Finite Group Databasebeta

← #25979703

Subgroups — #25979703

Order 11008.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148629C211yesmaximal, characteristic, complemented
2#19147633C211yesmaximal, characteristic, complemented
3#19147534C211yesmaximal, characteristic, complemented
4#19147342C211yesmaximal, characteristic, complemented
5#19147324C211yesmaximal, characteristic, complemented
6#19147155C211yesmaximal, characteristic, complemented
7#19147095C211yesmaximal, characteristic, complemented
8#19147089C211yesmaximal, characteristic, complemented
9#19146848C211yesmaximal, characteristic, complemented
10#19146831C211yesmaximal, characteristic, complemented
11#19146781C211yesmaximal, characteristic, complemented
12#19146730C211yesmaximal, characteristic, complemented
13#19146610C211yesmaximal, characteristic, complemented
14#19146601C211yesmaximal, characteristic, complemented
15#19146215C211yesmaximal, characteristic, complemented
16#19146091C211yesmaximal, characteristic, complemented
17#19146091C211yesmaximal, characteristic, complemented
18#19145272C211yesmaximal, characteristic, complemented
19#19145239C211yesmaximal, characteristic, complemented
20#19145191C211yesmaximal, characteristic, complemented
21#19144886C211yesmaximal, characteristic, complemented
22#19144833C211yesmaximal, characteristic, complemented
23#19144794C211yesmaximal, characteristic, complemented
24#19144773C211yesmaximal, characteristic, complemented
25#19144746C211yesmaximal, characteristic, complemented
26#19144729C211yesmaximal, characteristic, complemented
27#19143582C211yesmaximal, characteristic, complemented
28#19143454C211yesmaximal, characteristic, complemented
29#19143423C211yesmaximal, characteristic, complemented
30C4×#13063350C211yesmaximal, characteristic, complemented
31C43×#3524C211yesmaximal, characteristic, complemented
32C2×#13063350C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C22×#10621884C2211yescharacteristic
35#14583614C2211yescharacteristic
36#14583609C2211yescharacteristic
37#14583602—21no—
38#14583595C2211yescharacteristic
39#14583595C2211yescharacteristic
40#14583571C2211yescharacteristic
41#14583542—21no—
42#14583541—21no—
43#14583541—21no—
44D4×D172C2211yescharacteristic
45D4×D172C2211yescharacteristic
46D4×D172C2211yescharacteristic
47#14583504C2211yescharacteristic
48#14583504C2211yescharacteristic
49#14583488—21no—
50#14583488—21no—
51#14583449C2211yescharacteristic
52#14583412—21no—
53#121×D43—21no—
54#14583373C2211yescharacteristic
55#14583373C2211yescharacteristic
56C2×C4×D172C2211yescharacteristic
57#14583309C2211yescharacteristic, complemented
58#14583305C2211yescharacteristic, complemented
59#14583298C2211yescharacteristic, complemented
60#14583289C2211yescharacteristic, complemented
61#14583289C2211yescharacteristic, complemented
62#14583275C2211yescharacteristic, complemented
63#14583265C2211yescharacteristic, complemented
64#14583265C2211yescharacteristic, complemented
65#14583263C2211yescharacteristic, complemented
66#14583258C2211yescharacteristic, complemented
67#14583253C2211yescharacteristic, complemented
68#14583247C2211yescharacteristic, complemented
69#14583237C2211yescharacteristic, complemented
70#14583227C2211yescharacteristic, complemented
71#14583223C2211yescharacteristic, complemented
72#14583223C2211yescharacteristic, complemented
73#14583223C2211yescharacteristic, complemented
74#14583223C2211yescharacteristic, complemented
75#14583220C2211yescharacteristic, complemented
76#14583220C2211yescharacteristic, complemented
77#14583220C2211yescharacteristic, complemented
78#14583217C2211yescharacteristic, complemented
79#14583212C2211yescharacteristic, complemented
80#14583210C2211yescharacteristic, complemented
81#14583206C2211yescharacteristic, complemented
82#14583206C2211yescharacteristic, complemented
83#14583206C2211yescharacteristic, complemented
84#14583199C2211yescharacteristic, complemented
85#14583196C2211yescharacteristic
86#14583196C2211yescharacteristic
87#14583196C2211yescharacteristic, complemented
88#14583196C2211yescharacteristic, complemented
89#14583186C2211yescharacteristic
90#14583184C2211yescharacteristic, complemented
91#14583179C2211yescharacteristic, complemented
92#14583176C2211yescharacteristic, complemented
93#14583150C2211yescharacteristic, complemented
94#14583150C2211yescharacteristic, complemented
95#14583150C2211yescharacteristic, complemented
96#14583150C2211yescharacteristic, complemented
97#14583150C2211yescharacteristic, complemented
98#14583147C2211yescharacteristic, complemented
99#14583147C2211yescharacteristic, complemented
100#14583147C2211yescharacteristic, complemented
101#14583133C2211yescharacteristic, complemented
102#14583133C2211yescharacteristic, complemented
103#14583133C2211yescharacteristic, complemented
