Finite Group Databasebeta

← #15639795

Subgroups — #15639795

Order 2816.

2050 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082892C211yesmaximal, characteristic, complemented
2#13082293C211yesmaximal, characteristic, complemented
3#13080906C211yesmaximal, characteristic, complemented
4#13080799C211yesmaximal, characteristic, complemented
5#13080775C211yesmaximal, characteristic, complemented
6#13080683C211yesmaximal, characteristic, complemented
7#13080646C211yesmaximal, characteristic, complemented
8#13080543C211yesmaximal, characteristic, complemented
9#13080531C211yesmaximal, characteristic, complemented
10#13080358C211yesmaximal, characteristic, complemented
11#13080316C211yesmaximal, characteristic, complemented
12#13080244C211yesmaximal, characteristic, complemented
13#13080228C211yesmaximal, characteristic, complemented
14#13080189C211yesmaximal, characteristic, complemented
15#13080166C211yesmaximal, characteristic, complemented
16#13080148C211yesmaximal, characteristic, complemented
17#13080127C211yesmaximal, characteristic, complemented
18#13079732C211yesmaximal, characteristic, complemented
19#13079728C211yesmaximal, characteristic, complemented
20#13079499C211yesmaximal, characteristic, complemented
21#13079474C211yesmaximal, characteristic, complemented
22#13079447C211yesmaximal, characteristic, complemented
23#13079401C211yesmaximal, characteristic, complemented
24#13078900C211yesmaximal, characteristic, complemented
25#13078884C211yesmaximal, characteristic, complemented
26#13077906C211yesmaximal, characteristic, complemented
27#13077903C211yesmaximal, characteristic, complemented
28#13077862C211yesmaximal, characteristic, complemented
29#13077839C211yesmaximal, characteristic, complemented
30#13077660C211yesmaximal, characteristic, complemented
31C11×#3328C211yesmaximal, characteristic, complemented
32C2×#67040C2211yescharacteristic
33C22×#4343C2211yescharacteristic, complemented
34C11×#556C2211yescharacteristic
35D4×Q8×C11C2211yescharacteristic
36#10623348C2211yescharacteristic
37Q8×C22⋊D11C2211yescharacteristic, complemented
38C2×#66995C2211yescharacteristic
39C22×#4325C2211yescharacteristic, complemented
40C2×#66972C2211yescharacteristic
41C2×#66972C2211yescharacteristic
42C2×#66971C2211yescharacteristic, complemented
43C2×Q16×D11C2211yescharacteristic, complemented
44C2×#66961C2211yescharacteristic
45C2×#66961C2211yescharacteristic, complemented
46#10623265C2211yescharacteristic, complemented
47#10623264C2211yescharacteristic, complemented
48#10623257—21no—
49#10623257C2211yescharacteristic, complemented
50#10623255—21no—
51#10623255C2211yescharacteristic, complemented
52#10623242—21no—
53#10623241—21no—
54#10623236—21no—
55#10623235—21no—
56#10623214—21no—
57#10623209—21no—
58#10623164C2211yescharacteristic
59#10623162—21no—
60#10623162C2211yescharacteristic
61#10623161—21no—
62#10623161C2211yescharacteristic, complemented
63#10623161C2211yescharacteristic, complemented
64#10623160—21no—
65#10623160C2211yescharacteristic
66#10623159C2211yescharacteristic, complemented
67#10623158C2211yescharacteristic
68D11×C22⋊Q8—21no—
69D11×C22⋊Q8C2211yescharacteristic, complemented
70#10623116—21no—
71#10623113—21no—
72#10623113C2211yescharacteristic, complemented
73#10623107C2211yescharacteristic, complemented
74#10623107C2211yescharacteristic, complemented
75#10623105C2211yescharacteristic, complemented
76#10623081—21no—
77#10623081C2211yescharacteristic
78#10623081C2211yescharacteristic
79#10623078—21no—
80#10623078C2211yescharacteristic
81#10623064C2211yescharacteristic, complemented
82#10623063C2211yescharacteristic
83#10623056C2211yescharacteristic, complemented
84#10623055C2211yescharacteristic
85C11×#487C2211yescharacteristic, complemented
86C11×#485C2211yescharacteristic, complemented
87C11×#485C2211yescharacteristic, complemented
88C11×#475C2211yescharacteristic, complemented
89C11×#470C2211yescharacteristic, complemented
90C11×#470C2211yescharacteristic, complemented
91C11×#462C2211yescharacteristic, complemented
92C11×#451C2211yescharacteristic, complemented
93C11×#451C2211yescharacteristic, complemented
94C4×C11×Q16C2211yescharacteristic, complemented
95C11×#436C2211yescharacteristic
96C11×#419C2211yescharacteristic, complemented
97C11×#419C2211yescharacteristic, complemented
98#10622841C2211yescharacteristic, complemented
99#10622840C2211yescharacteristic
100#10622804C2211yescharacteristic, complemented
101#10622803C2211yescharacteristic, complemented
102#10622800C2211yescharacteristic, complemented
103#10622800C2211yescharacteristic, complemented
104#10622800C2211yescharacteristic, complemented
105#10622799C2211yescharacteristic, complemented
106#10622799C2211yescharacteristic, complemented
107#10622798C2211yescharacteristic, complemented
108#10622747C2211yescharacteristic
109#10622747C2211yescharacteristic, complemented
110#10622742C2211yescharacteristic, complemented
111#10622741C2211yescharacteristic, complemented
112#10622740C2211yescharacteristic, complemented
113#10622739C2211yescharacteristic, complemented
114#10622702C2211yescharacteristic, complemented
115#10622699C2211yescharacteristic, complemented
116#10622697C2211yescharacteristic, complemented
117#10622696C2211yescharacteristic, complemented
118#10622665C2211yescharacteristic, complemented
119#10622664C2211yescharacteristic, complemented
120#10622662C2211yescharacteristic
121#10622661C2211yescharacteristic, complemented
122#10622660C2211yescharacteristic
123#10622660C2211yescharacteristic, complemented
124#10622659C2211yescharacteristic, complemented
125#10622659C2211yescharacteristic, complemented
126#10622641C2211yescharacteristic, complemented
127#10622641C2211yescharacteristic, complemented
128#10622639C2211yescharacteristic, complemented
