Finite Group Databasebeta

← #25975586

Subgroups — #25975586

Order 11008.

1764 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148346C211yesmaximal, characteristic
2#19148340C211yesmaximal, characteristic
3#19147131C211yesmaximal, characteristic, complemented
4#19147127C211yesmaximal, characteristic, complemented
5#19147121C211yesmaximal, characteristic, complemented
6#19147055C211yesmaximal, characteristic, complemented
7#19147051C211yesmaximal, characteristic, complemented
8#19147049C211yesmaximal, characteristic, complemented
9#19147045C211yesmaximal, characteristic, complemented
10#19147021C211yesmaximal, characteristic, complemented
11#19147020C211yesmaximal, characteristic, complemented
12#19146986C211yesmaximal, characteristic, complemented
13#19146982C211yesmaximal, characteristic, complemented
14#19146960C211yesmaximal, characteristic, complemented
15#19146957C211yesmaximal, characteristic, complemented
16#19146956C211yesmaximal, characteristic, complemented
17#19146956C211yesmaximal, characteristic, complemented
18#19145130C211yesmaximal, characteristic, complemented
19#19144563C211yesmaximal, characteristic, complemented
20#19144559C211yesmaximal, characteristic, complemented
21#19144542C211yesmaximal, characteristic, complemented
22#19144542C211yesmaximal, characteristic, complemented
23#19144436C211yesmaximal, characteristic, complemented
24#19144432C211yesmaximal, characteristic, complemented
25#19144248C211yesmaximal, characteristic, complemented
26#467×D43C211yesmaximal, characteristic, complemented
27#19143460C211yesmaximal, characteristic, complemented
28#19143286C211yesmaximal, characteristic
29#19143194C211yesmaximal, characteristic, complemented
30#427×D43C211yesmaximal, characteristic, complemented
31C43×#3349C211yesmaximal, characteristic, complemented
32C2×Q16×D43C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C22×C8×D43C2211yescharacteristic
35#14583620C2211yescharacteristic
36#14583619C2211yescharacteristic
37#14583617C2211yescharacteristic
38#14583610C2211yescharacteristic
39#14583609C2211yescharacteristic
40#14583607C2211yescharacteristic
41#14583604C2211yescharacteristic
42#14583590—21no—
43#14583590C2211yescharacteristic
44#14583589C2211yescharacteristic
45#14583588—21no—
46#14583588C2211yescharacteristic
47#14583588C2211yescharacteristic
48#14583587C2211yescharacteristic
49#14583585—21no—
50#14583583C2211yescharacteristic
51#14583583C2211yescharacteristic
52#14583581—21no—
53#14583579—21no—
54#14583577—21no—
55#14583574—21no—
56#14583574—21no—
57#14583529C2211yescharacteristic
58#14583526C2211yescharacteristic
59#14583517—21no—
60#14583513—21no—
61#14583506—21no—
62#14583506—21no—
63#14583472C2211yescharacteristic
64#14583472C2211yescharacteristic
65#14583455—21no—
66#14583453—21no—
67#14583432—21no—
68#14583427—21no—
69#14583408C2211yescharacteristic
70C22⋊Q8×D43C2211yescharacteristic
71C22⋊Q8×D43C2211yescharacteristic
72#14583380C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583375C2211yescharacteristic
75#14583375C2211yescharacteristic
76#117×D43C2211yescharacteristic
77#117×D43C2211yescharacteristic
78#14583308C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583306C2211yescharacteristic, complemented
81#14583303C2211yescharacteristic, complemented
82#14583302C2211yescharacteristic, complemented
83#14583299C2211yescharacteristic, complemented
84#14583298C2211yescharacteristic, complemented
85#14583242C2211yescharacteristic, complemented
86#14583242C2211yescharacteristic, complemented
87#14583241C2211yescharacteristic
88#14583241C2211yescharacteristic
89#14583241C2211yescharacteristic, complemented
90#14583240C2211yescharacteristic
91#14583240C2211yescharacteristic
92#14583240C2211yescharacteristic, complemented
93#14583239C2211yescharacteristic, complemented
94#14583239C2211yescharacteristic, complemented
95#14583237C2211yescharacteristic
96#14583237C2211yescharacteristic
97#14583237C2211yescharacteristic, complemented
98#14583236C2211yescharacteristic
99#14583236C2211yescharacteristic
100#14583236C2211yescharacteristic, complemented
101#14583235C2211yescharacteristic, complemented
102#14583233C2211yescharacteristic
103#14583233C2211yescharacteristic
104#14583233C2211yescharacteristic, complemented
105#14583231C2211yescharacteristic
106#14583231C2211yescharacteristic
107#14583231C2211yescharacteristic, complemented
108#14583229C2211yescharacteristic, complemented
109#14583228C2211yescharacteristic
110#14583228C2211yescharacteristic
111#14583228C2211yescharacteristic, complemented
112#14583227C2211yescharacteristic, complemented
113#14583208C2211yescharacteristic, complemented
114#14583208C2211yescharacteristic, complemented
115#14583207C2211yescharacteristic, complemented
116#14583206C2211yescharacteristic, complemented