104#14583130C2211yescharacteristic, complemented
105#14583111C2211yescharacteristic
106#14583111C2211yescharacteristic
107#14583111C2211yescharacteristic, complemented
108#14583111C2211yescharacteristic, complemented
109#14583099C2211yescharacteristic, complemented
110#14583099C2211yescharacteristic, complemented
111#14583099C2211yescharacteristic, complemented
112#14583099C2211yescharacteristic, complemented
113#14583094C2211yescharacteristic, complemented
114#14583094C2211yescharacteristic, complemented
115#14583091C2211yescharacteristic
116#14583091C2211yescharacteristic, complemented
117#14583049C2211yescharacteristic
118#14583049C2211yescharacteristic
119#14583044C2211yescharacteristic, complemented
120#14583044C2211yescharacteristic, complemented
121#14583044C2211yescharacteristic, complemented
122#14583044C2211yescharacteristic, complemented
123#14583038C2211yescharacteristic, complemented
124#14583038C2211yescharacteristic, complemented
125#14583032C2211yescharacteristic
126#14583032C2211yescharacteristic
127#14583032C2211yescharacteristic
128#14583032C2211yescharacteristic
129#14583030C2211yescharacteristic, complemented
130#14583030C2211yescharacteristic, complemented
131#14583009C2211yescharacteristic
132#14583009C2211yescharacteristic
133#14583009C2211yescharacteristic, complemented
134#14583009C2211yescharacteristic, complemented
135#14583009C2211yescharacteristic, complemented
136#14583009C2211yescharacteristic, complemented
137#14583009C2211yescharacteristic, complemented
138#14582997C2211yescharacteristic
139#14582997C2211yescharacteristic
140#14582997C2211yescharacteristic
141#14582997C2211yescharacteristic
142#14582997C2211yescharacteristic, complemented
143#14582997C2211yescharacteristic, complemented
144#14582997C2211yescharacteristic, complemented
145#14582997C2211yescharacteristic, complemented
146#14582997C2211yescharacteristic, complemented
147C4×#10621884C2211yescharacteristic
148C4×#10621884C2211yescharacteristic
149C4×#10621884C2211yescharacteristic, complemented
150C4×#10621884C2211yescharacteristic, complemented
151C4×#10621884C2211yescharacteristic, complemented
152C4×#10621884C2211yescharacteristic, complemented
153C4×#10621884C2211yescharacteristic, complemented
154C4×#10621882C2211yescharacteristic
155C4×#10621882C2211yescharacteristic
156C4×#10621882C2211yescharacteristic, complemented
157C4×#10621882C2211yescharacteristic, complemented
158C4×#10621882C2211yescharacteristic, complemented
159#14582977C2211yescharacteristic, complemented
160#14582977C2211yescharacteristic, complemented
161#14582971C2211yescharacteristic, complemented
162#14582971C2211yescharacteristic, complemented
163#14582971C2211yescharacteristic, complemented
164#14582971C2211yescharacteristic, complemented
165#14582960C2211yescharacteristic, complemented
166#14582960C2211yescharacteristic, complemented
167#14582956C2211yescharacteristic, complemented
168#14582942C2211yescharacteristic, complemented
169#14582939C2211yescharacteristic, complemented
170#14582935C2211yescharacteristic, complemented
171#14582908C2211yescharacteristic, complemented
172#14582903C2211yescharacteristic
173#14582903C2211yescharacteristic
174#14582900C2211yescharacteristic, complemented
175#14582895C2211yescharacteristic, complemented
176C2×#13063245C2211yescharacteristic
177#14582855C2211yescharacteristic, complemented
178#14582855C2211yescharacteristic, complemented
179C4×#10621877C2211yescharacteristic, complemented
180C43×#559—21no—
181C43×#559C2211yescharacteristic, complemented
182C43×#557C2211yescharacteristic, complemented
183C43×#555—21no—
184C43×#555C2211yescharacteristic, complemented
185C43×#553—21no—
186C43×#553C2211yescharacteristic, complemented
187C43×#552—21no—
188C43×#552C2211yescharacteristic, complemented
189C43×#550C2211yescharacteristic, complemented
190C43×#548C2211yescharacteristic, complemented
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, complemented
200C43×#520C2211yescharacteristic, complemented
201C43×#519C2211yescharacteristic, complemented
202C4×#41×C43C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621898—21no—
205C22×D172C2311yescharacteristic
206C22×D172C2311yescharacteristic
207C22×D172C2311yescharacteristic
208C2×D4×D43—21no—
209C2×D4×D43—21no—
210C2×D4×D43—21no—
211C22×C4×D43—21no—
212#13063350—24no—
213#13063350—24no—
214C2×#10621884—24no—
215C2×#10621884C2311yescharacteristic
216C2×#10621884C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621882C2311yescharacteristic
231C2×#10621877C2311yescharacteristic
232C2×#10621877C2311yescharacteristic
233C2×#10621877C2311yescharacteristic
234C2×#10621877C2311yescharacteristic
235C22×C43⋊C8C2311yescharacteristic
236C22×C43⋊C8C2311yescharacteristic
237#13063325C2311yescharacteristic
