no—
1052C4×C11—41no—
1053C4×C11—41no—
1054C4×C11—41no—
1055C4×C11C22×#4111yescharacteristic
1056C4×C11C22×#4111yescharacteristic
1057Dic11—21no—
1058Dic11—21no—
1059Dic11—21no—
1060Dic11—21no—
1061Dic11—21no—
1062Dic11—41no—
1063Dic11—41no—
1064Dic11—41no—
1065Dic11—41no—
1066Dic11—41no—
1067Dic11#52512yes—
1068C2×#41—111no—
1069C2×#41—111no—
1070C2×#41—111no—
1071C2×#41—111no—
1072C2×#41—221no—
1073C2×#41—221no—
1074C2×#41—224no—
1075C2×#41—224no—
1076C22×Q8—111no—
1077C22×Q8—221no—
1078C22×Q8C22×D1111yescharacteristic
1079C22×D4—111no—
1080C22×D4—111no—
1081C22×D4—221no—
1082C22×D4—221no—
1083C23×C4—111no—
1084C23×C4—221no—
1085C23×C4—221no—
1086#137—224no—
1087#137—224no—
1088AGL(1,ℤ/8)—224no—
1089AGL(1,ℤ/8)—224no—
1090C2×Q16—111no—
1091C2×Q16—111no—
1092C2×Q16C22×D1111yescharacteristic
1093C2×Q16C22×D1111yescharacteristic
1094C2×SD16—111no—
1095C2×SD16—111no—
1096C2×SD16—111no—
1097C2×SD16—111no—
1098C2×SD16—111no—
1099C2×SD16—111no—
1100C2×SD16C22×D1111yescharacteristic
1101C2×SD16C22×D1111yescharacteristic
1102C2×D8—111no—
1103C2×D8—111no—
1104C2×D8—111no—
1105C2×D8—111no—
1106C2×M16—111no—
1107C2×M16—111no—
1108C2×M16—111no—
1109C2×M16—111no—
1110C4⋊Q8—111no—
1111C4⋊Q8—111no—
1112C4⋊Q8—111no—
1113C4⋊Q8—221no—
1114C4⋊Q8—221no—
1115C4⋊Q8C22×D1111yescharacteristic
1116#126—21no—
1117#126—221no—
1118#126—221no—
1119#126—221no—
1120#126—221no—
1121#126—221no—
1122#126—221no—
1123#126—221no—
1124#124—21no—
1125#124—111no—
1126#124—111no—
1127#124—111no—
1128#124—221no—
1129#124—221no—
1130#124—221no—
1131#124—221no—
1132#124—221no—
1133#124—221no—
1134#124—221no—
1135#124—221no—
1136#124—221no—
1137#124C22×D1111yescharacteristic
1138#123—21no—
1139#123—221no—
1140#123—221no—
1141#123—221no—
1142#123—221no—
1143#123—221no—
1144#123—221no—
1145#123—221no—
1146C22⋊Q8—21no—
1147C22⋊Q8—111no—
1148C22⋊Q8—111no—
1149C22⋊Q8—111no—
1150C22⋊Q8—221no—
1151C22⋊Q8—221no—
1152C22⋊Q8—221no—
1153C22⋊Q8—221no—
1154C22⋊Q8—221no—
1155C22⋊Q8—221no—
1156C22⋊Q8—221no—
1157C22⋊Q8—221no—
1158C22⋊Q8—221no—
1159C22⋊Q8C22×D1111yescharacteristic
1160#121—111no—
1161#121—111no—
1162#121—111no—
1163#121—221no—
1164#121—221no—
1165#121C22×D1111yescharacteristic
1166C4×Q8—21no—
1167C4×Q8—21no—
1168C4×Q8—111no—
1169C4×Q8—111no—
1170C4×Q8—111no—
1171C4×Q8—111no—
1172C4×Q8—111no—
1173C4×Q8—111no—
1174C4×Q8—111no—
1175C4×Q8—221no—
1176C4×Q8—221no—
1177C4×Q8—221no—
1178C4×Q8—221no—
1179C4×Q8C22×D1111yescharacteristic
1180C4×Q8C22×D1111yescharacteristic
1181C4×Q8C22×D1111yescharacteristic
1182C4×Q8C22×D1111yescharacteristic
1183C4×Q8C22×D1111yescharacteristic
1184C4×D4—111no—
1185C4×D4—111no—
1186C4×D4—111no—
1187C4×D4—111no—
1188C4×D4—111no—
1189C4×D4—111no—
1190C4×D4—111no—
1191C4×D4—111no—
1192C4×D4—111no—
1193C4×D4—111no—
1194C4×D4—111no—
1195C4×D4—221no—
1196C4×D4—221no—
1197C4×D4—221no—
1198C4×D4—221no—
1199C4×D4—221no—
1200C4×D4—221no—
1201C4×D4—221no—
1202C4×D4—221no—
1203C4×D4—221no—
1204C4×D4—221no—
1205C4×D4—221no—
1206C4×D4—221no—
1207C4×D4—221no—
