Finite Group Databasebeta

← #25979827

Subgroups — #25979827

Order 11008.

1826 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148646C211yesmaximal, characteristic, complemented
2#19147655C211yesmaximal, characteristic, complemented
3#19147512C211yesmaximal, characteristic, complemented
4#19147437C211yesmaximal, characteristic, complemented
5#19147383C211yesmaximal, characteristic, complemented
6#19147215C211yesmaximal, characteristic, complemented
7#19147059C211yesmaximal, characteristic, complemented
8#19147050C211yesmaximal, characteristic, complemented
9#19146933C211yesmaximal, characteristic, complemented
10#19146805C211yesmaximal, characteristic, complemented
11#19146745C211yesmaximal, characteristic, complemented
12#19146706C211yesmaximal, characteristic, complemented
13#19146586C211yesmaximal, characteristic, complemented
14#19146565C211yesmaximal, characteristic, complemented
15#19146227C211yesmaximal, characteristic, complemented
16#19146151C211yesmaximal, characteristic, complemented
17#19146136C211yesmaximal, characteristic, complemented
18#19145280C211yesmaximal, characteristic, complemented
19#19145228C211yesmaximal, characteristic, complemented
20#19145202C211yesmaximal, characteristic, complemented
21#19144872C211yesmaximal, characteristic, complemented
22#19144851C211yesmaximal, characteristic, complemented
23#19144824C211yesmaximal, characteristic, complemented
24#19144788C211yesmaximal, characteristic, complemented
25#19144757C211yesmaximal, characteristic, complemented
26#19144729C211yesmaximal, characteristic, complemented
27#19143582C211yesmaximal, characteristic, complemented
28#19143476C211yesmaximal, characteristic, complemented
29#19143438C211yesmaximal, characteristic, complemented
30C4×#13063350C211yesmaximal, characteristic, complemented
31C43×#3524C211yesmaximal, characteristic, complemented
32C2×#13063356C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C2×#13063345C2211yescharacteristic
35#14583622C2211yescharacteristic
36#14583606C2211yescharacteristic
37#14583606C2211yescharacteristic
38#14583587—21no—
39#14583572—21no—
40#14583572—21no—
41Q8×D172C2211yescharacteristic
42#14583557—21no—
43#14583554C2211yescharacteristic
44#14583553C2211yescharacteristic
45#14583545C2211yescharacteristic
46#14583545C2211yescharacteristic
47#14583520C2211yescharacteristic
48#14583520C2211yescharacteristic
49#14583490—21no—
50#14583490—21no—
51#14583456C2211yescharacteristic
52#14583409—21no—
53C22⋊Q8×D43—21no—
54#14583379C2211yescharacteristic
55#14583379C2211yescharacteristic
56C2×C4×D172C2211yescharacteristic
57#14583309C2211yescharacteristic, complemented
58#14583309C2211yescharacteristic, complemented
59#14583302C2211yescharacteristic, complemented
60#14583294C2211yescharacteristic, complemented
61#14583286C2211yescharacteristic
62#14583281C2211yescharacteristic
63#14583269C2211yescharacteristic, complemented
64#14583261C2211yescharacteristic
65#14583258C2211yescharacteristic, complemented
66#14583258C2211yescharacteristic, complemented
67#14583256C2211yescharacteristic
68#14583245C2211yescharacteristic, complemented
69#14583240C2211yescharacteristic
70#14583240C2211yescharacteristic
71#14583240C2211yescharacteristic, complemented
72#14583232C2211yescharacteristic, complemented
73#14583229C2211yescharacteristic, complemented
74#14583227C2211yescharacteristic
75#14583223C2211yescharacteristic
76#14583217C2211yescharacteristic
77#14583215C2211yescharacteristic, complemented
78#14583210C2211yescharacteristic
79#14583210C2211yescharacteristic, complemented
80#14583210C2211yescharacteristic, complemented
81#14583203C2211yescharacteristic, complemented
82#14583196C2211yescharacteristic
83#14583196C2211yescharacteristic
84#14583196C2211yescharacteristic
85#14583194C2211yescharacteristic, complemented
86#14583194C2211yescharacteristic, complemented
87#14583191C2211yescharacteristic, complemented
88#14583189C2211yescharacteristic, complemented
89#14583189C2211yescharacteristic, complemented
90#14583184C2211yescharacteristic, complemented
91#14583184C2211yescharacteristic, complemented
92#14583176C2211yescharacteristic
93#14583155C2211yescharacteristic
94#14583155C2211yescharacteristic
95#14583150C2211yescharacteristic
96#14583147C2211yescharacteristic
97#14583143C2211yescharacteristic
98#14583143C2211yescharacteristic
99#14583143C2211yescharacteristic, complemented
100#14583143C2211yescharacteristic, complemented
101#14583138C2211yescharacteristic, complemented
102#14583133C2211yescharacteristic
103#14583133C2211yescharacteristic
104#14583126C2211yescharacteristic, complemented
105#14583121C2211yescharacteristic
106#14583121C2211yescharacteristic
107#14583121C2211yescharacteristic
108#14583118C2211yescharacteristic, complemented
109#14583114C2211yescharacteristic
110#14583111C2211yescharacteristic
