Finite Group Databasebeta

← #25979672

Subgroups — #25979672

Order 11008.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148539C211yesmaximal, characteristic, complemented
2#19147661C211yesmaximal, characteristic, complemented
3#19147501C211yesmaximal, characteristic, complemented
4#19147416C211yesmaximal, characteristic, complemented
5#19147409C211yesmaximal, characteristic, complemented
6#19147173C211yesmaximal, characteristic, complemented
7#19147119C211yesmaximal, characteristic, complemented
8#19147095C211yesmaximal, characteristic, complemented
9#19146863C211yesmaximal, characteristic, complemented
10#19146820C211yesmaximal, characteristic, complemented
11#19146766C211yesmaximal, characteristic, complemented
12#19146745C211yesmaximal, characteristic, complemented
13#19146625C211yesmaximal, characteristic, complemented
14#19146586C211yesmaximal, characteristic, complemented
15#19146227C211yesmaximal, characteristic, complemented
16#19146106C211yesmaximal, characteristic, complemented
17#19146091C211yesmaximal, characteristic, complemented
18#19145272C211yesmaximal, characteristic, complemented
19#19145228C211yesmaximal, characteristic, complemented
20#19145195C211yesmaximal, characteristic, complemented
21#19144886C211yesmaximal, characteristic, complemented
22#19144851C211yesmaximal, characteristic, complemented
23#19144824C211yesmaximal, characteristic, complemented
24#19144773C211yesmaximal, characteristic, complemented
25#19144704C211yesmaximal, characteristic, complemented
26#19144690C211yesmaximal, characteristic, complemented
27#19143582C211yesmaximal, characteristic, complemented
28#19143454C211yesmaximal, characteristic, complemented
29#19143438C211yesmaximal, characteristic, complemented
30C4×#13063350C211yesmaximal, characteristic, complemented
31C43×#3518C211yesmaximal, characteristic, complemented
32C2×#13063356C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C22×#10621884C2211yescharacteristic
35#14583634C2211yescharacteristic
36#14583609C2211yescharacteristic
37#14583600—21no—
38#14583595C2211yescharacteristic
39#14583589C2211yescharacteristic
40#14583576—21no—
41#14583574—21no—
42#14583553C2211yescharacteristic
43#14583545C2211yescharacteristic
44#14583545C2211yescharacteristic
45#14583538—21no—
46D4×D172C2211yescharacteristic
47#14583520C2211yescharacteristic
48#14583504C2211yescharacteristic
49#14583497—21no—
50#14583483—21no—
51#14583433C2211yescharacteristic
52#14583407—21no—
53#123×D43—21no—
54#14583379C2211yescharacteristic
55#14583373C2211yescharacteristic
56C2×C4×D172C2211yescharacteristic
57#14583305C2211yescharacteristic, complemented
58#14583305C2211yescharacteristic, complemented
59#14583302C2211yescharacteristic, complemented
60#14583291C2211yescharacteristic, complemented
61#14583289C2211yescharacteristic
62#14583281C2211yescharacteristic, complemented
63#14583267C2211yescharacteristic, complemented
64#14583261C2211yescharacteristic, complemented
65#14583261C2211yescharacteristic, complemented
66#14583258C2211yescharacteristic, complemented
67#14583253C2211yescharacteristic, complemented
68#14583247C2211yescharacteristic
69#14583240C2211yescharacteristic, complemented
70#14583240C2211yescharacteristic, complemented
71#14583237C2211yescharacteristic, complemented
72#14583232C2211yescharacteristic, complemented
73#14583232C2211yescharacteristic, complemented
74#14583232C2211yescharacteristic, complemented
75#14583223C2211yescharacteristic
76#14583223C2211yescharacteristic
77#14583223C2211yescharacteristic, complemented
78#14583223C2211yescharacteristic, complemented
79#14583220C2211yescharacteristic, complemented
80#14583210C2211yescharacteristic, complemented
81#14583206C2211yescharacteristic, complemented
82#14583206C2211yescharacteristic, complemented
83#14583206C2211yescharacteristic, complemented
84#14583199C2211yescharacteristic, complemented
85#14583194C2211yescharacteristic, complemented
86#14583191C2211yescharacteristic, complemented
87#14583186C2211yescharacteristic
88#14583184C2211yescharacteristic, complemented
89#14583176C2211yescharacteristic
90#14583176C2211yescharacteristic
91#14583176C2211yescharacteristic, complemented
92#14583176C2211yescharacteristic, complemented
93#14583155C2211yescharacteristic, complemented
94#14583155C2211yescharacteristic, complemented
95#14583150C2211yescharacteristic, complemented
96#14583147C2211yescharacteristic
97#14583147C2211yescharacteristic
98#14583147C2211yescharacteristic
