Finite Group Databasebeta

← #25979640

Subgroups — #25979640

Order 11008.

1800 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148666C211yesmaximal, characteristic, complemented
2#19148662C211yesmaximal, characteristic, complemented
3#19147670C211yesmaximal, characteristic, complemented
4#19147549C211yesmaximal, characteristic, complemented
5#19147246C211yesmaximal, characteristic, complemented
6#19147167C211yesmaximal, characteristic, complemented
7#19147147C211yesmaximal, characteristic, complemented
8#19147137C211yesmaximal, characteristic, complemented
9#19146514C211yesmaximal, characteristic, complemented
10#19146511C211yesmaximal, characteristic, complemented
11#19146450C211yesmaximal, characteristic, complemented
12#19146444C211yesmaximal, characteristic, complemented
13#19146435C211yesmaximal, characteristic, complemented
14#19146429C211yesmaximal, characteristic, complemented
15#19146201C211yesmaximal, characteristic, complemented
16#19146126C211yesmaximal, characteristic, complemented
17#19146115C211yesmaximal, characteristic, complemented
18#19145270C211yesmaximal, characteristic, complemented
19#19145262C211yesmaximal, characteristic, complemented
20#19145164C211yesmaximal, characteristic, complemented
21#19144816C211yesmaximal, characteristic, complemented
22#19144806C211yesmaximal, characteristic, complemented
23#19144784C211yesmaximal, characteristic, complemented
24#19144778C211yesmaximal, characteristic, complemented
25#19144711C211yesmaximal, characteristic, complemented
26#19144701C211yesmaximal, characteristic, complemented
27#19143572C211yesmaximal, characteristic, complemented
28#19143422C211yesmaximal, characteristic, complemented
29#19143420C211yesmaximal, characteristic, complemented
30C4×#13063346C211yesmaximal, characteristic, complemented
31C43×#3360C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063346C2211yescharacteristic
35#14583623C2211yescharacteristic, complemented
36#14583622C2211yescharacteristic, complemented
37#14583622C2211yescharacteristic, complemented
38#14583609C2211yescharacteristic, complemented
39#14583602C2211yescharacteristic
40#14583600—21no—
41#14583599C2211yescharacteristic
42#14583597—21no—
43#14583591—21no—
44#14583590C2211yescharacteristic
45#14583587C2211yescharacteristic
46#14583585—21no—
47#14583576—21no—
48#14583576—21no—
49#14583576—21no—
50#14583573—21no—
51#14583553C2211yescharacteristic
52#14583552C2211yescharacteristic
53#14583544C2211yescharacteristic
54#14583544C2211yescharacteristic, complemented
55#14583542C2211yescharacteristic
56#14583542C2211yescharacteristic, complemented
57#14583523C2211yescharacteristic
58#14583518C2211yescharacteristic
59#14583512C2211yescharacteristic, complemented
60#14583510C2211yescharacteristic, complemented
61#14583498—21no—
62#14583495—21no—
63#14583489—21no—
64#14583488—21no—
65#14583436C2211yescharacteristic
66#14583435—21no—
67#14583434C2211yescharacteristic, complemented
68#14583428C2211yescharacteristic, complemented
69#14583427—21no—
70C2×#13063320—21no—
71#126×D43—21no—
72#14583381C2211yescharacteristic
73#14583378C2211yescharacteristic
74#14583371C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic, complemented
76C4×#10621902C2211yescharacteristic, complemented
77C4×#10621900C2211yescharacteristic, complemented
78#14583309C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583298C2211yescharacteristic, complemented
81#14583294C2211yescharacteristic, complemented
82#14583291C2211yescharacteristic, complemented
83#14583281C2211yescharacteristic
84#14583254C2211yescharacteristic, complemented
85#14583254C2211yescharacteristic, complemented
86#14583250C2211yescharacteristic, complemented
87#14583243C2211yescharacteristic, complemented
88#14583243C2211yescharacteristic, complemented
89#14583238C2211yescharacteristic, complemented
90#14583238C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic, complemented
92#14583233C2211yescharacteristic, complemented
93#14583231C2211yescharacteristic, complemented
94#14583228C2211yescharacteristic, complemented
95#14583226C2211yescharacteristic, complemented
96#14583225C2211yescharacteristic
97#14583222C2211yescharacteristic
98#14583221C2211yescharacteristic, complemented
99#14583207C2211yescharacteristic, complemented
100#14583207C2211yescharacteristic, complemented
101#14583199C2211yescharacteristic, complemented