117#14583205C2211yescharacteristic, complemented
118#14583205C2211yescharacteristic, complemented
119#14583203C2211yescharacteristic, complemented
120#14583195C2211yescharacteristic, complemented
121#14583193C2211yescharacteristic, complemented
122#14583192C2211yescharacteristic, complemented
123#14583184C2211yescharacteristic, complemented
124#14583183C2211yescharacteristic, complemented
125#14583182C2211yescharacteristic, complemented
126#14583181C2211yescharacteristic, complemented
127#14583158C2211yescharacteristic, complemented
128#14583157C2211yescharacteristic, complemented
129#14583154C2211yescharacteristic, complemented
130#14583141C2211yescharacteristic
131#14583140C2211yescharacteristic
132#14583139C2211yescharacteristic
133#14583139C2211yescharacteristic
134#14583139C2211yescharacteristic, complemented
135#14583139C2211yescharacteristic, complemented
136#14583138C2211yescharacteristic
137#14583138C2211yescharacteristic
138#14583138C2211yescharacteristic, complemented
139#14583138C2211yescharacteristic, complemented
140#14583137C2211yescharacteristic
141#14583007C2211yescharacteristic, complemented
142#14583006C2211yescharacteristic, complemented
143#14583005C2211yescharacteristic, complemented
144C4×#10621885C2211yescharacteristic, complemented
145C4×#10621885C2211yescharacteristic, complemented
146#14582991C2211yescharacteristic, complemented
147#14582991C2211yescharacteristic, complemented
148#14582972C2211yescharacteristic
149#14582970C2211yescharacteristic
150#14582968C2211yescharacteristic
151D4×C43⋊C8C2211yescharacteristic
152#14582964C2211yescharacteristic
153(C22⋊D43)⋊C8C2211yescharacteristic
154(C22⋊D43)⋊C8C2211yescharacteristic
155#14582941C2211yescharacteristic, complemented
156#14582940C2211yescharacteristic
157#14582940C2211yescharacteristic
158#14582940C2211yescharacteristic, complemented
159#14582938C2211yescharacteristic
160#14582938C2211yescharacteristic
161#14582938C2211yescharacteristic, complemented
162#14582937C2211yescharacteristic
163#14582936C2211yescharacteristic
164#14582936C2211yescharacteristic
165#14582935C2211yescharacteristic
166#14582935C2211yescharacteristic
167#14582935C2211yescharacteristic, complemented
168#14582934C2211yescharacteristic
169#14582934C2211yescharacteristic
170#14582934C2211yescharacteristic, complemented
171C2×#13063258C2211yescharacteristic, complemented
172#107×D43C2211yescharacteristic
173#107×D43C2211yescharacteristic
174#107×D43C2211yescharacteristic
175#107×D43C2211yescharacteristic, complemented
176#106×D43C2211yescharacteristic
177#106×D43C2211yescharacteristic
178#14582924C2211yescharacteristic
179#14582906C2211yescharacteristic
180#14582906C2211yescharacteristic
181#14582906C2211yescharacteristic
182#14582906C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#103×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic
187#14582856C2211yescharacteristic
188C43×#556C2211yescharacteristic
189C43×#552C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic
192C43×#485C2211yescharacteristic
193C43×#485C2211yescharacteristic, complemented
194C43×#484C2211yescharacteristic, complemented
195C43×#479C2211yescharacteristic, complemented
196C43×#477C2211yescharacteristic, complemented
197C43×#470C2211yescharacteristic, complemented
198C43×#467C2211yescharacteristic
199C43×#441C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic
201C43×#428C2211yescharacteristic, complemented
202C43×#427C2211yescharacteristic
203C2×#10621898C2311yescharacteristic
204C2×Q8×D43C2311yescharacteristic
205C2×Q8×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C2×Dic172C2311yescharacteristic
208C2×#10621885C2311yescharacteristic
209C2×#10621885C2311yescharacteristic
210Q16×D43—24no—
211#13063333—24no—
212C2×#10621872C2311yescharacteristic
213C2×#10621872C2311yescharacteristic
214C2×#10621872C2311yescharacteristic
215C22×C43⋊C8C2311yescharacteristic
216C22×C43⋊C8C2311yescharacteristic
217C2×C8×D43—24no—
218C2×C8×D43C2311yescharacteristic
219C2×C8×D43C2311yescharacteristic
220C2×C8×D43C2311yescharacteristic
221C2×C8×D43C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223#13063325C2311yescharacteristic
224#13063324—21no—
225#13063324—21no—
226#13063324—21no—
227#13063324C2311yescharacteristic
228#13063324C2311yescharacteristic
229#13063323—21no—
230#13063320—21no—
231#13063320—21no—
232#13063319—21no—
233#13063319—21no—
234#13063318—21no—
235#13063318—21no—
236#13063318—21no—
237#13063318—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063317—21no—
244#13063317—21no—
245#13063317—21no—
246#13063317C2311yescharacteristic
247#13063316—21no—
248#13063316—21no—
249#13063316C2311yescharacteristic
250#13063316C2311yescharacteristic
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063312—21no—