111#14583111C2211yescharacteristic
112#14583111C2211yescharacteristic
113#14583109C2211yescharacteristic, complemented
114#14583104C2211yescharacteristic, complemented
115#14583096C2211yescharacteristic, complemented
116#14583091C2211yescharacteristic
117#14583061C2211yescharacteristic
118#14583061C2211yescharacteristic
119#14583061C2211yescharacteristic, complemented
120#14583059C2211yescharacteristic
121#14583055C2211yescharacteristic, complemented
122#14583049C2211yescharacteristic
123#14583044C2211yescharacteristic
124#14583042C2211yescharacteristic
125#14583042C2211yescharacteristic
126#14583042C2211yescharacteristic
127#14583038C2211yescharacteristic
128#14583032C2211yescharacteristic
129#14583030C2211yescharacteristic, complemented
130#14583030C2211yescharacteristic, complemented
131#14583009C2211yescharacteristic
132#14583009C2211yescharacteristic
133#14583009C2211yescharacteristic
134#14583009C2211yescharacteristic
135#14583009C2211yescharacteristic
136#14583004C2211yescharacteristic, complemented
137#14583004C2211yescharacteristic, complemented
138#14583004C2211yescharacteristic, complemented
139#14583004C2211yescharacteristic, complemented
140#14582999C2211yescharacteristic, complemented
141#14582999C2211yescharacteristic, complemented
142#14582997C2211yescharacteristic
143#14582997C2211yescharacteristic
144#14582997C2211yescharacteristic
145#14582997C2211yescharacteristic
146#14582997C2211yescharacteristic
147C4×#10621885C2211yescharacteristic, complemented
148C4×#10621885C2211yescharacteristic, complemented
149C4×#10621885C2211yescharacteristic, complemented
150C4×#10621884C2211yescharacteristic
151C4×#10621884C2211yescharacteristic
152C4×#10621884C2211yescharacteristic
153C4×#10621884C2211yescharacteristic
154C4×#10621883C2211yescharacteristic, complemented
155C4×#10621883C2211yescharacteristic, complemented
156C4×#10621883C2211yescharacteristic, complemented
157C4×#10621882C2211yescharacteristic
158C4×#10621882C2211yescharacteristic
159#14582977C2211yescharacteristic
160#14582977C2211yescharacteristic
161#14582971C2211yescharacteristic
162#14582971C2211yescharacteristic
163#14582971C2211yescharacteristic, complemented
164#14582971C2211yescharacteristic, complemented
165#14582960C2211yescharacteristic, complemented
166#14582960C2211yescharacteristic, complemented
167#14582956C2211yescharacteristic
168#14582942C2211yescharacteristic
169#14582942C2211yescharacteristic, complemented
170C2×#13063256C2211yescharacteristic, complemented
171#14582903C2211yescharacteristic
172#14582900C2211yescharacteristic
173#14582900C2211yescharacteristic, complemented
174#14582898C2211yescharacteristic
175#14582893C2211yescharacteristic
176C2×#13063249C2211yescharacteristic, complemented
177#14582855C2211yescharacteristic, complemented
178#14582855C2211yescharacteristic, complemented
179C4×#10621877C2211yescharacteristic
180C43×#559—21no—
181C43×#559C2211yescharacteristic, complemented
182C43×#557C2211yescharacteristic, complemented
183C43×#555—21no—
184C43×#555C2211yescharacteristic
185C43×#553—21no—
186C43×#553C2211yescharacteristic, complemented
187C43×#552—21no—
188C43×#552C2211yescharacteristic
189C43×#550C2211yescharacteristic
190C43×#548C2211yescharacteristic
191C43×#548C2211yescharacteristic, complemented
192C43×#542—21no—
193C43×#542C2211yescharacteristic, complemented
194C43×#540—21no—
195C43×#540C2211yescharacteristic, complemented
196C43×#529—21no—
197C43×#529—21no—
198C43×#529C2211yescharacteristic
199C43×#529C2211yescharacteristic
200C43×#520C2211yescharacteristic, complemented
201C43×#519C2211yescharacteristic, complemented
202C4×#41×C43C2211yescharacteristic
203C2×#10621898C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621900—21no—
206C2×Q8×D43—21no—
207C22×D172C2311yescharacteristic
208C22×C4×D43—21no—
209#13063356—24no—
210#13063350—24no—
211#13063345—24no—
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621877C2311yescharacteristic
229C2×#10621877C2311yescharacteristic
230C2×#10621877C2311yescharacteristic
231C2×#10621877C2311yescharacteristic
232C22×C43⋊C8C2311yescharacteristic
233C22×C43⋊C8C2311yescharacteristic
234#13063325C2311yescharacteristic
235#13063325C2311yescharacteristic
236#13063325C2311yescharacteristic
237#13063325C2311yescharacteristic
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063317—21no—
243#13063316—21no—
244#13063316—21no—
245#13063313C2311yescharacteristic
246#13063313C2311yescharacteristic
247#13063311—21no—
248#13063311—21no—
249#13063310—21no—
250#13063310—21no—
251#13063309—21no—
252#13063309—21no—
253#13063307—21no—
254#13063307—21no—
255#13063307—21no—
256#13063307—21no—
257#13063305—21no—
258#13063305—21no—
259#13063305—21no—
260#13063305—21no—
261#13063304—21no—
262#13063304C2311yescharacteristic
263#13063304C2311yescharacteristic