102#14583199C2211yescharacteristic, complemented
103#14583196C2211yescharacteristic, complemented
104#14583196C2211yescharacteristic, complemented
105#14583190C2211yescharacteristic, complemented
106#14583179C2211yescharacteristic, complemented
107#14583176C2211yescharacteristic, complemented
108#14583156C2211yescharacteristic, complemented
109#14583156C2211yescharacteristic, complemented
110#14583148C2211yescharacteristic
111#14583144C2211yescharacteristic
112#14583139C2211yescharacteristic, complemented
113#14583139C2211yescharacteristic, complemented
114#14583139C2211yescharacteristic, complemented
115#14583134C2211yescharacteristic
116#14583131C2211yescharacteristic
117#14583131C2211yescharacteristic, complemented
118#14583127C2211yescharacteristic
119#14583127C2211yescharacteristic, complemented
120#14583121C2211yescharacteristic, complemented
121#14583118C2211yescharacteristic, complemented
122#14583115C2211yescharacteristic
123#14583115C2211yescharacteristic
124#14583114C2211yescharacteristic
125#14583111C2211yescharacteristic
126#14583109C2211yescharacteristic, complemented
127#14583106C2211yescharacteristic, complemented
128#14583105C2211yescharacteristic, complemented
129#14583064C2211yescharacteristic
130#14583064C2211yescharacteristic
131#14583064C2211yescharacteristic, complemented
132#14583058C2211yescharacteristic
133#14583058C2211yescharacteristic
134#14583058C2211yescharacteristic, complemented
135#14583051C2211yescharacteristic, complemented
136#14583048C2211yescharacteristic, complemented
137#14583047C2211yescharacteristic
138#14583041C2211yescharacteristic
139#14583034C2211yescharacteristic
140#14583031C2211yescharacteristic
141#14583030C2211yescharacteristic, complemented
142#14583011C2211yescharacteristic
143#14583010C2211yescharacteristic
144#14583009C2211yescharacteristic
145#14583009C2211yescharacteristic
146#14583003C2211yescharacteristic, complemented
147#14583003C2211yescharacteristic, complemented
148#14583002C2211yescharacteristic, complemented
149#14583000C2211yescharacteristic, complemented
150#14582999C2211yescharacteristic, complemented
151#14582998C2211yescharacteristic, complemented
152#14582997C2211yescharacteristic, complemented
153#14582996C2211yescharacteristic, complemented
154C4×#10621885C2211yescharacteristic, complemented
155#14582991C2211yescharacteristic, complemented
156#14582991C2211yescharacteristic, complemented
157#14582990C2211yescharacteristic, complemented
158C4×#10621873C2211yescharacteristic, complemented
159C4×#10621873C2211yescharacteristic, complemented
160SD16×Dic43C2211yescharacteristic, complemented
161#14582986C2211yescharacteristic, complemented
162#14582984C2211yescharacteristic, complemented
163C4×D344C2211yescharacteristic
164C4×#10621882C2211yescharacteristic
165#14582979C2211yescharacteristic
166#14582979C2211yescharacteristic
167#14582976C2211yescharacteristic
168#14582969C2211yescharacteristic, complemented
169#14582969C2211yescharacteristic, complemented
170C8×D172C2211yescharacteristic
171C8×D172C2211yescharacteristic, complemented
172C8×D172C2211yescharacteristic, complemented
173#14582959C2211yescharacteristic, complemented
174#14582959C2211yescharacteristic, complemented
175#14582955C2211yescharacteristic, complemented
176#14582940C2211yescharacteristic, complemented
177#14582938C2211yescharacteristic, complemented
178#14582934C2211yescharacteristic, complemented
179#14582894C2211yescharacteristic
180#14582894C2211yescharacteristic, complemented
181#14582892C2211yescharacteristic
182#14582892C2211yescharacteristic, complemented
183#102×D43C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic, complemented
185#14582853C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic, complemented
188C43×#556C2211yescharacteristic, complemented
189C43×#554C2211yescharacteristic, complemented
190C43×#488C2211yescharacteristic, complemented
191C43×#488C2211yescharacteristic, complemented
192C43×#487C2211yescharacteristic, complemented
193C43×#479C2211yescharacteristic, complemented
194C43×#479C2211yescharacteristic, complemented
195C43×#476C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic
197C43×#463C2211yescharacteristic
198C43×#461C2211yescharacteristic, complemented
199C8×Q8×C43C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic, complemented
201C4×SD16×C43C2211yescharacteristic, complemented