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063310—21no—
265#13063310—21no—
266#13063310—21no—
267#13063310—21no—
268#13063310D411yescharacteristic
269#13063307—21no—
270#13063307—21no—
271#13063307—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063307D411yescharacteristic
276#13063306—21no—
277#13063305—21no—
278#13063305—21no—
279#13063305C2311yescharacteristic
280#13063305C2311yescharacteristic
281#13063305C2311yescharacteristic
282#13063305C2311yescharacteristic
283#13063304—21no—
284#13063304C2311yescharacteristic
285#13063304C2311yescharacteristic
286#13063304C2311yescharacteristic
287#13063304C2311yescharacteristic
288#13063303—21no—
289#13063303—21no—
290#13063303—21no—
291#13063303—21no—
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063303D411yescharacteristic
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302D411yescharacteristic
300#13063301—21no—
301#13063301—21no—
302#13063301—21no—
303#13063301C2311yescharacteristic
304#13063301C2311yescharacteristic
305#13063301C2311yescharacteristic
306#13063301C2311yescharacteristic
307#13063298D411yescharacteristic
308#13063297D411yescharacteristic
309#13063295D411yescharacteristic
310#13063293D411yescharacteristic
311Q8×Dic43C2311yescharacteristic
312Q8×Dic43C2311yescharacteristic
313C4×Dic86—21no—
314C4×Dic86—21no—
315C4×Dic86—21no—
316C4×Dic86—21no—
317C4×Dic86C2311yescharacteristic
318C4×Dic86C2311yescharacteristic
319#13063290—21no—
320#13063290—21no—
321#13063290—21no—
322#13063290—21no—
323#13063290—21no—
324#13063290C2311yescharacteristic
325#13063290C2311yescharacteristic
326C4×D172—21no—
327C4×D172—21no—
328C4×D172C2311yescharacteristic
329#13063287—21no—
330#13063287—21no—
331C4×C22⋊D43—21no—
332C4×C22⋊D43—21no—
333C4×C22⋊D43—21no—
334C4×C22⋊D43C2311yescharacteristic
335C4×C22⋊D43C2311yescharacteristic
336(C22⋊D43)⋊C4—21no—
337(C22⋊D43)⋊C4—21no—
338(C22⋊D43)⋊C4—21no—
339#13063284C2311yescharacteristic
340#13063284C2311yescharacteristic
341#13063284C2311yescharacteristic
342#13063283—21no—
343#13063283—21no—
344#13063283—21no—
345#13063283—21no—
346#13063283—21no—
347#13063283C2311yescharacteristic
348#13063283C2311yescharacteristic
349#13063283C2311yescharacteristic
350#13063283C2311yescharacteristic
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063282—21no—
354#13063282—21no—
355#13063282—21no—
356#13063282—21no—
357#13063282—21no—
358#13063282—21no—
359#13063282—21no—
360#13063282C2311yescharacteristic
361#13063281—21no—
362#13063281—21no—
363#13063281—21no—
364C2×C4⋊Dic43C2311yescharacteristic
365C4⋊C4×D43—21no—
366C4⋊C4×D43—21no—
367C4⋊C4×D43C2311yescharacteristic
368C4⋊C4×D43C2311yescharacteristic
369C4⋊C4×D43C2311yescharacteristic
370C4⋊C4×D43C2311yescharacteristic
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C4⋊C4×D43C2311yescharacteristic
375C22⋊C4×D43—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C42×D43—21no—
380C42×D43—21no—
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063256C2311yescharacteristic
406#13063256C2311yescharacteristic
407#13063256C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063250C2311yescharacteristic
416#13063250C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063249C2311yescharacteristic
420#13063249C2311yescharacteristic
421#13063249C2311yescharacteristic
422#13063249C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063248C2311yescharacteristic
426#13063248C2311yescharacteristic
427#13063248C2311yescharacteristic
428#13063248C2311yescharacteristic
429C22⋊(C43⋊C8)C2311yescharacteristic
430C22⋊(C43⋊C8)C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432(C2×D43)⋊C8C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435#13063235C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#126×C43—21no—
443#126×C43—21no—
444#126×C43—21no—
445#125×C43—21no—
446#125×C43C2311yescharacteristic
447#124×C43—21no—
448#123×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450C22⋊Q8×C43C2311yescharacteristic
451C22⋊Q8×C43C2311yescharacteristic
452C22⋊Q8×C43C2311yescharacteristic
453C4×Q8×C43—21no—
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C23×D43C2×D411yescharacteristic
482C2×Q8×C43—21no—
483C2×Q8×C43C2411yescharacteristic
484C2×Q8×C43C2411yescharacteristic
485C2×D4×C43C2×D411yescharacteristic
486C22×C4×C43—21no—
487C22×C4×C43C2411yescharacteristic
488C22×C4×C43C2411yescharacteristic
489C2×C22⋊D43C2×D411yescharacteristic
490C2×C22⋊D43C2×D411yescharacteristic
491C2×C22⋊D43C2×D411yescharacteristic
492C2×C22⋊D43C2×D411yescharacteristic
493C22×Dic43—21no—
494C22×Dic43C2×D411yescharacteristic
495Q8×D43—22no—
496Q8×D43—22no—
497Q8×D43—22no—
498Q8×D43—22no—
499#10621898—22no—
500#10621898—22no—
501C2×D172C2×D411yescharacteristic
502C2×D172C2×D411yescharacteristic
503C2×C4×D43—22no—
504C2×C4×D43—22no—
505C2×C4×D43—21no—
506C2×C4×D43—21no—