1208C4×D4—221no—
1209C4×D4—221no—
1210C4×D4—221no—
1211C4×D4—221no—
1212C4×D4—221no—
1213C4×D4—221no—
1214C4×D4—221no—
1215C4×D4—221no—
1216C4×D4—221no—
1217C4×D4C22×D1111yescharacteristic
1218#117—21no—
1219#117—21no—
1220#117—111no—
1221#117—111no—
1222#117—111no—
1223#117—111no—
1224#117—111no—
1225#117—111no—
1226#117—111no—
1227#117—111no—
1228#117—111no—
1229#117—111no—
1230#117—221no—
1231#117—221no—
1232#117—221no—
1233#117—221no—
1234#117—221no—
1235#117—221no—
1236#117—221no—
1237#117—221no—
1238#117—221no—
1239#117—221no—
1240#117—221no—
1241#117—221no—
1242#117C22×D1111yescharacteristic
1243#117C22×D1111yescharacteristic
1244C2×C4⋊C4—111no—
1245C2×C4⋊C4—111no—
1246C2×C4⋊C4—111no—
1247C2×C4⋊C4—111no—
1248C2×C4⋊C4—111no—
1249C2×C4⋊C4—111no—
1250C2×C4⋊C4—221no—
1251C2×C4⋊C4—221no—
1252C2×C4⋊C4—221no—
1253C2×C4⋊C4—221no—
1254C2×C4⋊C4—221no—
1255C2×C4⋊C4—221no—
1256C2×C4⋊C4—221no—
1257C2×C22⋊C4—111no—
1258C2×C22⋊C4—111no—
1259C2×C22⋊C4—221no—
1260C2×C22⋊C4—221no—
1261C2×C22⋊C4—221no—
1262C2×C22⋊C4—221no—
1263C2×C22⋊C4—221no—
1264C2×C22⋊C4—221no—
1265C2×C22⋊C4—221no—
1266C2×C22⋊C4—221no—
1267C2×C22⋊C4—221no—
1268C2×C22⋊C4—221no—
1269C2×C42—111no—
1270C2×C42—111no—
1271C2×C42—221no—
1272C2×C42—221no—
1273C2×C42—221no—
1274C2×C42—221no—
1275C2×C42—221no—
1276C2×C42—221no—
1277#107—111no—
1278#107—111no—
1279#107—111no—
1280#107—111no—
1281#107—111no—
1282#107—111no—
1283#107C22×D1111yescharacteristic
1284#107C22×D1111yescharacteristic
1285#106—111no—
1286#106—111no—
1287#106—111no—
1288#106—111no—
1289#106—111no—
1290#106—111no—
1291#106C22×D1111yescharacteristic
1292#106C22×D1111yescharacteristic
1293C4⋊C8—111no—
1294C4⋊C8—111no—
1295C4⋊C8—111no—
1296C4⋊C8—111no—
1297C4⋊C8—111no—
1298C4⋊C8—111no—
1299C4⋊C8C22×D1111yescharacteristic
1300C4⋊C8C22×D1111yescharacteristic
1301#103—111no—
1302#103—111no—
1303#103—111no—
1304#103—111no—
1305#103—111no—
1306#103—111no—
1307#103—111no—
1308#103—111no—
1309#103—111no—
1310#103—111no—
1311#103C22×D1111yescharacteristic
1312#103C22×D1111yescharacteristic
1313#103C22×D1111yescharacteristic
1314#103C22×D1111yescharacteristic
1315#103C22×D1111yescharacteristic
1316#103C22×D1111yescharacteristic
1317#102—111no—
1318#102—111no—
1319#102—111no—
1320#102—111no—
1321#102—111no—
1322#102—111no—
1323#102—111no—
1324#102—111no—
1325#102—111no—
1326#102—111no—
1327#102—111no—
1328#102—111no—
1329#102—111no—
1330#102—111no—
1331#102C22×D1111yescharacteristic
1332#102C22×D1111yescharacteristic
1333C22⋊C8—111no—
1334C22⋊C8—111no—
1335C22⋊C8—111no—
1336C22⋊C8—111no—
1337C22⋊C8—111no—
1338C22⋊C8—111no—
1339C22⋊C8C22×D1111yescharacteristic
1340C22⋊C8C22×D1111yescharacteristic
1341#97—111no—
1342#97—111no—
1343#97—111no—
1344#97C22×D1111yescharacteristic
1345C4×C8—111no—
1346C4×C8—111no—
1347C4×C8—111no—
1348C4×C8C22×D1111yescharacteristic
1349C2×C11—41no—
1350C2×C11—81no—
1351C2×C11C2×#52511yescharacteristic
1352C2×C11#358511yescharacteristic
1353C2×C11#358611yescharacteristic
1354D11—22no—