202C4×D8×C43C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C2×#10621900C2311yescharacteristic
207C2×D4×D43C2311yescharacteristic
208C2×D4×D43C2311yescharacteristic
209#13063352—24no—
210#13063349—24no—
211#13063346—24no—
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×D344C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621872C2311yescharacteristic
226C2×#10621872C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229C2×C8×D43C2311yescharacteristic
230C2×C8×D43C2311yescharacteristic
231#13063325C2311yescharacteristic
232#13063325C2311yescharacteristic
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063320—21no—
246#13063320—21no—
247#13063320D411yescharacteristic
248#13063320D411yescharacteristic
249#13063319—21no—
250#13063318—21no—
251#13063318—21no—
252#13063318—21no—
253#13063317C2311yescharacteristic
254#13063317C2311yescharacteristic
255#13063316—21no—
256#13063316—21no—
257#13063316—21no—
258#13063316D411yescharacteristic
259#13063315—21no—
260#13063315—21no—
261#13063315—21no—
262#13063314—21no—
263#13063314—21no—
264#13063314D411yescharacteristic
265#13063313—21no—
266#13063313C2311yescharacteristic
267#13063313C2311yescharacteristic
268#13063311—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063310D411yescharacteristic
277#13063310D411yescharacteristic
278#13063309—21no—
279#13063309—21no—
280#13063309—21no—
281#13063309—21no—
282#13063309—21no—
283#13063308—21no—
284#13063307—21no—
285#13063307—21no—
286#13063307—21no—
287#13063305C2311yescharacteristic
288#13063305C2311yescharacteristic
289#13063305C2311yescharacteristic
290#13063305C2311yescharacteristic
291#13063303—21no—
292#13063303—21no—
293#13063302—21no—
294#13063301—21no—
295#13063301—21no—
296#13063301—21no—
297#13063301D411yescharacteristic
298#13063301C2311yescharacteristic
299#13063301C2311yescharacteristic
300#13063301C2311yescharacteristic
301#13063301C2311yescharacteristic
302#13063300—21no—
303#13063300—21no—
304#13063300D411yescharacteristic
305#13063300C2311yescharacteristic
306#13063300C2311yescharacteristic
307#13063299—21no—
308#13063299—21no—
309#13063299—21no—
310#13063298—21no—
311#13063298—21no—
312#13063298—21no—
313#13063296C2311yescharacteristic
314#13063296C2311yescharacteristic
315#13063295—21no—
316#13063295—21no—
317#13063295—21no—
318#13063295—21no—
319Q8×Dic43—21no—
320Q8×Dic43C2311yescharacteristic
321Q8×Dic43C2311yescharacteristic
322C4×Dic86—21no—
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325#13063290C2311yescharacteristic
326#13063290C2311yescharacteristic
327C4×D172—21no—
328C4×D172—21no—
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332C4×D172C2311yescharacteristic
333C4×D172C2311yescharacteristic
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338#13063287—21no—
339#13063287—21no—
340#13063287—21no—
341#13063287—21no—
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354#13063283—21no—
355#13063283—21no—
356#13063283—21no—
357#13063283—21no—
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063283C2311yescharacteristic
361#13063283C2311yescharacteristic
362#13063282—21no—
363#13063282—21no—
364#13063282C2311yescharacteristic
365#13063282C2311yescharacteristic
366#13063281—21no—
367#13063281—21no—
368#13063281—21no—
369C2×C4⋊Dic43—21no—
370C2×Dic43⋊C4—21no—
371C4⋊C4×D43—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C2×(C2×D43)⋊C4—21no—
377C2×(C2×D43)⋊C4—21no—
378C2×(C2×D43)⋊C4—21no—
379C2×(C2×D43)⋊C4—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C2×C4×Dic43—21no—
385C42×D43—21no—
386C42×D43C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063257C2311yescharacteristic
395#13063257C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398#13063256C2311yescharacteristic
399#13063256C2311yescharacteristic
400C4⋊(C43⋊C8)C2311yescharacteristic
401C4⋊(C43⋊C8)C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063236C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×D8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443#126×C43—21no—
444#126×C43—21no—
445#125×C43C2311yescharacteristic
446#125×C43C2311yescharacteristic
447#124×C43C2311yescharacteristic
448#124×C43C2311yescharacteristic
449C22⋊Q8×C43—21no—
450C22⋊Q8×C43—21no—
451C22⋊Q8×C43—21no—
452C22⋊Q8×C43—21no—
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459C4×D4×C43C2311yescharacteristic
460#117×C43—21no—
461C2×C4⋊C4×C43—21no—
