Finite Group Databasebeta

← #25988668

Subgroups — #25988668

Order 11008.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149003C211yesmaximal, characteristic, complemented
2#19148494C211yesmaximal, characteristic, complemented
3#19147686C211yesmaximal, characteristic, complemented
4#19147683C211yesmaximal, characteristic, complemented
5#19147671C211yesmaximal, characteristic, complemented
6#19147669C211yesmaximal, characteristic, complemented
7#19147668C211yesmaximal, characteristic, complemented
8#19147667C211yesmaximal, characteristic, complemented
9#19147665C211yesmaximal, characteristic, complemented
10#19147660C211yesmaximal, characteristic, complemented
11#19147406C211yesmaximal, characteristic, complemented
12#19147404C211yesmaximal, characteristic, complemented
13#19147384C211yesmaximal, characteristic, complemented
14#19147382C211yesmaximal, characteristic, complemented
15#19147340C211yesmaximal, characteristic, complemented
16#19147339C211yesmaximal, characteristic, complemented
17#19147318C211yesmaximal, characteristic, complemented
18#19147317C211yesmaximal, characteristic, complemented
19#19145704C211yesmaximal, characteristic, complemented
20#19145695C211yesmaximal, characteristic, complemented
21#19145687C211yesmaximal, characteristic, complemented
22#19145597C211yesmaximal, characteristic, complemented
23#19145581C211yesmaximal, characteristic, complemented
24#19144825C211yesmaximal, characteristic, complemented
25#19144817C211yesmaximal, characteristic, complemented
26#19144781C211yesmaximal, characteristic, complemented
27#19144773C211yesmaximal, characteristic, complemented
28#19144750C211yesmaximal, characteristic, complemented
29#19144739C211yesmaximal, characteristic, complemented
30#19143699C211yesmaximal, characteristic, complemented
31C43×#3225C211yesmaximal, characteristic, complemented
32#14583651—21no—
33#14583650—21no—
34#14583632C2211yescharacteristic, complemented
35#14583631C2211yescharacteristic
36#14583631C2211yescharacteristic
37#14583631C2211yescharacteristic
38#14583631C2211yescharacteristic
39#14583631C2211yescharacteristic, complemented
40Q8×Dic86C2211yescharacteristic, complemented
41#14583629C2211yescharacteristic, complemented
42#14583623C2211yescharacteristic
43#14583623C2211yescharacteristic
44#14583623C2211yescharacteristic
45#14583623C2211yescharacteristic
46#14583621C2211yescharacteristic, complemented
47#14583618C2211yescharacteristic, complemented
48#14583616—21no—
49#14583572—21no—
50#14583572—21no—
51#14583572—21no—
52#14583572—21no—
53D4×Dic86C2211yescharacteristic, complemented
54#14583564C2211yescharacteristic, complemented
55#14583562—21no—
56#14583522—21no—
57#14583522—21no—
58#14583522C2211yescharacteristic
59#14583520C2211yescharacteristic
60#14583517—21no—
61#14583516C2211yescharacteristic
62#14583513—21no—
63#14583471—21no—
64#14583469—21no—
65#14583463C2211yescharacteristic
66#14583452C2211yescharacteristic
67#14583451C2211yescharacteristic
68#14583444C2211yescharacteristic
69#14583435—21no—
70#14583435—21no—
71C2×#13063314C2211yescharacteristic
72#14583377C2211yescharacteristic
73#14583373C2211yescharacteristic
74#41×Dic43C2211yescharacteristic
75#14583292C2211yescharacteristic
76#14583292C2211yescharacteristic
77#14583291C2211yescharacteristic, complemented
78#14583287C2211yescharacteristic
79#14583285C2211yescharacteristic
80#14583285C2211yescharacteristic
81#14583285C2211yescharacteristic
82#14583284C2211yescharacteristic
83#14583281C2211yescharacteristic, complemented
84#14583280C2211yescharacteristic
85#14583260C2211yescharacteristic
86#14583260C2211yescharacteristic
87#14583260C2211yescharacteristic
88#14583260C2211yescharacteristic
89#14583260C2211yescharacteristic
90#14583260C2211yescharacteristic
91#14583258C2211yescharacteristic, complemented
92#14583249C2211yescharacteristic, complemented
93#14583244C2211yescharacteristic
94#14583244C2211yescharacteristic
95#14583241C2211yescharacteristic
96#14583237C2211yescharacteristic
97#14583224C2211yescharacteristic
98#14583220C2211yescharacteristic
99#14583192C2211yescharacteristic, complemented
100#14583192C2211yescharacteristic, complemented
101#14583192C2211yescharacteristic, complemented
102#14583190C2211yescharacteristic
103#14583187C2211yescharacteristic, complemented