99#14583147C2211yescharacteristic, complemented
100#14583143C2211yescharacteristic, complemented
101#14583138C2211yescharacteristic, complemented
102#14583133C2211yescharacteristic
103#14583133C2211yescharacteristic, complemented
104#14583130C2211yescharacteristic, complemented
105#14583121C2211yescharacteristic, complemented
106#14583121C2211yescharacteristic, complemented
107#14583121C2211yescharacteristic, complemented
108#14583118C2211yescharacteristic, complemented
109#14583114C2211yescharacteristic, complemented
110#14583111C2211yescharacteristic
111#14583111C2211yescharacteristic
112#14583111C2211yescharacteristic, complemented
113#14583101C2211yescharacteristic
114#14583101C2211yescharacteristic, complemented
115#14583099C2211yescharacteristic
116#14583099C2211yescharacteristic
117#14583061C2211yescharacteristic, complemented
118#14583059C2211yescharacteristic
119#14583055C2211yescharacteristic, complemented
120#14583049C2211yescharacteristic
121#14583049C2211yescharacteristic
122#14583049C2211yescharacteristic
123#14583044C2211yescharacteristic
124#14583042C2211yescharacteristic
125#14583038C2211yescharacteristic
126#14583038C2211yescharacteristic, complemented
127#14583038C2211yescharacteristic, complemented
128#14583032C2211yescharacteristic
129#14583030C2211yescharacteristic, complemented
130#14583030C2211yescharacteristic, complemented
131#14583009C2211yescharacteristic
132#14583009C2211yescharacteristic, complemented
133#14583009C2211yescharacteristic, complemented
134#14583004C2211yescharacteristic, complemented
135#14583004C2211yescharacteristic, complemented
136#14582999C2211yescharacteristic, complemented
137#14582997C2211yescharacteristic
138#14582997C2211yescharacteristic
139#14582997C2211yescharacteristic
140#14582997C2211yescharacteristic
141#14582997C2211yescharacteristic
142#14582997C2211yescharacteristic, complemented
143#14582997C2211yescharacteristic, complemented
144#14582997C2211yescharacteristic, complemented
145#14582997C2211yescharacteristic, complemented
146#14582997C2211yescharacteristic, complemented
147C4×#10621885C2211yescharacteristic, complemented
148C4×#10621885C2211yescharacteristic, complemented
149C4×#10621885C2211yescharacteristic, complemented
150C4×#10621884C2211yescharacteristic
151C4×#10621884C2211yescharacteristic
152C4×#10621884C2211yescharacteristic
153C4×#10621884C2211yescharacteristic, complemented
154C4×#10621884C2211yescharacteristic, complemented
155C4×#10621884C2211yescharacteristic, complemented
156C4×#10621884C2211yescharacteristic, complemented
157C4×#10621882C2211yescharacteristic
158C4×#10621882C2211yescharacteristic, complemented
159#14582977C2211yescharacteristic
160#14582977C2211yescharacteristic, complemented
161#14582971C2211yescharacteristic
162#14582971C2211yescharacteristic, complemented
163#14582971C2211yescharacteristic, complemented
164#14582971C2211yescharacteristic, complemented
165#14582960C2211yescharacteristic, complemented
166#14582960C2211yescharacteristic, complemented
167#14582956C2211yescharacteristic, complemented
168#14582942C2211yescharacteristic, complemented
169#14582942C2211yescharacteristic, complemented
170#14582935C2211yescharacteristic, complemented
171#14582908C2211yescharacteristic, complemented
172#14582903C2211yescharacteristic
173#14582903C2211yescharacteristic
174#14582900C2211yescharacteristic, complemented
175#14582893C2211yescharacteristic
176C2×#13063249C2211yescharacteristic, complemented
177#14582855C2211yescharacteristic, complemented
178#14582855C2211yescharacteristic, complemented
179C4×#10621877C2211yescharacteristic, complemented
180Q82×C43C2211yescharacteristic, complemented
181C43×#556—21no—
182C43×#556—21no—
183C43×#556—21no—
184C43×#556C2211yescharacteristic
185C43×#556C2211yescharacteristic, complemented
186C43×#556C2211yescharacteristic, complemented
187C43×#555—21no—
188C43×#555C2211yescharacteristic, complemented
189D4×Q8×C43C2211yescharacteristic, complemented
190C43×#548C2211yescharacteristic
191C43×#548C2211yescharacteristic, complemented
192C43×#542—21no—
193C43×#542—21no—
194C43×#542C2211yescharacteristic, complemented
195C43×#542C2211yescharacteristic, complemented
196C43×#533—21no—
197C43×#533C2211yescharacteristic, complemented
198C43×#529—21no—
199C43×#529C2211yescharacteristic
200C43×#519C2211yescharacteristic, complemented
201C43×#519C2211yescharacteristic, complemented
202C4×#41×C43C2211yescharacteristic, complemented
203C2×#10621898C2311yescharacteristic
204C2×#10621900—21no—