238#13063322C2311yescharacteristic
239#13063322C2311yescharacteristic
240#13063322C2311yescharacteristic
241#13063320—21no—
242#13063320—21no—
243#13063317C2311yescharacteristic
244#13063317C2311yescharacteristic
245#13063313—21no—
246#13063311—21no—
247#13063311—21no—
248#13063310—21no—
249#13063310—21no—
250#13063310—21no—
251#13063310—21no—
252#13063307—21no—
253#13063307—21no—
254#13063303—21no—
255#13063303—21no—
256#13063301—21no—
257#13063300—21no—
258#13063300—21no—
259#13063300—21no—
260#13063300—21no—
261#13063300—21no—
262#13063300—21no—
263#13063299—21no—
264#13063299C2311yescharacteristic
265#13063299C2311yescharacteristic
266#13063299C2311yescharacteristic
267#13063299C2311yescharacteristic
268#13063299C2311yescharacteristic
269#13063299C2311yescharacteristic
270#13063298—21no—
271#13063298—21no—
272#13063298—21no—
273#13063298—21no—
274#13063297—21no—
275#13063297—21no—
276#13063296—21no—
277#13063295—21no—
278#13063295—21no—
279#13063295—21no—
280#13063295—21no—
281#13063295—21no—
282#13063295—21no—
283C4×D172—21no—
284C4×D172—21no—
285C4×D172—21no—
286C4×D172C2311yescharacteristic
287C4×D172C2311yescharacteristic
288C4×D172C2311yescharacteristic
289C4×D172C2311yescharacteristic
290C4×D172C2311yescharacteristic
291C4×D172C2311yescharacteristic
292C4×D172C2311yescharacteristic
293C4×D172C2311yescharacteristic
294C4×D172C2311yescharacteristic
295C4×D172C2311yescharacteristic
296#13063287—21no—
297#13063287—21no—
298#13063287—21no—
299#13063287—21no—
300(C22⋊D43)⋊C4—21no—
301(C22⋊D43)⋊C4—21no—
302#13063284C2311yescharacteristic
303#13063284C2311yescharacteristic
304#13063283—21no—
305C2×C4⋊Dic43C2311yescharacteristic
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#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#13063246C2311yescharacteristic
343#13063246C2311yescharacteristic
344#13063246C2311yescharacteristic
345#13063246C2311yescharacteristic
346#13063246C2311yescharacteristic
347#13063246C2311yescharacteristic
348#13063246C2311yescharacteristic
349#13063246C2311yescharacteristic
350#13063245C2311yescharacteristic
351#13063245C2311yescharacteristic
352#13063245C2311yescharacteristic
353#13063245C2311yescharacteristic
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
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—
482C23×D43—21no—
483C23×D43—21no—
484#41×C43—22no—
485#41×C43—22no—
486#41×C43—41no—
487#41×C43—41no—
488C2×Q8×C43—21no—
489C2×Q8×C43—21no—
490C2×Q8×C43—22no—
491C2×Q8×C43—41no—
492C2×Q8×C43C2×D411yescharacteristic
493C2×Q8×C43C2411yescharacteristic
494C2×Q8×C43C2411yescharacteristic
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×C43—21no—
502C2×D4×C43—21no—
503C2×D4×C43C2×D411yescharacteristic
504C2×D4×C43C2×D411yescharacteristic
505C2×D4×C43C2×D411yescharacteristic
506C2×D4×C43C2411yescharacteristic
507C2×D4×C43C2411yescharacteristic
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×C43—21no—
515C22×C4×C43—21no—
516C22×C4×C43C2×D411yescharacteristic
517C22×C4×C43C2×D411yescharacteristic
518C22×C4×C43C2411yescharacteristic
519C22×C4×C43C2411yescharacteristic
520C22×C4×C43C2411yescharacteristic
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C22×Dic43—21no—
528#10621902—82no—
529D4×D43—82no—
530D4×D43—82no—
531D4×D43—82no—
532#10621898—82no—
533C2×D172—21no—
534C2×D172—21no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172—21no—
538C2×D172—21no—
539C2×D172—21no—
540C2×D172—21no—
541C2×D172—21no—
542C2×D172—22no—
543C2×D172—22no—
544C2×D172—22no—
545C2×D172—41no—
546C2×D172—41no—
547C2×D172—41no—
548C2×D172C2411yescharacteristic
549C2×D172C2411yescharacteristic
550C2×D172C2411yescharacteristic
551C2×D172C2411yescharacteristic
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×C4×D43—21no—
560C2×C4×D43—21no—
561C2×C4×D43—21no—
562C2×C4×D43—82no—
563C2×Dic86—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43—21no—
570C4⋊C4×C43—21no—
571C4⋊C4×C43—21no—
572C4⋊C4×C43—21no—
573C4⋊C4×C43—21no—
574C4⋊C4×C43—21no—
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43—21no—
578C4⋊C4×C43C2×D411yescharacteristic
579C4⋊C4×C43C2×D411yescharacteristic
580C4⋊C4×C43C2×D411yescharacteristic
581C4⋊C4×C43C2×D411yescharacteristic
582C4⋊C4×C43C2×D411yescharacteristic
583C4⋊C4×C43C2×D411yescharacteristic
584C4⋊C4×C43C2×D411yescharacteristic
585C4⋊C4×C43C2×D411yescharacteristic
586C4⋊C4×C43C2×D411yescharacteristic
587C4⋊C4×C43C2×D411yescharacteristic
588C4⋊C4×C43C2411yescharacteristic
589C4⋊C4×C43C2411yescharacteristic
590C4⋊C4×C43C2411yescharacteristic
591C4⋊C4×C43C2411yescharacteristic
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43—21no—
596C22⋊C4×C43—21no—
597C22⋊C4×C43—21no—
598C22⋊C4×C43—21no—
599C22⋊C4×C43—21no—
600C22⋊C4×C43—21no—
601C22⋊C4×C43—21no—
602C22⋊C4×C43—21no—
603C22⋊C4×C43—21no—
604C22⋊C4×C43—21no—
605C22⋊C4×C43—21no—