104#14583186C2211yescharacteristic
105#14583182C2211yescharacteristic, complemented
106#14583182C2211yescharacteristic, complemented
107#14583182C2211yescharacteristic, complemented
108#14583180C2211yescharacteristic
109#14583177C2211yescharacteristic, complemented
110#14583176C2211yescharacteristic
111#14583124C2211yescharacteristic
112#14583124C2211yescharacteristic
113#14583124C2211yescharacteristic
114#14583123C2211yescharacteristic
115#14583123C2211yescharacteristic
116#14583123C2211yescharacteristic
117#14583123C2211yescharacteristic, complemented
118#14583123C2211yescharacteristic, complemented
119#14583119C2211yescharacteristic, complemented
120#14583119C2211yescharacteristic, complemented
121#14583118C2211yescharacteristic, complemented
122#14583117C2211yescharacteristic
123#14583117C2211yescharacteristic
124#14583117C2211yescharacteristic
125#14583116C2211yescharacteristic
126#14583116C2211yescharacteristic
127#14583116C2211yescharacteristic
128#14583115C2211yescharacteristic
129#14583115C2211yescharacteristic
130#14583111C2211yescharacteristic
131#14583111C2211yescharacteristic
132#14583111C2211yescharacteristic, complemented
133#14583107C2211yescharacteristic, complemented
134#14583106C2211yescharacteristic, complemented
135#14583102C2211yescharacteristic, complemented
136#14583101C2211yescharacteristic, complemented
137#14583098C2211yescharacteristic
138#14583097C2211yescharacteristic
139#14583097C2211yescharacteristic, complemented
140#14583093C2211yescharacteristic
141#14583092C2211yescharacteristic
142#14583092C2211yescharacteristic, complemented
143#14583061C2211yescharacteristic
144#14583055C2211yescharacteristic
145#14583052C2211yescharacteristic
146#14583049C2211yescharacteristic
147#14583044C2211yescharacteristic
148#14583038C2211yescharacteristic
149#14583035C2211yescharacteristic
150#14583032C2211yescharacteristic
151#14583029C2211yescharacteristic, complemented
152#14583029C2211yescharacteristic, complemented
153#14583028C2211yescharacteristic, complemented
154#14583028C2211yescharacteristic, complemented
155#14583027C2211yescharacteristic, complemented
156#14583027C2211yescharacteristic, complemented
157#14583026C2211yescharacteristic, complemented
158#14583026C2211yescharacteristic, complemented
159#14583012C2211yescharacteristic
160#14583011C2211yescharacteristic, complemented
161#14583009C2211yescharacteristic
162#14583008C2211yescharacteristic, complemented
163#14583006C2211yescharacteristic, complemented
164#14583006C2211yescharacteristic, complemented
165#14583003C2211yescharacteristic, complemented
166#14583003C2211yescharacteristic, complemented
167#14583002C2211yescharacteristic, complemented
168#14583002C2211yescharacteristic, complemented
169#14583001C2211yescharacteristic
170#14583000C2211yescharacteristic, complemented
171#14583000C2211yescharacteristic, complemented
172#14583000C2211yescharacteristic, complemented
173#14582997C2211yescharacteristic
174#14582996C2211yescharacteristic, complemented
175Q16×Dic43C2211yescharacteristic, complemented
176#14582991C2211yescharacteristic, complemented
177C4×#10621873C2211yescharacteristic
178SD16×Dic43C2211yescharacteristic, complemented
179C4×#10621884C2211yescharacteristic
180#14582984C2211yescharacteristic, complemented
181C4×D344C2211yescharacteristic
182C4×#10621882C2211yescharacteristic
183#14582960C2211yescharacteristic
184#14582957C2211yescharacteristic
185#14582957C2211yescharacteristic
186#14582953C2211yescharacteristic
187#14582953C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#536C2211yescharacteristic
190C43×#497C2211yescharacteristic, complemented
191C43×#495C2211yescharacteristic, complemented
192C43×#489C2211yescharacteristic, complemented
193C43×#487C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#462C2211yescharacteristic, complemented
197C43×#461C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic
199C43×#451C2211yescharacteristic
200C43×#449C2211yescharacteristic
201C43×#448C2211yescharacteristic
202C43×#433C2211yescharacteristic
203C2×#10621900—21no—
204C22×Dic86—21no—
205C2×Q8×D43—21no—
206C22×D172C2311yescharacteristic
207C2×#10621885C2311yescharacteristic
208C2×#10621885C2311yescharacteristic
209C2×#10621885C2311yescharacteristic
210C2×#10621873C2311yescharacteristic