129#10622639C2211yescharacteristic, complemented
130#10622624C2211yescharacteristic
131#10622616C2211yescharacteristic, complemented
132#10622615C2211yescharacteristic, complemented
133#10622614C2211yescharacteristic, complemented
134#10622609C2211yescharacteristic, complemented
135#10622503C2211yescharacteristic, complemented
136#10622500C2211yescharacteristic, complemented
137#10622496C2211yescharacteristic, complemented
138#10622495C2211yescharacteristic, complemented
139#10622482C2211yescharacteristic, complemented
140#10622480C2211yescharacteristic, complemented
141#10622479C2211yescharacteristic, complemented
142#10622478C2211yescharacteristic, complemented
143#10622477C2211yescharacteristic, complemented
144#10622476C2211yescharacteristic, complemented
145#10622475C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622457C2211yescharacteristic, complemented
148#10622457C2211yescharacteristic, complemented
149#10622453C2211yescharacteristic, complemented
150#10622449C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic, complemented
152#10622432C2211yescharacteristic, complemented
153#10622431C2211yescharacteristic, complemented
154#10622427C2211yescharacteristic, complemented
155#10622427C2211yescharacteristic, complemented
156#10622426C2211yescharacteristic, complemented
157#10622425C2211yescharacteristic, complemented
158#10622424C2211yescharacteristic
159#10622424C2211yescharacteristic
160#10622424C2211yescharacteristic
161#10622424C2211yescharacteristic
162#10622424C2211yescharacteristic
163#10622424C2211yescharacteristic
164#10622424C2211yescharacteristic, complemented
165#10622424C2211yescharacteristic, complemented
166#10622423C2211yescharacteristic, complemented
167#10622423C2211yescharacteristic, complemented
168#10622423C2211yescharacteristic, complemented
169#10622423C2211yescharacteristic, complemented
170#10622423C2211yescharacteristic, complemented
171#10622422C2211yescharacteristic, complemented
172#10622421C2211yescharacteristic, complemented
173#10622420C2211yescharacteristic, complemented
174#10622420C2211yescharacteristic, complemented
175#10622419C2211yescharacteristic, complemented
176#10622419C2211yescharacteristic, complemented
177#10622419C2211yescharacteristic, complemented
178#10622419C2211yescharacteristic, complemented
179#10622419C2211yescharacteristic, complemented
180#10622417C2211yescharacteristic, complemented
181#10622417C2211yescharacteristic, complemented
182#10622417C2211yescharacteristic, complemented
183#10622415C2211yescharacteristic, complemented
184#10622411C2211yescharacteristic, complemented
185#10622408C2211yescharacteristic, complemented
186#10622407C2211yescharacteristic, complemented
187#10622406C2211yescharacteristic, complemented
188#10622405C2211yescharacteristic, complemented
189#10622402C2211yescharacteristic, complemented
190#10622401C2211yescharacteristic, complemented
191#10622346C2211yescharacteristic
192#10622346C2211yescharacteristic, complemented
193#10622345C2211yescharacteristic
194#10622345C2211yescharacteristic, complemented
195#10622341C2211yescharacteristic, complemented
196#10622340C2211yescharacteristic, complemented
197(C22⋊D11)⋊C8C2211yescharacteristic, complemented
198D11×C22⋊C8C2211yescharacteristic, complemented
199#10622309C2211yescharacteristic, complemented
200C4×D88C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202C8×D44C2211yescharacteristic, complemented
203C22×Q8×C11C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205#67040—42no—
206#67040—42no—
207C2×#4343—21no—
208C2×#4343—21no—
209C2×#4343—21no—
210C2×#4343—42no—
211C2×#4343—42no—
212C2×#4343C2311yescharacteristic
213C2×#4343C2311yescharacteristic
214C2×#4343C2311yescharacteristic
215C2×#4343C2311yescharacteristic
216C2×#4343C2311yescharacteristic
217C2×#4343C2311yescharacteristic
218C2×Q8×D11—21no—
219C2×Q8×D11C2311yescharacteristic
220C2×Q8×D11C2311yescharacteristic
221C2×Q8×D11C2311yescharacteristic
222C2×#4339—21no—
223C2×#4339—21no—
224C2×#4339C2311yescharacteristic
225C2×#4339C2311yescharacteristic
226C2×#4339C2311yescharacteristic
227C22×D44—21no—
228C22×D44C2311yescharacteristic
229C22×D44C2311yescharacteristic
230C22×C4×D11—21no—
231C22×C4×D11C2311yescharacteristic
232C2×C11×Q16C2311yescharacteristic
233C2×C11×Q16C2311yescharacteristic
234C2×C11×Q16C2311yescharacteristic
235C2×C11×M16C2311yescharacteristic
236C2×C11×M16C2311yescharacteristic
237C11×C4⋊Q8—21no—
238C11×C4⋊Q8C2311yescharacteristic
239C11×C4⋊Q8C2311yescharacteristic
240C11×#126—21no—
241C11×#126—21no—
242C11×#124—21no—
243C11×C22⋊Q8—21no—
244C11×C22⋊Q8—21no—
245C11×C22⋊Q8C2311yescharacteristic
246C11×C22⋊Q8C2311yescharacteristic
247C11×C22⋊Q8C2311yescharacteristic
248C11×C22⋊Q8C2311yescharacteristic
249C4×Q8×C11—21no—
250C4×Q8×C11C2311yescharacteristic
251C4×Q8×C11C2311yescharacteristic
252C4×D4×C11—21no—
253C4×D4×C11C2311yescharacteristic
254C11×#117C2311yescharacteristic
255C11×#117C2311yescharacteristic
256#67000—21no—
257#67000—21no—
258#67000—21no—
259#67000—21no—
260#67000C2311yescharacteristic
261#67000C2311yescharacteristic
262#66999—21no—
263#66999—21no—
264#66999—21no—
265#66999C2311yescharacteristic
266#66999C2311yescharacteristic
267#66999C2311yescharacteristic
268Q8×Dic11C2311yescharacteristic
269#66997—21no—
270#66997C2311yescharacteristic
271C2×#4326C2311yescharacteristic
272C2×#4326C2311yescharacteristic
273C2×#4326C2311yescharacteristic
274C2×#4326C2311yescharacteristic
275#66995—42no—
276C2×#4325—42no—
277C2×#4325C2311yescharacteristic
278C2×#4325C2311yescharacteristic
279C2×#4325C2311yescharacteristic
280C2×#4325C2311yescharacteristic
281C2×#4325C2311yescharacteristic
282C2×#4325C2311yescharacteristic
283C2×#4325C2311yescharacteristic
284C2×#4325C2311yescharacteristic