606C22⋊C4×C43—21no—
607C22⋊C4×C43—21no—
608C22⋊C4×C43C2×D411yescharacteristic
609C22⋊C4×C43C2×D411yescharacteristic
610C22⋊C4×C43C2×D411yescharacteristic
611C22⋊C4×C43C2×D411yescharacteristic
612C22⋊C4×C43C2×D411yescharacteristic
613C22⋊C4×C43C2×D411yescharacteristic
614C22⋊C4×C43C2×D411yescharacteristic
615C22⋊C4×C43C2×D411yescharacteristic
616C22⋊C4×C43C2×D411yescharacteristic
617C22⋊C4×C43C2×D411yescharacteristic
618C42×C43—21no—
619C42×C43—21no—
620C42×C43—21no—
621C42×C43—21no—
622C42×C43—21no—
623C42×C43—21no—
624C42×C43—21no—
625C42×C43—21no—
626C42×C43C2×D411yescharacteristic
627C42×C43C2×D411yescharacteristic
628C42×C43C2411yescharacteristic
629C42×C43C2411yescharacteristic
630C42×C43C2411yescharacteristic
631C42×C43C2411yescharacteristic
632C22⋊Dic43—21no—
633C22⋊Dic43—21no—
634#10621884—22no—
635#10621884—22no—
636#10621884—22no—
637#10621884—22no—
638#10621884—22no—
639#10621884—41no—
640#10621884—41no—
641#10621884#4114yescomplemented
642#10621882—22no—
643#10621882—22no—
644#10621882—22no—
645#10621882—22no—
646#10621882—41no—
647#10621882—41no—
648#10621882—41no—
649#10621882—41no—
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—
657(C2×D43)⋊C4—21no—
658(C2×D43)⋊C4—21no—
659(C2×D43)⋊C4—21no—
660(C2×D43)⋊C4—21no—
661(C2×D43)⋊C4—21no—
662(C2×D43)⋊C4—21no—
663(C2×D43)⋊C4—21no—
664(C2×D43)⋊C4—21no—
665(C2×D43)⋊C4—21no—
666C4⋊Dic43—21no—
667C4⋊Dic43—21no—
668C4⋊Dic43C2411yescharacteristic
669C4⋊Dic43C2411yescharacteristic
670C4⋊Dic43C2411yescharacteristic
671C4⋊Dic43C2411yescharacteristic
672Dic43⋊C4—21no—
673Dic43⋊C4—21no—
674Dic43⋊C4—21no—
675Dic43⋊C4—21no—
676C4×Dic43—21no—
677C4×Dic43—21no—
678#10621877—22no—
679#10621877—22no—
680#10621877—41no—
681#10621877—41no—
682C2×C43⋊C8—22no—
683C2×C43⋊C8—41no—
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687C2×C43⋊C8C2411yescharacteristic
688C2×C43⋊C8C2411yescharacteristic
689C2×C43⋊C8C2411yescharacteristic
690C2×C43⋊C8C2411yescharacteristic
691C2×C43⋊C8C2411yescharacteristic
692C23×C43—21no—
693C23×C43—21no—
694C23×C43C22×D411yescharacteristic
695C23×C43C22×D411yescharacteristic
696C23×C43C22×D411yescharacteristic
697C22×D43—21no—
698C22×D43—21no—
699C22×D43—21no—
700C22×D43—21no—
701C22×D43—42no—
702C22×D43—42no—
703C22×D43—42no—
704C22×D43—42no—
705C22×D43—81no—
706C22×D43—81no—
707C22×D43—81no—
708C22×D43—81no—
709C22×D43—81no—
710Q8×C43—21no—
711Q8×C43—21no—
712Q8×C43—21no—
713Q8×C43—41no—
714Q8×C43—42no—
715Q8×C43—81no—
716Q8×C43C2×#4112yes—
717D4×C43—21no—
718D4×C43—21no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—41no—
722D4×C43—41no—
723D4×C43—41no—
724D4×C43—42no—
725D4×C43—42no—
726D4×C43—81no—
727D4×C43—81no—
728D4×C43—81no—
729D4×C43—81no—
730D4×C43—81no—
731D4×C43—81no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—21no—
742C2×C4×C43—21no—
743C2×C4×C43—21no—
744C2×C4×C43—41no—
745C2×C4×C43—41no—
746C2×C4×C43—42no—
747C2×C4×C43—42no—
748C2×C4×C43—42no—
749C2×C4×C43—81no—
750C2×C4×C43—81no—
751C2×C4×C43—81no—
752C2×C4×C43—81no—
753C2×C4×C43—81no—
754C2×C4×C43C22×D411yescharacteristic
755C2×C4×C43C22×D411yescharacteristic
756C2×C4×C43C22×D411yescharacteristic
757C2×C4×C43C22×D411yescharacteristic
758C2×C4×C43C22×D411yescharacteristic
759C2×C4×C43C22×D411yescharacteristic
760C2×C4×C43C22×D411yescharacteristic
761C2×C4×C43C22×D411yescharacteristic
762C2×C4×C43C22×D411yescharacteristic
763C2×C4×C43C22×D411yescharacteristic
764C2×C4×C43C22×D411yescharacteristic
765C2×C4×C43C2511yescharacteristic
766C22⋊D43—42no—
767C22⋊D43—42no—
768C22⋊D43—81no—
769C22⋊D43—81no—
770C22⋊D43—81no—
771C22⋊D43—81no—
772C2×Dic43—21no—
773C2×Dic43—21no—
774C2×Dic43—21no—
775C2×Dic43—21no—
776C2×Dic43—81no—
777D172—21no—
778D172—21no—
779D172—21no—
780D172—21no—
781D172—21no—
782D172—21no—
783D172—21no—
784D172—42no—
785D172—42no—
786D172—42no—
787D172—42no—
788D172—81no—
789D172—81no—
790D172—81no—
791D172—81no—
792D172—81no—
793D172C2×#4112yes—
794C4×D43—42no—
795C4×D43—42no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802C4×D43—81no—
803C4×D43—81no—
804Dic86—81no—
805C43⋊C8—21no—
806C43⋊C8—21no—
807C43⋊C8—21no—
808C43⋊C8—21no—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8C2×#4112yes—
813#61504—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—21no—
817C22×C43—21no—
818C22×C43—21no—
819C22×C43—21no—
820C22×C43—21no—
821C22×C43—21no—
822C22×C43—21no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43C23×D411yescharacteristic
830C2×D43—22no—
831C2×D43—41no—
832C2×D43—41no—
833C2×D43—41no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—84no—
843C2×D43—162no—
844C2×D43—162no—
845C4×C43—21no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—21no—
850C4×C43—21no—
851C4×C43—21no—
852C4×C43—21no—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43—22no—