462#107×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C4×C8×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C2×Q8×C43—21no—
484C2×Q8×C43C2×D411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×Q8×C43C2411yescharacteristic
487C2×D4×C43C2411yescharacteristic
488C2×D4×C43C2411yescharacteristic
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C22×Dic43—21no—
500C22×Dic43—21no—
501C22×Dic43—21no—
502C22×Dic43—21no—
503#10621902—22no—
504#10621902—22no—
505#10621902—41no—
506#10621902—41no—
507#10621900—22no—
508#10621900—22no—
509#10621900—41no—
510#10621900—41no—
511D4×D43—22no—
512D4×D43—22no—
513D4×D43—41no—
514D4×D43—41no—
515C2×D172—21no—
516C2×D172—21no—
517C2×D172—21no—
518C2×D172—21no—
519C2×D172C2×D411yescharacteristic
520C2×D172C2×D411yescharacteristic
521C2×D172C2×D411yescharacteristic
522C2×D172C2411yescharacteristic
523C2×D172C2411yescharacteristic
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43C2×D411yescharacteristic
535C2×C4×D43C2×D411yescharacteristic
536C2×C4×D43C2411yescharacteristic
537C2×C4×D43C2411yescharacteristic
538C2×C4×D43C2411yescharacteristic
539C2×Dic86—21no—
540C2×Dic86C2411yescharacteristic
541C2×Dic86C2411yescharacteristic
542SD16×C43—22no—
543SD16×C43—22no—
544D8×C43—22no—
545C2×C8×C43C2411yescharacteristic
546C2×C8×C43C2411yescharacteristic
547C2×C8×C43C2411yescharacteristic
548C2×C8×C43C2411yescharacteristic
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×C43C2×D411yescharacteristic
559C4⋊C4×C43C2×D411yescharacteristic
560C4⋊C4×C43C2×D411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C42×C43—21no—
574C42×C43—21no—
575C42×C43C2411yescharacteristic
576C42×C43C2411yescharacteristic
577C42×C43C2411yescharacteristic
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582#10621885—22no—
583#10621885—41no—
584#10621885—41no—
585#10621885—41no—
586#10621884—22no—
587#10621884—41no—
588#10621883—22no—
589#10621883—41no—
590#10621882—41no—
591#10621882#4114yes—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4C2×D411yescharacteristic
617(C2×D43)⋊C4C2×D411yescharacteristic
618(C2×D43)⋊C4C2×D411yescharacteristic
619(C2×D43)⋊C4C2×D411yescharacteristic
620(C2×D43)⋊C4C2×D411yescharacteristic
621(C2×D43)⋊C4C2×D411yescharacteristic
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624(C2×D43)⋊C4C2×D411yescharacteristic
625(C2×D43)⋊C4C2×D411yescharacteristic
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43C2×D411yescharacteristic
636C4⋊Dic43C2×D411yescharacteristic
637C4⋊Dic43C2×D411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
641C4⋊Dic43C2411yescharacteristic
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43C2×D411yescharacteristic
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2411yescharacteristic
673C2×C43⋊C8C2411yescharacteristic
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677D344—22no—
678#10621873—22no—
679#10621873—22no—
680#10621872—22no—
681#10621872—22no—
682C8×D43—22no—
683C8×D43—41no—
684C8×D43—41no—
685C8×D43—41no—
686C23×C43—21no—
687C23×C43—21no—
688C22×D43—21no—
689C22×D43—21no—
690C22×D43—42no—
691C22×D43—42no—
692C22×D43—81no—
693C22×D43—81no—
694C22×D43—81no—
695C22×D43—81no—
696C22×D43C22×D411yescharacteristic
697C22×D43C22×D411yescharacteristic
698C22×D43C22×D411yescharacteristic
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—21no—
702Q8×C43—21no—
703Q8×C43—41no—
704Q8×C43—81no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43C2×#4112yes—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—81no—
716C2×C4×C43—81no—
717C2×C4×C43—81no—
718C2×C4×C43—81no—
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C2511yescharacteristic
726C22⋊D43—42no—
727C22⋊D43—42no—
728C22⋊D43—42no—
729C22⋊D43—42no—
730C22⋊D43—81no—
731C22⋊D43—81no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—42no—
739C2×Dic43—42no—
740C2×Dic43—81no—
741C2×Dic43—81no—
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747D172—21no—
748D172—21no—
749D172—21no—
750D172—41no—
751D172—41no—
752D172—41no—
753D172—42no—
754D172—42no—
755D172—81no—
756D172—81no—
757D172C2×#4112yes—
758C4×D43—21no—
759C4×D43—21no—
760C4×D43—21no—
761C4×D43—21no—
762C4×D43—21no—
763C4×D43—21no—
764C4×D43—41no—
765C4×D43—41no—
766C4×D43—42no—
767C4×D43—42no—
768C4×D43—81no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776Dic86—21no—
777Dic86—21no—
778Dic86—21no—
779Dic86—21no—
780Dic86—81no—
781C8×C43—21no—
782C8×C43—21no—
783C8×C43—21no—
784C8×C43—21no—
785C43⋊C8—21no—
786C43⋊C8—21no—