205C22×D172C2311yescharacteristic
206C22×D172C2311yescharacteristic
207C2×D4×D43—21no—
208C22×C4×D43—21no—
209#13063356—24no—
210#13063350—24no—
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621883C2311yescharacteristic
215C2×#10621884—24no—
216C2×#10621884C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621877C2311yescharacteristic
229C2×#10621877C2311yescharacteristic
230C2×#10621877C2311yescharacteristic
231C2×#10621877C2311yescharacteristic
232C22×C43⋊C8C2311yescharacteristic
233C22×C43⋊C8C2311yescharacteristic
234#13063325C2311yescharacteristic
235#13063322C2311yescharacteristic
236#13063320—21no—
237#13063320—21no—
238#13063319—21no—
239#13063318—21no—
240#13063317C2311yescharacteristic
241#13063317C2311yescharacteristic
242#13063315—21no—
243#13063314—21no—
244#13063313C2311yescharacteristic
245#13063313C2311yescharacteristic
246#13063311—21no—
247#13063310—21no—
248#13063310—21no—
249#13063310—21no—
250#13063310—21no—
251#13063310—21no—
252#13063310—21no—
253#13063309—21no—
254#13063309—21no—
255#13063308—21no—
256#13063307—21no—
257#13063307—21no—
258#13063306—21no—
259#13063305—21no—
260#13063304C2311yescharacteristic
261#13063304C2311yescharacteristic
262#13063303—21no—
263#13063303—21no—
264#13063303—21no—
265#13063301—21no—
266#13063300—21no—
267#13063299C2311yescharacteristic
268#13063299C2311yescharacteristic
269#13063299C2311yescharacteristic
270#13063299C2311yescharacteristic
271#13063298—21no—
272#13063298—21no—
273#13063298—21no—
274#13063298—21no—
275#13063297—21no—
276#13063295—21no—
277#13063295—21no—
278#13063293—21no—
279#13063293—21no—
280C4×Dic86C2311yescharacteristic
281C4×Dic86C2311yescharacteristic
282C4×D172—21no—
283C4×D172—21no—
284C4×D172C2311yescharacteristic
285C4×D172C2311yescharacteristic
286C4×D172C2311yescharacteristic
287C4×D172C2311yescharacteristic
288C4×D172C2311yescharacteristic
289C4×D172C2311yescharacteristic
290C4×D172C2311yescharacteristic
291C4×D172C2311yescharacteristic
292#13063287—21no—
293#13063287—21no—
294#13063287—21no—
295C4×C22⋊D43—21no—
296(C22⋊D43)⋊C4—21no—
297(C22⋊D43)⋊C4—21no—
298(C22⋊D43)⋊C4—21no—
299#13063284C2311yescharacteristic
300#13063283—21no—
301#13063282—21no—
302#13063281—21no—
303C2×C4⋊Dic43C2311yescharacteristic
304C2×C4⋊Dic43C2311yescharacteristic
305C4⋊C4×D43—21no—
306C4⋊C4×D43—21no—
307C2×(C2×D43)⋊C4—21no—
308C22⋊C4×D43—21no—
309C22⋊C4×D43—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#13063258C2311yescharacteristic
321#13063258C2311yescharacteristic
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#13063249C2311yescharacteristic
343#13063249C2311yescharacteristic
344#13063249C2311yescharacteristic
345#13063249C2311yescharacteristic
346#13063248C2311yescharacteristic
347#13063248C2311yescharacteristic
348#13063248C2311yescharacteristic
349#13063248C2311yescharacteristic
350#13063246C2311yescharacteristic
351#13063246C2311yescharacteristic
352#13063246C2311yescharacteristic
353#13063246C2311yescharacteristic
354#13063245C2311yescharacteristic
355#13063245C2311yescharacteristic
356#13063245C2311yescharacteristic
357#13063245C2311yescharacteristic
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
383C22×Q8×C43C2311yescharacteristic
384C22×Q8×C43C2311yescharacteristic
385C4⋊Q8×C43—21no—
386C4⋊Q8×C43—21no—
387C4⋊Q8×C43—21no—
388C4⋊Q8×C43—21no—
389C4⋊Q8×C43C2311yescharacteristic
390C4⋊Q8×C43C2311yescharacteristic
391C4⋊Q8×C43C2311yescharacteristic
392C4⋊Q8×C43C2311yescharacteristic
393#126×C43—21no—
394#126×C43—21no—
395#126×C43—21no—
396#126×C43—21no—
397#126×C43—21no—
398#126×C43—21no—
399#126×C43—21no—
400#126×C43—21no—
401#126×C43D411yescharacteristic
402#126×C43D411yescharacteristic
403#125×C43—21no—
404#125×C43D411yescharacteristic
405#124×C43—21no—
406#124×C43—21no—
407#124×C43—21no—
408#124×C43—21no—
409#124×C43—21no—
410#124×C43—21no—
411#124×C43—21no—
412#124×C43—21no—
413#124×C43D411yescharacteristic
414#124×C43C2311yescharacteristic
415#124×C43C2311yescharacteristic
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×C43—21no—
424C22⋊Q8×C43—21no—
425C22⋊Q8×C43—21no—
426C22⋊Q8×C43—21no—
427C22⋊Q8×C43—21no—
428C22⋊Q8×C43D411yescharacteristic
429C22⋊Q8×C43C2311yescharacteristic
430C22⋊Q8×C43C2311yescharacteristic
431C22⋊Q8×C43C2311yescharacteristic
432C22⋊Q8×C43C2311yescharacteristic
433#121×C43—21no—
434#121×C43—21no—
435#121×C43—21no—
436#121×C43D411yescharacteristic
437#121×C43C2311yescharacteristic
438#121×C43C2311yescharacteristic
439C4×Q8×C43—21no—
440C4×Q8×C43—21no—