857C4×C43—41no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43—41no—
861C4×C43—41no—
862C4×C43C22×#4111yescharacteristic
863C4×C43#58511yescharacteristic
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868#3524D4311yescharacteristic, complemented
869#3519—431no—
870#3399—431no—
871#3388—431no—
872#3370—431no—
873#3368—431no—
874#3351—431no—
875#3347—431no—
876#3347—431no—
877#3326—431no—
878#3325—431no—
879#3321—431no—
880#3318—431no—
881#3310—431no—
882#3309—431no—
883#3274—431no—
884#3265—431no—
885#3265—431no—
886#3179—431no—
887#3176—431no—
888#3171—431no—
889#3126—431no—
890#3122—431no—
891#3119—431no—
892#3118—431no—
893#3115—431no—
894#3114—431no—
895#2967—431no—
896#2949—431no—
897#2946—431no—
898C4×AGL(1,ℤ/8)—431no—
899C2×C43—41no—
900C2×C43—41no—
901C2×C43—41no—
902C2×C43—81no—
903C2×C43—81no—
904C2×C43D4×#4111yescharacteristic
905C2×C43#358511yescharacteristic
906C2×C43#358511yescharacteristic
907D43—42no—
908D43—81no—
909D43—81no—
910D43—81no—
911C2×AGL(1,ℤ/8)—431no—
912C2×AGL(1,ℤ/8)—431no—
913C22×SD16—431no—
914#559—21no—
915#559C2×D4311yescharacteristic, complemented
916#557C2×D4311yescharacteristic, complemented
917#555—21no—
918#555—431no—
919#555C2×D4311yescharacteristic, complemented
920#554—431no—
921#553—21no—
922#553—431no—
923#553—431no—
924#553—861no—
925#553C2×D4311yescharacteristic, complemented
926#552—21no—
927#552C2×D4311yescharacteristic, complemented
928#550—431no—
929#550C2×D4311yescharacteristic, complemented
930#548C2×D4311yescharacteristic, complemented
931#548C2×D4311yescharacteristic, complemented
932#546—861no—
933#546—861no—
934#546—861no—
935D42—431no—
936D42—431no—
937D42—431no—
938#542—21no—
939#542C2×D4311yescharacteristic, complemented
940#540—21no—
941#540—431no—
942#540—431no—
943#540C2×D4311yescharacteristic, complemented
944#538—861no—
945#538—861no—
946#532—431no—
947#529—21no—
948#529—21no—
949#529C2×D4311yescharacteristic
950#529C2×D4311yescharacteristic, complemented
951#525—861no—
952C2×#121—861no—
953#520C2×D4311yescharacteristic, complemented
954#519C2×D4311yescharacteristic, complemented
955#518—431no—
956#518—431no—
957C4×#41C2×D4311yescharacteristic, complemented
958C2×C4×D4—431no—
959#501—431no—
960#501—431no—
961#499—431no—
962#496—431no—
963#496—431no—
964#493—431no—
965#490—431no—
966#490—431no—
967#490—431no—
968#489—431no—
969#488—431no—
970#486—431no—
971#485—431no—
972#483—431no—
973#482—431no—
974#482—431no—
975#482—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482—431no—
980#481—431no—
981#480—431no—
982#480—431no—
983#479—431no—
984#479—431no—
985#479—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#478—431no—
991#476—431no—
992#475—431no—
993#474—431no—
994#474—431no—
995#469—431no—
996#469—431no—
997#469—431no—
998#469—431no—
999#469—431no—
1000#468—431no—
1001#468—431no—
1002#468—431no—
1003#466—431no—
1004#466—431no—
1005#466—431no—
1006#465—431no—
1007#463—431no—
1008#463—431no—
1009#463—431no—
1010#463—431no—
1011#460—431no—
1012#460—431no—
1013#460—431no—
1014#460—431no—
1015#459—431no—
1016#459—431no—
1017#459—431no—
1018#459—431no—
1019#450—431no—
1020#450—431no—
1021#449—431no—
1022#449—431no—
1023#449—431no—
1024#449—431no—
1025#448—431no—
1026#448—431no—
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#447—431no—
1031#446—431no—
1032#446—431no—
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#440—431no—
1041#440—431no—
1042#440—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×SD16—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8—431no—
1061#436—431no—
1062#436—431no—
1063#435—431no—
1064#435—431no—
1065#435—431no—
1066#435—431no—
1067#433—431no—
1068#433—431no—
1069#432—431no—
1070#428—431no—
1071#428—431no—
1072#427—431no—
1073#419—431no—
1074#418—431no—
1075#418—431no—
1076#417—431no—
1077#416—431no—
1078C2×#102—431no—
1079#405—431no—
1080#405—431no—
1081C4×M16—431no—
1082C43#6150411yescharacteristic, complemented, Sylow
1083C2×#41—861no—
1084C2×#41—861no—
1085C2×#41C22×D4311yescharacteristic
1086C2×#41C22×D4311yescharacteristic
1087C22×Q8C22×D4311yescharacteristic
1088C22×D4—431no—
1089C22×D4—431no—
1090C22×D4—431no—
1091C22×D4—861no—
1092C22×D4—861no—
1093C22×D4—861no—
1094C23×C4—861no—
1095AGL(1,ℤ/8)—864no—
1096AGL(1,ℤ/8)—864no—
1097C2×SD16—431no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—431no—
1104C2×SD16—431no—
1105C2×SD16—864no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—431no—
1112C2×D8—431no—
1113C2×D8—431no—
1114C2×M16—431no—
1115C2×M16—431no—
1116C2×M16—431no—
1117C2×M16—431no—
1118C22×C8—431no—
1119C22×C8—431no—
1120C4⋊Q8—21no—
1121C4⋊Q8—431no—
1122C4⋊Q8C22×D4311yescharacteristic
1123#127—21no—
1124#127—431no—
1125#127—431no—
1126#127—431no—
1127#127C22×D4311yescharacteristic
1128#126—21no—
1129#126—21no—
1130#126—21no—
1131#126—21no—
1132#126—861no—