264#13063304C2311yescharacteristic
265#13063304C2311yescharacteristic
266#13063303—21no—
267#13063303—21no—
268#13063302—21no—
269#13063302—21no—
270#13063302—21no—
271#13063302—21no—
272#13063301—21no—
273#13063299C2311yescharacteristic
274#13063299C2311yescharacteristic
275#13063298—21no—
276#13063298—21no—
277#13063296—21no—
278#13063293—21no—
279#13063293—21no—
280C4×Dic86—21no—
281C4×Dic86C2311yescharacteristic
282C4×Dic86C2311yescharacteristic
283C4×Dic86C2311yescharacteristic
284C4×Dic86C2311yescharacteristic
285C4×D172—21no—
286C4×D172—21no—
287C4×D172C2311yescharacteristic
288C4×D172C2311yescharacteristic
289C4×D172C2311yescharacteristic
290C4×D172C2311yescharacteristic
291C4×D172C2311yescharacteristic
292C4×D172C2311yescharacteristic
293D4×Dic43—21no—
294D4×Dic43—21no—
295(C22⋊D43)⋊C4—21no—
296(C22⋊D43)⋊C4—21no—
297(C22⋊D43)⋊C4—21no—
298(C22⋊D43)⋊C4—21no—
299#13063284—21no—
300#13063283—21no—
301#13063283—21no—
302#13063283—21no—
303C2×C4⋊Dic43C2311yescharacteristic
304C2×C4⋊Dic43C2311yescharacteristic
305C2×C4⋊Dic43C2311yescharacteristic
306C4⋊C4×D43—21no—
307C4⋊C4×D43—21no—
308C4⋊C4×D43—21no—
309C2×(C2×D43)⋊C4—21no—
310C22⋊C4×D43—21no—
311C22⋊C4×D43—21no—
312#13063258C2311yescharacteristic
313#13063258C2311yescharacteristic
314#13063258C2311yescharacteristic
315#13063258C2311yescharacteristic
316#13063258C2311yescharacteristic
317#13063258C2311yescharacteristic
318#13063258C2311yescharacteristic
319#13063258C2311yescharacteristic
320#13063256C2311yescharacteristic
321#13063256C2311yescharacteristic
322#13063256C2311yescharacteristic
323#13063256C2311yescharacteristic
324#13063256C2311yescharacteristic
325#13063256C2311yescharacteristic
326#13063256C2311yescharacteristic
327#13063256C2311yescharacteristic
328C4⋊(C43⋊C8)C2311yescharacteristic
329C4⋊(C43⋊C8)C2311yescharacteristic
330C4⋊(C43⋊C8)C2311yescharacteristic
331C4⋊(C43⋊C8)C2311yescharacteristic
332C4⋊(C43⋊C8)C2311yescharacteristic
333C4⋊(C43⋊C8)C2311yescharacteristic
334#13063249C2311yescharacteristic
335#13063249C2311yescharacteristic
336#13063249C2311yescharacteristic
337#13063249C2311yescharacteristic
338#13063249C2311yescharacteristic
339#13063249C2311yescharacteristic
340#13063249C2311yescharacteristic
341#13063249C2311yescharacteristic
342#13063248C2311yescharacteristic
343#13063248C2311yescharacteristic
344#13063248C2311yescharacteristic
345#13063248C2311yescharacteristic
346#13063248C2311yescharacteristic
347#13063248C2311yescharacteristic
348#13063248C2311yescharacteristic
349#13063248C2311yescharacteristic
350#13063246C2311yescharacteristic
351#13063246C2311yescharacteristic
352#13063246C2311yescharacteristic
353#13063246C2311yescharacteristic
354#13063246C2311yescharacteristic
355#13063246C2311yescharacteristic
356#13063246C2311yescharacteristic
357#13063246C2311yescharacteristic
358#13063245C2311yescharacteristic
359#13063245C2311yescharacteristic
360#13063245C2311yescharacteristic
361#13063245C2311yescharacteristic
362#13063245C2311yescharacteristic
363#13063245C2311yescharacteristic
364#13063245C2311yescharacteristic
365#13063245C2311yescharacteristic
366C22⋊(C43⋊C8)C2311yescharacteristic
367C22⋊(C43⋊C8)C2311yescharacteristic
368C22⋊(C43⋊C8)C2311yescharacteristic
369C22⋊(C43⋊C8)C2311yescharacteristic
370C22⋊(C43⋊C8)C2311yescharacteristic
371C22⋊(C43⋊C8)C2311yescharacteristic
372#13063236C2311yescharacteristic
373#13063236C2311yescharacteristic
374#13063236C2311yescharacteristic
375#13063236C2311yescharacteristic
376#13063236C2311yescharacteristic
377#13063236C2311yescharacteristic
378C4×C43⋊C8C2311yescharacteristic
379C4×C43⋊C8C2311yescharacteristic
380C4×C43⋊C8C2311yescharacteristic
381C4×C43⋊C8C2311yescharacteristic
382C2×#41×C43C2311yescharacteristic
383C2×#41×C43C2311yescharacteristic
384C22×Q8×C43C2311yescharacteristic
385C4⋊Q8×C43—21no—
386C4⋊Q8×C43C2311yescharacteristic
387#127×C43—21no—
388#127×C43C2311yescharacteristic
389#126×C43—21no—
390#126×C43—21no—
391#126×C43—21no—
392#126×C43—21no—
393#126×C43D411yescharacteristic
394#126×C43D411yescharacteristic
395#125×C43—21no—
396#125×C43—21no—
397#125×C43—21no—
398#125×C43D411yescharacteristic
399#125×C43C2311yescharacteristic
400#125×C43C2311yescharacteristic
401#124×C43—21no—
402#124×C43—21no—
403#124×C43—21no—
404#124×C43—21no—
405#124×C43—21no—
406#124×C43—21no—
407#124×C43D411yescharacteristic
408#124×C43C2311yescharacteristic
409#124×C43C2311yescharacteristic
410#123×C43—21no—
411#123×C43—21no—
412#123×C43—21no—
413#123×C43—21no—
414#123×C43—21no—
415#123×C43—21no—
416#123×C43—21no—
417#123×C43—21no—
418#123×C43D411yescharacteristic
419#123×C43D411yescharacteristic
420C22⋊Q8×C43—21no—
421C22⋊Q8×C43—21no—
422C22⋊Q8×C43—21no—
423C22⋊Q8×C43D411yescharacteristic
424C22⋊Q8×C43C2311yescharacteristic
425C22⋊Q8×C43C2311yescharacteristic
426#121×C43—21no—
427#121×C43—21no—