441C4×Q8×C43—21no—
442C4×Q8×C43—21no—
443C4×Q8×C43—21no—
444C4×Q8×C43—21no—
445C4×Q8×C43—21no—
446C4×Q8×C43—21no—
447C4×Q8×C43C2311yescharacteristic
448C4×Q8×C43C2311yescharacteristic
449C4×Q8×C43C2311yescharacteristic
450C4×Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×D4×C43—21no—
457C4×D4×C43—21no—
458C4×D4×C43—21no—
459C4×D4×C43—21no—
460C4×D4×C43—21no—
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×C43—21no—
474#117×C43C2311yescharacteristic
475#117×C43C2311yescharacteristic
476#117×C43C2311yescharacteristic
477#117×C43C2311yescharacteristic
478#117×C43C2311yescharacteristic
479C2×C42×C43—21no—
480C2×C42×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483#41×C43—22no—
484#41×C43—41no—
485C2×Q8×C43—21no—
486C2×Q8×C43—21no—
487C2×Q8×C43—21no—
488C2×Q8×C43—21no—
489C2×Q8×C43—21no—
490C2×Q8×C43—22no—
491C2×Q8×C43—22no—
492C2×Q8×C43—41no—
493C2×Q8×C43—41no—
494C2×Q8×C43C2×D411yescharacteristic
495C2×Q8×C43C2411yescharacteristic
496C2×Q8×C43C2411yescharacteristic
497C2×Q8×C43C2411yescharacteristic
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
505C22×C4×C43—21no—
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43—21no—
510C22×C4×C43C2×D411yescharacteristic
511C22×C4×C43C2×D411yescharacteristic
512C22×C4×C43C2411yescharacteristic
513C22×C4×C43C2411yescharacteristic
514C22×C4×C43C2411yescharacteristic
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522#10621900—82no—
523D4×D43—82no—
524#10621898—22no—
525#10621898—41no—
526C2×D172—21no—
527C2×D172—21no—
528C2×D172—21no—
529C2×D172—21no—
530C2×D172—22no—
531C2×D172—22no—
532C2×D172—41no—
533C2×D172—41no—
534C2×D172C2411yescharacteristic
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—21no—
546C2×C4×D43—82no—
547C2×Dic86—21no—
548C2×Dic86C2411yescharacteristic
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×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×C43—21no—
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×C43C2×D411yescharacteristic
576C4⋊C4×C43C2411yescharacteristic
577C4⋊C4×C43C2411yescharacteristic
578C4⋊C4×C43C2411yescharacteristic
579C4⋊C4×C43C2411yescharacteristic
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×C43—21no—
614C42×C43—21no—
615C42×C43—21no—
616C42×C43C2×D411yescharacteristic
617C42×C43C2×D411yescharacteristic
618C42×C43C2411yescharacteristic
619C42×C43C2411yescharacteristic
620C42×C43C2411yescharacteristic
621C42×C43C2411yescharacteristic
622C22⋊Dic43—21no—
623C22⋊Dic43—21no—
624C22⋊Dic43—21no—
625#10621885—22no—
626#10621885—22no—
627#10621885—41no—
628#10621884—22no—
629#10621884—22no—
630#10621884—22no—
631#10621884—22no—
632#10621884—22no—
633#10621884—41no—
634#10621884—41no—
635#10621884—41no—
636#10621884#4114yescomplemented
637#10621883—41no—
638#10621882—22no—
639#10621882—22no—
640#10621882—41no—
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—
651(C2×D43)⋊C4—21no—
652(C2×D43)⋊C4—21no—
653(C2×D43)⋊C4—21no—
654(C2×D43)⋊C4—21no—
655(C2×D43)⋊C4—21no—
656(C2×D43)⋊C4—21no—
657C4⋊Dic43—21no—
658C4⋊Dic43—21no—
659C4⋊Dic43—21no—
660C4⋊Dic43C2411yescharacteristic
661C4⋊Dic43C2411yescharacteristic
662C4⋊Dic43C2411yescharacteristic
663C4⋊Dic43C2411yescharacteristic
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4—21no—
668Dic43⋊C4—21no—
669Dic43⋊C4—21no—
670Dic43⋊C4—21no—
671Dic43⋊C4—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×C43C22×D411yescharacteristic
691C23×C43C22×D411yescharacteristic
692C23×C43C22×D411yescharacteristic
693C22×D43—21no—
694C22×D43—21no—
695C22×D43—21no—
696C22×D43—42no—
697C22×D43—42no—
698C22×D43—42no—
699C22×D43—81no—
700C22×D43—81no—
701C22×D43—81no—
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—21no—
705Q8×C43—21no—
706Q8×C43—21no—
707Q8×C43—41no—
708Q8×C43—42no—
709Q8×C43—42no—
710Q8×C43—81no—
711Q8×C43—81no—
712Q8×C43—81no—
713Q8×C43C2×#4112yes—
714D4×C43—21no—
715D4×C43—21no—
716D4×C43—41no—
717D4×C43—41no—
718D4×C43—41no—
719D4×C43—42no—
720D4×C43—81no—
721D4×C43—81no—
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—21no—
734C2×C4×C43—21no—
735C2×C4×C43—41no—
736C2×C4×C43—41no—
737C2×C4×C43—42no—
738C2×C4×C43—42no—
739C2×C4×C43—42no—
740C2×C4×C43—42no—
741C2×C4×C43—81no—
742C2×C4×C43C22×D411yescharacteristic
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×C43C2511yescharacteristic
754C22⋊D43—42no—
755C22⋊D43—42no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—42no—
765C2×Dic43—81no—
766D172—21no—
767D172—21no—
768D172—21no—
769D172—21no—
770D172—21no—
771D172—42no—