285#66992D411yescharacteristic
286#66990—21no—
287#66990—21no—
288#66990D411yescharacteristic
289#66983—21no—
290#66983C2311yescharacteristic
291#66983C2311yescharacteristic
292C4×C22⋊D11—21no—
293C4×C22⋊D11—21no—
294C4×C22⋊D11C2311yescharacteristic
295C4×C22⋊D11C2311yescharacteristic
296#66977—21no—
297#66977C2311yescharacteristic
298#66977C2311yescharacteristic
299C2×#4318C2311yescharacteristic
300C22×C11⋊C8C2311yescharacteristic
301#66972—42no—
302#66972—42no—
303#66971—42no—
304Q16×D11—42no—
305#66961—42no—
306#66961—42no—
307C2×Dic44C2311yescharacteristic
308C2×D88C2311yescharacteristic
309C2×D88C2311yescharacteristic
310C2×D88C2311yescharacteristic
311C2×D88C2311yescharacteristic
312C2×#4314C2311yescharacteristic
313C2×#4314C2311yescharacteristic
314C2×#4314C2311yescharacteristic
315C2×#4314C2311yescharacteristic
316C2×#4313C2311yescharacteristic
317C2×C8×D11C2311yescharacteristic
318C2×C8×D11C2311yescharacteristic
319C2×C8×D11C2311yescharacteristic
320#66951—21no—
321#66950—21no—
322#66950—21no—
323#66950C2311yescharacteristic
324#66950C2311yescharacteristic
325#66950C2311yescharacteristic
326#66949—21no—
327#66949—21no—
328#66949—21no—
329#66949—21no—
330#66949—21no—
331#66949—21no—
332#66949D411yescharacteristic
333#66948—21no—
334#66948—21no—
335#66948—21no—
336#66948—21no—
337#66948—21no—
338#66948—21no—
339#66948—21no—
340#66948C2311yescharacteristic
341#66948C2311yescharacteristic
342#66948C2311yescharacteristic
343#66948C2311yescharacteristic
344#66948C2311yescharacteristic
345#66948C2311yescharacteristic
346#66947—21no—
347#66947—21no—
348#66947—21no—
349#66947—21no—
350#66947—21no—
351#66947—21no—
352#66947—21no—
353#66947—21no—
354#66947—21no—
355#66947—21no—
356#66947—21no—
357#66947—21no—
358#66947—21no—
359#66947D411yescharacteristic
360#66946—21no—
361#66946—21no—
362#66946—21no—
363#66946C2311yescharacteristic
364#66946C2311yescharacteristic
365#66945—21no—
366#66945C2311yescharacteristic
367#66945C2311yescharacteristic
368C4⋊C4×D11—21no—
369C4⋊C4×D11—21no—
370C4⋊C4×D11—21no—
371C4⋊C4×D11—21no—
372C4⋊C4×D11C2311yescharacteristic
373#66941—21no—
374#66941C2311yescharacteristic
375#66940C2311yescharacteristic
376#66939—21no—
377#66938—21no—
378#66938—21no—
379#66938—21no—
380#66938—21no—
381#66937—21no—
382#66937—21no—
383#66937—21no—
384#66937—21no—
385#66937—21no—
386#66937—21no—
387#66937—21no—
388#66937D411yescharacteristic
389#66936—21no—
390#66936—21no—
391#66936D411yescharacteristic
392#66935—21no—
393#66935—21no—
394#66935—21no—
395#66935—21no—
396#66935—21no—
397#66935—21no—
398#66935D411yescharacteristic
399(C22⋊D11)⋊C4—21no—
400C22⋊C4×D11—21no—
401C22⋊C4×D11—21no—
402C22⋊C4×D11—21no—
403C22⋊C4×D11—21no—
404C22⋊C4×D11—21no—
405#66932—21no—
406#66931—21no—
407#66931D411yescharacteristic
408#66929—21no—
409#66929—21no—
410#66928—21no—
411#66928—21no—
412#66928—21no—
413#66928—21no—
414#66928—21no—
415#66928C2311yescharacteristic
416#66928C2311yescharacteristic
417#66927—21no—
418C4×D44—21no—
419C4×D44—21no—
420C4×D44—21no—
421C4×D44—21no—
422C4×D44—21no—
423C4×D44C2311yescharacteristic
424C4×D44C2311yescharacteristic
425C4×D44C2311yescharacteristic
426#66925—21no—
427#66925—21no—
428#66925C2311yescharacteristic
429C4×Dic22—21no—
430C11×#107C2311yescharacteristic
431C11×#106C2311yescharacteristic
432C11×#106C2311yescharacteristic
433C11×C4⋊C8C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#103C2311yescharacteristic
438C11×#103C2311yescharacteristic
439C11×#103C2311yescharacteristic
440C11×#103C2311yescharacteristic
441C11×#103C2311yescharacteristic
442C11×#103C2311yescharacteristic
443C11×#103C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C4×C8×C11C2311yescharacteristic
447#66899C2311yescharacteristic
448#66899C2311yescharacteristic
449#66899C2311yescharacteristic
450#66899C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453#66885C2311yescharacteristic
454#66885C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465#66882C2311yescharacteristic
466#66880C2311yescharacteristic
467#66880C2311yescharacteristic
468#66879C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470Dic11⋊C8C2311yescharacteristic
471C8×Dic11C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66873C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489#66867C2311yescharacteristic
490#61627—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11—21no—
493C23×D11C2×D411yescharacteristic
494C2×Q8×C11—21no—
495C2×Q8×C11—21no—
496C2×Q8×C11—21no—
497C2×Q8×C11—22no—
498C2×Q8×C11—22no—
499C2×Q8×C11—41no—
500C2×Q8×C11—41no—
501C2×Q8×C11C2411yescharacteristic
502C2×Q8×C11C2411yescharacteristic
503C2×Q8×C11C2411yescharacteristic
504C2×Q8×C11C2411yescharacteristic
505C2×D4×C11C2×D411yescharacteristic
506C22×C4×C11—21no—
507C22×C4×C11—21no—
508C22×C4×C11C2411yescharacteristic
509C22×C4×C11C2411yescharacteristic
510C2×C22⋊D11—21no—
511C2×C22⋊D11—21no—
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11C2×D411yescharacteristic
515C2×C22⋊D11C2×D411yescharacteristic
516C2×C22⋊D11C2×D411yescharacteristic
517C2×C22⋊D11C2×D411yescharacteristic
518C22×Dic11C2×D411yescharacteristic
519#4343—22no—
520#4343—22no—
521#4343—22no—
522#4343—22no—
523#4343—22no—
524#4343—41no—
525#4343—41no—
526#4343—41no—
527#4343—41no—
528#4343—41no—
529#4343—41no—
530#4343—41no—
531#4343—44no—
532#4343—44no—
533#4343—44no—
534Q8×D11—22no—
535Q8×D11—41no—
536Q8×D11—41no—
537Q8×D11—41no—
538Q8×D11—41no—
539Q8×D11—41no—
540Q8×D11—44no—
541#4339—22no—
542#4339—41no—
543#4339—41no—
544#4339—41no—
545#4339—41no—
546#4339—41no—
547#4339—44no—
548#4339—44no—
549C2×D44—21no—
550C2×D44—21no—
551C2×D44—21no—
552C2×D44—21no—
553C2×D44—21no—
554C2×D44—21no—
555C2×D44—21no—
556C2×D44—21no—
557C2×D44—21no—
558C2×D44—21no—
559C2×D44—21no—
560C2×D44—21no—