787C43⋊C8—21no—
788C43⋊C8C2×#4112yes—
789#61501—431nomaximal, Sylow
790C22×C43—22no—
791C22×C43—41no—
792C22×C43—41no—
793C22×C43—41no—
794C22×C43—41no—
795C22×C43—41no—
796C22×C43C23×D411yescharacteristic
797C2×D43—21no—
798C2×D43—21no—
799C2×D43—21no—
800C2×D43—21no—
801C2×D43—21no—
802C2×D43—21no—
803C2×D43—22no—
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—21no—
807C2×D43—41no—
808C2×D43—41no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43—41no—
812C2×D43—162no—
813C2×D43—162no—
814C4×C43—21no—
815C4×C43—21no—
816C4×C43—21no—
817C4×C43—21no—
818C4×C43—21no—
819C4×C43—21no—
820C4×C43—41no—
821C4×C43—41no—
822C4×C43—41no—
823C4×C43—41no—
824C4×C43—41no—
825C4×C43—41no—
826C4×C43C22×#4111yescharacteristic
827C4×C43#58511yescharacteristic
828Dic43—21no—
829Dic43—21no—
830Dic43—21no—
831Dic43—21no—
832Dic43—21no—
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43—41no—
838Dic43—41no—
839#3521—431no—
840#3521—431no—
841#3402—431no—
842#3389—431no—
843#3360—431no—
844#3360D4311yescharacteristic, complemented
845#3352—431no—
846#3350—431no—
847#3350—431no—
848#3302—431no—
849#3302—431no—
850#3297—431no—
851#3297—431no—
852#3296—431no—
853#3296—431no—
854#3273—431no—
855#3267—431no—
856#3267—431no—
857#3178—431no—
858#3178—431no—
859#3168—431no—
860#3120—431no—
861#3120—431no—
862#3118—431no—
863#3118—431no—
864#3111—431no—
865#3111—431no—
866#2966—431no—
867#2946—431no—
868#2946—431no—
869C4×#135—431no—
870C2×C43—42no—
871C2×C43—81no—
872C2×C43D4×#4111yescharacteristic
873C2×C43#358411yescharacteristic
874C2×C43#358411yescharacteristic
875D43—41no—
876D43—41no—
877D43—41no—
878D43—42no—
879D43—81no—
880C2×AGL(1,ℤ/8)—431no—
881C2×AGL(1,ℤ/8)—431no—
882C2×#135—431no—
883#556—431no—
884#556—431no—
885#556—431no—
886#556C2×D4311yescharacteristic, complemented
887#554—431no—
888#554C2×D4311yescharacteristic, complemented
889#553—431no—
890#553—431no—
891#553—861no—
892#553—861no—
893#552—431no—
894#552—431no—
895#552—861no—
896#552—861no—
897#551—861no—
898#551—861no—
899#551—861no—
900#551—861no—
901#547—431no—
902#547—431no—
903#546—431no—
904#546—431no—
905#546—431no—
906#546—431no—
907#542—431no—
908#542—431no—
909#541—431no—
910#541—431no—
911#539—861no—
912#539—861no—
913#538—861no—
914#538—861no—
915#529—431no—
916#529—431no—
917#529—431no—
918#529—861no—
919#529—861no—
920C2×#126—861no—
921C2×#126—861no—
922#520—431no—
923#520—431no—
924#518—431no—
925#518—431no—
926C4×#41—431no—
927C4×#41—431no—
928#501—431no—
929#501—431no—
930#499—431no—
931#497—431no—
932#497—431no—
933#495—431no—
934#488—431no—
935#488—431no—
936#488C2×D4311yescharacteristic, complemented
937#488C2×D4311yescharacteristic, complemented
938#487—431no—
939#487C2×D4311yescharacteristic, complemented
940#485—431no—
941#485—431no—
942#485—431no—
943#485—431no—
944#484—431no—
945#484—431no—
946#483—431no—
947#483—431no—
948#482—431no—
949#482—431no—
950#482—431no—
951#482—431no—
952#479—431no—
953#479—431no—
954#479C2×D4311yescharacteristic, complemented
955#479C2×D4311yescharacteristic, complemented
956#478—431no—
957#478—431no—
958#478—431no—
959#478—431no—
960#476—431no—
961#476C2×D4311yescharacteristic, complemented
962#474—431no—
963#474—431no—
964#470—431no—
965#470—431no—
966#468—431no—
967#468—431no—
968#467—431no—
969#467—431no—
970#467—431no—
971#466—431no—
972#465—431no—
973#465—431no—
974#465—431no—
975#465—431no—
976#464—431no—
977#464—431no—
978#463—431no—
979#463—431no—
980#463—431no—
981#463—431no—
982#463C2×D4311yescharacteristic
983#463C2×D4311yescharacteristic
984#462—431no—
985#462—431no—
986#461—431no—
987#461C2×D4311yescharacteristic, complemented
988#452—431no—
989#452—431no—
990#452—431no—
991#452—431no—
992#452—431no—
993#452—431no—
994#450—431no—
995#450—431no—
996#449—431no—
997#449—431no—
998#447—431no—
999#447—431no—
1000#446—431no—
1001C8×Q8C2×D4311yescharacteristic, complemented
1002#442—431no—
1003#442—431no—
1004#442—431no—
1005#442—431no—
1006#441—431no—
1007#441—431no—
1008#440—431no—
1009#440—431no—
1010#440—431no—
1011#440—431no—
1012#440—431no—
1013#440—431no—
1014C4×Q16—431no—
1015C4×Q16—431no—
1016C4×Q16—431no—
1017C4×SD16—431no—
1018C4×SD16—431no—
1019C4×SD16—431no—
1020C4×SD16—431no—
1021C4×SD16—431no—
1022C4×SD16—431no—
1023C4×SD16C2×D4311yescharacteristic, complemented
1024C4×SD16C2×D4311yescharacteristic, complemented
1025C4×D8—431no—
1026C4×D8—431no—