772D172—42no—
773D172—81no—
774D172—81no—
775D172C2×#4112yes—
776C4×D43—42no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782C4×D43—81no—
783C4×D43—81no—
784C4×D43—81no—
785Dic86—21no—
786Dic86—21no—
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#61503—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×C43C23×D411yescharacteristic
810C2×D43—22no—
811C2×D43—41no—
812C2×D43—41no—
813C2×D43—41no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—84no—
820C2×D43—162no—
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—21no—
832C4×C43—22no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43—41no—
838C4×C43—41no—
839C4×C43C22×#4111yescharacteristic
840C4×C43#58511yescharacteristic
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3518D4311yescharacteristic, complemented
847#3513—431no—
848#3401—431no—
849#3385—431no—
850#3376—431no—
851#3375—431no—
852#3353—431no—
853#3349—431no—
854#3347—431no—
855#3327—431no—
856#3324—431no—
857#3320—431no—
858#3319—431no—
859#3311—431no—
860#3308—431no—
861#3275—431no—
862#3266—431no—
863#3265—431no—
864#3179—431no—
865#3175—431no—
866#3172—431no—
867#3126—431no—
868#3124—431no—
869#3121—431no—
870#3118—431no—
871#3111—431no—
872#3110—431no—
873#2967—431no—
874#2949—431no—
875#2947—431no—
876C4×AGL(1,ℤ/8)—431no—
877C2×C43—41no—
878C2×C43—41no—
879C2×C43—41no—
880C2×C43—81no—
881C2×C43D4×#4111yescharacteristic
882C2×C43#358511yescharacteristic
883C2×C43#358611yescharacteristic
884D43—42no—
885D43—81no—
886D43—81no—
887C2×#137—431no—
888C2×AGL(1,ℤ/8)—431no—
889C22×SD16—431no—
890#559—431no—
891Q82C2×D4311yescharacteristic, complemented
892#556—21no—
893#556—21no—
894#556—21no—
895#556C2×D4311yescharacteristic
896#556C2×D4311yescharacteristic, complemented
897#556C2×D4311yescharacteristic, complemented
898#555—21no—
899#555C2×D4311yescharacteristic, complemented
900#554—431no—
901#553—431no—
902#553—861no—
903#552—431no—
904#551—861no—
905#551—861no—
906D4×Q8C2×D4311yescharacteristic, complemented
907#548C2×D4311yescharacteristic
908#548C2×D4311yescharacteristic, complemented
909#547—431no—
910#546—431no—
911#546—431no—
912#546—861no—
913D42—431no—
914#542—21no—
915#542—21no—
916#542—431no—
917#542C2×D4311yescharacteristic, complemented
918#542C2×D4311yescharacteristic, complemented
919#540—431no—
920#539—861no—
921#538—861no—
922#533—21no—
923#533C2×D4311yescharacteristic, complemented
924#529—21no—
925#529—431no—
926#529C2×D4311yescharacteristic
927#525—861no—
928C2×#123—861no—
929#520—431no—
930#519C2×D4311yescharacteristic, complemented
931#519C2×D4311yescharacteristic, complemented
932#518—431no—
933C4×#41C2×D4311yescharacteristic, complemented
934C2×C4×D4—431no—
935#501—431no—
936#501—431no—
937#500—431no—
938#497—431no—
939#496—431no—
940#495—431no—
941#491—431no—
942#489—431no—
943#489—431no—
944#489—431no—
945#488—431no—
946#486—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#484—431no—
951#484—431no—
952#484—431no—
953#482—431no—
954#482—431no—
955#482—431no—
956#482—431no—
957#482—431no—
958#480—431no—
959#479—431no—
960#479—431no—
961#479—431no—
962#478—431no—
963#477—431no—
964#477—431no—
965#476—431no—
966#475—431no—
967#474—431no—
968#474—431no—
969#474—431no—
970#474—431no—
971#470—431no—
972#470—431no—
973#469—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#468—431no—
979#467—431no—
980#466—431no—
981#466—431no—
982#465—431no—
983#464—431no—
984#464—431no—
985#464—431no—
986#464—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#463—431no—
991#461—431no—
992#461—431no—
993#460—431no—
994#460—431no—
995#452—431no—
996#452—431no—
997#451—431no—
998#450—431no—
999#450—431no—
1000#450—431no—
1001#449—431no—
1002#449—431no—
1003#448—431no—
1004#448—431no—
1005#448—431no—
1006#447—431no—
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#441—431no—
1013#441—431no—
1014#440—431no—
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440—431no—
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×Q16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16—431no—
1034C4×SD16—431no—
1035C4×D8—431no—
1036C4×D8—431no—
1037#436—431no—
1038#436—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435—431no—
1043#433—431no—
1044#433—431no—
1045#432—431no—
1046#428—431no—
1047#428—431no—
1048#427—431no—
1049#419—431no—
1050#418—431no—
1051#418—431no—
1052#417—431no—
1053#416—431no—
1054C2×#103—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16—431no—
1058C43#6150311yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—861no—