211C2×#10621873C2311yescharacteristic
212C2×#10621883C2311yescharacteristic
213C2×#10621884C2311yescharacteristic
214C2×#10621884C2311yescharacteristic
215C2×#10621884C2311yescharacteristic
216C2×#10621884C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×D344C2311yescharacteristic
219C2×D344C2311yescharacteristic
220C2×#10621882C2311yescharacteristic
221C2×#10621882C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223#13063325—21no—
224#13063325C2311yescharacteristic
225#13063324—21no—
226#13063324—21no—
227#13063324—21no—
228#13063324D411yescharacteristic
229#13063324D411yescharacteristic
230#13063324C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063323—21no—
235#13063323—21no—
236#13063323C2311yescharacteristic
237#13063321C2311yescharacteristic
238#13063321C2311yescharacteristic
239#13063321C2311yescharacteristic
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063320—21no—
246#13063320—21no—
247#13063320—21no—
248#13063320—21no—
249#13063320—21no—
250#13063320—21no—
251#13063319—21no—
252#13063318—21no—
253#13063318—21no—
254#13063318—21no—
255#13063316D411yescharacteristic
256#13063316D411yescharacteristic
257#13063315—21no—
258#13063314—21no—
259#13063314—21no—
260#13063314C2311yescharacteristic
261#13063314C2311yescharacteristic
262#13063314C2311yescharacteristic
263#13063314C2311yescharacteristic
264#13063314C2311yescharacteristic
265#13063314C2311yescharacteristic
266#13063314C2311yescharacteristic
267#13063313C2311yescharacteristic
268#13063312—21no—
269#13063312C2311yescharacteristic
270#13063311—21no—
271#13063311—21no—
272#13063311—21no—
273#13063311—21no—
274#13063311—21no—
275#13063311—21no—
276#13063311—21no—
277#13063311—21no—
278#13063311—21no—
279#13063309—21no—
280#13063309—21no—
281#13063309—21no—
282#13063309—21no—
283#13063309—21no—
284#13063308—21no—
285#13063307—21no—
286#13063307—21no—
287#13063307—21no—
288#13063307—21no—
289#13063307—21no—
290#13063307—21no—
291#13063307—21no—
292#13063307—21no—
293#13063306—21no—
294#13063305—21no—
295#13063305—21no—
296#13063305—21no—
297#13063305—21no—
298#13063305—21no—
299#13063304—21no—
300#13063304C2311yescharacteristic
301#13063303—21no—
302#13063303—21no—
303#13063303—21no—
304#13063303—21no—
305#13063302—21no—
306#13063302—21no—
307#13063302—21no—
308#13063302—21no—
309#13063302—21no—
310#13063302D411yescharacteristic
311#13063302D411yescharacteristic
312#13063302D411yescharacteristic
313#13063302D411yescharacteristic
314#13063301—21no—
315#13063299—21no—
316#13063299—21no—
317#13063299C2311yescharacteristic
318#13063297—21no—
319#13063293—21no—
320#13063293—21no—
321Q8×Dic43—21no—
322Q8×Dic43—21no—
323Q8×Dic43C2311yescharacteristic
324Q8×Dic43C2311yescharacteristic
325Q8×Dic43C2311yescharacteristic
326Q8×Dic43C2311yescharacteristic
327Q8×Dic43C2311yescharacteristic
328Q8×Dic43C2311yescharacteristic
329Q8×Dic43C2311yescharacteristic
330Q8×Dic43C2311yescharacteristic
331C4×Dic86—21no—
332C4×Dic86C2311yescharacteristic
333C4×Dic86C2311yescharacteristic
334C4×Dic86C2311yescharacteristic
335C4×Dic86C2311yescharacteristic
336C4×Dic86C2311yescharacteristic
337#13063290—21no—
338#13063290—21no—
339#13063290C2311yescharacteristic
340#13063290C2311yescharacteristic
341C4×D172C2311yescharacteristic
342C4×D172C2311yescharacteristic
343C4×D172C2311yescharacteristic
344C4×D172C2311yescharacteristic
345C4×D172C2311yescharacteristic
346D4×Dic43—21no—
347D4×Dic43—21no—
348D4×Dic43C2311yescharacteristic
349D4×Dic43C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351D4×Dic43C2311yescharacteristic
352#13063287—21no—
353#13063287—21no—
354#13063287C2311yescharacteristic
355#13063287C2311yescharacteristic
356C4×C22⋊D43—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363#13063284—21no—
364#13063284—21no—
365#13063284—21no—
366#13063284C2311yescharacteristic
367#13063284C2311yescharacteristic
368#13063283—21no—
369#13063283—21no—
370#13063283—21no—
371#13063283—21no—
372#13063282—21no—
373#13063281—21no—
374#13063281—21no—
375C2×(C2×D43)⋊C4—21no—
376C2×(C2×D43)⋊C4—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C2×C4×Dic43—21no—
380C2×C4×Dic43C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389C4⋊(C43⋊C8)C2311yescharacteristic
390C4⋊(C43⋊C8)C2311yescharacteristic