1027C4×D8—431no—
1028C4×D8—431no—
1029C4×D8C2×D4311yescharacteristic
1030#436—431no—
1031#435—431no—
1032#435—431no—
1033C8×D4—431no—
1034C8×D4—431no—
1035C8×D4—431no—
1036#433—431no—
1037#433—431no—
1038#432—431no—
1039#428—431no—
1040#428—431no—
1041#427—431no—
1042#416—431no—
1043#416—431no—
1044#416—431no—
1045#416—431no—
1046C2×#102—431no—
1047C2×#102—431no—
1048#405—431no—
1049#405—431no—
1050C2×C4×C8—431no—
1051C43#6150111yescharacteristic, complemented, Sylow
1052C2×#41—431no—
1053C2×#41—431no—
1054C2×#41—431no—
1055C2×#41—431no—
1056C22×D4—431no—
1057C22×D4—431no—
1058AGL(1,ℤ/8)—864no—
1059AGL(1,ℤ/8)—864no—
1060#135—864no—
1061C2×Q16—431no—
1062C2×Q16—431no—
1063C2×Q16—431no—
1064C2×Q16—431no—
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16—431no—
1068C2×SD16—431no—
1069C2×SD16—431no—
1070C2×SD16—431no—
1071C2×SD16C22×D4311yescharacteristic
1072C2×SD16C22×D4311yescharacteristic
1073C2×D8—431no—
1074C2×D8—431no—
1075C2×D8—431no—
1076C2×D8C22×D4311yescharacteristic
1077C2×M16—431no—
1078C2×M16—431no—
1079C22×C8—431no—
1080C22×C8—431no—
1081C22×C8—431no—
1082C22×C8—431no—
1083C4⋊Q8—431no—
1084C4⋊Q8—431no—
1085C4⋊Q8C22×D4311yescharacteristic
1086C4⋊Q8C22×D4311yescharacteristic
1087#126—21no—
1088#126—21no—
1089#126—431no—
1090#126—431no—
1091#126—861no—
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#125—431no—
1110#125—431no—
1111#125—431no—
1112#125—861no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125C22×D4311yescharacteristic
1119#125C22×D4311yescharacteristic
1120#124—431no—
1121#124—431no—
1122#124—431no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124C22×D4311yescharacteristic
1128#124C22×D4311yescharacteristic
1129#123—431no—
1130#123—431no—
1131#123—861no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—431no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166#121—431no—
1167#121—431no—
1168#121—431no—
1169#121—431no—
1170#121—431no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#120—861no—
1180#120—861no—
1181#120—861no—
1182#120—861no—
1183C4×Q8—431no—
1184C4×Q8—431no—
1185C4×Q8—431no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—861no—
1190C4×Q8—861no—
1191C4×Q8C22×D4311yescharacteristic
1192C4×Q8C22×D4311yescharacteristic
1193C4×Q8C22×D4311yescharacteristic
1194C4×D4—431no—
1195C4×D4—431no—
1196C4×D4—431no—
1197C4×D4—431no—
1198C4×D4—431no—
1199C4×D4—431no—
1200C4×D4—431no—
1201C4×D4—431no—
1202C4×D4—431no—
1203C4×D4—431no—
1204C4×D4—431no—
1205C4×D4—861no—
1206C4×D4—861no—
1207C4×D4—861no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4C22×D4311yescharacteristic
1222C4×D4C22×D4311yescharacteristic
1223C4×D4C22×D4311yescharacteristic
1224C4×D4C22×D4311yescharacteristic
1225#117—21no—
1226#117—431no—
1227#117—431no—
1228#117—431no—
1229#117—431no—
1230#117—431no—
1231#117—431no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117—861no—
1241C2×C4⋊C4—21no—
1242C2×C4⋊C4—431no—
1243C2×C4⋊C4—431no—
1244C2×C4⋊C4—861no—
1245C2×C4⋊C4—861no—
1246C2×C4⋊C4—861no—
1247C2×C4⋊C4—861no—
1248C2×C4⋊C4—861no—
1249C2×C22⋊C4—861no—
1250C2×C22⋊C4—861no—
1251C2×C22⋊C4—861no—
1252C2×C22⋊C4—861no—
1253C2×C22⋊C4—861no—
1254C2×C22⋊C4—861no—
1255C2×C22⋊C4—861no—
1256C2×C22⋊C4—861no—
1257C2×C42—431no—
1258C2×C42—861no—
1259C2×C42—861no—
1260#107—431no—
1261#107—431no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107—431no—
1266#107—431no—
1267#107C22×D4311yescharacteristic
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106—431no—
1272#106—431no—
1273#106—431no—
1274#106C22×D4311yescharacteristic
1275#106C22×D4311yescharacteristic
1276C4⋊C8—431no—
1277C4⋊C8—431no—
1278C4⋊C8—431no—
1279C4⋊C8C22×D4311yescharacteristic
1280C4⋊C8C22×D4311yescharacteristic
1281C4⋊C8C22×D4311yescharacteristic
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103C22×D4311yescharacteristic
1293#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
1295#103C22×D4311yescharacteristic
1296#103C22×D4311yescharacteristic
1297#103C22×D4311yescharacteristic
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102C22×D4311yescharacteristic
1311#102C22×D4311yescharacteristic
1312#102C22×D4311yescharacteristic
1313#102C22×D4311yescharacteristic
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8—431no—
1317C22⋊C8—431no—
1318C22⋊C8—431no—
1319C22⋊C8—431no—
1320#97—431no—
1321#97—431no—
1322#97—431no—
1323#97—431no—
1324C4×C8—431no—
1325C4×C8—431no—
1326C4×C8—431no—