507C2×C4×D43—21no—
508C2×C4×D43—21no—
509C2×C4×D43—21no—
510C2×C4×D43—21no—
511C2×C4×D43—21no—
512C2×C4×D43—21no—
513C2×C4×D43—21no—
514C2×C4×D43—21no—
515C2×C4×D43C2×D411yescharacteristic
516C2×C4×D43C2×D411yescharacteristic
517C2×C4×D43C2411yescharacteristic
518C2×C4×D43C2411yescharacteristic
519C2×C4×D43C2411yescharacteristic
520C2×Dic86—21no—
521C2×Dic86—21no—
522C2×Dic86—21no—
523C2×Dic86—21no—
524C2×Dic86—21no—
525C2×Dic86C2×D411yescharacteristic
526C2×Dic86C2411yescharacteristic
527C2×Dic86C2411yescharacteristic
528Q16×C43—22no—
529M16×C43—22no—
530C2×C8×C43—22no—
531C2×C8×C43C2411yescharacteristic
532C2×C8×C43C2411yescharacteristic
533C2×C8×C43C2411yescharacteristic
534C2×C8×C43C2411yescharacteristic
535C4⋊C4×C43—21no—
536C4⋊C4×C43—21no—
537C4⋊C4×C43—21no—
538C4⋊C4×C43—21no—
539C4⋊C4×C43—21no—
540C4⋊C4×C43—21no—
541C4⋊C4×C43—21no—
542C4⋊C4×C43—21no—
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
545C4⋊C4×C43C2×D411yescharacteristic
546C4⋊C4×C43C2411yescharacteristic
547C4⋊C4×C43C2411yescharacteristic
548C4⋊C4×C43C2411yescharacteristic
549C4⋊C4×C43C2411yescharacteristic
550C4⋊C4×C43C2411yescharacteristic
551C4⋊C4×C43C2411yescharacteristic
552C22⋊C4×C43—21no—
553C22⋊C4×C43—21no—
554C22⋊C4×C43—21no—
555C22⋊C4×C43—21no—
556C22⋊C4×C43—21no—
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43C2×D411yescharacteristic
560C22⋊C4×C43C2×D411yescharacteristic
561C42×C43—21no—
562C42×C43—21no—
563C42×C43—21no—
564C42×C43—21no—
565C42×C43—21no—
566C42×C43C2411yescharacteristic
567C22⋊Dic43—21no—
568C22⋊Dic43—21no—
569C22⋊Dic43—21no—
570C22⋊Dic43—21no—
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43C2×D411yescharacteristic
575C22⋊Dic43C2×D411yescharacteristic
576#10621885—22no—
577#10621885—22no—
578(C2×D43)⋊C4—21no—
579(C2×D43)⋊C4—21no—
580(C2×D43)⋊C4—21no—
581(C2×D43)⋊C4—21no—
582(C2×D43)⋊C4—21no—
583(C2×D43)⋊C4—21no—
584(C2×D43)⋊C4—21no—
585(C2×D43)⋊C4—21no—
586(C2×D43)⋊C4—21no—
587(C2×D43)⋊C4—21no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4C2×D411yescharacteristic
593(C2×D43)⋊C4C2×D411yescharacteristic
594(C2×D43)⋊C4C2×D411yescharacteristic
595(C2×D43)⋊C4C2×D411yescharacteristic
596(C2×D43)⋊C4C2×D411yescharacteristic
597(C2×D43)⋊C4C2×D411yescharacteristic
598C4⋊Dic43—21no—
599C4⋊Dic43—21no—
600C4⋊Dic43—21no—
601C4⋊Dic43—21no—
602C4⋊Dic43—21no—
603C4⋊Dic43—21no—
604C4⋊Dic43—21no—
605C4⋊Dic43—21no—
606C4⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43C2×D411yescharacteristic
609C4⋊Dic43C2411yescharacteristic
610C4⋊Dic43C2411yescharacteristic
611C4⋊Dic43C2411yescharacteristic
612C4⋊Dic43C2411yescharacteristic
613C4⋊Dic43C2411yescharacteristic
614C4⋊Dic43C2411yescharacteristic
615Dic43⋊C4—21no—
616Dic43⋊C4—21no—
617Dic43⋊C4—21no—
618Dic43⋊C4—21no—
619Dic43⋊C4—21no—
620Dic43⋊C4—21no—
621Dic43⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4C2×D411yescharacteristic
642Dic43⋊C4C2×D411yescharacteristic
643Dic43⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
645C4×Dic43—21no—
646C4×Dic43—21no—
647C4×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43C2411yescharacteristic
661C2×C43⋊C8—22no—
662C2×C43⋊C8—22no—
663C2×C43⋊C8C2411yescharacteristic
664C2×C43⋊C8C2411yescharacteristic
665C2×C43⋊C8C2411yescharacteristic
666C2×C43⋊C8C2411yescharacteristic
667Dic172—22no—
668#10621872—22no—
669#10621872—22no—
670#10621872—22no—
671C8×D43—22no—
672C8×D43—22no—
673C8×D43—22no—
674C8×D43—22no—
675C8×D43#4114yes—
676C23×C43C22×D411yescharacteristic
677C23×C43C22×D411yescharacteristic
678C22×D43—22no—
679C22×D43—22no—
680C22×D43—41no—
681C22×D43C22×D411yescharacteristic
682C22×D43C22×D411yescharacteristic
683C22×D43C22×D411yescharacteristic
684Q8×C43—21no—
685Q8×C43—21no—
686Q8×C43—21no—
687Q8×C43—21no—
688Q8×C43—81no—
689D4×C43—41no—
690C2×C4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—81no—
703C2×C4×C43C22×D411yescharacteristic
704C2×C4×C43C22×D411yescharacteristic
705C2×C4×C43C22×D411yescharacteristic
706C2×C4×C43C22×D411yescharacteristic
707C2×C4×C43C2511yescharacteristic
708C22⋊D43—22no—
709C22⋊D43—22no—
710C22⋊D43—22no—
711C22⋊D43—41no—
712C2×Dic43—22no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—81no—
722C2×Dic43C22×D411yescharacteristic
723C2×Dic43C22×D411yescharacteristic
724C2×Dic43C22×D411yescharacteristic
725C2×Dic43C22×D411yescharacteristic
726C2×Dic43C22×D411yescharacteristic
727D172—22no—
728D172—22no—
729C4×D43—22no—
730C4×D43—21no—
731C4×D43—21no—
732C4×D43—21no—
733C4×D43—21no—
734C4×D43—22no—
735C4×D43—42no—
736C4×D43—42no—
737C4×D43—42no—
738C4×D43—42no—
739C4×D43—81no—
740C4×D43—81no—
741C4×D43—81no—
742C4×D43—81no—
743C4×D43—81no—
744C4×D43—81no—
745C4×D43C2×#4112yes—
746C4×D432−1+412yes—
747Dic86—22no—
748Dic86—21no—
749Dic86—21no—
750Dic86—21no—
751Dic86—21no—
752Dic86—42no—
753Dic86—42no—
754Dic86—81no—
755Dic86—81no—