428#121×C43—21no—
429#121×C43—21no—
430#121×C43—21no—
431#121×C43—21no—
432#121×C43—21no—
433#121×C43—21no—
434#121×C43D411yescharacteristic
435#121×C43C2311yescharacteristic
436#121×C43C2311yescharacteristic
437#121×C43C2311yescharacteristic
438#121×C43C2311yescharacteristic
439C4×Q8×C43—21no—
440C4×Q8×C43—21no—
441C4×Q8×C43—21no—
442C4×Q8×C43C2311yescharacteristic
443C4×Q8×C43C2311yescharacteristic
444C4×Q8×C43C2311yescharacteristic
445C4×Q8×C43C2311yescharacteristic
446C4×Q8×C43C2311yescharacteristic
447C4×Q8×C43C2311yescharacteristic
448C4×Q8×C43C2311yescharacteristic
449C4×D4×C43—21no—
450C4×D4×C43—21no—
451C4×D4×C43—21no—
452C4×D4×C43—21no—
453C4×D4×C43—21no—
454C4×D4×C43—21no—
455C4×D4×C43—21no—
456C4×D4×C43—21no—
457C4×D4×C43—21no—
458C4×D4×C43—21no—
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466#117×C43—21no—
467#117×C43—21no—
468#117×C43—21no—
469#117×C43—21no—
470#117×C43—21no—
471#117×C43—21no—
472#117×C43—21no—
473#117×C43C2311yescharacteristic
474#117×C43C2311yescharacteristic
475#117×C43C2311yescharacteristic
476#117×C43C2311yescharacteristic
477C2×C4⋊C4×C43—21no—
478C2×C4⋊C4×C43C2311yescharacteristic
479C2×C42×C43—21no—
480C2×C42×C43C2311yescharacteristic
481C23×D43—21no—
482#41×C43—22no—
483#41×C43—22no—
484#41×C43—41no—
485#41×C43—41no—
486C2×Q8×C43—21no—
487C2×Q8×C43—21no—
488C2×Q8×C43—22no—
489C2×Q8×C43—41no—
490C2×Q8×C43C2×D411yescharacteristic
491C2×Q8×C43C2411yescharacteristic
492C2×Q8×C43C2411yescharacteristic
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43C2×D411yescharacteristic
502C2×D4×C43C2×D411yescharacteristic
503C2×D4×C43C2×D411yescharacteristic
504C2×D4×C43C2411yescharacteristic
505C2×D4×C43C2411yescharacteristic
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43—21no—
510C22×C4×C43—21no—
511C22×C4×C43—21no—
512C22×C4×C43—21no—
513C22×C4×C43—21no—
514C22×C4×C43C2×D411yescharacteristic
515C22×C4×C43C2×D411yescharacteristic
516C22×C4×C43C2411yescharacteristic
517C22×C4×C43C2411yescharacteristic
518C22×C4×C43C2411yescharacteristic
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43—21no—
526Q8×D43—82no—
527#10621900—82no—
528#10621898—22no—
529#10621898—22no—
530#10621898—41no—
531#10621898—41no—
532C2×D172—21no—
533C2×D172—22no—
534C2×D172—41no—
535C2×D172C2411yescharacteristic
536C2×D172C2411yescharacteristic
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×C4×D43—21no—
545C2×C4×D43—82no—
546C2×Dic86—21no—
547C2×Dic86—21no—
548C2×Dic86—21no—
549C2×Dic86C2411yescharacteristic
550C2×Dic86C2411yescharacteristic
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43C2×D411yescharacteristic
566C4⋊C4×C43C2×D411yescharacteristic
567C4⋊C4×C43C2×D411yescharacteristic
568C4⋊C4×C43C2×D411yescharacteristic
569C4⋊C4×C43C2×D411yescharacteristic
570C4⋊C4×C43C2×D411yescharacteristic
571C4⋊C4×C43C2×D411yescharacteristic
572C4⋊C4×C43C2×D411yescharacteristic
573C4⋊C4×C43C2×D411yescharacteristic
574C4⋊C4×C43C2×D411yescharacteristic
575C4⋊C4×C43C2411yescharacteristic
576C4⋊C4×C43C2411yescharacteristic
577C4⋊C4×C43C2411yescharacteristic
578C4⋊C4×C43C2411yescharacteristic
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43C2×D411yescharacteristic
596C22⋊C4×C43C2×D411yescharacteristic
597C22⋊C4×C43C2×D411yescharacteristic
598C22⋊C4×C43C2×D411yescharacteristic
599C22⋊C4×C43C2×D411yescharacteristic
600C22⋊C4×C43C2×D411yescharacteristic
601C22⋊C4×C43C2×D411yescharacteristic
602C22⋊C4×C43C2×D411yescharacteristic
603C22⋊C4×C43C2×D411yescharacteristic
604C22⋊C4×C43C2×D411yescharacteristic
605C42×C43—21no—
606C42×C43—21no—
607C42×C43—21no—
608C42×C43—21no—
609C42×C43—21no—
610C42×C43—21no—
611C42×C43—21no—
612C42×C43—21no—
613C42×C43C2×D411yescharacteristic
614C42×C43C2×D411yescharacteristic
615C42×C43C2411yescharacteristic
616C42×C43C2411yescharacteristic
617C42×C43C2411yescharacteristic
618C42×C43C2411yescharacteristic
619C22⋊Dic43—21no—
620C22⋊Dic43—21no—
621C22⋊Dic43—21no—
622C22⋊Dic43—21no—
623#10621885—22no—
624#10621885—22no—
625#10621885—22no—
626#10621885—41no—
627#10621884—22no—
628#10621884—22no—
629#10621884—41no—
630#10621884#4114yescomplemented
631#10621883—22no—
632#10621883—41no—
633#10621883—41no—
634#10621883—41no—
635#10621882—22no—
636#10621882—22no—
637#10621882—22no—
638#10621882—41no—
639(C2×D43)⋊C4—21no—
640(C2×D43)⋊C4—21no—
641(C2×D43)⋊C4—21no—
642(C2×D43)⋊C4—21no—
643(C2×D43)⋊C4—21no—
644(C2×D43)⋊C4—21no—
645(C2×D43)⋊C4—21no—
646(C2×D43)⋊C4—21no—
647(C2×D43)⋊C4—21no—
648(C2×D43)⋊C4—21no—
649(C2×D43)⋊C4—21no—
650(C2×D43)⋊C4—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⋊Dic43C2411yescharacteristic
660C4⋊Dic43C2411yescharacteristic
661C4⋊Dic43C2411yescharacteristic
662C4⋊Dic43C2411yescharacteristic
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4—21no—
668Dic43⋊C4—21no—
669Dic43⋊C4—21no—