561C2×D44—22no—
562C2×D44—21no—
563C2×D44—21no—
564C2×D44—41no—
565C2×D44—41no—
566C2×D44—41no—
567C2×D44—44no—
568C2×D44C2×D411yescharacteristic
569C2×D44C2×D411yescharacteristic
570C2×D44C2411yescharacteristic
571C2×D44C2411yescharacteristic
572C2×D44C2411yescharacteristic
573C2×D44C2411yescharacteristic
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—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—21no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—21no—
589C2×C4×D11—21no—
590C2×C4×D11—41no—
591C2×C4×D11—41no—
592C2×C4×D11—44no—
593C2×C4×D11C2×D411yescharacteristic
594C2×C4×D11C2×D411yescharacteristic
595C2×C4×D11C2411yescharacteristic
596C2×C4×D11C2411yescharacteristic
597C2×C4×D11C2411yescharacteristic
598C2×Dic22—21no—
599C2×Dic22—21no—
600C2×Dic22—21no—
601C2×Dic22—21no—
602C2×Dic22C2×D411yescharacteristic
603C2×Dic22C2411yescharacteristic
604C2×Dic22C2411yescharacteristic
605C11×Q16—22no—
606C11×Q16—41no—
607C11×Q16—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⋊C4—21no—
620C11×C4⋊C4—21no—
621C11×C4⋊C4—21no—
622C11×C4⋊C4—21no—
623C11×C4⋊C4C2×D411yescharacteristic
624C11×C4⋊C4C2411yescharacteristic
625C11×C4⋊C4C2411yescharacteristic
626C11×C4⋊C4C2411yescharacteristic
627C11×C4⋊C4C2411yescharacteristic
628C11×C22⋊C4—21no—
629C11×C22⋊C4—21no—
630C11×C22⋊C4—21no—
631C11×C22⋊C4—21no—
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4C2×D411yescharacteristic
635C11×C22⋊C4C2×D411yescharacteristic
636C42×C11—21no—
637C42×C11—21no—
638C42×C11—21no—
639C42×C11—21no—
640C42×C11C2411yescharacteristic
641C22⋊Dic11—21no—
642C22⋊Dic11—21no—
643C22⋊Dic11C2×D411yescharacteristic
644C22⋊Dic11C2×D411yescharacteristic
645#4326—22no—
646#4326—41no—
647#4326—41no—
648#4326—41no—
649#4325—22no—
650#4325—22no—
651#4325—22no—
652#4325—41no—
653#4325—41no—
654#4325—41no—
655#4325—41no—
656#4325—41no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4—21no—
661(C2×D11)⋊C4—21no—
662(C2×D11)⋊C4—21no—
663(C2×D11)⋊C4—21no—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4—21no—
667(C2×D11)⋊C4—21no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671(C2×D11)⋊C4—21no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4—21no—
674(C2×D11)⋊C4—21no—
675(C2×D11)⋊C4—21no—
676(C2×D11)⋊C4—21no—
677(C2×D11)⋊C4—21no—
678(C2×D11)⋊C4—21no—
679(C2×D11)⋊C4—21no—
680(C2×D11)⋊C4—21no—
681(C2×D11)⋊C4—21no—
682(C2×D11)⋊C4—21no—
683(C2×D11)⋊C4—21no—
684(C2×D11)⋊C4—21no—
685(C2×D11)⋊C4C2×D411yescharacteristic
686(C2×D11)⋊C4C2×D411yescharacteristic
687(C2×D11)⋊C4C2×D411yescharacteristic
688(C2×D11)⋊C4C2×D411yescharacteristic
689(C2×D11)⋊C4C2×D411yescharacteristic
690(C2×D11)⋊C4C2×D411yescharacteristic
691C4⋊Dic11—21no—
692C4⋊Dic11—21no—
693C4⋊Dic11—21no—
694C4⋊Dic11—21no—
695C4⋊Dic11C2×D411yescharacteristic
696C4⋊Dic11C2411yescharacteristic
697C4⋊Dic11C2411yescharacteristic
698Dic11⋊C4—21no—
699Dic11⋊C4—21no—
700Dic11⋊C4—21no—
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4C2×D411yescharacteristic
709Dic11⋊C4C2×D411yescharacteristic
710Dic11⋊C4C2×D411yescharacteristic
711Dic11⋊C4C2×D411yescharacteristic
712C4×Dic11—21no—
713C4×Dic11—21no—
714C4×Dic11—21no—
715C4×Dic11—21no—
716C4×Dic11C2411yescharacteristic
717#4318—41no—
718C2×C11⋊C8—41no—
719C2×C11⋊C8C2411yescharacteristic
720C2×C11⋊C8C2411yescharacteristic
721C2×C11⋊C8C2411yescharacteristic
722C2×C11⋊C8C2411yescharacteristic
723Dic44—41no—
724D88—22no—
725D88—22no—
726D88—41no—
727D88—41no—
728#4314—22no—
729#4314—41no—
730#4314—41no—
731#4314—41no—
732#4313—41no—
733C8×D11—41no—
734C8×D11—41no—
735C8×D11—41no—
736#3540—111no—
737#3489—111no—
738#3329—111no—
739#3328D1111yescharacteristic, complemented
740#3321—111no—
741#3319—111no—
742#3313—111no—
743#3311—111no—
744#3303—111no—
745#3302—111no—
746#3285—111no—
747#3282—111no—
748#3275—111no—
749#3273—111no—
750#3270—111no—
751#3269—111no—
752#3267—111no—
753#3266—111no—
754#3225—111no—
755#3225—111no—
756#3201—111no—
757#3198—111no—
758#3196—111no—
759#3190—111no—
760#3125—111no—
761#3124—111no—
762#3011—111no—
763#3010—111no—
764#3005—111no—
765#3002—111no—
766#2976—111no—
767C23×C11C22×D411yescharacteristic
768C23×C11C22×D411yescharacteristic
769C22×D11—21no—
770C22×D11—21no—
771C22×D11—21no—
772C22×D11—21no—
773C22×D11—41no—
774C22×D11—41no—
775C22×D11—41no—
776C22×D11—42no—
777C22×D11—42no—
778C22×D11—81no—
779C22×D11—81no—
780C22×D11—81no—
781C22×D11—81no—
782C22×D11C22×D411yescharacteristic
783C22×D11C22×D411yescharacteristic
784C22×D11C22×D411yescharacteristic
785Q8×C11—21no—
786Q8×C11—21no—
787Q8×C11—21no—
788Q8×C11—21no—
789Q8×C11—21no—
790Q8×C11—21no—
791Q8×C11—21no—
792Q8×C11—42no—
793Q8×C11—42no—
794Q8×C11—81no—
795Q8×C11H(5,𝔽2)12yes—
796D4×C11—41no—
797C2×C4×C11—21no—
798C2×C4×C11—21no—
799C2×C4×C11—21no—
800C2×C4×C11—21no—
801C2×C4×C11—21no—
802C2×C4×C11—21no—
803C2×C4×C11—21no—
804C2×C4×C11—21no—
805C2×C4×C11—21no—
806C2×C4×C11—21no—
807C2×C4×C11—21no—
808C2×C4×C11—21no—
809C2×C4×C11—42no—
810C2×C4×C11—42no—
811C2×C4×C11C22×D411yescharacteristic
812C2×C4×C11C22×D411yescharacteristic
813C2×C4×C11C22×D411yescharacteristic
814C2×C4×C11C22×D411yescharacteristic
815C2×C4×C11C2511yescharacteristic
816C22⋊D11—41no—
817C22⋊D11—41no—
818C22⋊D11—41no—
819C22⋊D11—41no—
820C22⋊D11—42no—
821C22⋊D11—81no—
822C22⋊D11—81no—
823C22⋊D11—81no—
824C2×Dic11—21no—
825C2×Dic11—21no—
826C2×Dic11—21no—
827C2×Dic11—21no—
828C2×Dic11—41no—
829C2×Dic11C22×D411yescharacteristic
830C2×Dic11C22×D411yescharacteristic
831C2×Dic11C22×D411yescharacteristic
832C2×Dic11C22×D411yescharacteristic
833C2×Dic11C22×D411yescharacteristic
834D44—24no—
835D44—21no—
836D44—21no—
837D44—21no—
838D44—21no—
839D44—21no—
840D44—21no—
841D44—21no—
842D44—41no—
843D44—41no—
844D44—42no—
845D44—42no—
846D44—42no—
847D44—42no—
848D44—42no—
849D44—81no—
850D44—81no—