1355D11—41no—
1356D11—42no—
1357D11—42no—
1358D11—81no—
1359C24—111no—
1360C24—221no—
1361C24—221no—
1362#41—114no—
1363#41—114no—
1364#41—222no—
1365#41—222no—
1366#41—222no—
1367#41—222no—
1368#41—228no—
1369#41—228no—
1370#41—222no—
1371#41—222no—
1372C2×Q8—22no—
1373C2×Q8—22no—
1374C2×Q8—21no—
1375C2×Q8—21no—
1376C2×Q8—111no—
1377C2×Q8—221no—
1378C2×Q8—221no—
1379C2×Q8—221no—
1380C2×Q8—222no—
1381C2×Q8—222no—
1382C2×Q8—221no—
1383C2×Q8—882no—
1384C2×Q8C23×D1111yescharacteristic
1385C2×Q8C23×D1111yescharacteristic
1386C2×Q8C23×D1111yescharacteristic
1387C2×D4—21no—
1388C2×D4—111no—
1389C2×D4—111no—
1390C2×D4—111no—
1391C2×D4—222no—
1392C2×D4—222no—
1393C2×D4—221no—
1394C2×D4—221no—
1395C2×D4—221no—
1396C2×D4—221no—
1397C2×D4—228no—
1398C2×D4—221no—
1399C2×D4—222no—
1400C2×D4—222no—
1401C2×D4—221no—
1402C2×D4—221no—
1403C2×D4—221no—
1404C2×D4—221no—
1405C2×D4—882no—
1406C2×D4C23×D1111yescharacteristic
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—111no—
1410C22×C4—111no—
1411C22×C4—111no—
1412C22×C4—111no—
1413C22×C4—111no—
1414C22×C4—111no—
1415C22×C4—111no—
1416C22×C4—111no—
1417C22×C4—111no—
1418C22×C4—221no—
1419C22×C4—221no—
1420C22×C4—221no—
1421C22×C4—221no—
1422C22×C4—222no—
1423C22×C4—222no—
1424C22×C4—221no—
1425C22×C4—221no—
1426C22×C4—221no—
1427C22×C4—221no—
1428C22×C4—221no—
1429C22×C4—228no—
1430C22×C4—221no—
1431C22×C4—221no—
1432C22×C4—221no—
1433C22×C4—221no—
1434C22×C4—221no—
1435C22×C4—221no—
1436C22×C4—221no—
1437C22×C4—221no—
1438C22×C4—221no—
1439C22×C4—221no—
1440C22×C4—221no—
1441C22×C4—882no—
1442C22×C4C23×D1111yescharacteristic
1443Q16—22no—
1444Q16—22no—
1445Q16—222no—
1446Q16—222no—
1447SD16—22no—
1448SD16—22no—
1449SD16—222no—
1450SD16—222no—
1451SD16—222no—
1452SD16—222no—
1453SD16—222no—
1454SD16—222no—
1455D8—222no—
1456D8—222no—
1457D8—222no—
1458D8—222no—
1459M16—222no—
1460M16—222no—
1461M16—222no—
1462M16—222no—
1463C2×C8—111no—
1464C2×C8—111no—
1465C2×C8—111no—
1466C2×C8—111no—
1467C2×C8C23×D1111yescharacteristic
1468C2×C8C23×D1111yescharacteristic
1469C2×C8C23×D1111yescharacteristic
1470C2×C8C23×D1111yescharacteristic
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—111no—
1479C4⋊C4—111no—
1480C4⋊C4—111no—
1481C4⋊C4—111no—
1482C4⋊C4—111no—
1483C4⋊C4—111no—
1484C4⋊C4—111no—
1485C4⋊C4—111no—
1486C4⋊C4—111no—
1487C4⋊C4—111no—
1488C4⋊C4—221no—
1489C4⋊C4—221no—
1490C4⋊C4—221no—
1491C4⋊C4—221no—
1492C4⋊C4—221no—
1493C4⋊C4—221no—
1494C4⋊C4—221no—
1495C4⋊C4—221no—
1496C4⋊C4—221no—
1497C4⋊C4—221no—
1498C4⋊C4—221no—
1499C4⋊C4—221no—
1500C4⋊C4—221no—
1501C4⋊C4—221no—
1502C4⋊C4—221no—
1503C4⋊C4—221no—
1504C4⋊C4—221no—
1505C4⋊C4D4×D1111yescharacteristic
1506C4⋊C4D4×D1111yescharacteristic
1507C4⋊C4C23×D1111yescharacteristic
1508C4⋊C4C23×D1111yescharacteristic
1509C4⋊C4C23×D1111yescharacteristic
1510C4⋊C4C23×D1111yescharacteristic
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—111no—
1518C22⋊C4—111no—
1519C22⋊C4—111no—
1520C22⋊C4—111no—
1521C22⋊C4—111no—
1522C22⋊C4—111no—