1133#126—861no—
1134#126C22⋊D4311yescharacteristic
1135#126C22⋊D4311yescharacteristic
1136#125—21no—
1137#125—21no—
1138#125—21no—
1139#125—431no—
1140#125—431no—
1141#125C22⋊D4311yescharacteristic
1142#125C22×D4311yescharacteristic
1143#125C22×D4311yescharacteristic
1144#124—21no—
1145#124—21no—
1146#124—21no—
1147#124—21no—
1148#124—21no—
1149#124—21no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124C22⋊D4311yescharacteristic
1154#124C22×D4311yescharacteristic
1155#124C22×D4311yescharacteristic
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—21no—
1161#123—21no—
1162#123—21no—
1163#123—21no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123C22⋊D4311yescharacteristic
1171#123C22⋊D4311yescharacteristic
1172C22⋊Q8—21no—
1173C22⋊Q8—21no—
1174C22⋊Q8—21no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8C22⋊D4311yescharacteristic
1179C22⋊Q8C22×D4311yescharacteristic
1180C22⋊Q8C22×D4311yescharacteristic
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—21no—
1186#121—21no—
1187#121—21no—
1188#121—21no—
1189#121—431no—
1190#121—431no—
1191#121—431no—
1192#121—431no—
1193#121—431no—
1194#121—431no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121C22⋊D4311yescharacteristic
1210#121C22×D4311yescharacteristic
1211#121C22×D4311yescharacteristic
1212#121C22×D4311yescharacteristic
1213#121C22×D4311yescharacteristic
1214#120—861no—
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219#120—861no—
1220C4×Q8—21no—
1221C4×Q8—21no—
1222C4×Q8—21no—
1223C4×Q8C22×D4311yescharacteristic
1224C4×Q8C22×D4311yescharacteristic
1225C4×Q8C22×D4311yescharacteristic
1226C4×Q8C22×D4311yescharacteristic
1227C4×Q8C22×D4311yescharacteristic
1228C4×Q8C22×D4311yescharacteristic
1229C4×Q8C22×D4311yescharacteristic
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—21no—
1233C4×D4—21no—
1234C4×D4—21no—
1235C4×D4—21no—
1236C4×D4—21no—
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—21no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—431no—
1244C4×D4—431no—
1245C4×D4—431no—
1246C4×D4—431no—
1247C4×D4—431no—
1248C4×D4—431no—
1249C4×D4—431no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4C22×D4311yescharacteristic
1260C4×D4C22×D4311yescharacteristic
1261C4×D4C22×D4311yescharacteristic
1262C4×D4C22×D4311yescharacteristic
1263C4×D4C22×D4311yescharacteristic
1264C4×D4C22×D4311yescharacteristic
1265C4×D4C22×D4311yescharacteristic
1266#117—21no—
1267#117—21no—
1268#117—21no—
1269#117—21no—
1270#117—21no—
1271#117—21no—
1272#117—21no—
1273#117—431no—
1274#117—431no—
1275#117—861no—
1276#117C22×D4311yescharacteristic
1277#117C22×D4311yescharacteristic
1278#117C22×D4311yescharacteristic
1279#117C22×D4311yescharacteristic
1280C2×C4⋊C4—21no—
1281C2×C4⋊C4—431no—
1282C2×C4⋊C4—861no—
1283C2×C4⋊C4C22×D4311yescharacteristic
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C22⋊C4—861no—
1289C2×C42—21no—
1290C2×C42C22×D4311yescharacteristic
1291#107—431no—
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107—431no—
1296#107—431no—
1297#107—431no—
1298#107—431no—
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106—431no—
1305#106—431no—
1306#106—431no—
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8—431no—
1312C4⋊C8—431no—
1313#103—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103—431no—
1320#103—431no—
1321#102—431no—
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102—431no—
1341#102—431no—
1342#102—431no—
1343#102—431no—
1344#102—431no—
1345C22⋊C8—431no—
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8—431no—
1350C22⋊C8—431no—
1351#97—431no—
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97—431no—
1356#97—431no—
1357C4×C8—431no—
1358C4×C8—431no—
1359C4×C8—431no—
1360C4×C8—431no—
1361C24—861no—
1362C24—861no—
1363C24—861no—
1364#41—22no—
1365#41—22no—
1366#41—41no—
1367#41—41no—
1368#41—3442no—
1369#41—3442no—
1370C2×Q8—21no—
1371C2×Q8—21no—
1372C2×Q8—22no—
1373C2×Q8—41no—
1374C2×Q8—861no—
1375C2×Q8C2×C22⋊D4311yescharacteristic
1376C2×Q8C23×D4311yescharacteristic
1377C2×Q8C23×D4311yescharacteristic
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—431no—
1387C2×D4—431no—
1388C2×D4—431no—
1389C2×D4—431no—
1390C2×D4—862no—
1391C2×D4—862no—
1392C2×D4—862no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—3442no—
1409C2×D4—3442no—
1410C2×D4—3442no—
1411C2×D4—1721no—
1412C2×D4—1721no—
1413C2×D4—1721no—
1414C2×D4C2×C22⋊D4311yescharacteristic
1415C2×D4C2×C22⋊D4311yescharacteristic
1416C2×D4C2×C22⋊D4311yescharacteristic
1417C2×D4C23×D4311yescharacteristic
1418C2×D4C23×D4311yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—861no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—3442no—
1439C22×C4C2×C22⋊D4311yescharacteristic
1440C22×C4C2×C22⋊D4311yescharacteristic
1441C22×C4C23×D4311yescharacteristic
1442C22×C4C23×D4311yescharacteristic