851D44—81no—
852D44—81no—
853D44—81no—
854D44—81no—
855D44—81no—
856D44—81no—
857D44H(5,𝔽2)12yes—
858C4×D11—24no—
859C4×D11—21no—
860C4×D11—21no—
861C4×D11—21no—
862C4×D11—21no—
863C4×D11—21no—
864C4×D11—21no—
865C4×D11—41no—
866C4×D11—41no—
867C4×D11—42no—
868C4×D11—42no—
869C4×D11—42no—
870C4×D11—42no—
871C4×D11—42no—
872C4×D11—42no—
873C4×D11—42no—
874C4×D11—81no—
875C4×D11—81no—
876C4×D11—81no—
877C4×D11—81no—
878C4×D11—81no—
879C4×D11—81no—
880C4×D11—81no—
881C4×D11—81no—
882Dic22—21no—
883Dic22—21no—
884Dic22—21no—
885Dic22—21no—
886Dic22—41no—
887Dic22—42no—
888Dic22—42no—
889Dic22—81no—
890Dic22—81no—
891C8×C11—21no—
892C8×C11—21no—
893C8×C11—21no—
894C8×C11—21no—
895C11⋊C8—21no—
896C11⋊C8—21no—
897C11⋊C8—21no—
898C11⋊C8—21no—
899C2×2−1+4—111no—
900C22×#41—111no—
901C2×#137—111no—
902C2×#137—111no—
903C2×AGL(1,ℤ/8)—111no—
904C2×AGL(1,ℤ/8)—111no—
905C2×#135—111no—
906C2×#135—111no—
907C22×Q16—111no—
908C22×SD16—111no—
909H(3,𝔽4)—221no—
910#560—221no—
911#559—221no—
912#556—111no—
913#556C2×D1111yescharacteristic
914#555—111no—
915#555—111no—
916#551—221no—
917D4×Q8—111no—
918D4×Q8C2×D1111yescharacteristic
919#548—111no—
920#548—111no—
921#548—111no—
922#548—111no—
923#547—111no—
924#547—111no—
925#547—221no—
926#547—221no—
927#546—111no—
928#546—111no—
929#546—111no—
930#546—111no—
931#546—221no—
932#546—221no—
933#542—111no—
934#542—111no—
935#542—221no—
936#542—221no—
937#538—221no—
938#538—221no—
939#537—111no—
940#537—221no—
941#536—111no—
942#536—111no—
943#536—221no—
944#535—111no—
945#525—111no—
946#525—111no—
947#525—111no—
948#525—221no—
949C2×C22⋊Q8—111no—
950C2×C22⋊Q8—221no—
951#520—111no—
952#497—111no—
953#497—111no—
954#495—111no—
955#495—111no—
956#489—111no—
957#489—111no—
958#487—111no—
959#487C2×D1111yescharacteristic, complemented
960#485—111no—
961#485—111no—
962#485—111no—
963#485—111no—
964#485C2×D1111yescharacteristic, complemented
965#485C2×D1111yescharacteristic, complemented
966#484—111no—
967#483—111no—
968#482—111no—
969#482—111no—
970#481—111no—
971#480—111no—
972#477—111no—
973#476—111no—
974#475C2×D1111yescharacteristic, complemented
975#474—111no—
976#470—111no—
977#470C2×D1111yescharacteristic, complemented
978#470C2×D1111yescharacteristic, complemented
979#469—111no—
980#468—111no—
981#468—111no—
982#468—111no—
983#468—111no—
984#467—111no—
985#467—111no—
986#467—111no—
987#466—111no—
988#465—111no—
989#465—111no—
990#465—111no—
991#465—111no—
992#464—111no—
993#464—111no—
994#464—111no—
995#464—111no—
996#463—111no—
997#463—111no—
998#463—111no—
999#463—111no—
1000#462—111no—
1001#462C2×D1111yescharacteristic, complemented
1002#461—111no—
1003#461—111no—
1004#452—111no—
1005#452—111no—
1006#452—111no—
1007#452—111no—
1008#452—111no—
1009#452—111no—
1010#452—111no—
1011#452—111no—
1012#452—111no—
1013#452—111no—
1014#452—111no—
1015#452—111no—
1016#451—111no—
1017#451—111no—
1018#451—111no—
1019#451—111no—
1020#451C2×D1111yescharacteristic, complemented
1021#451C2×D1111yescharacteristic, complemented
1022#450—111no—
1023#450—111no—
1024#449—111no—
1025#449—111no—
1026#449—111no—
1027#449—111no—
1028#449—111no—
1029#449—111no—
1030#449—111no—
1031#449—111no—
1032#448—111no—
1033#448—111no—
1034#448—111no—
1035#448—111no—
1036#448—111no—
1037#448—111no—
1038#447—111no—
1039#447—111no—
1040#442—111no—
1041#441—111no—
1042#440—111no—
1043#440—111no—
1044C4×Q16C2×D1111yescharacteristic, complemented
1045C4×SD16—111no—
1046C4×SD16—111no—
1047C4×D8—111no—
1048#436—111no—
1049#436C2×D1111yescharacteristic
1050#435—111no—
1051#435—111no—
1052#435—111no—
1053#435—111no—
1054C8×D4—111no—
1055C8×D4—111no—
1056#433—111no—
1057#433—111no—
1058#419—111no—
1059#419C2×D1111yescharacteristic, complemented
1060#419C2×D1111yescharacteristic, complemented
1061#418—111no—
1062#416—111no—
1063#416—111no—
1064#416—111no—
1065#416—111no—
1066#408—111no—
1067#408—111no—
1068#407—111no—
1069C2×C22⋊C8—111no—
1070C22×C11—21no—
1071C22×C11—21no—
1072C22×C11—21no—
1073C22×C11—21no—
1074C22×C11—21no—
1075C22×C11—21no—
1076C22×C11C23×D411yescharacteristic
1077C2×D11—21no—
1078C2×D11—21no—
1079C2×D11—21no—
1080C2×D11—21no—
1081C2×D11—21no—
1082C2×D11—21no—
1083C2×D11—22no—
1084C2×D11—21no—
1085C2×D11—21no—
1086C2×D11—21no—
1087C2×D11—41no—
1088C2×D11—41no—
1089C2×D11—41no—
1090C2×D11—41no—
1091C2×D11—41no—
1092C2×D11—41no—
1093C2×D11—41no—
1094C2×D11—41no—
1095C2×D11—41no—
1096C2×D11—41no—
1097C2×D11—41no—
1098C2×D11—82no—
1099C2×D11—84no—
1100C2×D11—162no—
1101C4×C11—21no—
1102C4×C11—21no—
1103C4×C11—21no—
1104C4×C11—21no—
1105C4×C11—22no—
1106C4×C11—41no—
1107C4×C11—41no—
1108C4×C11—41no—
1109C4×C11—41no—
1110C4×C11—41no—
1111C4×C11—41no—
1112C4×C11—41no—
1113C4×C11C2×H(5,𝔽2)11yescharacteristic
1114C4×C11C2×H(5,𝔽2)11yescharacteristic
1115Dic11—21no—
1116Dic11—21no—
1117Dic11—21no—
1118Dic11—21no—
1119Dic11—21no—
1120Dic11—41no—
1121Dic11—41no—
1122Dic11—41no—
1123Dic11—41no—
11242−1+4—442no—
11252−1+4—442no—
1126C2×#41—111no—
1127C2×#41—111no—
1128C2×#41—111no—
1129C2×#41—111no—
1130C2×#41—111no—
1131C2×#41—111no—
1132C2×#41—111no—
1133C2×#41—111no—
1134C2×#41—111no—
1135C2×#41—221no—
1136C2×#41—221no—
1137C2×#41—221no—
1138C2×#41—221no—
1139C2×#41—221no—
1140C2×#41—442no—
1141C2×#41—442no—
1142C22×Q8—111no—
1143C22×Q8—111no—
1144C22×Q8—111no—
1145C22×Q8—221no—
1146C22×Q8C22×D1111yescharacteristic
1147C22×Q8C22×D1111yescharacteristic
1148C22×D4—111no—
1149C22×D4—111no—
1150C22×D4—221no—
1151C23×C4—111no—
1152C23×C4—221no—
1153#137—442no—
1154#137—442no—
1155AGL(1,ℤ/8)—442no—
1156AGL(1,ℤ/8)—442no—
1157#135—442no—
1158#135—442no—
1159C2×Q16—111no—
1160C2×Q16—111no—
1161C2×Q16—111no—
1162C2×Q16—111no—
1163C2×Q16—111no—
1164C2×Q16—442no—
1165C2×Q16C22×D1111yescharacteristic
1166C2×Q16C22×D1111yescharacteristic