391Dic43⋊C8C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425#13063236C2311yescharacteristic
426#13063235C2311yescharacteristic
427#13063235C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×#41×C43C2311yescharacteristic
436C22×Q8×C43C2311yescharacteristic
437C2×Q16×C43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446C4⋊Q8×C43C2311yescharacteristic
447C4⋊Q8×C43C2311yescharacteristic
448#126×C43—21no—
449#124×C43—21no—
450#124×C43C2311yescharacteristic
451#124×C43C2311yescharacteristic
452#124×C43C2311yescharacteristic
453#123×C43—21no—
454#123×C43—21no—
455#123×C43—21no—
456C22⋊Q8×C43—21no—
457C22⋊Q8×C43—21no—
458C22⋊Q8×C43—21no—
459C22⋊Q8×C43C2311yescharacteristic
460#121×C43C2311yescharacteristic
461C4×Q8×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463#117×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479#41×C43—41no—
480#41×C43—41no—
481C2×Q8×C43—21no—
482C2×Q8×C43—21no—
483C2×Q8×C43—41no—
484C2×Q8×C43—41no—
485C2×Q8×C43C2411yescharacteristic
486C2×Q8×C43C2411yescharacteristic
487C2×Q8×C43C2411yescharacteristic
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43C2411yescharacteristic
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C22×Dic43—21no—
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43—21no—
508C22×Dic43C2×D411yescharacteristic
509C22×Dic43C2×D411yescharacteristic
510Q8×D43—82no—
511#10621900—82no—
512C2×D172—21no—
513C2×D172—41no—
514C2×D172—41no—
515C2×D172C2411yescharacteristic
516C2×D172C2411yescharacteristic
517C2×D172C2411yescharacteristic
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×Dic86—21no—
526C2×Dic86—21no—
527C2×Dic86—21no—
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86—82no—
531C2×Dic86C2×D411yescharacteristic
532C2×Dic86C2×D411yescharacteristic
533C2×Dic86C2×D411yescharacteristic
534C2×Dic86C2×D411yescharacteristic
535C2×Dic86C2411yescharacteristic
536Q16×C43—41no—
537Q16×C43—41no—
538Q16×C43—41no—
539SD16×C43—41no—
540SD16×C43—41no—
541SD16×C43—41no—
542SD16×C43—41no—
543D8×C43—41no—
544C2×C8×C43C2411yescharacteristic
545C2×C8×C43C2411yescharacteristic
546C2×C8×C43C2411yescharacteristic
547C2×C8×C43C2411yescharacteristic
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43C2×D411yescharacteristic
556C4⋊C4×C43C2×D411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43C2×D411yescharacteristic
569C22⋊C4×C43C2×D411yescharacteristic
570C42×C43—21no—
571C42×C43C2411yescharacteristic
572C42×C43C2411yescharacteristic
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43C2×D411yescharacteristic
582C22⋊Dic43C2×D411yescharacteristic
583#10621885—41no—
584#10621885—41no—
585#10621885—41no—
586#10621884—41no—
587#10621884—41no—
588#10621884—41no—
589#10621884—41no—
590#10621884—41no—
591#10621883—41no—
592#10621882—41no—
593#10621882—41no—
594#10621882—41no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43C2×D411yescharacteristic
629C4⋊Dic43C2×D411yescharacteristic
630C4⋊Dic43C2×D411yescharacteristic
631C4⋊Dic43C2×D411yescharacteristic
632C4⋊Dic43C2×D411yescharacteristic
633C4⋊Dic43C2×D411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43C2×D411yescharacteristic
669C4×Dic43C2×D411yescharacteristic
670C4×Dic43C2411yescharacteristic
671C4×Dic43C2411yescharacteristic
672C4×Dic43C2411yescharacteristic
673C4×Dic43C2411yescharacteristic
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678D344—41no—
679D344—41no—
680#10621873—41no—
681#10621873—41no—
682C23×C43—21no—
683C23×C43—21no—
684C23×C43C22×D411yescharacteristic
685C22×D43—21no—
686C22×D43—21no—
687C22×D43—21no—
688C22×D43—42no—
689C22×D43—81no—
690C22×D43—81no—
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—21no—
695Q8×C43—21no—
696Q8×C43—21no—
697Q8×C43—21no—
698Q8×C43—21no—
699Q8×C43—42no—
700Q8×C43—81no—
701D4×C43—21no—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—21no—
705D4×C43—42no—
706D4×C43—81no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—42no—
716C2×C4×C43—42no—
717C2×C4×C43—81no—
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C2511yescharacteristic
724C22⋊D43—42no—
725C22⋊D43—81no—
726C22⋊D43—81no—
727C22⋊D43—81no—
728C22⋊D43—81no—
729C22⋊D43—81no—
730C22⋊D43—81no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—41no—
737C2×Dic43—41no—
738C2×Dic43—42no—
739C2×Dic43—81no—
740C2×Dic43—81no—
741C2×Dic43—81no—