1061C2×#41C22×D4311yescharacteristic
1062C22×Q8C22×D4311yescharacteristic
1063C22×Q8C22×D4311yescharacteristic
1064C22×D4—431no—
1065C22×D4—431no—
1066C22×D4—861no—
1067C23×C4—861no—
1068#137—864no—
1069AGL(1,ℤ/8)—864no—
1070C2×Q16—431no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×SD16—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×SD16—431no—
1083C2×SD16—864no—
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×D8—431no—
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16—431no—
1090C2×M16—431no—
1091C22×C8—431no—
1092C22×C8—431no—
1093C4⋊Q8—21no—
1094C4⋊Q8—21no—
1095C4⋊Q8—21no—
1096C4⋊Q8—21no—
1097C4⋊Q8—431no—
1098C4⋊Q8C22×D4311yescharacteristic
1099C4⋊Q8C22×D4311yescharacteristic
1100C4⋊Q8C22×D4311yescharacteristic
1101C4⋊Q8C22×D4311yescharacteristic
1102#127—431no—
1103#126—21no—
1104#126—21no—
1105#126—21no—
1106#126—21no—
1107#126—21no—
1108#126—21no—
1109#126—21no—
1110#126—21no—
1111#126—861no—
1112#126—861no—
1113#126—861no—
1114#126—861no—
1115#126C22⋊D4311yescharacteristic
1116#126C22⋊D4311yescharacteristic
1117#125—21no—
1118#125—431no—
1119#125—431no—
1120#125—861no—
1121#125C22⋊D4311yescharacteristic
1122#124—21no—
1123#124—21no—
1124#124—21no—
1125#124—21no—
1126#124—21no—
1127#124—21no—
1128#124—21no—
1129#124—21no—
1130#124—431no—
1131#124—431no—
1132#124—861no—
1133#124—861no—
1134#124C22⋊D4311yescharacteristic
1135#124C22×D4311yescharacteristic
1136#124C22×D4311yescharacteristic
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#123C22⋊D4311yescharacteristic
1152#123C22⋊D4311yescharacteristic
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—431no—
1162C22⋊Q8—431no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8C22⋊D4311yescharacteristic
1169C22⋊Q8C22×D4311yescharacteristic
1170C22⋊Q8C22×D4311yescharacteristic
1171C22⋊Q8C22×D4311yescharacteristic
1172C22⋊Q8C22×D4311yescharacteristic
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—431no—
1177#121—431no—
1178#121—431no—
1179#121—431no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121C22⋊D4311yescharacteristic
1187#121C22×D4311yescharacteristic
1188#121C22×D4311yescharacteristic
1189#120—861no—
1190#120—861no—
1191#120—861no—
1192#120—861no—
1193C4×Q8—21no—
1194C4×Q8—21no—
1195C4×Q8—21no—
1196C4×Q8—21no—
1197C4×Q8—21no—
1198C4×Q8—21no—
1199C4×Q8—21no—
1200C4×Q8—21no—
1201C4×Q8—431no—
1202C4×Q8—431no—
1203C4×Q8C22×D4311yescharacteristic
1204C4×Q8C22×D4311yescharacteristic
1205C4×Q8C22×D4311yescharacteristic
1206C4×Q8C22×D4311yescharacteristic
1207C4×Q8C22×D4311yescharacteristic
1208C4×Q8C22×D4311yescharacteristic
1209C4×Q8C22×D4311yescharacteristic
1210C4×Q8C22×D4311yescharacteristic
1211C4×Q8C22×D4311yescharacteristic
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—431no—
1224C4×D4—431no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4—861no—
1233C4×D4—861no—
1234C4×D4C22×D4311yescharacteristic
1235C4×D4C22×D4311yescharacteristic
1236C4×D4C22×D4311yescharacteristic
1237C4×D4C22×D4311yescharacteristic
1238C4×D4C22×D4311yescharacteristic
1239#117—21no—
1240#117—21no—
1241#117—21no—
1242#117—21no—
1243#117—21no—
1244#117—21no—
1245#117—21no—
1246#117—21no—
1247#117—431no—
1248#117—861no—
1249#117—861no—
1250#117—861no—
1251#117C22×D4311yescharacteristic
1252#117C22×D4311yescharacteristic
1253#117C22×D4311yescharacteristic
1254#117C22×D4311yescharacteristic
1255#117C22×D4311yescharacteristic
1256C2×C4⋊C4—431no—
1257C2×C4⋊C4—431no—
1258C2×C4⋊C4—861no—
1259C2×C4⋊C4—861no—
1260C2×C22⋊C4—861no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C22⋊C4—861no—
1265C2×C42—21no—
1266C2×C42C22×D4311yescharacteristic
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#107—431no—
1275#107—431no—
1276#107—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106—431no—
1282#106—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288C4⋊C8—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#103—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—
1320#102—431no—
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8—431no—
1326C22⋊C8—431no—
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97—431no—
1332#97—431no—
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C4×C8—431no—
1337C24—861no—
1338C24—861no—
1339#41—22no—
1340#41—41no—
1341#41—862no—
1342#41—3442no—
1343#41—1721no—
1344C2×Q8—21no—
1345C2×Q8—21no—
1346C2×Q8—21no—
1347C2×Q8—21no—
1348C2×Q8—21no—
1349C2×Q8—22no—
1350C2×Q8—22no—
1351C2×Q8—41no—
1352C2×Q8—41no—
1353C2×Q8—431no—