1167C2×Q16C22×D1111yescharacteristic
1168C2×SD16—111no—
1169C2×SD16—111no—
1170C2×SD16—111no—
1171C2×SD16—111no—
1172C2×SD16—111no—
1173C2×SD16—111no—
1174C2×SD16—111no—
1175C2×SD16—111no—
1176C2×SD16—111no—
1177C2×SD16—111no—
1178C2×SD16—111no—
1179C2×SD16—111no—
1180C2×SD16—442no—
1181C2×D8—111no—
1182C2×D8—111no—
1183C2×D8—111no—
1184C2×D8—111no—
1185C2×M16—111no—
1186C2×M16—111no—
1187C2×M16C22×D1111yescharacteristic
1188C2×M16C22×D1111yescharacteristic
1189C22×C8—111no—
1190C22×C8—111no—
1191C22×C8—111no—
1192C22×C8—111no—
1193C4⋊Q8—21no—
1194C4⋊Q8—111no—
1195C4⋊Q8—111no—
1196C4⋊Q8—221no—
1197C4⋊Q8—221no—
1198C4⋊Q8C22×D1111yescharacteristic
1199C4⋊Q8C22×D1111yescharacteristic
1200#127—221no—
1201#126—21no—
1202#126—21no—
1203#126—221no—
1204#126—221no—
1205#126—221no—
1206#126—221no—
1207#124—21no—
1208#124—111no—
1209#124—111no—
1210#124—111no—
1211#124—111no—
1212#124—221no—
1213#124—221no—
1214#124—221no—
1215#124—221no—
1216#124—221no—
1217#124—221no—
1218#124—221no—
1219#124—221no—
1220#124—221no—
1221#124—221no—
1222#124—221no—
1223#124—221no—
1224#124—221no—
1225#123—111no—
1226#123—111no—
1227#123—221no—
1228#123—221no—
1229#123—221no—
1230#123—221no—
1231#123—221no—
1232#123—221no—
1233#123—221no—
1234#123—221no—
1235#123—221no—
1236#123—221no—
1237#123—221no—
1238#123—221no—
1239#123—221no—
1240#123—221no—
1241#123—221no—
1242#123—221no—
1243C22⋊Q8—21no—
1244C22⋊Q8—21no—
1245C22⋊Q8—111no—
1246C22⋊Q8—111no—
1247C22⋊Q8—111no—
1248C22⋊Q8—111no—
1249C22⋊Q8—111no—
1250C22⋊Q8—111no—
1251C22⋊Q8—111no—
1252C22⋊Q8—111no—
1253C22⋊Q8—111no—
1254C22⋊Q8—111no—
1255C22⋊Q8—221no—
1256C22⋊Q8—221no—
1257C22⋊Q8—221no—
1258C22⋊Q8—221no—
1259C22⋊Q8—221no—
1260C22⋊Q8—221no—
1261C22⋊Q8—221no—
1262C22⋊Q8—221no—
1263C22⋊Q8—221no—
1264C22⋊Q8—221no—
1265C22⋊Q8—221no—
1266C22⋊Q8—221no—
1267C22⋊Q8—221no—
1268C22⋊Q8C22×D1111yescharacteristic
1269C22⋊Q8C22×D1111yescharacteristic
1270C22⋊Q8C22×D1111yescharacteristic
1271C22⋊Q8C22×D1111yescharacteristic
1272#121—111no—
1273#121—111no—
1274#121—111no—
1275#121—111no—
1276#121—111no—
1277#121—111no—
1278#121—111no—
1279#121—111no—
1280#121—111no—
1281#121—111no—
1282#121—221no—
1283#121—221no—
1284#121—221no—
1285#121—221no—
1286#121—221no—
1287#121—221no—
1288#121—221no—
1289#121—221no—
1290#121—221no—
1291#121—221no—
1292#121—221no—
1293#121—221no—
1294#121—221no—
1295#121—221no—
1296#121—221no—
1297#120—111no—
1298#120—111no—
1299#120—221no—
1300#120—221no—
1301#120—221no—
1302#120—221no—
1303#120—221no—
1304#120—221no—
1305#120—221no—
1306#120—221no—
1307C4×Q8—21no—
1308C4×Q8—111no—
1309C4×Q8—111no—
1310C4×Q8—221no—
1311C4×Q8C22×D1111yescharacteristic
1312C4×Q8C22×D1111yescharacteristic
1313C4×D4—21no—
1314C4×D4—111no—
1315C4×D4—111no—
1316C4×D4—111no—
1317C4×D4—111no—
1318C4×D4—111no—
1319C4×D4—111no—
1320C4×D4—111no—
1321C4×D4—221no—
1322C4×D4—221no—
1323C4×D4—221no—
1324C4×D4—221no—
1325C4×D4—221no—
1326C4×D4—221no—
1327C4×D4—221no—
1328C4×D4—221no—
1329C4×D4—221no—
1330C4×D4—221no—
1331C4×D4—221no—
1332C4×D4C22×D1111yescharacteristic
1333#117—111no—
1334#117—111no—
1335#117—111no—
1336#117—221no—
1337#117—221no—
1338#117—221no—
1339#117C22×D1111yescharacteristic
1340#117C22×D1111yescharacteristic
1341C2×C4⋊C4—111no—
1342C2×C4⋊C4—221no—
1343C2×C4⋊C4—221no—
1344C2×C4⋊C4—221no—
1345C2×C4⋊C4—221no—
1346C2×C22⋊C4—221no—
1347C2×C22⋊C4—221no—
1348C2×C22⋊C4—221no—
1349C2×C22⋊C4—221no—
1350C2×C22⋊C4—221no—
1351#107—111no—
1352#107—111no—
1353#107—111no—
1354#107C22×D1111yescharacteristic
1355#106—111no—
1356#106—111no—
1357#106C22×D1111yescharacteristic
1358#106C22×D1111yescharacteristic
1359C4⋊C8—111no—
1360C4⋊C8—111no—
1361C4⋊C8—111no—
1362C4⋊C8C22×D1111yescharacteristic
1363#103—111no—
1364#103—111no—
1365#103—111no—
1366#103—111no—
1367#103—111no—
1368#103—111no—
1369#103—111no—
1370#103—111no—
1371#103—111no—
1372#103—111no—
1373#103C22×D1111yescharacteristic
1374#103C22×D1111yescharacteristic
1375#103C22×D1111yescharacteristic
1376#103C22×D1111yescharacteristic
1377#103C22×D1111yescharacteristic
1378#103C22×D1111yescharacteristic
1379#103C22×D1111yescharacteristic
1380#103C22×D1111yescharacteristic
1381#103C22×D1111yescharacteristic
1382#103C22×D1111yescharacteristic
1383#102—111no—
1384#102—111no—
1385#102—111no—
1386#102—111no—
1387#102—111no—
1388#102—111no—
1389#102—111no—
1390#102—111no—
1391#102—111no—
1392#102—111no—
1393#102—111no—
1394#102—111no—
1395C22⋊C8—111no—
1396C22⋊C8—111no—
1397C22⋊C8—111no—
1398C22⋊C8—111no—
1399C22⋊C8—111no—
1400C22⋊C8—111no—
1401C22⋊C8—111no—
1402C22⋊C8—111no—
1403C22⋊C8—111no—
1404C22⋊C8—111no—
1405C22⋊C8C22×D1111yescharacteristic
1406C22⋊C8C22×D1111yescharacteristic
1407#97—111no—
1408#97—111no—
1409C4×C8—111no—
1410C4×C8C22×D1111yescharacteristic
1411C2×C11—41no—
1412C2×C11—41no—
1413C2×C11#348411yescharacteristic
1414C2×C11#358411yescharacteristic
1415C2×C11#358611yescharacteristic
1416D11—41no—
1417D11—41no—
1418D11—41no—
1419D11—42no—
1420D11—81no—
1421D11—81no—
1422D11—81no—
1423C24—111no—
1424C24—221no—
1425C24—221no—
1426#41—222no—
1427#41—222no—
1428#41—222no—
1429#41—222no—
1430#41—222no—
1431#41—222no—
1432#41—441no—
1433#41—441no—
1434#41—441no—
1435#41—441no—
1436#41—441no—
1437#41—444no—
1438#41—444no—
1439#41—441no—
1440#41—441no—
1441#41—441no—
1442#41—441no—
1443#41—441no—
1444#41—444no—
1445#41—441no—
1446#41—441no—
1447#41—444no—
1448#41—444no—
1449C2×Q8—21no—
1450C2×Q8—21no—
1451C2×Q8—21no—
1452C2×Q8—22no—
1453C2×Q8—22no—
1454C2×Q8—41no—
1455C2×Q8—41no—
1456C2×Q8—111no—
1457C2×Q8—111no—
1458C2×Q8—111no—
1459C2×Q8—221no—
1460C2×Q8—221no—
1461C2×Q8—221no—
1462C2×Q8—221no—
1463C2×Q8—222no—
1464C2×Q8—441no—
1465C2×Q8—441no—
1466C2×Q8—441no—
1467C2×Q8—444no—
1468C2×Q8—441no—
1469C2×Q8—441no—
1470C2×Q8C23×D1111yescharacteristic