756Dic86—81no—
757C8×C43—21no—
758C8×C43—21no—
759C8×C43—21no—
760C8×C43C2×#4112yes—
761C43⋊C8—21no—
762C43⋊C8—21no—
763C43⋊C8—21no—
764C43⋊C8C2×#4112yes—
765#61264—431nomaximal, Sylow
766C22×C43—21no—
767C22×C43—21no—
768C22×C43—21no—
769C22×C43—21no—
770C22×C43—21no—
771C22×C43—21no—
772C22×C43C23×D411yescharacteristic
773C2×D43—21no—
774C2×D43—21no—
775C2×D43—21no—
776C2×D43—21no—
777C2×D43—21no—
778C2×D43—21no—
779C2×D43—21no—
780C2×D43—44no—
781C2×D43#54712yes—
782C2×D43#57812yes—
783C4×C43—21no—
784C4×C43—21no—
785C4×C43—21no—
786C4×C43—21no—
787C4×C43—41no—
788C4×C43—41no—
789C4×C43—41no—
790C4×C43—41no—
791C4×C43—41no—
792C4×C43—41no—
793C4×C43—41no—
794C4×C43—41no—
795C4×C43C22×#4111yescharacteristic
796C4×C43C2×2−1+411yescharacteristic
797Dic43—21no—
798Dic43—21no—
799Dic43—21no—
800Dic43—21no—
801Dic43—41no—
802Dic43—41no—
803Dic43—41no—
804Dic43—41no—
805Dic43—41no—
806Dic43—41no—
807Dic43—41no—
808Dic43—41no—
809Dic43#54712yes—
810#3495—431no—
811#3495—431no—
812#3349—431no—
813#3349—431no—
814#3349—431no—
815#3349D4311yescharacteristic, complemented
816#3344—431no—
817#3344—431no—
818#3344—431no—
819#3344—431no—
820#3342—431no—
821#3342—431no—
822#3338—431no—
823#3338—431no—
824#3336—431no—
825#3336—431no—
826#3336—431no—
827#3336—431no—
828#3164—431no—
829#3097—431no—
830#3097—431no—
831#3095—431no—
832#3095—431no—
833#3082—431no—
834#3082—431no—
835#3059—431no—
836C2×#467—431no—
837#2950—431no—
838#2929—431no—
839#2913—431no—
840C2×#427—431no—
841C2×C43—41no—
842C2×C43—41no—
843C2×C43C2×#54711yescharacteristic
844C2×C43C2×#57811yescharacteristic
845C2×C43#358411yescharacteristic
846D43—22no—
847D43—22no—
848D43—41no—
849C22×Q16—431no—
850C2×#131—431no—
851C23×C8—431no—
852#556—431no—
853#556—431no—
854#556—431no—
855#556C2×D4311yescharacteristic
856#554—431no—
857#554—431no—
858#554—431no—
859#554—431no—
860#552—431no—
861#552—431no—
862#552—431no—
863#552—431no—
864#552—431no—
865#552—431no—
866#552—431no—
867#552—861no—
868#552—861no—
869#552—861no—
870#552—861no—
871#552C2×D4311yescharacteristic
872#551—861no—
873#551—861no—
874#551—861no—
875#551—861no—
876#544—431no—
877#544—431no—
878#542—861no—
879#542—861no—
880#541—861no—
881#541—861no—
882#536—431no—
883#536—431no—
884#533—861no—
885#533—861no—
886#529—861no—
887#529—861no—
888#525—431no—
889C2×C22⋊Q8—431no—
890C2×C22⋊Q8—431no—
891#520—431no—
892#520—431no—
893#519—431no—
894#519—431no—
895C2×#117—431no—
896C2×#117—431no—
897#501—431no—
898#501—431no—
899#501—431no—
900#501C2×D4311yescharacteristic, complemented
901#500—431no—
902#500—431no—
903#499—431no—
904#499—431no—
905#485—431no—
906#485—431no—
907#485—431no—
908#485—431no—
909#485—431no—
910#485—431no—
911#485—431no—
912#485—431no—
913#485—431no—
914#485—431no—
915#485—431no—
916#485—431no—
917#485—431no—
918#485C2×D4311yescharacteristic
919#485C2×D4311yescharacteristic
920#485C2×D4311yescharacteristic, complemented
921#484—431no—
922#484—431no—
923#484—431no—
924#484—431no—
925#484—431no—
926#484—431no—
927#484—431no—
928#484C2×D4311yescharacteristic, complemented
929#483—431no—
930#483—431no—
931#483—431no—
932#483—431no—
933#483—431no—
934#483—431no—
935#483—431no—
936#483—431no—
937#479—431no—
938#479—431no—
939#479—431no—
940#479—431no—
941#479—431no—
942#479—431no—
943#479—431no—
944#479C2×D4311yescharacteristic, complemented
945#477—431no—
946#477—431no—
947#477—431no—
948#477C2×D4311yescharacteristic, complemented
949#475—431no—
950#475—431no—
951#475—431no—
952#475—431no—
953#470—431no—
954#470—431no—
955#470—431no—
956#470C2×D4311yescharacteristic, complemented
957#467—431no—
958#467—431no—
959#467—431no—
960#467—431no—
961#467—431no—
962#467—431no—
963#467—431no—
964#467—431no—
965#467—431no—
966#467—431no—
967#467—431no—
968#467C2×D4311yescharacteristic
969#441—431no—
970#441—431no—
971#441—431no—
972#441C2×D4311yescharacteristic, complemented
973C4×Q16—431no—
974C4×Q16—431no—
975C4×Q16—431no—
976C4×Q16—431no—
977#435—431no—
978#435—431no—
979#435—431no—
980#435C2×D4311yescharacteristic
981C8×D4—431no—
982C8×D4—431no—
983C8×D4—431no—
984C8×D4—431no—
985#428—431no—
986#428—431no—
987#428—431no—
988#428—431no—
989#428—431no—
990#428—431no—
991#428—431no—
992#428C2×D4311yescharacteristic, complemented
993#427—431no—
994#427—431no—
995#427—431no—
996#427—431no—
997#427—431no—
998#427—431no—
999#427—431no—
1000#427—431no—
1001#427—431no—
1002#427C2×D4311yescharacteristic
1003C2×#107—431no—
1004C2×#107—431no—
1005C2×#107—431no—
1006C2×#107—431no—
1007C2×#107—431no—
1008C2×#106—431no—
1009C2×#106—431no—
1010#424—431no—
1011#419—431no—
1012#419—431no—
1013#419—431no—
1014#419—431no—
1015C2×#103—431no—
1016C2×#103—431no—
1017#408—431no—
1018#407—431no—
1019#405—431no—
1020C43#6126411yescharacteristic, complemented, Sylow
1021C2×#41—431no—