1327C4×C8C22×D4311yescharacteristic
1328C4×C8C22×D4311yescharacteristic
1329C4×C8C22×D4311yescharacteristic
1330C24—861no—
1331C24—861no—
1332#41—862no—
1333#41—862no—
1334#41—862no—
1335#41—862no—
1336#41—1721no—
1337#41—1721no—
1338#41—1721no—
1339#41—1721no—
1340C2×Q8—21no—
1341C2×Q8—431no—
1342C2×Q8—431no—
1343C2×Q8—861no—
1344C2×Q8D4×D4311yescharacteristic
1345C2×Q8C23×D4311yescharacteristic
1346C2×Q8C23×D4311yescharacteristic
1347C2×D4—431no—
1348C2×D4—431no—
1349C2×D4—431no—
1350C2×D4—431no—
1351C2×D4—431no—
1352C2×D4—861no—
1353C2×D4—861no—
1354C2×D4—861no—
1355C2×D4—861no—
1356C2×D4—861no—
1357C2×D4—861no—
1358C2×D4—862no—
1359C2×D4—862no—
1360C2×D4—861no—
1361C2×D4—861no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4—1721no—
1365C2×D4—1721no—
1366C2×D4C23×D4311yescharacteristic
1367C2×D4C23×D4311yescharacteristic
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—431no—
1373C22×C4—431no—
1374C22×C4—431no—
1375C22×C4—431no—
1376C22×C4—431no—
1377C22×C4—861no—
1378C22×C4—861no—
1379C22×C4—861no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—861no—
1383C22×C4—861no—
1384C22×C4—861no—
1385C22×C4—861no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4—861no—
1391Q16—862no—
1392Q16—1721no—
1393Q16—1721no—
1394Q16—1721no—
1395SD16—22no—
1396SD16—22no—
1397SD16—862no—
1398SD16—862no—
1399SD16—862no—
1400SD16—862no—
1401SD16—1721no—
1402SD16—1721no—
1403D8—22no—
1404D8—434no—
1405D8—862no—
1406D8—1721no—
1407M16—862no—
1408M16—862no—
1409C2×C8—431no—
1410C2×C8—431no—
1411C2×C8—431no—
1412C2×C8—431no—
1413C2×C8—862no—
1414C2×C8—1721no—
1415C2×C8—1721no—
1416C2×C8—1721no—
1417C2×C8C23×D4311yescharacteristic
1418C2×C8C23×D4311yescharacteristic
1419C2×C8C23×D4311yescharacteristic
1420C2×C8C23×D4311yescharacteristic
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—431no—
1433C4⋊C4—431no—
1434C4⋊C4—431no—
1435C4⋊C4—431no—
1436C4⋊C4—431no—
1437C4⋊C4—431no—
1438C4⋊C4—431no—
1439C4⋊C4—431no—
1440C4⋊C4—431no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4D4×D4311yescharacteristic
1465C4⋊C4D4×D4311yescharacteristic
1466C4⋊C4D4×D4311yescharacteristic
1467C4⋊C4C23×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C4⋊C4C23×D4311yescharacteristic
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—431no—
1485C22⋊C4—431no—
1486C22⋊C4—431no—
1487C22⋊C4—431no—
1488C22⋊C4—431no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊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⋊C4—861no—
1516C22⋊C4—861no—
1517C42—21no—
1518C42—21no—
1519C42—431no—
1520C42—431no—
1521C42—431no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42C23×D4311yescharacteristic
1533C42C23×D4311yescharacteristic
1534C42C23×D4311yescharacteristic
1535C23—21no—
1536C23—21no—
1537C23—431no—
1538C23—431no—
1539C23—431no—
1540C23—861no—
1541C23—861no—
1542C23—3441no—
1543C23—3441no—
1544C23—3441no—
1545C23—3441no—
1546C23—1722no—
1547C23—1722no—
1548Q8—21no—
1549Q8—21no—
1550Q8—21no—
1551Q8—21no—
1552Q8—41no—
1553Q8—81no—
1554Q8—861no—
1555Q8—861no—
1556Q8—861no—
1557Q8—861no—
1558Q8—3441no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—432no—
1563D4—861no—
1564D4—861no—
1565D4—861no—
1566D4—3441no—
1567D4—3441no—
1568D4—3441no—
1569D4—3441no—
1570D4—1721no—
1571D4—1721no—
1572D4—1721no—
1573D4—1722no—
1574D4—1722no—
1575D4—1722no—
1576D4—1722no—
1577D4—1722no—
1578D4—1722no—
1579D4#41×D4312yes—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—81no—
1587C2×C4—81no—
1588C2×C4—81no—
1589C2×C4—81no—
1590C2×C4—431no—
1591C2×C4—431no—
1592C2×C4—431no—
1593C2×C4—431no—
1594C2×C4—431no—
1595C2×C4—861no—
1596C2×C4—861no—
1597C2×C4—861no—
1598C2×C4—861no—
1599C2×C4—861no—
1600C2×C4—861no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—3441no—
1608C2×C4—3441no—
1609C2×C4—3441no—
1610C2×C4—3441no—
1611C2×C4—3441no—
1612C2×C4—3441no—
1613C2×C4—3441no—
1614C2×C4—3441no—
1615C2×C4—3441no—
1616C2×C4—3441no—
1617C2×C4—1721no—
1618C2×C4—1721no—
1619C2×C4—1722no—
1620C2×C4—1722no—
1621C2×C4—1722no—
1622C2×C4—1722no—
1623C2×C4C2×D4×D4311yescharacteristic
1624C2×C4C2×D4×D4311yescharacteristic
1625C2×C4C2×D4×D4311yescharacteristic
1626C2×C4C2×D4×D4311yescharacteristic
1627C2×C4C2×D4×D4311yescharacteristic
1628C2×C4C2×D4×D4311yescharacteristic
1629C2×C4C24×D4311yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—432no—
1635C8—861no—
1636C8—861no—
1637C8—861no—
1638C22—22no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—861no—