1471C2×Q8C23×D1111yescharacteristic
1472C2×Q8C23×D1111yescharacteristic
1473C2×Q8C23×D1111yescharacteristic
1474C2×D4—111no—
1475C2×D4—111no—
1476C2×D4—111no—
1477C2×D4—111no—
1478C2×D4—111no—
1479C2×D4—111no—
1480C2×D4—111no—
1481C2×D4—111no—
1482C2×D4—111no—
1483C2×D4—111no—
1484C2×D4—222no—
1485C2×D4—221no—
1486C2×D4—221no—
1487C2×D4—221no—
1488C2×D4—221no—
1489C2×D4—221no—
1490C2×D4—221no—
1491C2×D4—221no—
1492C2×D4—221no—
1493C2×D4—221no—
1494C2×D4—221no—
1495C2×D4—221no—
1496C2×D4—221no—
1497C2×D4—221no—
1498C2×D4—221no—
1499C2×D4—221no—
1500C2×D4—221no—
1501C2×D4—221no—
1502C2×D4—221no—
1503C2×D4—441no—
1504C2×D4—441no—
1505C2×D4—441no—
1506C2×D4—444no—
1507C2×D4D4×D1111yescharacteristic
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—111no—
1511C22×C4—111no—
1512C22×C4—111no—
1513C22×C4—111no—
1514C22×C4—111no—
1515C22×C4—111no—
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—221no—
1525C22×C4—221no—
1526C22×C4—221no—
1527C22×C4—221no—
1528C22×C4—221no—
1529C22×C4—221no—
1530C22×C4—221no—
1531C22×C4—221no—
1532C22×C4—441no—
1533C22×C4—441no—
1534C22×C4—444no—
1535C22×C4C23×D1111yescharacteristic
1536C22×C4C23×D1111yescharacteristic
1537Q16—22no—
1538Q16—41no—
1539Q16—41no—
1540Q16—222no—
1541Q16—441no—
1542Q16—441no—
1543Q16—441no—
1544Q16—441no—
1545SD16—222no—
1546SD16—222no—
1547SD16—222no—
1548SD16—222no—
1549SD16—441no—
1550SD16—441no—
1551SD16—441no—
1552SD16—441no—
1553SD16—441no—
1554SD16—441no—
1555SD16—441no—
1556SD16—441no—
1557D8—222no—
1558D8—222no—
1559D8—441no—
1560D8—441no—
1561M16—41no—
1562M16—41no—
1563M16—441no—
1564M16—441no—
1565C2×C8—111no—
1566C2×C8—111no—
1567C2×C8—111no—
1568C2×C8—111no—
1569C2×C8—441no—
1570C2×C8—441no—
1571C2×C8—441no—
1572C2×C8—441no—
1573C2×C8C23×D1111yescharacteristic
1574C2×C8C23×D1111yescharacteristic
1575C2×C8C23×D1111yescharacteristic
1576C2×C8C23×D1111yescharacteristic
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—111no—
1587C4⋊C4—111no—
1588C4⋊C4—111no—
1589C4⋊C4—111no—
1590C4⋊C4—111no—
1591C4⋊C4—111no—
1592C4⋊C4—111no—
1593C4⋊C4—221no—
1594C4⋊C4—221no—
1595C4⋊C4—221no—
1596C4⋊C4—221no—
1597C4⋊C4—221no—
1598C4⋊C4—221no—
1599C4⋊C4—221no—
1600C4⋊C4—221no—
1601C4⋊C4—221no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4—221no—
1605C4⋊C4—221no—
1606C4⋊C4—221no—
1607C4⋊C4D4×D1111yescharacteristic
1608C4⋊C4C23×D1111yescharacteristic
1609C4⋊C4C23×D1111yescharacteristic
1610C4⋊C4C23×D1111yescharacteristic
1611C4⋊C4C23×D1111yescharacteristic
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—111no—
1619C22⋊C4—111no—
1620C22⋊C4—111no—
1621C22⋊C4—111no—
1622C22⋊C4—111no—
1623C22⋊C4—111no—
1624C22⋊C4—111no—
1625C22⋊C4—111no—
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⋊C4—221no—
1637C22⋊C4—221no—
1638C22⋊C4—221no—
1639C22⋊C4—221no—
1640C22⋊C4—221no—
1641C22⋊C4—221no—
1642C22⋊C4—221no—
1643C22⋊C4—221no—
1644C22⋊C4—221no—
1645C22⋊C4—221no—
1646C22⋊C4—221no—
1647C22⋊C4—221no—
1648C22⋊C4—221no—
1649C22⋊C4—221no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4D4×D1111yescharacteristic
1657C22⋊C4D4×D1111yescharacteristic
1658C42—21no—
1659C42—21no—
1660C42—21no—
1661C42—21no—
1662C42—111no—
1663C42—221no—
1664C42—221no—
1665C42—221no—
1666C42—221no—
1667C42C23×D1111yescharacteristic
1668C11#6162711yescharacteristic, complemented, Sylow
1669C23—111no—
1670C23—111no—
1671C23—111no—
1672C23—221no—
1673C23—221no—
1674C23—221no—
1675C23—221no—
1676C23—441no—
1677C23—441no—
1678C23—441no—
1679C23—442no—
1680C23—442no—
1681C23—881no—
1682C23—881no—
1683C23—881no—
1684C23—881no—
1685C23C2×D4×D1111yescharacteristic
1686C23C2×D4×D1111yescharacteristic
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—42no—
1695Q8—42no—
1696Q8—81no—
1697Q8—221no—
1698Q8—221no—
1699Q8—221no—
1700Q8—221no—
1701Q8—441no—
1702Q8—442no—
1703Q8—442no—
1704Q8—881no—
1705Q8—881no—
1706Q8#6704212yes—
1707D4—41no—
1708D4—112no—
1709D4—224no—
1710D4—221no—
1711D4—221no—
1712D4—221no—
1713D4—221no—
1714D4—221no—
1715D4—221no—
1716D4—221no—
1717D4—441no—
1718D4—441no—
1719D4—442no—
1720D4—442no—
1721D4—442no—
1722D4—442no—
1723D4—442no—
1724D4—441no—
1725D4—441no—
1726D4—441no—
1727D4—441no—
1728D4—442no—
1729D4—881no—
1730D4—881no—
1731D4—881no—
1732D4—881no—
1733D4—881no—
1734D4—881no—
1735D4—881no—
1736D4—881no—
1737D4—881no—
1738D4—881no—
1739D4—881no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—42no—
1753C2×C4—42no—
1754C2×C4—111no—
1755C2×C4—111no—
1756C2×C4—111no—
1757C2×C4—111no—
1758C2×C4—111no—
1759C2×C4—224no—
1760C2×C4—221no—
1761C2×C4—221no—
1762C2×C4—221no—
1763C2×C4—221no—
1764C2×C4—221no—
1765C2×C4—221no—
1766C2×C4—221no—
1767C2×C4—221no—
1768C2×C4—221no—
1769C2×C4—221no—
1770C2×C4—441no—
1771C2×C4—441no—
1772C2×C4—442no—
1773C2×C4—442no—
1774C2×C4—442no—
1775C2×C4—442no—
1776C2×C4—442no—
1777C2×C4—442no—
1778C2×C4—442no—
1779C2×C4—441no—
1780C2×C4—881no—
1781C2×C4—881no—
1782C2×C4—881no—
1783C2×C4—881no—
1784C2×C4—881no—
1785C2×C4—881no—
1786C2×C4—881no—
1787C2×C4—881no—
1788C2×C4C2×D4×D1111yescharacteristic
1789C2×C4C2×D4×D1111yescharacteristic
1790C2×C4C2×D4×D1111yescharacteristic
1791C2×C4C2×D4×D1111yescharacteristic
1792C2×C4C24×D1111yescharacteristic
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—221no—
1798C8—221no—
1799C8—221no—
1800C8—221no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—221no—
1808C22—221no—
1809C22—221no—
1810C22—222no—
1811C22—221no—
1812C22—221no—
1813C22—221no—
1814C22—221no—
1815C22—221no—
1816C22—221no—
1817C22—441no—
1818C22—441no—
1819C22—441no—
1820C22—441no—
1821C22—441no—
1822C22—441no—
1823C22—441no—
1824C22—441no—
1825C22—441no—
1826C22—441no—
1827C22—441no—
1828C22—882no—
1829C22—884no—
1830C22—1762no—
1831C22C22×D4×D1111yescharacteristic
1832C4—21no—
1833C4—21no—
1834C4—21no—
1835C4—22no—