1022C22×Q8—431no—
1023C22×Q8—431no—
1024C23×C4—431no—
1025C2×Q16—431no—
1026C2×Q16—431no—
1027C2×Q16—431no—
1028C2×Q16—864no—
1029C2×Q16C22×D4311yescharacteristic
1030#131—864no—
1031C2×M16—431no—
1032C2×M16—431no—
1033C2×M16—431no—
1034C2×M16C22×D4311yescharacteristic
1035C22×C8—431no—
1036C22×C8—431no—
1037C22×C8—431no—
1038C22×C8—431no—
1039C22×C8—431no—
1040C22×C8—431no—
1041C22×C8—431no—
1042C22×C8—864no—
1043C22×C8C22×D4311yescharacteristic
1044C4⋊Q8—431no—
1045C4⋊Q8—431no—
1046C4⋊Q8—431no—
1047C4⋊Q8—861no—
1048C4⋊Q8—861no—
1049C4⋊Q8—861no—
1050C4⋊Q8—861no—
1051C4⋊Q8C22×D4311yescharacteristic
1052#126—21no—
1053#126—21no—
1054#126—21no—
1055#126—861no—
1056#126—861no—
1057#126—861no—
1058#126—861no—
1059#126—861no—
1060#126—861no—
1061#126—861no—
1062#126—861no—
1063#126—861no—
1064#126—861no—
1065#126—861no—
1066#126—861no—
1067#126—861no—
1068#125—21no—
1069#125—431no—
1070#125—431no—
1071#125—431no—
1072#125—861no—
1073#125—861no—
1074#125—861no—
1075#125—861no—
1076#125—861no—
1077#125—861no—
1078#125—861no—
1079#125—861no—
1080#125—861no—
1081#125—861no—
1082#125—861no—
1083#125—861no—
1084#125—861no—
1085#125C22×D4311yescharacteristic
1086#124—21no—
1087#124—861no—
1088#124—861no—
1089#124—861no—
1090#124—861no—
1091#124—861no—
1092#123—21no—
1093#123—431no—
1094#123—431no—
1095#123—861no—
1096#123—861no—
1097#123—861no—
1098#123—861no—
1099#123—861no—
1100#123—861no—
1101#123—861no—
1102#123—861no—
1103#123—861no—
1104#123—861no—
1105#123—861no—
1106C22⋊Q8—431no—
1107C22⋊Q8—431no—
1108C22⋊Q8—431no—
1109C22⋊Q8—431no—
1110C22⋊Q8—431no—
1111C22⋊Q8—431no—
1112C22⋊Q8—431no—
1113C22⋊Q8—431no—
1114C22⋊Q8—431no—
1115C22⋊Q8—431no—
1116C22⋊Q8—431no—
1117C22⋊Q8—431no—
1118C22⋊Q8—431no—
1119C22⋊Q8—431no—
1120C22⋊Q8—861no—
1121C22⋊Q8—861no—
1122C22⋊Q8—861no—
1123C22⋊Q8—861no—
1124C22⋊Q8—861no—
1125C22⋊Q8—861no—
1126C22⋊Q8—861no—
1127C22⋊Q8—861no—
1128C22⋊Q8—861no—
1129C22⋊Q8—861no—
1130C22⋊Q8—861no—
1131C22⋊Q8—861no—
1132C22⋊Q8—861no—
1133C22⋊Q8—861no—
1134C22⋊Q8—861no—
1135C22⋊Q8—861no—
1136C22⋊Q8C22×D4311yescharacteristic
1137C22⋊Q8C22×D4311yescharacteristic
1138C22⋊Q8C22×D4311yescharacteristic
1139C22⋊Q8C22×D4311yescharacteristic
1140#121—431no—
1141#121—431no—
1142#120—431no—
1143#120—431no—
1144C4×Q8—21no—
1145C4×Q8—431no—
1146C4×Q8—431no—
1147C4×Q8—431no—
1148C4×Q8—431no—
1149C4×Q8—431no—
1150C4×Q8—431no—
1151C4×Q8—861no—
1152C4×Q8—861no—
1153C4×Q8—861no—
1154C4×Q8—861no—
1155C4×Q8—861no—
1156C4×Q8—861no—
1157C4×Q8—861no—
1158C4×Q8—861no—
1159C4×Q8—861no—
1160C4×Q8C22×D4311yescharacteristic
1161C4×Q8C22×D4311yescharacteristic
1162C4×D4—431no—
1163C4×D4—431no—
1164C4×D4—431no—
1165C4×D4—861no—
1166C4×D4—861no—
1167C4×D4—861no—
1168C4×D4—861no—
1169C4×D4—861no—
1170C4×D4—861no—
1171C4×D4—861no—
1172C4×D4—861no—
1173C4×D4—861no—
1174C4×D4—861no—
1175C4×D4C22×D4311yescharacteristic
1176#117—21no—
1177#117—431no—
1178#117—431no—
1179#117—431no—
1180#117—431no—
1181#117—431no—
1182#117—431no—
1183#117—431no—
1184#117—431no—
1185#117—431no—
1186#117—431no—
1187#117—861no—
1188#117—861no—
1189#117—861no—
1190#117—861no—
1191#117—861no—
1192#117—861no—
1193#117—861no—
1194#117—861no—
1195#117—861no—
1196#117—861no—
1197#117—861no—
1198#117—861no—
1199#117—861no—
1200#117—861no—
1201#117—861no—
1202#117C22×D4311yescharacteristic
1203#117C22×D4311yescharacteristic
1204#117C22×D4311yescharacteristic
1205C2×C4⋊C4—431no—
1206C2×C4⋊C4—431no—
1207C2×C4⋊C4—431no—
1208C2×C4⋊C4—431no—
1209C2×C4⋊C4—431no—
1210C2×C4⋊C4—431no—
1211C2×C4⋊C4—431no—
1212C2×C4⋊C4—431no—
1213C2×C4⋊C4—431no—
1214C2×C4⋊C4—861no—
1215C2×C4⋊C4—861no—
1216C2×C4⋊C4C22×D4311yescharacteristic
1217C2×C22⋊C4—861no—
1218C2×C22⋊C4—861no—
1219C2×C22⋊C4—861no—
1220C2×C22⋊C4—861no—
1221C2×C42—861no—
1222C2×C42—861no—
1223#107—431no—
1224#107—431no—
1225#107—431no—
1226#107—431no—
1227#107—431no—
1228#107—431no—
1229#107—431no—
1230#107—431no—
1231#107—431no—
1232#107—431no—
1233#107—431no—
1234#107—431no—
1235#107—431no—
1236#107—431no—
1237#107—431no—
1238#107C22×D4311yescharacteristic
1239#107C22×D4311yescharacteristic
1240#107C22×D4311yescharacteristic
1241#107C22×D4311yescharacteristic
1242#107C22×D4311yescharacteristic
1243#106—431no—
1244#106—431no—
1245#106—431no—
1246#106—431no—
1247#106—431no—
1248#106—431no—
1249#106—431no—
1250#106—431no—
1251#106—431no—
1252#106—431no—
1253#106—431no—
1254#106—431no—
1255#106C22×D4311yescharacteristic
1256#106C22×D4311yescharacteristic
1257#106C22×D4311yescharacteristic
1258#106C22×D4311yescharacteristic
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8C22×D4311yescharacteristic
1263#103—431no—
1264#103—431no—
1265#103—431no—
1266#103—431no—
1267#103—431no—
1268#103—431no—
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103—431no—
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#103—431no—