670Dic43⋊C4—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675#10621877—22no—
676#10621877—22no—
677#10621877—41no—
678#10621877—41no—
679C2×C43⋊C8—22no—
680C2×C43⋊C8—41no—
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687C2×C43⋊C8C2411yescharacteristic
688C2×C43⋊C8C2411yescharacteristic
689C23×C43—21no—
690C23×C43—21no—
691C23×C43C22×D411yescharacteristic
692C23×C43C22×D411yescharacteristic
693C23×C43C22×D411yescharacteristic
694C22×D43—21no—
695C22×D43—21no—
696C22×D43—42no—
697C22×D43—42no—
698C22×D43—81no—
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—21no—
702Q8×C43—41no—
703Q8×C43—42no—
704Q8×C43—81no—
705Q8×C43C2×#4112yes—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—41no—
711D4×C43—41no—
712D4×C43—41no—
713D4×C43—42no—
714D4×C43—42no—
715D4×C43—81no—
716D4×C43—81no—
717D4×C43—81no—
718D4×C43—81no—
719D4×C43—81no—
720D4×C43—81no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—41no—
734C2×C4×C43—41no—
735C2×C4×C43—42no—
736C2×C4×C43—42no—
737C2×C4×C43—42no—
738C2×C4×C43—81no—
739C2×C4×C43—81no—
740C2×C4×C43—81no—
741C2×C4×C43—81no—
742C2×C4×C43—81no—
743C2×C4×C43C22×D411yescharacteristic
744C2×C4×C43C22×D411yescharacteristic
745C2×C4×C43C22×D411yescharacteristic
746C2×C4×C43C22×D411yescharacteristic
747C2×C4×C43C22×D411yescharacteristic
748C2×C4×C43C22×D411yescharacteristic
749C2×C4×C43C22×D411yescharacteristic
750C2×C4×C43C22×D411yescharacteristic
751C2×C4×C43C22×D411yescharacteristic
752C2×C4×C43C22×D411yescharacteristic
753C2×C4×C43C22×D411yescharacteristic
754C2×C4×C43C2511yescharacteristic
755C22⋊D43—42no—
756C22⋊D43—42no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—81no—
766C2×Dic43—81no—
767C2×Dic43—81no—
768D172—21no—
769D172—21no—
770D172—21no—
771D172—42no—
772D172C2×#4112yes—
773C4×D43—42no—
774C4×D43—42no—
775C4×D43—42no—
776C4×D43—42no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781Dic86—21no—
782Dic86—21no—
783Dic86—21no—
784Dic86—21no—
785Dic86—42no—
786Dic86—81no—
787Dic86—81no—
788C43⋊C8—21no—
789C43⋊C8—21no—
790C43⋊C8—21no—
791C43⋊C8—21no—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8C2×#4112yes—
796#61508—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—21no—
802C22×C43—21no—
803C22×C43—21no—
804C22×C43—21no—
805C22×C43—21no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43C23×D411yescharacteristic
813C2×D43—22no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—84no—
820C4×C43—21no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—21no—
826C4×C43—21no—
827C4×C43—21no—
828C4×C43—21no—
829C4×C43—21no—
830C4×C43—21no—
831C4×C43—22no—
832C4×C43—41no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43C22×#4111yescharacteristic
838C4×C43#58511yescharacteristic
839Dic43—41no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845#3524D4311yescharacteristic, complemented
846#3520—431no—
847#3401—431no—
848#3386—431no—
849#3377—431no—
850#3373—431no—
851#3357—431no—
852#3345—431no—
853#3344—431no—
854#3333—431no—
855#3323—431no—
856#3319—431no—
857#3316—431no—
858#3308—431no—
859#3307—431no—
860#3275—431no—
861#3269—431no—
862#3268—431no—
863#3179—431no—
864#3175—431no—
865#3172—431no—
866#3125—431no—
867#3124—431no—
868#3121—431no—
869#3119—431no—
870#3116—431no—
871#3114—431no—
872#2967—431no—
873#2952—431no—
874#2947—431no—
875C4×AGL(1,ℤ/8)—431no—
876C2×C43—41no—
877C2×C43—41no—
878C2×C43—41no—
879C2×C43—81no—
880C2×C43—81no—
881C2×C43D4×#4111yescharacteristic
882C2×C43#358511yescharacteristic
883C2×C43#358611yescharacteristic
884D43—42no—
885D43—81no—
886C2×#137—431no—
887C2×AGL(1,ℤ/8)—431no—
888C2×#135—431no—
889#559—21no—
890#559C2×D4311yescharacteristic, complemented
891#557C2×D4311yescharacteristic, complemented
892#556—431no—
893#555—21no—
894#555C2×D4311yescharacteristic
895#554—431no—
896#554—431no—
897#553—21no—
898#553C2×D4311yescharacteristic, complemented
899#552—21no—
900#552—861no—
901#552C2×D4311yescharacteristic
902#551—861no—
903#551—861no—
904#550C2×D4311yescharacteristic
905D4×Q8—431no—
906#548—861no—
907#548C2×D4311yescharacteristic
908#548C2×D4311yescharacteristic, complemented
909#547—431no—
910#547—431no—
911#546—431no—
912#546—431no—
913#542—21no—
914#542—431no—
915#542—431no—
916#542C2×D4311yescharacteristic, complemented
917#540—21no—
918#540C2×D4311yescharacteristic, complemented
919#539—861no—
920#539—861no—
921#533—431no—
922#529—21no—
923#529—21no—
924#529C2×D4311yescharacteristic
925#529C2×D4311yescharacteristic
926#525—861no—
927C2×C22⋊Q8—861no—
928#520—431no—
929#520—431no—
930#520C2×D4311yescharacteristic, complemented
931#519C2×D4311yescharacteristic, complemented
932C4×#41C2×D4311yescharacteristic
933C2×C4×D4—431no—
934#501—431no—
935#501—431no—
936#500—431no—
937#497—431no—
938#496—431no—
939#495—431no—
940#491—431no—
941#489—431no—
942#489—431no—
943#489—431no—
944#488—431no—
945#486—431no—
946#485—431no—
947#485—431no—