1443C22×C4C23×D4311yescharacteristic
1444SD16—434no—
1445SD16—862no—
1446SD16—862no—
1447SD16—862no—
1448SD16—862no—
1449SD16—862no—
1450SD16—1721no—
1451SD16—1721no—
1452D8—862no—
1453D8—862no—
1454D8—862no—
1455D8—862no—
1456D8—1721no—
1457D8—1721no—
1458D8—1721no—
1459D8—1721no—
1460M16—862no—
1461M16—862no—
1462M16—1721no—
1463M16—1721no—
1464C2×C8—431no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—431no—
1469C2×C8—431no—
1470C2×C8—431no—
1471C2×C8—431no—
1472C2×C8—862no—
1473C2×C8—1721no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—431no—
1489C4⋊C4—431no—
1490C4⋊C4—431no—
1491C4⋊C4—431no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4C2×C22⋊D4311yescharacteristic
1499C4⋊C4C2×C22⋊D4311yescharacteristic
1500C4⋊C4C2×C22⋊D4311yescharacteristic
1501C4⋊C4C2×C22⋊D4311yescharacteristic
1502C4⋊C4C2×C22⋊D4311yescharacteristic
1503C4⋊C4C2×C22⋊D4311yescharacteristic
1504C4⋊C4C2×C22⋊D4311yescharacteristic
1505C4⋊C4C2×C22⋊D4311yescharacteristic
1506C4⋊C4C2×C22⋊D4311yescharacteristic
1507C4⋊C4C2×C22⋊D4311yescharacteristic
1508C4⋊C4C23×D4311yescharacteristic
1509C4⋊C4C23×D4311yescharacteristic
1510C4⋊C4C23×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4C2×C22⋊D4311yescharacteristic
1547C22⋊C4C2×C22⋊D4311yescharacteristic
1548C22⋊C4C2×C22⋊D4311yescharacteristic
1549C22⋊C4C2×C22⋊D4311yescharacteristic
1550C22⋊C4C2×C22⋊D4311yescharacteristic
1551C22⋊C4C2×C22⋊D4311yescharacteristic
1552C22⋊C4C2×C22⋊D4311yescharacteristic
1553C22⋊C4C2×C22⋊D4311yescharacteristic
1554C22⋊C4C2×C22⋊D4311yescharacteristic
1555C22⋊C4C2×C22⋊D4311yescharacteristic
1556C42—21no—
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—861no—
1565C42—861no—
1566C42C2×C22⋊D4311yescharacteristic
1567C42C2×C22⋊D4311yescharacteristic
1568C42C23×D4311yescharacteristic
1569C42C23×D4311yescharacteristic
1570C42C23×D4311yescharacteristic
1571C42C23×D4311yescharacteristic
1572C23—21no—
1573C23—21no—
1574C23—861no—
1575C23—861no—
1576C23—861no—
1577C23—861no—
1578C23—3441no—
1579C23—3441no—
1580C23—3441no—
1581C23—3441no—
1582C23—3441no—
1583C23—1722no—
1584C23—1722no—
1585C23—1722no—
1586C23—1722no—
1587C23C22×C22⋊D4311yescharacteristic
1588C23C22×C22⋊D4311yescharacteristic
1589C23C22×C22⋊D4311yescharacteristic
1590Q8—21no—
1591Q8—21no—
1592Q8—21no—
1593Q8—41no—
1594Q8—42no—
1595Q8—81no—
1596Q8—3441no—
1597Q8#41×D4312yes—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—41no—
1603D4—41no—
1604D4—41no—
1605D4—42no—
1606D4—42no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—432no—
1614D4—861no—
1615D4—861no—
1616D4—861no—
1617D4—861no—
1618D4—861no—
1619D4—861no—
1620D4—861no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—3441no—
1625D4—3441no—
1626D4—3441no—
1627D4—3441no—
1628D4—3441no—
1629D4—3441no—
1630D4—1722no—
1631D4—1722no—
1632D4—1722no—
1633D4—1722no—
1634D4—1722no—
1635D4—1722no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—42no—
1651C2×C4—42no—
1652C2×C4—42no—
1653C2×C4—81no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
1662C2×C4—3441no—
1663C2×C4—3441no—
1664C2×C4—3441no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—3441no—
1669C2×C4—3441no—
1670C2×C4—3441no—
1671C2×C4—1722no—
1672C2×C4—1722no—
1673C2×C4C22×C22⋊D4311yescharacteristic
1674C2×C4C22×C22⋊D4311yescharacteristic
1675C2×C4C22×C22⋊D4311yescharacteristic
1676C2×C4C22×C22⋊D4311yescharacteristic
1677C2×C4C22×C22⋊D4311yescharacteristic
1678C2×C4C22×C22⋊D4311yescharacteristic
1679C2×C4C22×C22⋊D4311yescharacteristic
1680C2×C4C22×C22⋊D4311yescharacteristic
1681C2×C4C22×C22⋊D4311yescharacteristic
1682C2×C4C22×C22⋊D4311yescharacteristic
1683C2×C4C22×C22⋊D4311yescharacteristic
1684C2×C4C24×D4311yescharacteristic
1685C8—432no—
1686C8—861no—
1687C8—861no—
1688C8—861no—
1689C8—861no—
1690C8—861no—
1691C8—861no—
1692C8—861no—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—862no—
1709C22—3444no—
1710C22—1721no—
1711C22—1721no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—6882no—
1722C22—6882no—
1723C22C23×C22⋊D4311yescharacteristic
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—22no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—21no—
1732C4—21no—
1733C4—21no—
1734C4—21no—
1735C4—21no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—1721no—
1742C4—1721no—
1743C4—1721no—
1744C4—1721no—
1745C4C2×#41×D4311yescharacteristic
1746C4#1458373511yescharacteristic
1747C2—41no—
1748C2—41no—
1749C2—41no—
1750C2—81no—
1751C2—81no—
1752C2—3441no—
1753C2—3441no—
1754C2—3441no—
1755C2—1722no—
1756C2#41×C22⋊D4311yescharacteristic
1757C2#1914937411yescharacteristic
1758C2#1914937411yescharacteristic
subgroupG/H
centerC22C23×C22⋊D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3524C2
socleC22×C43C23×D4
hypercenter#3524D43
hypocenterC43#61504
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. #19148629C2semidirect