1523C22⋊C4—221no—
1524C22⋊C4—221no—
1525C22⋊C4—221no—
1526C22⋊C4—221no—
1527C22⋊C4—221no—
1528C22⋊C4—221no—
1529C22⋊C4—221no—
1530C22⋊C4—221no—
1531C22⋊C4—221no—
1532C22⋊C4—221no—
1533C22⋊C4—221no—
1534C22⋊C4—221no—
1535C22⋊C4—221no—
1536C22⋊C4—221no—
1537C22⋊C4—221no—
1538C22⋊C4—221no—
1539C22⋊C4—221no—
1540C22⋊C4—221no—
1541C22⋊C4—221no—
1542C22⋊C4—221no—
1543C22⋊C4—221no—
1544C22⋊C4—221no—
1545C22⋊C4—221no—
1546C22⋊C4—221no—
1547C22⋊C4—221no—
1548C22⋊C4—221no—
1549C22⋊C4D4×D1111yescharacteristic
1550C22⋊C4D4×D1111yescharacteristic
1551C42—21no—
1552C42—21no—
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—111no—
1558C42—111no—
1559C42—111no—
1560C42—111no—
1561C42—111no—
1562C42—111no—
1563C42—221no—
1564C42—221no—
1565C42—221no—
1566C42—221no—
1567C42—221no—
1568C42—221no—
1569C42—221no—
1570C42—221no—
1571C42—221no—
1572C42—221no—
1573C42C23×D1111yescharacteristic
1574C42C23×D1111yescharacteristic
1575C11#6056711yescharacteristic, complemented, Sylow
1576C23—21no—
1577C23—111no—
1578C23—111no—
1579C23—222no—
1580C23—224no—
1581C23—221no—
1582C23—221no—
1583C23—221no—
1584C23—441no—
1585C23—441no—
1586C23—442no—
1587C23—442no—
1588C23—442no—
1589C23—881no—
1590C23—881no—
1591C23C2×D4×D1111yescharacteristic
1592Q8—24no—
1593Q8—21no—
1594Q8—21no—
1595Q8—21no—
1596Q8—21no—
1597Q8—81no—
1598Q8—221no—
1599Q8—221no—
1600Q8—442no—
1601Q8—881no—
1602Q8—881no—
1603Q8—881no—
1604Q8#41×D1112yes—
1605Q8#41×D1112yes—
1606D4—21no—
1607D4—21no—
1608D4—81no—
1609D4—112no—
1610D4—112no—
1611D4—224no—
1612D4—224no—
1613D4—224no—
1614D4—224no—
1615D4—224no—
1616D4—221no—
1617D4—221no—
1618D4—221no—
1619D4—221no—
1620D4—442no—
1621D4—881no—
1622D4—881no—
1623D4—881no—
1624C2×C4—24no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—81no—
1635C2×C4—111no—
1636C2×C4—112no—
1637C2×C4—112no—
1638C2×C4—111no—
1639C2×C4—111no—
1640C2×C4—111no—
1641C2×C4—111no—
1642C2×C4—111no—
1643C2×C4—222no—
1644C2×C4—224no—
1645C2×C4—224no—
1646C2×C4—222no—
1647C2×C4—224no—
1648C2×C4—224no—
1649C2×C4—222no—
1650C2×C4—221no—
1651C2×C4—221no—
1652C2×C4—221no—
1653C2×C4—221no—
1654C2×C4—221no—
1655C2×C4—221no—
1656C2×C4—221no—
1657C2×C4—441no—
1658C2×C4—441no—
1659C2×C4—441no—
1660C2×C4—441no—
1661C2×C4—442no—
1662C2×C4—442no—
1663C2×C4—442no—
1664C2×C4—881no—
1665C2×C4—881no—
1666C2×C4—881no—
1667C2×C4—881no—
1668C2×C4—881no—
1669C2×C4—881no—
1670C2×C4—881no—
1671C2×C4—881no—
1672C2×C4—881no—
1673C2×C4—881no—
1674C2×C4—881no—
1675C2×C4—881no—
1676C2×C4—881no—
1677C2×C4C2×D4×D1111yescharacteristic
1678C2×C4C2×D4×D1111yescharacteristic
1679C2×C4C2×D4×D1111yescharacteristic
1680C2×C4C2×D4×D1111yescharacteristic
1681C2×C4C2×D4×D1111yescharacteristic
1682C2×C4C24×D1111yescharacteristic
1683C8—21no—
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—221no—
1688C8—221no—
1689C8—221no—
1690C8—221no—
1691C22—21no—
1692C22—21no—
1693C22—21no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—112no—
1698C22—221no—
1699C22—221no—
1700C22—221no—