948#485—431no—
949#484—431no—
950#483—431no—
951#483—431no—
952#482—431no—
953#481—431no—
954#481—431no—
955#480—431no—
956#480—431no—
957#480—431no—
958#479—431no—
959#478—431no—
960#478—431no—
961#478—431no—
962#477—431no—
963#477—431no—
964#477—431no—
965#476—431no—
966#476—431no—
967#475—431no—
968#475—431no—
969#474—431no—
970#470—431no—
971#470—431no—
972#469—431no—
973#468—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#467—431no—
979#466—431no—
980#466—431no—
981#465—431no—
982#464—431no—
983#464—431no—
984#464—431no—
985#464—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#462—431no—
991#461—431no—
992#460—431no—
993#459—431no—
994#452—431no—
995#452—431no—
996#452—431no—
997#452—431no—
998#451—431no—
999#450—431no—
1000#449—431no—
1001#449—431no—
1002#449—431no—
1003#449—431no—
1004#448—431no—
1005#447—431no—
1006#446—431no—
1007#446—431no—
1008#442—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442—431no—
1013#441—431no—
1014#441—431no—
1015#441—431no—
1016#441—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024C4×Q16—431no—
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×SD16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16—431no—
1034C4×D8—431no—
1035C4×D8—431no—
1036#436—431no—
1037#436—431no—
1038#435—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#433—431no—
1043#433—431no—
1044#432—431no—
1045#428—431no—
1046#428—431no—
1047C2×#106—431no—
1048#418—431no—
1049#417—431no—
1050#417—431no—
1051#417—431no—
1052#416—431no—
1053C2×#103—431no—
1054#405—431no—
1055#405—431no—
1056C4×M16—431no—
1057C43#6150811yescharacteristic, complemented, Sylow
1058C2×#41—431no—
1059C2×#41—431no—
1060C2×#41—861no—
1061C2×#41C22×D4311yescharacteristic
1062C2×#41C22×D4311yescharacteristic
1063C22×Q8—861no—
1064C22×Q8C22×D4311yescharacteristic
1065C22×D4—431no—
1066C23×C4—861no—
1067#137—864no—
1068AGL(1,ℤ/8)—864no—
1069#135—864no—
1070C2×Q16—431no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×Q16—431no—
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×D8—431no—
1083C2×D8—431no—
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×M16—431no—
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16—431no—
1090C22×C8—431no—
1091C22×C8—431no—
1092C4⋊Q8—21no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—431no—
1097C4⋊Q8C22×D4311yescharacteristic
1098#127—21no—
1099#127C22×D4311yescharacteristic
1100#126—21no—
1101#126—21no—
1102#126—21no—
1103#126—21no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126C22⋊D4311yescharacteristic
1109#126C22⋊D4311yescharacteristic
1110#125—21no—
1111#125—21no—
1112#125—21no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#125C22⋊D4311yescharacteristic
1117#125C22×D4311yescharacteristic
1118#125C22×D4311yescharacteristic
1119#124—21no—
1120#124—21no—
1121#124—21no—
1122#124—21no—
1123#124—21no—
1124#124—21no—
1125#124—431no—
1126#124—431no—
1127#124—861no—
1128#124—861no—
1129#124C22⋊D4311yescharacteristic
1130#124C22×D4311yescharacteristic
1131#124C22×D4311yescharacteristic
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
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#123C22⋊D4311yescharacteristic
1149#123C22⋊D4311yescharacteristic
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8C22⋊D4311yescharacteristic
1170C22⋊Q8C22×D4311yescharacteristic
1171C22⋊Q8C22×D4311yescharacteristic
1172#121—21no—
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121—431no—
1181#121—431no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121C22⋊D4311yescharacteristic
1186#121C22×D4311yescharacteristic
1187#121C22×D4311yescharacteristic
1188#121C22×D4311yescharacteristic
1189#121C22×D4311yescharacteristic
1190#120—861no—
1191#120—861no—
1192C4×Q8—21no—
1193C4×Q8—21no—
1194C4×Q8—21no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—861no—
1200C4×Q8C22×D4311yescharacteristic
1201C4×Q8C22×D4311yescharacteristic
1202C4×Q8C22×D4311yescharacteristic
1203C4×Q8C22×D4311yescharacteristic
1204C4×Q8C22×D4311yescharacteristic
1205C4×Q8C22×D4311yescharacteristic
1206C4×Q8C22×D4311yescharacteristic
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—431no—
1218C4×D4—431no—
1219C4×D4—431no—
1220C4×D4—431no—
1221C4×D4—431no—
1222C4×D4—431no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4C22×D4311yescharacteristic
1232C4×D4C22×D4311yescharacteristic
1233C4×D4C22×D4311yescharacteristic
1234C4×D4C22×D4311yescharacteristic
1235C4×D4C22×D4311yescharacteristic
1236C4×D4C22×D4311yescharacteristic
1237C4×D4C22×D4311yescharacteristic
1238#117—21no—
1239#117—21no—
1240#117—21no—
1241#117—21no—
1242#117—21no—
1243#117—21no—
1244#117—21no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117C22×D4311yescharacteristic
1250#117C22×D4311yescharacteristic
1251#117C22×D4311yescharacteristic
1252#117C22×D4311yescharacteristic