2. #19147633C2semidirect
3. #19147534C2semidirect
4. #19147342C2semidirect
5. #19147324C2semidirect
6. #19147155C2semidirect
7. #19147095C2semidirect
8. #19147089C2semidirect
9. #19146848C2semidirect
10. #19146831C2semidirect
11. #19146781C2semidirect
12. #19146730C2semidirect
13. #19146610C2semidirect
14. #19146601C2semidirect
15. #19146215C2semidirect
16. #19146091C2semidirect
17. #19146091C2semidirect
18. #19145272C2semidirect
19. #19145239C2semidirect
20. #19145191C2semidirect
21. #19144886C2semidirect
22. #19144833C2semidirect
23. #19144794C2semidirect
24. #19144773C2semidirect
25. #19144746C2semidirect
26. #19144729C2semidirect
27. #19143582C2semidirect
28. #19143454C2semidirect
29. #19143423C2semidirect
30. C4×#13063350C2semidirect
31. C43×#3524C2semidirect
57. #14583309C22semidirect
58. #14583305C22semidirect
59. #14583298C22semidirect
60. #14583289C22semidirect
61. #14583289C22semidirect
62. #14583275C22semidirect
63. #14583265C22semidirect
64. #14583265C22semidirect
65. #14583263C22semidirect
66. #14583258C22semidirect
67. #14583253C22semidirect
68. #14583247C22semidirect
69. #14583237C22semidirect
70. #14583227C22semidirect
71. #14583223C22semidirect
72. #14583223C22semidirect
73. #14583223C22semidirect
74. #14583223C22semidirect
75. #14583220C22semidirect
76. #14583220C22semidirect
77. #14583220C22semidirect
78. #14583217C22semidirect
79. #14583212C22semidirect
80. #14583210C22semidirect
81. #14583206C22semidirect
82. #14583206C22semidirect
83. #14583206C22semidirect
84. #14583199C22semidirect
87. #14583196C22semidirect
88. #14583196C22semidirect
90. #14583184C22semidirect
91. #14583179C22semidirect
92. #14583176C22semidirect
93. #14583150C22semidirect
94. #14583150C22semidirect
95. #14583150C22semidirect
96. #14583150C22semidirect
97. #14583150C22semidirect
98. #14583147C22semidirect
99. #14583147C22semidirect
100. #14583147C22semidirect
101. #14583133C22semidirect
102. #14583133C22semidirect
103. #14583133C22semidirect
104. #14583130C22semidirect
107. #14583111C22semidirect
108. #14583111C22semidirect
109. #14583099C22semidirect
110. #14583099C22semidirect
111. #14583099C22semidirect
112. #14583099C22semidirect
113. #14583094C22semidirect
114. #14583094C22semidirect
116. #14583091C22semidirect
119. #14583044C22semidirect
120. #14583044C22semidirect
121. #14583044C22semidirect
122. #14583044C22semidirect
123. #14583038C22semidirect
124. #14583038C22semidirect
129. #14583030C22semidirect
130. #14583030C22semidirect
133. #14583009C22semidirect
134. #14583009C22semidirect
135. #14583009C22semidirect
136. #14583009C22semidirect
137. #14583009C22semidirect
142. #14582997C22semidirect
143. #14582997C22semidirect
144. #14582997C22semidirect
145. #14582997C22semidirect
146. #14582997C22semidirect
149. C4×#10621884C22semidirect
150. C4×#10621884C22semidirect
151. C4×#10621884C22semidirect
152. C4×#10621884C22semidirect
153. C4×#10621884C22semidirect
156. C4×#10621882C22semidirect
157. C4×#10621882C22semidirect
158. C4×#10621882C22semidirect
159. #14582977C22semidirect
160. #14582977C22semidirect
161. #14582971C22semidirect
162. #14582971C22semidirect
163. #14582971C22semidirect
164. #14582971C22semidirect
165. #14582960C22semidirect
166. #14582960C22semidirect
167. #14582956C22semidirect
168. #14582942C22semidirect
169. #14582939C22semidirect
170. #14582935C22semidirect
171. #14582908C22semidirect
174. #14582900C22semidirect
175. #14582895C22semidirect
177. #14582855C22semidirect
178. #14582855C22semidirect
179. C4×#10621877C22semidirect
181. C43×#559C22semidirect
182. C43×#557C22semidirect
184. C43×#555C22semidirect
186. C43×#553C22semidirect
188. C43×#552C22semidirect
189. C43×#550C22semidirect
190. C43×#548C22semidirect
191. C43×#548C22semidirect
193. C43×#542C22semidirect
195. C43×#540C22semidirect
199. C43×#529C22semidirect
200. C43×#520C22semidirect
201. C43×#519C22semidirect
202. C4×#41×C43C22semidirect
641. #10621884#41semidirect
868. #3524D43semidirect
915. #559C2×D43semidirect
916. #557C2×D43semidirect
919. #555C2×D43semidirect
925. #553C2×D43semidirect
927. #552C2×D43semidirect
929. #550C2×D43semidirect
930. #548C2×D43semidirect
931. #548C2×D43semidirect
939. #542C2×D43semidirect
943. #540C2×D43semidirect
950. #529C2×D43semidirect
953. #520C2×D43semidirect
954. #519C2×D43semidirect
957. C4×#41C2×D43semidirect
1082. C43#61504semidirect

Maximal subgroups

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

subgroupindex
#191486292
#191476332
#191475342
#191473422
#191473242
#191471552
#191470952
#191470892
#191468482
#191468312
#191467812
#191467302
#191466102
#191466012
#191462152
#191460912
#191452722
#191452392
#191451912
#191448862
#191448332
#191447942
#191447732
#191447462
#191447292
#191435822
#191434542
#191434232
C4×#130633502
C43×#35242
#6150443