1701C22—221no—
1702C22—222no—
1703C22—222no—
1704C22—221no—
1705C22—441no—
1706C22—441no—
1707C22—441no—
1708C22—441no—
1709C22—441no—
1710C22—441no—
1711C22—441no—
1712C22—882no—
1713C22—884no—
1714C22—884no—
1715C22C22×D4×D1111yescharacteristic
1716C4—21no—
1717C4—21no—
1718C4—21no—
1719C4—21no—
1720C4—22no—
1721C4—22no—
1722C4—21no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—112no—
1729C4—221no—
1730C4—221no—
1731C4—221no—
1732C4—221no—
1733C4—221no—
1734C4—441no—
1735C4—441no—
1736C4—441no—
1737C4—441no—
1738C4—441no—
1739C4C2×#41×D1111yescharacteristic
1740C4C2×#41×D1111yescharacteristic
1741C2—41no—
1742C2—81no—
1743C2—222no—
1744C2—441no—
1745C2—442no—
1746C2—442no—
1747C2—881no—
1748C2D11×#52511yescharacteristic
1749C2#1308339411yescharacteristic
1750C2#1308340111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3121C2
socleC22×C11C23×D4
prime radical#13077867C2
hypercenter#3121D11
hypocenterC11#60567
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3121

Complements

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

NH ≅ G/Ntype
1. D11×#542C2semidirect
2. #13081818C2semidirect
3. #13078900C2semidirect
4. #13078899C2semidirect
5. #13078892C2semidirect
6. #13078891C2semidirect
7. #13078885C2semidirect
8. #13078884C2semidirect
9. #13078877C2semidirect
10. #13078876C2semidirect
11. #13078846C2semidirect
12. #13078845C2semidirect
13. #13078838C2semidirect
14. #13078803C2semidirect
15. #13078802C2semidirect
16. #13078795C2semidirect
17. #13078794C2semidirect
18. #13078563C2semidirect
19. #13078555C2semidirect
20. #13078430C2semidirect
21. #13078426C2semidirect
22. #13078107C2semidirect
23. #13078107C2semidirect
24. #13077875C2semidirect
26. C4×#66971C2semidirect
27. #13077432C2semidirect
28. C4×#66967C2semidirect
29. #13077421C2semidirect
30. #13077250C2semidirect
31. C11×#3121C2semidirect
34. C11×#519C22semidirect
35. #10623343C22semidirect
40. #10623264C22semidirect
41. D11×C4⋊Q8C22semidirect
44. #10623213C22semidirect
46. D11×#124C22semidirect
56. #10623113C22semidirect
59. #10623105C22semidirect
60. #10623105C22semidirect
61. #10623105C22semidirect
62. #10623105C22semidirect
69. C4×Q8×D11C22semidirect
70. #10623092C22semidirect
71. C4×D4×D11C22semidirect
75. #10623052C22semidirect
76. #10623052C22semidirect
81. C11×#485C22semidirect
83. C11×#477C22semidirect
84. C11×#475C22semidirect
85. C11×#464C22semidirect
86. C11×#464C22semidirect
87. C11×#451C22semidirect
89. C11×#441C22semidirect
90. C11×#440C22semidirect
91. C4×C11×Q16C22semidirect
92. C4×C11×SD16C22semidirect
93. C11×#433C22semidirect
94. #10622841C22semidirect
96. #10622800C22semidirect
97. #10622800C22semidirect
98. #10622798C22semidirect
99. #10622798C22semidirect
100. #10622797C22semidirect
101. Q16×Dic11C22semidirect
104. #10622779C22semidirect
105. #10622779C22semidirect
106. #10622777C22semidirect
107. SD16×Dic11C22semidirect
108. #10622700C22semidirect
109. #10622697C22semidirect
110. #10622670C22semidirect
111. #10622670C22semidirect