1253C2×C4⋊C4—21no—
1254C2×C4⋊C4—431no—
1255C2×C4⋊C4—431no—
1256C2×C4⋊C4—431no—
1257C2×C4⋊C4—861no—
1258C2×C4⋊C4—861no—
1259C2×C4⋊C4—861no—
1260C2×C4⋊C4C22×D4311yescharacteristic
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C42—21no—
1265C2×C42C22×D4311yescharacteristic
1266#107—431no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#106—431no—
1275#106—431no—
1276#106—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106—431no—
1282C4⋊C8—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103—431no—
1302#103—431no—
1303#103—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102—431no—
1320C22⋊C8—431no—
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8—431no—
1326#97—431no—
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97—431no—
1332C4×C8—431no—
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C24—861no—
1337#41—22no—
1338#41—22no—
1339#41—41no—
1340#41—41no—
1341#41—862no—
1342#41—862no—
1343#41—3442no—
1344#41—1721no—
1345#41—1721no—
1346C2×Q8—21no—
1347C2×Q8—21no—
1348C2×Q8—22no—
1349C2×Q8—41no—
1350C2×Q8—431no—
1351C2×Q8—431no—
1352C2×Q8—861no—
1353C2×Q8—861no—
1354C2×Q8—861no—
1355C2×Q8—3442no—
1356C2×Q8C2×C22⋊D4311yescharacteristic
1357C2×Q8C23×D4311yescharacteristic
1358C2×Q8C23×D4311yescharacteristic
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—431no—
1368C2×D4—431no—
1369C2×D4—862no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—1721no—
1376C2×D4C2×C22⋊D4311yescharacteristic
1377C2×D4C2×C22⋊D4311yescharacteristic
1378C2×D4C2×C22⋊D4311yescharacteristic
1379C2×D4C23×D4311yescharacteristic
1380C2×D4C23×D4311yescharacteristic
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—3442no—
1401C22×C4C2×C22⋊D4311yescharacteristic
1402C22×C4C2×C22⋊D4311yescharacteristic
1403C22×C4C23×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405C22×C4C23×D4311yescharacteristic
1406Q16—862no—
1407Q16—862no—
1408Q16—862no—
1409Q16—1721no—
1410SD16—434no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—1721no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—862no—
1419D8—862no—
1420D8—862no—
1421D8—1721no—
1422M16—862no—
1423M16—862no—
1424M16—1721no—
1425M16—1721no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—431no—
1430C2×C8—431no—
1431C2×C8—431no—
1432C2×C8—431no—
1433C2×C8—431no—
1434C2×C8—862no—
1435C2×C8—1721no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4C2×C22⋊D4311yescharacteristic
1471C4⋊C4C2×C22⋊D4311yescharacteristic
1472C4⋊C4C2×C22⋊D4311yescharacteristic
1473C4⋊C4C2×C22⋊D4311yescharacteristic
1474C4⋊C4C2×C22⋊D4311yescharacteristic
1475C4⋊C4C2×C22⋊D4311yescharacteristic
1476C4⋊C4C2×C22⋊D4311yescharacteristic
1477C4⋊C4C2×C22⋊D4311yescharacteristic
1478C4⋊C4C2×C22⋊D4311yescharacteristic
1479C4⋊C4C2×C22⋊D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C4⋊C4C23×D4311yescharacteristic
1482C4⋊C4C23×D4311yescharacteristic
1483C4⋊C4C23×D4311yescharacteristic
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4C2×C22⋊D4311yescharacteristic
1517C22⋊C4C2×C22⋊D4311yescharacteristic
1518C22⋊C4C2×C22⋊D4311yescharacteristic
1519C22⋊C4C2×C22⋊D4311yescharacteristic
1520C22⋊C4C2×C22⋊D4311yescharacteristic
1521C22⋊C4C2×C22⋊D4311yescharacteristic
1522C22⋊C4C2×C22⋊D4311yescharacteristic
1523C22⋊C4C2×C22⋊D4311yescharacteristic
1524C22⋊C4C2×C22⋊D4311yescharacteristic
1525C22⋊C4C2×C22⋊D4311yescharacteristic
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—21no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42C2×C22⋊D4311yescharacteristic
1539C42C2×C22⋊D4311yescharacteristic
1540C42C23×D4311yescharacteristic
1541C42C23×D4311yescharacteristic
1542C42C23×D4311yescharacteristic
1543C42C23×D4311yescharacteristic
1544C23—21no—
1545C23—21no—
1546C23—861no—
1547C23—861no—
1548C23—3441no—
1549C23—1722no—
1550C23—1722no—
1551C23C22×C22⋊D4311yescharacteristic
1552C23C22×C22⋊D4311yescharacteristic
1553C23C22×C22⋊D4311yescharacteristic
1554Q8—21no—
1555Q8—21no—
1556Q8—21no—
1557Q8—41no—
1558Q8—42no—
1559Q8—81no—
1560Q8—861no—
1561Q8—861no—
1562Q8—861no—
1563Q8—861no—
1564Q8—3441no—
1565Q8—3441no—
1566Q8—1722no—
1567Q8#41×D4312yes—
1568D4—21no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—41no—
1573D4—41no—
1574D4—41no—
1575D4—42no—
1576D4—42no—
1577D4—81no—
1578D4—81no—
1579D4—81no—
1580D4—81no—
1581D4—81no—
1582D4—81no—
1583D4—432no—
1584D4—861no—
1585D4—861no—
1586D4—861no—
1587D4—3441no—
1588D4—3441no—
1589D4—1722no—
1590D4—1722no—
1591D4—1722no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—42no—
1607C2×C4—42no—
1608C2×C4—42no—
1609C2×C4—81no—
1610C2×C4—81no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—3441no—
1621C2×C4—3441no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—1722no—
1628C2×C4—1722no—
1629C2×C4—1722no—
1630C2×C4—1722no—
1631C2×C4C22×C22⋊D4311yescharacteristic
1632C2×C4C22×C22⋊D4311yescharacteristic