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750D172—21no—
751D172—21no—
752D172—21no—
753D172—21no—
754D172—21no—
755D172—21no—
756D172—42no—
757C4×D43—42no—
758C4×D43—81no—
759C4×D43—81no—
760C4×D43—81no—
761C4×D43—81no—
762C4×D43—81no—
763C4×D43—81no—
764Dic86—21no—
765Dic86—21no—
766Dic86—41no—
767Dic86—41no—
768Dic86—41no—
769Dic86—41no—
770Dic86—42no—
771Dic86—81no—
772Dic86—81no—
773Dic86—81no—
774Dic86—81no—
775C8×C43—21no—
776C8×C43—21no—
777C8×C43—21no—
778C8×C43—21no—
779C43⋊C8—21no—
780C43⋊C8—21no—
781C43⋊C8—21no—
782C43⋊C8—21no—
783#61944—431nomaximal, Sylow
784C22×C43—21no—
785C22×C43—21no—
786C22×C43—21no—
787C22×C43—41no—
788C22×C43—41no—
789C22×C43—41no—
790C22×C43—41no—
791C22×C43—41no—
792C22×C43—41no—
793C22×C43C23×D411yescharacteristic
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—41no—
797C2×D43—41no—
798C2×D43—41no—
799C2×D43—41no—
800C2×D43—41no—
801C2×D43—41no—
802C2×D43—41no—
803C2×D43—162no—
804C4×C43—21no—
805C4×C43—21no—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43#58511yescharacteristic
816C4×C43#58511yescharacteristic
817Dic43—21no—
818Dic43—21no—
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—21no—
824Dic43—21no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830#3550—431no—
831#3510—431no—
832#3403—431no—
833#3403—431no—
834#3402—431no—
835#3402—431no—
836#3401—431no—
837#3401—431no—
838#3401—431no—
839#3401—431no—
840#3375—431no—
841#3375—431no—
842#3373—431no—
843#3373—431no—
844#3369—431no—
845#3369—431no—
846#3367—431no—
847#3367—431no—
848#3225—431no—
849#3225D4311yescharacteristic, complemented
850#3224—431no—
851#3224—431no—
852#3215—431no—
853#3213—431no—
854#3121—431no—
855#3121—431no—
856#3118—431no—
857#3118—431no—
858#3116—431no—
859#3115—431no—
860#2987—431no—
861C2×C43—41no—
862C2×C43—81no—
863C2×C43—81no—
864C2×C43#348711yescharacteristic
865C2×C43#358511yescharacteristic
866C2×C43#358611yescharacteristic
867D43—81no—
868D43—81no—
869D43—81no—
870#563—861no—
871#563—861no—
872#559—431no—
873#559—431no—
874#559—431no—
875#559—431no—
876#559—431no—
877#559—431no—
878Q82—431no—
879Q82—431no—
880#556—431no—
881#556—431no—
882#556—431no—
883#556—431no—
884#556—431no—
885#556—431no—
886#556—861no—
887#551—861no—
888#551—861no—
889#551—861no—
890#551—861no—
891D4×Q8—431no—
892D4×Q8—431no—
893D4×Q8—861no—
894#542—431no—
895#542—431no—
896#542—431no—
897#542—861no—
898#542—861no—
899#542—861no—
900#542—861no—
901#542C2×D4311yescharacteristic
902#536—861no—
903#536—861no—
904#536C2×D4311yescharacteristic
905#535—431no—
906#533—431no—
907#533—431no—
908#532—431no—
909#529—861no—
910#529—861no—
911C2×#124—431no—
912#519—431no—
913#518—431no—
914C4×#41—431no—
915#497—431no—
916#497—431no—
917#497—431no—
918#497C2×D4311yescharacteristic, complemented
919#496—431no—
920#496—431no—
921#496—431no—
922#496—431no—
923#495—431no—
924#495—431no—
925#495—431no—
926#495C2×D4311yescharacteristic, complemented
927#489—431no—
928#489—431no—
929#489—431no—
930#489—431no—
931#489—431no—
932#489—431no—
933#489—431no—
934#489C2×D4311yescharacteristic, complemented
935#487—431no—
936#487C2×D4311yescharacteristic, complemented
937#486—431no—
938#486—431no—
939#485—431no—
940#485—431no—
941#482—431no—
942#482—431no—
943#477—431no—
944#477—431no—
945#477—431no—
946#476—431no—
947#476—431no—
948#476—431no—
949#475—431no—
950#475—431no—
951#475—431no—
952#474—431no—
953#474—431no—
954#474—431no—
955#464—431no—
956#464—431no—
957#464—431no—
958#464—431no—
959#464—431no—
960#464—431no—
961#464—431no—
962#464—431no—
963#464—431no—
964#464—431no—
965#464—431no—
966#464C2×D4311yescharacteristic, complemented
967#463—431no—
968#463—431no—
969#463—431no—
970#463—431no—
971#463—431no—
972#463—431no—
973#463—431no—
974#463—431no—
975#463—431no—
976#463—431no—
977#463—431no—
978#463C2×D4311yescharacteristic, complemented
979#462—431no—
980#462—431no—
981#462C2×D4311yescharacteristic, complemented
982#461—431no—
983#461—431no—
984#461C2×D4311yescharacteristic, complemented
985#460—431no—
986#460—431no—
987#460—431no—
988#459—431no—
989#459—431no—
990#459—431no—
991#452—431no—
992#452C2×D4311yescharacteristic
993#451—431no—
994#451C2×D4311yescharacteristic
995#450—431no—
996#450—431no—
997#449—431no—
998#449C2×D4311yescharacteristic
999#448—431no—