1354C2×Q8—861no—
1355C2×Q8C2×C22⋊D4311yescharacteristic
1356C2×Q8C23×D4311yescharacteristic
1357C2×Q8C23×D4311yescharacteristic
1358C2×Q8C23×D4311yescharacteristic
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—431no—
1365C2×D4—862no—
1366C2×D4—862no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—3442no—
1377C2×D4—1721no—
1378C2×D4—1721no—
1379C2×D4C2×C22⋊D4311yescharacteristic
1380C2×D4C2×C22⋊D4311yescharacteristic
1381C2×D4C2×C22⋊D4311yescharacteristic
1382C2×D4C23×D4311yescharacteristic
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—861no—
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—3442no—
1400C22×C4C2×C22⋊D4311yescharacteristic
1401C22×C4C2×C22⋊D4311yescharacteristic
1402C22×C4C23×D4311yescharacteristic
1403C22×C4C23×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405Q16—862no—
1406Q16—862no—
1407Q16—1721no—
1408SD16—434no—
1409SD16—862no—
1410SD16—862no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—1721no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—862no—
1419D8—862no—
1420D8—1721no—
1421M16—862no—
1422M16—862no—
1423M16—1721no—
1424M16—1721no—
1425C2×C8—431no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—431no—
1430C2×C8—431no—
1431C2×C8—431no—
1432C2×C8—431no—
1433C2×C8—862no—
1434C2×C8—1721no—
1435C4⋊C4—21no—
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—21no—
1451C4⋊C4—21no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—431no—
1455C4⋊C4—431no—
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⋊C4C2×C22⋊D4311yescharacteristic
1468C4⋊C4C2×C22⋊D4311yescharacteristic
1469C4⋊C4C2×C22⋊D4311yescharacteristic
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⋊C4C23×D4311yescharacteristic
1478C4⋊C4C23×D4311yescharacteristic
1479C4⋊C4C23×D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
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—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
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⋊C4C2×C22⋊D4311yescharacteristic
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
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—21no—
1534C42—21no—
1535C42—21no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42C2×C22⋊D4311yescharacteristic
1540C42C2×C22⋊D4311yescharacteristic
1541C42C23×D4311yescharacteristic
1542C42C23×D4311yescharacteristic
1543C42C23×D4311yescharacteristic
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—861no—
1547C23—861no—
1548C23—861no—
1549C23—3441no—
1550C23—3441no—
1551C23—3441no—
1552C23—1722no—
1553C23—1722no—
1554C23—1722no—
1555C23C22×C22⋊D4311yescharacteristic
1556C23C22×C22⋊D4311yescharacteristic
1557C23C22×C22⋊D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—41no—
1564Q8—42no—
1565Q8—42no—
1566Q8—81no—
1567Q8—81no—
1568Q8—81no—
1569Q8—861no—
1570Q8—861no—
1571Q8—3441no—
1572Q8#41×D4312yes—
1573D4—21no—
1574D4—21no—
1575D4—41no—
1576D4—41no—
1577D4—41no—
1578D4—42no—
1579D4—81no—
1580D4—81no—
1581D4—432no—
1582D4—861no—
1583D4—861no—
1584D4—861no—
1585D4—861no—
1586D4—861no—
1587D4—3441no—
1588D4—3441no—
1589D4—3441no—
1590D4—3441no—
1591D4—3441no—
1592D4—1722no—
1593D4—1722no—
1594D4—1722no—
1595D4—1722no—
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—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—42no—
1612C2×C4—42no—
1613C2×C4—42no—
1614C2×C4—42no—
1615C2×C4—81no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—3441no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—1722no—
1631C2×C4—1722no—
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×C4C22×C22⋊D4311yescharacteristic
1643C2×C4C24×D4311yescharacteristic
1644C8—432no—
1645C8—861no—
1646C8—861no—
1647C8—861no—
1648C8—861no—
1649C8—861no—
1650C8—861no—
1651C8—861no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—862no—
1665C22—3444no—
1666C22—1721no—
1667C22—1721no—
1668C22—1721no—
1669C22—1721no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22—1721no—
1674C22—6882no—
1675C22C23×C22⋊D4311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—22no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—21no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C2×#41×D4311yescharacteristic
1700C4#1458373511yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—41no—
1704C2—81no—
1705C2—3441no—
1706C2—3441no—
1707C2—1722no—
1708C2#41×C22⋊D4311yescharacteristic
1709C2#1914937411yescharacteristic
1710C2#1914938211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3518C2
socleC22×C43C23×D4
hypercenter#3518D43
hypocenterC43#61503