1279#103—431no—
1280#103—431no—
1281#103C22×D4311yescharacteristic
1282#103C22×D4311yescharacteristic
1283#103C22×D4311yescharacteristic
1284#103C22×D4311yescharacteristic
1285#103C22×D4311yescharacteristic
1286#103C22×D4311yescharacteristic
1287C22⋊C8—431no—
1288C22⋊C8—431no—
1289C22⋊C8—431no—
1290C22⋊C8—431no—
1291C22⋊C8—431no—
1292C22⋊C8—431no—
1293C22⋊C8C22×D4311yescharacteristic
1294C22⋊C8C22×D4311yescharacteristic
1295#97—431no—
1296#97C22×D4311yescharacteristic
1297C4×C8—431no—
1298C4×C8—431no—
1299C24—431no—
1300#41—862no—
1301#41—862no—
1302C2×Q8—21no—
1303C2×Q8—431no—
1304C2×Q8—431no—
1305C2×Q8—431no—
1306C2×Q8—861no—
1307C2×Q8—861no—
1308C2×Q8—861no—
1309C2×Q8—861no—
1310C2×Q8—862no—
1311C2×Q8—862no—
1312C2×Q8—862no—
1313C2×Q8—862no—
1314C2×Q8—861no—
1315C2×Q8C23×D4311yescharacteristic
1316C2×Q8C23×D4311yescharacteristic
1317C2×D4—431no—
1318C2×D4—431no—
1319C2×D4—431no—
1320C2×D4—431no—
1321C2×D4—431no—
1322C2×D4—431no—
1323C2×D4D4×D4311yescharacteristic
1324C22×C4—21no—
1325C22×C4—431no—
1326C22×C4—431no—
1327C22×C4—431no—
1328C22×C4—431no—
1329C22×C4—431no—
1330C22×C4—431no—
1331C22×C4—862no—
1332C22×C4—862no—
1333C22×C4—861no—
1334C22×C4—861no—
1335C22×C4—861no—
1336C22×C4—861no—
1337C22×C4—861no—
1338C22×C4—861no—
1339C22×C4—861no—
1340C22×C4—861no—
1341C22×C4—861no—
1342C22×C4—861no—
1343C22×C4—861no—
1344C22×C4C23×D4311yescharacteristic
1345C22×C4C23×D4311yescharacteristic
1346Q16—22no—
1347Q16—862no—
1348Q16—862no—
1349Q16—862no—
1350M16—22no—
1351M16—862no—
1352M16—862no—
1353M16—862no—
1354C2×C8—22no—
1355C2×C8—431no—
1356C2×C8—434no—
1357C2×C8—431no—
1358C2×C8—431no—
1359C2×C8—431no—
1360C2×C8—862no—
1361C2×C8—862no—
1362C2×C8—862no—
1363C2×C8—862no—
1364C2×C8—862no—
1365C2×C8—862no—
1366C2×C8C23×D4311yescharacteristic
1367C2×C8C23×D4311yescharacteristic
1368C2×C8C23×D4311yescharacteristic
1369C2×C8C23×D4311yescharacteristic
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—21no—
1380C4⋊C4—431no—
1381C4⋊C4—431no—
1382C4⋊C4—431no—
1383C4⋊C4—431no—
1384C4⋊C4—431no—
1385C4⋊C4—431no—
1386C4⋊C4—431no—
1387C4⋊C4—431no—
1388C4⋊C4—431no—
1389C4⋊C4—431no—
1390C4⋊C4—431no—
1391C4⋊C4—861no—
1392C4⋊C4—861no—
1393C4⋊C4—861no—
1394C4⋊C4—861no—
1395C4⋊C4—861no—
1396C4⋊C4—861no—
1397C4⋊C4—861no—
1398C4⋊C4—861no—
1399C4⋊C4—861no—
1400C4⋊C4—861no—
1401C4⋊C4—861no—
1402C4⋊C4—861no—
1403C4⋊C4—861no—
1404C4⋊C4—861no—
1405C4⋊C4—861no—
1406C4⋊C4—861no—
1407C4⋊C4—861no—
1408C4⋊C4—861no—
1409C4⋊C4—861no—
1410C4⋊C4—861no—
1411C4⋊C4—861no—
1412C4⋊C4—861no—
1413C4⋊C4—861no—
1414C4⋊C4—861no—
1415C4⋊C4—861no—
1416C4⋊C4—861no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4D4×D4311yescharacteristic
1428C4⋊C4C23×D4311yescharacteristic
1429C4⋊C4C23×D4311yescharacteristic
1430C4⋊C4C23×D4311yescharacteristic
1431C4⋊C4C23×D4311yescharacteristic
1432C4⋊C4C23×D4311yescharacteristic
1433C4⋊C4C23×D4311yescharacteristic
1434C22⋊C4—21no—
1435C22⋊C4—21no—
1436C22⋊C4—21no—
1437C22⋊C4—21no—
1438C22⋊C4—21no—
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—431no—
1442C22⋊C4—431no—
1443C22⋊C4—431no—
1444C22⋊C4—431no—
1445C22⋊C4—431no—
1446C22⋊C4—431no—
1447C22⋊C4—431no—
1448C22⋊C4—431no—
1449C22⋊C4—861no—
1450C22⋊C4—861no—
1451C22⋊C4—861no—
1452C22⋊C4—861no—
1453C22⋊C4—861no—
1454C22⋊C4—861no—
1455C22⋊C4—861no—
1456C22⋊C4—861no—
1457C22⋊C4—861no—
1458C22⋊C4—861no—
1459C22⋊C4—861no—
1460C22⋊C4—861no—
1461C22⋊C4—861no—
1462C22⋊C4—861no—
1463C22⋊C4—861no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4D4×D4311yescharacteristic
1471C22⋊C4D4×D4311yescharacteristic
1472C42—21no—
1473C42—21no—
1474C42—21no—
1475C42—21no—
1476C42—21no—
1477C42—431no—
1478C42—861no—
1479C42—861no—
1480C42—861no—
1481C42—861no—
1482C42—861no—
1483C42—861no—
1484C42—861no—
1485C42—861no—
1486C42—861no—
1487C42—861no—
1488C42—861no—
1489C42—861no—
1490C42—861no—
1491C42—861no—
1492C42—861no—
1493C42C23×D4311yescharacteristic
1494C23—431no—
1495C23—431no—
1496C23—431no—
1497C23—862no—
1498C23—862no—
1499C23—1721no—
1500C23C2×D4×D4311yescharacteristic
1501C23C2×D4×D4311yescharacteristic
1502Q8—21no—
1503Q8—21no—
1504Q8—21no—
1505Q8—21no—
1506Q8—81no—
1507Q8—862no—
1508Q8—861no—
1509Q8—861no—
1510Q8—861no—
1511Q8—861no—
1512Q8—3441no—
1513Q8—3441no—
1514Q8—3441no—
1515Q8—1722no—
1516Q8—1722no—
1517D4—41no—
1518D4—862no—
1519D4—862no—
1520D4—862no—
1521D4—862no—
1522D4—862no—
1523D4—1721no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—81no—
1537C2×C4—431no—
1538C2×C4—432no—
1539C2×C4—432no—
1540C2×C4—431no—
1541C2×C4—431no—
1542C2×C4—431no—
1543C2×C4—431no—
1544C2×C4—862no—
1545C2×C4—862no—
1546C2×C4—862no—
1547C2×C4—861no—
1548C2×C4—861no—
1549C2×C4—861no—
1550C2×C4—861no—
1551C2×C4—861no—
1552C2×C4—861no—
1553C2×C4—861no—
1554C2×C4—861no—
1555C2×C4—861no—
1556C2×C4—861no—