112. #10622659C22semidirect
113. #10622658C22semidirect
116. #10622643C22semidirect
117. C4×#4326C22semidirect
118. #10622641C22semidirect
119. #10622641C22semidirect
120. #10622639C22semidirect
121. #10622639C22semidirect
122. C4×#4325C22semidirect
123. C4×#4325C22semidirect
124. #10622634C22semidirect
125. #10622633C22semidirect
126. #10622627C22semidirect
127. C4×#4323C22semidirect
129. #10622613C22semidirect
130. #10622609C22semidirect
131. #10622503C22semidirect
132. #10622503C22semidirect
133. #10622502C22semidirect
134. #10622497C22semidirect
135. #10622495C22semidirect
136. #10622494C22semidirect
137. #10622494C22semidirect
138. #10622485C22semidirect
139. #10622483C22semidirect
140. #10622483C22semidirect
141. #10622482C22semidirect
142. #10622476C22semidirect
143. #10622475C22semidirect
144. #10622474C22semidirect
145. #10622474C22semidirect
146. #10622465C22semidirect
147. #10622459C22semidirect
148. #10622457C22semidirect
149. #10622457C22semidirect
150. #10622455C22semidirect
151. #10622453C22semidirect
152. #10622453C22semidirect
153. #10622450C22semidirect
154. #10622450C22semidirect
155. #10622432C22semidirect
156. #10622432C22semidirect
157. #10622430C22semidirect
158. #10622430C22semidirect
161. #10622423C22semidirect
162. #10622423C22semidirect
163. #10622422C22semidirect
164. #10622418C22semidirect
169. #10622415C22semidirect
170. #10622415C22semidirect
171. #10622407C22semidirect
172. #10622407C22semidirect
173. #10622404C22semidirect
174. #10622404C22semidirect
175. #10622403C22semidirect
176. #10622402C22semidirect
177. #10622401C22semidirect
178. #10622401C22semidirect
179. #10622400C22semidirect
180. #10622400C22semidirect
181. #10622398C22semidirect
182. #10622390C22semidirect
183. #10622387C22semidirect
184. #10622383C22semidirect
185. #10622383C22semidirect
186. #10622369C22semidirect
189. #10622344C22semidirect
192. #10622336C22semidirect
193. #10622333C22semidirect
194. #10622333C22semidirect
195. #10622324C22semidirect
196. #10622323C22semidirect
197. #10622322C22semidirect
198. #10622320C22semidirect
199. C4×D88C22semidirect
200. C4×#4314C22semidirect
201. #10622303C22semidirect
202. C4×#4313C22semidirect
714. #3121D11semidirect
879. #519C2×D11semidirect
899. #485C2×D11semidirect
915. #477C2×D11semidirect
923. #475C2×D11semidirect
934. #464C2×D11semidirect
935. #464C2×D11semidirect
949. #451C2×D11semidirect
967. #441C2×D11semidirect
975. #440C2×D11semidirect
979. C4×Q16C2×D11semidirect
987. C4×SD16C2×D11semidirect
999. #433C2×D11semidirect
1575. C11#60567semidirect

Maximal subgroups

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

subgroupindex
D11×#5422
#130818182
#130789002
#130788992
#130788922
#130788912
#130788852
#130788842
#130788772
#130788762
#130788462
#130788452
#130788382
#130788032
#130788022
#130787952
#130787942
#130785632
#130785552
#130784302
#130784262
#130781072
#130778752
#130778672
C4×#669712
#130774322
C4×#669672
#130774212
#130772502
C11×#31212
#6056711