1000#448C2×D4311yescharacteristic
1001#447—431no—
1002#447—431no—
1003#446—431no—
1004#446—431no—
1005#446—431no—
1006#446—431no—
1007#446—431no—
1008#446—431no—
1009#446—431no—
1010#446—431no—
1011#442—431no—
1012#442—431no—
1013#442—431no—
1014#442—431no—
1015#441—431no—
1016#441—431no—
1017#441—431no—
1018#441—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440—431no—
1025#440—431no—
1026#440—431no—
1027C4×Q16—431no—
1028C4×Q16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×D8—431no—
1034C4×D8—431no—
1035#433—431no—
1036#433—431no—
1037#433—431no—
1038#433C2×D4311yescharacteristic
1039#432—431no—
1040#432—431no—
1041C43#6194411yescharacteristic, complemented, Sylow
1042C2×#41—861no—
1043C2×#41C22×D4311yescharacteristic
1044C22×Q8—861no—
1045C22×Q8—861no—
1046C22×Q8C22×D4311yescharacteristic
1047C22×D4—431no—
1048C2×Q16—431no—
1049C2×Q16—431no—
1050C2×Q16—431no—
1051C2×Q16C22×D4311yescharacteristic
1052C2×Q16C22×D4311yescharacteristic
1053C2×Q16C22×D4311yescharacteristic
1054C2×SD16—431no—
1055C2×SD16—431no—
1056C2×SD16—431no—
1057C2×SD16—431no—
1058C2×SD16—431no—
1059C2×SD16—431no—
1060C2×SD16—431no—
1061C2×SD16—431no—
1062C2×SD16C22×D4311yescharacteristic
1063C2×SD16C22×D4311yescharacteristic
1064C2×SD16C22×D4311yescharacteristic
1065C2×SD16C22×D4311yescharacteristic
1066C2×D8—431no—
1067C2×D8—431no—
1068C2×D8—431no—
1069C2×D8—431no—
1070C2×D8—431no—
1071C2×D8C22×D4311yescharacteristic
1072C4⋊Q8—431no—
1073C4⋊Q8—431no—
1074C4⋊Q8—431no—
1075C4⋊Q8—431no—
1076C4⋊Q8—431no—
1077C4⋊Q8—431no—
1078C4⋊Q8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—861no—
1081C4⋊Q8—861no—
1082C4⋊Q8—861no—
1083C4⋊Q8—861no—
1084C4⋊Q8—861no—
1085C4⋊Q8—861no—
1086C4⋊Q8C22×D4311yescharacteristic
1087C4⋊Q8C22×D4311yescharacteristic
1088C4⋊Q8C22×D4311yescharacteristic
1089#127—431no—
1090#127—431no—
1091#127—431no—
1092#126—21no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#125—431no—
1109#125—431no—
1110#125—861no—
1111#124—21no—
1112#124—431no—
1113#124—431no—
1114#124—431no—
1115#124—431no—
1116#124—431no—
1117#124—431no—
1118#124—431no—
1119#124—431no—
1120#124—431no—
1121#124—861no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124—861no—
1129#124—861no—
1130#124—861no—
1131#124—861no—
1132#124—861no—
1133#124C22×D4311yescharacteristic
1134#124C22×D4311yescharacteristic
1135#124C22×D4311yescharacteristic
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151#123—861no—
1152#123—861no—
1153#123—861no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—431no—
1160C22⋊Q8—431no—
1161C22⋊Q8—431no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172C22⋊Q8—861no—
1173C22⋊Q8—861no—
1174C22⋊Q8—861no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8C22×D4311yescharacteristic
1179#121—431no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121C22×D4311yescharacteristic
1184#120—861no—
1185#120—861no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—431no—
1190C4×Q8—431no—
1191C4×Q8—431no—
1192C4×Q8—431no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—431no—
1201C4×Q8—861no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×Q8—861no—
1205C4×Q8—861no—
1206C4×Q8C22×D4311yescharacteristic
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4C22×D4311yescharacteristic
1230#117—431no—
1231#117—431no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117C22×D4311yescharacteristic
1243C2×C22⋊C4—861no—
1244C2×C22⋊C4—861no—
1245C2×C22⋊C4—861no—
1246C2×C22⋊C4—861no—
1247C2×C42—431no—
1248C2×C42—861no—
1249#107—431no—
1250#107—431no—
1251#107—431no—
1252#107—431no—
1253#106—431no—
1254#106—431no—
1255#106—431no—
1256#106—431no—
1257C4⋊C8—431no—
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8—431no—
1264C4⋊C8—431no—
1265C4⋊C8—431no—
1266C4⋊C8—431no—
1267C4⋊C8C22×D4311yescharacteristic
1268C4⋊C8C22×D4311yescharacteristic
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#103C22×D4311yescharacteristic
1280#103C22×D4311yescharacteristic
1281#103C22×D4311yescharacteristic
1282#103C22×D4311yescharacteristic
1283#103C22×D4311yescharacteristic
1284#103C22×D4311yescharacteristic
1285#102—431no—
1286#102—431no—
1287#102—431no—
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102—431no—
1295#102—431no—
1296#102—431no—
1297#102—431no—
1298#102—431no—
1299#102C22×D4311yescharacteristic