1633C2×C4C22×C22⋊D4311yescharacteristic
1634C2×C4C22×C22⋊D4311yescharacteristic
1635C2×C4C22×C22⋊D4311yescharacteristic
1636C2×C4C22×C22⋊D4311yescharacteristic
1637C2×C4C22×C22⋊D4311yescharacteristic
1638C2×C4C22×C22⋊D4311yescharacteristic
1639C2×C4C22×C22⋊D4311yescharacteristic
1640C2×C4C22×C22⋊D4311yescharacteristic
1641C2×C4C22×C22⋊D4311yescharacteristic
1642C2×C4C24×D4311yescharacteristic
1643C8—432no—
1644C8—861no—
1645C8—861no—
1646C8—861no—
1647C8—861no—
1648C8—861no—
1649C8—861no—
1650C8—861no—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—862no—
1667C22—3444no—
1668C22—1721no—
1669C22—1721no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22C23×C22⋊D4311yescharacteristic
1674C4—21no—
1675C4—21no—
1676C4—21no—
1677C4—22no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—21no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—1721no—
1692C4—1721no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4C2×#41×D4311yescharacteristic
1698C4#1458373511yescharacteristic
1699C2—41no—
1700C2—41no—
1701C2—41no—
1702C2—81no—
1703C2—81no—
1704C2—3441no—
1705C2—1722no—
1706C2#41×C22⋊D4311yescharacteristic
1707C2#1914937411yescharacteristic
1708C2#1914938111yescharacteristic
subgroupG/H
centerC22C23×C22⋊D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3524C2
socleC22×C43C23×D4
hypercenter#3524D43
hypocenterC43#61508
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #529 ◁ #3524

Complements

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

NH ≅ G/Ntype
1. #19148646C2semidirect
2. #19147655C2semidirect
3. #19147512C2semidirect
4. #19147437C2semidirect
5. #19147383C2semidirect
6. #19147215C2semidirect
7. #19147059C2semidirect
8. #19147050C2semidirect
9. #19146933C2semidirect
10. #19146805C2semidirect
11. #19146745C2semidirect
12. #19146706C2semidirect
13. #19146586C2semidirect
14. #19146565C2semidirect
15. #19146227C2semidirect
16. #19146151C2semidirect
17. #19146136C2semidirect
18. #19145280C2semidirect
19. #19145228C2semidirect
20. #19145202C2semidirect
21. #19144872C2semidirect
22. #19144851C2semidirect
23. #19144824C2semidirect
24. #19144788C2semidirect
25. #19144757C2semidirect
26. #19144729C2semidirect
27. #19143582C2semidirect
28. #19143476C2semidirect
29. #19143438C2semidirect
30. C4×#13063350C2semidirect
31. C43×#3524C2semidirect
57. #14583309C22semidirect
58. #14583309C22semidirect
59. #14583302C22semidirect
60. #14583294C22semidirect
63. #14583269C22semidirect
65. #14583258C22semidirect
66. #14583258C22semidirect
68. #14583245C22semidirect
71. #14583240C22semidirect
72. #14583232C22semidirect
73. #14583229C22semidirect
77. #14583215C22semidirect
79. #14583210C22semidirect
80. #14583210C22semidirect
81. #14583203C22semidirect
85. #14583194C22semidirect
86. #14583194C22semidirect
87. #14583191C22semidirect
88. #14583189C22semidirect
89. #14583189C22semidirect
90. #14583184C22semidirect
91. #14583184C22semidirect
99. #14583143C22semidirect
100. #14583143C22semidirect
101. #14583138C22semidirect
104. #14583126C22semidirect
108. #14583118C22semidirect
113. #14583109C22semidirect
114. #14583104C22semidirect
115. #14583096C22semidirect
119. #14583061C22semidirect
121. #14583055C22semidirect
129. #14583030C22semidirect
130. #14583030C22semidirect
136. #14583004C22semidirect
137. #14583004C22semidirect
138. #14583004C22semidirect
139. #14583004C22semidirect
140. #14582999C22semidirect
141. #14582999C22semidirect
147. C4×#10621885C22semidirect
148. C4×#10621885C22semidirect
149. C4×#10621885C22semidirect
154. C4×#10621883C22semidirect
155. C4×#10621883C22semidirect
156. C4×#10621883C22semidirect
163. #14582971C22semidirect
164. #14582971C22semidirect
165. #14582960C22semidirect
166. #14582960C22semidirect
169. #14582942C22semidirect
170. C2×#13063256C22semidirect
173. #14582900C22semidirect
176. C2×#13063249C22semidirect
177. #14582855C22semidirect
178. #14582855C22semidirect
181. C43×#559C22semidirect
182. C43×#557C22semidirect
186. C43×#553C22semidirect
191. C43×#548C22semidirect
193. C43×#542C22semidirect
195. C43×#540C22semidirect
200. C43×#520C22semidirect
201. C43×#519C22semidirect
630. #10621884#41semidirect
845. #3524D43semidirect
890. #559C2×D43semidirect
891. #557C2×D43semidirect
898. #553C2×D43semidirect
908. #548C2×D43semidirect
916. #542C2×D43semidirect
918. #540C2×D43semidirect
930. #520C2×D43semidirect
931. #519C2×D43semidirect
1057. C43#61508semidirect

Maximal subgroups

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

subgroupindex
#191486462
#191476552
#191475122
#191474372
#191473832
#191472152
#191470592
#191470502
#191469332
#191468052
#191467452
#191467062
#191465862
#191465652
#191462272
#191461512
#191461362
#191452802
#191452282
#191452022
#191448722
#191448512
#191448242
#191447882
#191447572
#191447292
#191435822
#191434762
#191434382
C4×#130633502
C43×#35242
#6150843