1557C2×C4—861no—
1558C2×C4—861no—
1559C2×C4—3441no—
1560C2×C4—3441no—
1561C2×C4—3441no—
1562C2×C4—3441no—
1563C2×C4—3441no—
1564C2×C4—3441no—
1565C2×C4—3441no—
1566C2×C4—1722no—
1567C2×C4—1722no—
1568C2×C4—1722no—
1569C2×C4—1722no—
1570C2×C4C2×D4×D4311yescharacteristic
1571C2×C4C2×D4×D4311yescharacteristic
1572C2×C4C2×D4×D4311yescharacteristic
1573C2×C4C2×D4×D4311yescharacteristic
1574C2×C4C24×D4311yescharacteristic
1575C8—21no—
1576C8—21no—
1577C8—21no—
1578C8—432no—
1579C8—861no—
1580C8—861no—
1581C8—861no—
1582C8#41×D4312yes—
1583C22—21no—
1584C22—21no—
1585C22—21no—
1586C22—21no—
1587C22—21no—
1588C22—21no—
1589C22—432no—
1590C22—432no—
1591C22—861no—
1592C22—861no—
1593C22—861no—
1594C22—861no—
1595C22—861no—
1596C22—861no—
1597C22—861no—
1598C22—1724no—
1599C22C22×D4×D4311yescharacteristic
1600C4—21no—
1601C4—21no—
1602C4—21no—
1603C4—21no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—432no—
1613C4—861no—
1614C4—861no—
1615C4—861no—
1616C4—861no—
1617C4—1721no—
1618C4—1721no—
1619C4—1721no—
1620C4—1721no—
1621C4—1721no—
1622C4—1721no—
1623C4—1721no—
1624C4—1721no—
1625C4C2×#41×D4311yescharacteristic
1626C42−1+4×D4311yescharacteristic
1627C2—41no—
1628C2—41no—
1629C2—862no—
1630C2—862no—
1631C2—1721no—
1632C2#547×D4311yescharacteristic
1633C2#578×D4311yescharacteristic
1634C2#1914936811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3349C2
socleC22×C43C23×D4
prime radical#14583408C22
hypercenter#3349D43
hypocenterC43#61264
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3349

Complements

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

NH ≅ G/Ntype
3. #19147131C2semidirect
4. #19147127C2semidirect
5. #19147121C2semidirect
6. #19147055C2semidirect
7. #19147051C2semidirect
8. #19147049C2semidirect
9. #19147045C2semidirect
10. #19147021C2semidirect
11. #19147020C2semidirect
12. #19146986C2semidirect
13. #19146982C2semidirect
14. #19146960C2semidirect
15. #19146957C2semidirect
16. #19146956C2semidirect
17. #19146956C2semidirect
18. #19145130C2semidirect
19. #19144563C2semidirect
20. #19144559C2semidirect
21. #19144542C2semidirect
22. #19144542C2semidirect
23. #19144436C2semidirect
24. #19144432C2semidirect
25. #19144248C2semidirect
26. #467×D43C2semidirect
27. #19143460C2semidirect
29. #19143194C2semidirect
30. #427×D43C2semidirect
31. C43×#3349C2semidirect
78. #14583308C22semidirect
79. #14583307C22semidirect
80. #14583306C22semidirect
81. #14583303C22semidirect
82. #14583302C22semidirect
83. #14583299C22semidirect
84. #14583298C22semidirect
85. #14583242C22semidirect
86. #14583242C22semidirect
89. #14583241C22semidirect
92. #14583240C22semidirect
93. #14583239C22semidirect
94. #14583239C22semidirect
97. #14583237C22semidirect
100. #14583236C22semidirect
101. #14583235C22semidirect
104. #14583233C22semidirect
107. #14583231C22semidirect
108. #14583229C22semidirect
111. #14583228C22semidirect
112. #14583227C22semidirect
113. #14583208C22semidirect
114. #14583208C22semidirect
115. #14583207C22semidirect
116. #14583206C22semidirect
117. #14583205C22semidirect
118. #14583205C22semidirect
119. #14583203C22semidirect
120. #14583195C22semidirect
121. #14583193C22semidirect
122. #14583192C22semidirect
123. #14583184C22semidirect
124. #14583183C22semidirect
125. #14583182C22semidirect
126. #14583181C22semidirect
127. #14583158C22semidirect
128. #14583157C22semidirect
129. #14583154C22semidirect
134. #14583139C22semidirect
135. #14583139C22semidirect
138. #14583138C22semidirect
139. #14583138C22semidirect
141. #14583007C22semidirect
142. #14583006C22semidirect
143. #14583005C22semidirect
144. C4×#10621885C22semidirect
145. C4×#10621885C22semidirect
146. #14582991C22semidirect
147. #14582991C22semidirect
155. #14582941C22semidirect
158. #14582940C22semidirect
161. #14582938C22semidirect
167. #14582935C22semidirect
170. #14582934C22semidirect
171. C2×#13063258C22semidirect
175. #107×D43C22semidirect
190. C43×#501C22semidirect
193. C43×#485C22semidirect
194. C43×#484C22semidirect
195. C43×#479C22semidirect
196. C43×#477C22semidirect
197. C43×#470C22semidirect
199. C43×#441C22semidirect
201. C43×#428C22semidirect
815. #3349D43semidirect
900. #501C2×D43semidirect
920. #485C2×D43semidirect
928. #484C2×D43semidirect
944. #479C2×D43semidirect
948. #477C2×D43semidirect
956. #470C2×D43semidirect
972. #441C2×D43semidirect
992. #428C2×D43semidirect
1020. C43#61264semidirect

Maximal subgroups

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

subgroupindex
#191483462
#191483402
#191471312
#191471272
#191471212
#191470552
#191470512
#191470492
#191470452
#191470212
#191470202
#191469862
#191469822
#191469602
#191469572
#191469562
#191451302
#191445632
#191445592
#191445422
#191444362
#191444322
#191442482
#467×D432
#191434602
#191432862
#191431942
#427×D432
C43×#33492
#6126443