1300#102C22×D4311yescharacteristic
1301C22⋊C8—431no—
1302C22⋊C8—431no—
1303C22⋊C8C22×D4311yescharacteristic
1304C22⋊C8C22×D4311yescharacteristic
1305#97—431no—
1306#97—431no—
1307#97—431no—
1308#97—431no—
1309#97—431no—
1310#97—431no—
1311#97—431no—
1312#97C22×D4311yescharacteristic
1313C4×C8—431no—
1314C4×C8—431no—
1315C4×C8—431no—
1316C4×C8C22×D4311yescharacteristic
1317C24—861no—
1318#41—41no—
1319#41—41no—
1320#41—3442no—
1321C2×Q8—21no—
1322C2×Q8—21no—
1323C2×Q8—41no—
1324C2×Q8—41no—
1325C2×Q8—431no—
1326C2×Q8—431no—
1327C2×Q8—431no—
1328C2×Q8—431no—
1329C2×Q8—431no—
1330C2×Q8—861no—
1331C2×Q8—861no—
1332C2×Q8—861no—
1333C2×Q8—861no—
1334C2×Q8—861no—
1335C2×Q8—3442no—
1336C2×Q8—3442no—
1337C2×Q8C23×D4311yescharacteristic
1338C2×Q8C23×D4311yescharacteristic
1339C2×Q8C23×D4311yescharacteristic
1340C2×Q8C23×D4311yescharacteristic
1341C2×D4—21no—
1342C2×D4—21no—
1343C2×D4—431no—
1344C2×D4—431no—
1345C2×D4—431no—
1346C2×D4—861no—
1347C2×D4—861no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4—861no—
1351C2×D4—861no—
1352C2×D4—861no—
1353C2×D4—861no—
1354C2×D4—1721no—
1355C2×D4—1721no—
1356C2×D4C23×D4311yescharacteristic
1357C2×D4C23×D4311yescharacteristic
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—431no—
1362C22×C4—431no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—861no—
1371C22×C4—861no—
1372C22×C4—861no—
1373C22×C4—861no—
1374C22×C4C23×D4311yescharacteristic
1375Q16—41no—
1376Q16—41no—
1377Q16—41no—
1378Q16—1721no—
1379Q16—1721no—
1380Q16—1721no—
1381SD16—41no—
1382SD16—41no—
1383SD16—41no—
1384SD16—41no—
1385SD16—1721no—
1386SD16—1721no—
1387SD16—1721no—
1388SD16—1721no—
1389SD16—1721no—
1390SD16—1721no—
1391SD16—1721no—
1392SD16—1721no—
1393D8—41no—
1394D8—1721no—
1395D8—1721no—
1396D8—1721no—
1397D8—1721no—
1398D8—1721no—
1399C2×C8—431no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8C23×D4311yescharacteristic
1404C2×C8C23×D4311yescharacteristic
1405C2×C8C23×D4311yescharacteristic
1406C2×C8C23×D4311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—431no—
1415C4⋊C4—431no—
1416C4⋊C4—431no—
1417C4⋊C4—431no—
1418C4⋊C4—431no—
1419C4⋊C4—431no—
1420C4⋊C4—431no—
1421C4⋊C4—431no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4D4×D4311yescharacteristic
1452C4⋊C4D4×D4311yescharacteristic
1453C4⋊C4C23×D4311yescharacteristic
1454C4⋊C4C23×D4311yescharacteristic
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—431no—
1465C22⋊C4—431no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4D4×D4311yescharacteristic
1499C22⋊C4D4×D4311yescharacteristic
1500C42—21no—
1501C42—431no—
1502C42—431no—
1503C42—431no—
1504C42—431no—
1505C42—431no—
1506C42—431no—
1507C42—861no—
1508C42—861no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42C23×D4311yescharacteristic
1520C42C23×D4311yescharacteristic
1521C23—21no—
1522C23—21no—
1523C23—861no—
1524C23—861no—
1525C23—861no—
1526C23—3441no—
1527C23—3441no—
1528C23—1722no—
1529C23C2×D4×D4311yescharacteristic
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—21no—
1534Q8—21no—
1535Q8—21no—
1536Q8—21no—
1537Q8—21no—
1538Q8—42no—
1539Q8—81no—
1540Q8—861no—
1541Q8—861no—
1542Q8—3441no—
1543Q8—3441no—
1544Q8—3441no—
1545Q8—3441no—
1546Q8—1721no—
1547Q8—1721no—
1548Q8—1721no—
1549Q8—1721no—
1550Q8—1722no—
1551D4—21no—
1552D4—21no—
1553D4—21no—
1554D4—21no—
1555D4—42no—
1556D4—81no—
1557D4—861no—
1558D4—861no—
1559D4—861no—
1560D4—861no—
1561D4—861no—
1562D4—861no—
1563D4—3441no—
1564D4—3441no—
1565D4—3441no—
1566D4—3441no—
1567D4—3441no—
1568D4—3441no—
1569D4—1722no—
1570D4—1722no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—42no—
1580C2×C4—42no—
1581C2×C4—81no—
1582C2×C4—431no—
1583C2×C4—431no—
1584C2×C4—431no—
1585C2×C4—431no—
1586C2×C4—431no—
1587C2×C4—431no—
1588C2×C4—431no—
1589C2×C4—431no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—861no—
1595C2×C4—3441no—
1596C2×C4—3441no—
1597C2×C4—3441no—
1598C2×C4—3441no—
1599C2×C4—3441no—
1600C2×C4—3441no—
1601C2×C4—3441no—
1602C2×C4—3441no—
1603C2×C4—3441no—
1604C2×C4—1722no—
1605C2×C4—1721no—
1606C2×C4—1721no—
1607C2×C4—1722no—
1608C2×C4C2×D4×D4311yescharacteristic
1609C2×C4C2×D4×D4311yescharacteristic
1610C2×C4C2×D4×D4311yescharacteristic
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C24×D4311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—861no—