1836C4—21no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—221no—
1845C4—221no—
1846C4—221no—
1847C4—221no—
1848C4—221no—
1849C4—441no—
1850C4—441no—
1851C4—441no—
1852C4—441no—
1853C4C2×#6704211yescharacteristic
1854C4D11×H(5,𝔽2)11yescharacteristic
1855C2—41no—
1856C2—41no—
1857C2—441no—
1858C2—441no—
1859C2—441no—
1860C2—442no—
1861C2—881no—
1862C2—881no—
1863C2—881no—
1864C2#1308224611yescharacteristic
1865C2#1308338611yescharacteristic
1866C2#1308339911yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3328C2
socleC22×C11C23×D4
hypercenter#3328D11
hypocenterC11#61627
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3328

Complements

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

NH ≅ G/Ntype
1. #13082892C2semidirect
2. #13082293C2semidirect
3. #13080906C2semidirect
4. #13080799C2semidirect
5. #13080775C2semidirect
6. #13080683C2semidirect
7. #13080646C2semidirect
8. #13080543C2semidirect
9. #13080531C2semidirect
10. #13080358C2semidirect
11. #13080316C2semidirect
12. #13080244C2semidirect
13. #13080228C2semidirect
14. #13080189C2semidirect
15. #13080166C2semidirect
16. #13080148C2semidirect
17. #13080127C2semidirect
18. #13079732C2semidirect
19. #13079728C2semidirect
20. #13079499C2semidirect
21. #13079474C2semidirect
22. #13079447C2semidirect
23. #13079401C2semidirect
24. #13078900C2semidirect
25. #13078884C2semidirect
26. #13077906C2semidirect
27. #13077903C2semidirect
28. #13077862C2semidirect
29. #13077839C2semidirect
30. #13077660C2semidirect
31. C11×#3328C2semidirect
33. C22×#4343C22semidirect
37. Q8×C22⋊D11C22semidirect
39. C22×#4325C22semidirect
42. C2×#66971C22semidirect
43. C2×Q16×D11C22semidirect
45. C2×#66961C22semidirect
46. #10623265C22semidirect
47. #10623264C22semidirect
49. #10623257C22semidirect
51. #10623255C22semidirect
62. #10623161C22semidirect
63. #10623161C22semidirect
66. #10623159C22semidirect
69. D11×C22⋊Q8C22semidirect
72. #10623113C22semidirect
73. #10623107C22semidirect
74. #10623107C22semidirect
75. #10623105C22semidirect
81. #10623064C22semidirect
83. #10623056C22semidirect
85. C11×#487C22semidirect
86. C11×#485C22semidirect
87. C11×#485C22semidirect
88. C11×#475C22semidirect
89. C11×#470C22semidirect
90. C11×#470C22semidirect
91. C11×#462C22semidirect
92. C11×#451C22semidirect
93. C11×#451C22semidirect
94. C4×C11×Q16C22semidirect
96. C11×#419C22semidirect
97. C11×#419C22semidirect
98. #10622841C22semidirect
100. #10622804C22semidirect
101. #10622803C22semidirect
102. #10622800C22semidirect
103. #10622800C22semidirect
104. #10622800C22semidirect
105. #10622799C22semidirect
106. #10622799C22semidirect
107. #10622798C22semidirect
109. #10622747C22semidirect
110. #10622742C22semidirect
111. #10622741C22semidirect
112. #10622740C22semidirect
113. #10622739C22semidirect
114. #10622702C22semidirect
115. #10622699C22semidirect
116. #10622697C22semidirect
117. #10622696C22semidirect
118. #10622665C22semidirect
119. #10622664C22semidirect
121. #10622661C22semidirect
123. #10622660C22semidirect
124. #10622659C22semidirect
125. #10622659C22semidirect
126. #10622641C22semidirect
127. #10622641C22semidirect
128. #10622639C22semidirect
129. #10622639C22semidirect
131. #10622616C22semidirect
132. #10622615C22semidirect
133. #10622614C22semidirect
134. #10622609C22semidirect
135. #10622503C22semidirect
136. #10622500C22semidirect
137. #10622496C22semidirect
138. #10622495C22semidirect
139. #10622482C22semidirect
140. #10622480C22semidirect
141. #10622479C22semidirect
142. #10622478C22semidirect
143. #10622477C22semidirect
144. #10622476C22semidirect
145. #10622475C22semidirect
146. #10622465C22semidirect
147. #10622457C22semidirect
148. #10622457C22semidirect
149. #10622453C22semidirect
150. #10622449C22semidirect
151. #10622432C22semidirect
152. #10622432C22semidirect
153. #10622431C22semidirect
154. #10622427C22semidirect
155. #10622427C22semidirect
156. #10622426C22semidirect
157. #10622425C22semidirect
164. #10622424C22semidirect
165. #10622424C22semidirect
166. #10622423C22semidirect
167. #10622423C22semidirect
168. #10622423C22semidirect
169. #10622423C22semidirect
170. #10622423C22semidirect
171. #10622422C22semidirect
172. #10622421C22semidirect
173. #10622420C22semidirect
174. #10622420C22semidirect
175. #10622419C22semidirect
176. #10622419C22semidirect
177. #10622419C22semidirect
178. #10622419C22semidirect
179. #10622419C22semidirect
180. #10622417C22semidirect
181. #10622417C22semidirect
182. #10622417C22semidirect
183. #10622415C22semidirect
184. #10622411C22semidirect
185. #10622408C22semidirect
186. #10622407C22semidirect
187. #10622406C22semidirect
188. #10622405C22semidirect
189. #10622402C22semidirect
190. #10622401C22semidirect
192. #10622346C22semidirect
194. #10622345C22semidirect
195. #10622341C22semidirect
196. #10622340C22semidirect
197. (C22⋊D11)⋊C8C22semidirect
198. D11×C22⋊C8C22semidirect
199. #10622309C22semidirect
200. C4×D88C22semidirect
201. #10622303C22semidirect
202. C8×D44C22semidirect
739. #3328D11semidirect
959. #487C2×D11semidirect
964. #485C2×D11semidirect
965. #485C2×D11semidirect
974. #475C2×D11semidirect
977. #470C2×D11semidirect
978. #470C2×D11semidirect
1001. #462C2×D11semidirect
1020. #451C2×D11semidirect
1021. #451C2×D11semidirect
1044. C4×Q16C2×D11semidirect
1059. #419C2×D11semidirect
1060. #419C2×D11semidirect
1668. C11#61627semidirect

Maximal subgroups

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

subgroupindex
#130828922
#130822932
#130809062
#130807992
#130807752
#130806832
#130806462
#130805432
#130805312
#130803582
#130803162
#130802442
#130802282
#130801892
#130801662
#130801482
#130801272
#130797322
#130797282
#130794992
#130794742
#130794472
#130794012
#130789002
#130788842
#130779062
#130779032
#130778622
#130778392
#130776602
C11×#33282
#6162711