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #529 ◁ #3518

Complements

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

NH ≅ G/Ntype
1. #19148539C2semidirect
2. #19147661C2semidirect
3. #19147501C2semidirect
4. #19147416C2semidirect
5. #19147409C2semidirect
6. #19147173C2semidirect
7. #19147119C2semidirect
8. #19147095C2semidirect
9. #19146863C2semidirect
10. #19146820C2semidirect
11. #19146766C2semidirect
12. #19146745C2semidirect
13. #19146625C2semidirect
14. #19146586C2semidirect
15. #19146227C2semidirect
16. #19146106C2semidirect
17. #19146091C2semidirect
18. #19145272C2semidirect
19. #19145228C2semidirect
20. #19145195C2semidirect
21. #19144886C2semidirect
22. #19144851C2semidirect
23. #19144824C2semidirect
24. #19144773C2semidirect
25. #19144704C2semidirect
26. #19144690C2semidirect
27. #19143582C2semidirect
28. #19143454C2semidirect
29. #19143438C2semidirect
30. C4×#13063350C2semidirect
31. C43×#3518C2semidirect
57. #14583305C22semidirect
58. #14583305C22semidirect
59. #14583302C22semidirect
60. #14583291C22semidirect
62. #14583281C22semidirect
63. #14583267C22semidirect
64. #14583261C22semidirect
65. #14583261C22semidirect
66. #14583258C22semidirect
67. #14583253C22semidirect
69. #14583240C22semidirect
70. #14583240C22semidirect
71. #14583237C22semidirect
72. #14583232C22semidirect
73. #14583232C22semidirect
74. #14583232C22semidirect
77. #14583223C22semidirect
78. #14583223C22semidirect
79. #14583220C22semidirect
80. #14583210C22semidirect
81. #14583206C22semidirect
82. #14583206C22semidirect
83. #14583206C22semidirect
84. #14583199C22semidirect
85. #14583194C22semidirect
86. #14583191C22semidirect
88. #14583184C22semidirect
91. #14583176C22semidirect
92. #14583176C22semidirect
93. #14583155C22semidirect
94. #14583155C22semidirect
95. #14583150C22semidirect
99. #14583147C22semidirect
100. #14583143C22semidirect
101. #14583138C22semidirect
103. #14583133C22semidirect
104. #14583130C22semidirect
105. #14583121C22semidirect
106. #14583121C22semidirect
107. #14583121C22semidirect
108. #14583118C22semidirect
109. #14583114C22semidirect
112. #14583111C22semidirect
114. #14583101C22semidirect
117. #14583061C22semidirect
119. #14583055C22semidirect
126. #14583038C22semidirect
127. #14583038C22semidirect
129. #14583030C22semidirect
130. #14583030C22semidirect
132. #14583009C22semidirect
133. #14583009C22semidirect
134. #14583004C22semidirect
135. #14583004C22semidirect
136. #14582999C22semidirect
142. #14582997C22semidirect
143. #14582997C22semidirect
144. #14582997C22semidirect
145. #14582997C22semidirect
146. #14582997C22semidirect
147. C4×#10621885C22semidirect
148. C4×#10621885C22semidirect
149. C4×#10621885C22semidirect
153. C4×#10621884C22semidirect
154. C4×#10621884C22semidirect
155. C4×#10621884C22semidirect
156. C4×#10621884C22semidirect
158. C4×#10621882C22semidirect
160. #14582977C22semidirect
162. #14582971C22semidirect
163. #14582971C22semidirect
164. #14582971C22semidirect
165. #14582960C22semidirect
166. #14582960C22semidirect
167. #14582956C22semidirect
168. #14582942C22semidirect
169. #14582942C22semidirect
170. #14582935C22semidirect
171. #14582908C22semidirect
174. #14582900C22semidirect
176. C2×#13063249C22semidirect
177. #14582855C22semidirect
178. #14582855C22semidirect
179. C4×#10621877C22semidirect
180. Q82×C43C22semidirect
185. C43×#556C22semidirect
186. C43×#556C22semidirect
188. C43×#555C22semidirect
189. D4×Q8×C43C22semidirect
191. C43×#548C22semidirect
194. C43×#542C22semidirect
195. C43×#542C22semidirect
197. C43×#533C22semidirect
200. C43×#519C22semidirect
201. C43×#519C22semidirect
202. C4×#41×C43C22semidirect
636. #10621884#41semidirect
846. #3518D43semidirect
891. Q82C2×D43semidirect
896. #556C2×D43semidirect
897. #556C2×D43semidirect
899. #555C2×D43semidirect
906. D4×Q8C2×D43semidirect
908. #548C2×D43semidirect
917. #542C2×D43semidirect
918. #542C2×D43semidirect
923. #533C2×D43semidirect
930. #519C2×D43semidirect
931. #519C2×D43semidirect
933. C4×#41C2×D43semidirect
1058. C43#61503semidirect

Maximal subgroups

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

subgroupindex
#191485392
#191476612
#191475012
#191474162
#191474092
#191471732
#191471192
#191470952
#191468632
#191468202
#191467662
#191467452
#191466252
#191465862
#191462272
#191461062
#191460912
#191452722
#191452282
#191451952
#191448862
#191448512
#191448242
#191447732
#191447042
#191446902
#191435822
#191434542
#191434382
C4×#130633502
C43×#35182
#6150343