1619C8—861no—
1620C8—861no—
1621C8—861no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—1721no—
1632C22—1721no—
1633C22—1721no—
1634C22—1721no—
1635C22—1721no—
1636C22—1721no—
1637C22—1721no—
1638C22—1721no—
1639C22—1721no—
1640C22—6882no—
1641C22C22×D4×D4311yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—861no—
1654C4—861no—
1655C4—861no—
1656C4—861no—
1657C4—861no—
1658C4—861no—
1659C4—861no—
1660C4—861no—
1661C4—1721no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4#1458373411yescharacteristic
1667C4#1458373411yescharacteristic
1668C2—41no—
1669C2—81no—
1670C2—81no—
1671C2—3441no—
1672C2—3441no—
1673C2—3441no—
1674C2#1914825111yescharacteristic
1675C2#1914937311yescharacteristic
1676C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3225C2
socleC22×C43C23×D4
hypercenter#3225D43
hypocenterC43#61944
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3225

Complements

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

NH ≅ G/Ntype
1. #19149003C2semidirect
2. #19148494C2semidirect
3. #19147686C2semidirect
4. #19147683C2semidirect
5. #19147671C2semidirect
6. #19147669C2semidirect
7. #19147668C2semidirect
8. #19147667C2semidirect
9. #19147665C2semidirect
10. #19147660C2semidirect
11. #19147406C2semidirect
12. #19147404C2semidirect
13. #19147384C2semidirect
14. #19147382C2semidirect
15. #19147340C2semidirect
16. #19147339C2semidirect
17. #19147318C2semidirect
18. #19147317C2semidirect
19. #19145704C2semidirect
20. #19145695C2semidirect
21. #19145687C2semidirect
22. #19145597C2semidirect
23. #19145581C2semidirect
24. #19144825C2semidirect
25. #19144817C2semidirect
26. #19144781C2semidirect
27. #19144773C2semidirect
28. #19144750C2semidirect
29. #19144739C2semidirect
30. #19143699C2semidirect
31. C43×#3225C2semidirect
34. #14583632C22semidirect
39. #14583631C22semidirect
40. Q8×Dic86C22semidirect
41. #14583629C22semidirect
46. #14583621C22semidirect
47. #14583618C22semidirect
53. D4×Dic86C22semidirect
54. #14583564C22semidirect
77. #14583291C22semidirect
83. #14583281C22semidirect
91. #14583258C22semidirect
92. #14583249C22semidirect
99. #14583192C22semidirect
100. #14583192C22semidirect
101. #14583192C22semidirect
103. #14583187C22semidirect
105. #14583182C22semidirect
106. #14583182C22semidirect
107. #14583182C22semidirect
109. #14583177C22semidirect
117. #14583123C22semidirect
118. #14583123C22semidirect
119. #14583119C22semidirect
120. #14583119C22semidirect
121. #14583118C22semidirect
132. #14583111C22semidirect
133. #14583107C22semidirect
134. #14583106C22semidirect
135. #14583102C22semidirect
136. #14583101C22semidirect
139. #14583097C22semidirect
142. #14583092C22semidirect
151. #14583029C22semidirect
152. #14583029C22semidirect
153. #14583028C22semidirect
154. #14583028C22semidirect
155. #14583027C22semidirect
156. #14583027C22semidirect
157. #14583026C22semidirect
158. #14583026C22semidirect
160. #14583011C22semidirect
162. #14583008C22semidirect
163. #14583006C22semidirect
164. #14583006C22semidirect
165. #14583003C22semidirect
166. #14583003C22semidirect
167. #14583002C22semidirect
168. #14583002C22semidirect
170. #14583000C22semidirect
171. #14583000C22semidirect
172. #14583000C22semidirect
174. #14582996C22semidirect
175. Q16×Dic43C22semidirect
176. #14582991C22semidirect
178. SD16×Dic43C22semidirect
180. #14582984C22semidirect
190. C43×#497C22semidirect
191. C43×#495C22semidirect
192. C43×#489C22semidirect
193. C43×#487C22semidirect
194. C43×#464C22semidirect
195. C43×#463C22semidirect
196. C43×#462C22semidirect
197. C43×#461C22semidirect
849. #3225D43semidirect
918. #497C2×D43semidirect
926. #495C2×D43semidirect
934. #489C2×D43semidirect
936. #487C2×D43semidirect
966. #464C2×D43semidirect
978. #463C2×D43semidirect
981. #462C2×D43semidirect
984. #461C2×D43semidirect
1041. C43#61944semidirect

Maximal subgroups

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

subgroupindex
#191490032
#191484942
#191476862
#191476832
#191476712
#191476692
#191476682
#191476672
#191476652
#191476602
#191474062
#191474042
#191473842
#191473822
#191473402
#191473392
#191473182
#191473172
#191457042
#191456952
#191456872
#191455972
#191455812
#191448252
#191448172
#191447812
#191447732
#191447502
#191447392
#191436992
C43×#32252
#6194443