1645C22—861no—
1646C22—861no—
1647C22—862no—
1648C22—861no—
1649C22—861no—
1650C22—861no—
1651C22—861no—
1652C22—861no—
1653C22—861no—
1654C22—1721no—
1655C22—1721no—
1656C22—1721no—
1657C22—1721no—
1658C22—1721no—
1659C22—6882no—
1660C22—6882no—
1661C22C22×D4×D4311yescharacteristic
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—861no—
1675C4—861no—
1676C4—861no—
1677C4—861no—
1678C4—861no—
1679C4—1721no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4—1721no—
1684C4—1721no—
1685C4C2×#41×D4311yescharacteristic
1686C4#1458373611yescharacteristic
1687C2—42no—
1688C2—81no—
1689C2—3441no—
1690C2—1721no—
1691C2—1721no—
1692C2—1721no—
1693C2—1722no—
1694C2#1914808411yescharacteristic
1695C2#1914936411yescharacteristic
1696C2#1914936711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3360C2
socleC22×C43C23×D4
hypercenter#3360D43
hypocenterC43#61501
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3360

Complements

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

NH ≅ G/Ntype
1. #19148666C2semidirect
2. #19148662C2semidirect
3. #19147670C2semidirect
4. #19147549C2semidirect
5. #19147246C2semidirect
6. #19147167C2semidirect
7. #19147147C2semidirect
8. #19147137C2semidirect
9. #19146514C2semidirect
10. #19146511C2semidirect
11. #19146450C2semidirect
12. #19146444C2semidirect
13. #19146435C2semidirect
14. #19146429C2semidirect
15. #19146201C2semidirect
16. #19146126C2semidirect
17. #19146115C2semidirect
18. #19145270C2semidirect
19. #19145262C2semidirect
20. #19145164C2semidirect
21. #19144816C2semidirect
22. #19144806C2semidirect
23. #19144784C2semidirect
24. #19144778C2semidirect
25. #19144711C2semidirect
26. #19144701C2semidirect
27. #19143572C2semidirect
28. #19143422C2semidirect
29. #19143420C2semidirect
30. C4×#13063346C2semidirect
31. C43×#3360C2semidirect
35. #14583623C22semidirect
36. #14583622C22semidirect
37. #14583622C22semidirect
38. #14583609C22semidirect
54. #14583544C22semidirect
56. #14583542C22semidirect
59. #14583512C22semidirect
60. #14583510C22semidirect
67. #14583434C22semidirect
68. #14583428C22semidirect
74. #14583371C22semidirect
75. #14583371C22semidirect
76. C4×#10621902C22semidirect
77. C4×#10621900C22semidirect
78. #14583309C22semidirect
79. #14583305C22semidirect
80. #14583298C22semidirect
81. #14583294C22semidirect
82. #14583291C22semidirect
84. #14583254C22semidirect
85. #14583254C22semidirect
86. #14583250C22semidirect
87. #14583243C22semidirect
88. #14583243C22semidirect
89. #14583238C22semidirect
90. #14583238C22semidirect
91. #14583236C22semidirect
92. #14583233C22semidirect
93. #14583231C22semidirect
94. #14583228C22semidirect
95. #14583226C22semidirect
98. #14583221C22semidirect
99. #14583207C22semidirect
100. #14583207C22semidirect
101. #14583199C22semidirect
102. #14583199C22semidirect
103. #14583196C22semidirect
104. #14583196C22semidirect
105. #14583190C22semidirect
106. #14583179C22semidirect
107. #14583176C22semidirect
108. #14583156C22semidirect
109. #14583156C22semidirect
112. #14583139C22semidirect
113. #14583139C22semidirect
114. #14583139C22semidirect
117. #14583131C22semidirect
119. #14583127C22semidirect
120. #14583121C22semidirect
121. #14583118C22semidirect
126. #14583109C22semidirect
127. #14583106C22semidirect
128. #14583105C22semidirect
131. #14583064C22semidirect
134. #14583058C22semidirect
135. #14583051C22semidirect
136. #14583048C22semidirect
141. #14583030C22semidirect
146. #14583003C22semidirect
147. #14583003C22semidirect
148. #14583002C22semidirect
149. #14583000C22semidirect
150. #14582999C22semidirect
151. #14582998C22semidirect
152. #14582997C22semidirect
153. #14582996C22semidirect
154. C4×#10621885C22semidirect
155. #14582991C22semidirect
156. #14582991C22semidirect
157. #14582990C22semidirect
158. C4×#10621873C22semidirect
159. C4×#10621873C22semidirect
160. SD16×Dic43C22semidirect
161. #14582986C22semidirect
162. #14582984C22semidirect
168. #14582969C22semidirect
169. #14582969C22semidirect
171. C8×D172C22semidirect
172. C8×D172C22semidirect
173. #14582959C22semidirect
174. #14582959C22semidirect
175. #14582955C22semidirect
176. #14582940C22semidirect
177. #14582938C22semidirect
178. #14582934C22semidirect
180. #14582894C22semidirect
182. #14582892C22semidirect
183. #102×D43C22semidirect
184. #102×D43C22semidirect
185. #14582853C22semidirect
186. #14582853C22semidirect
187. C4×C8×D43C22semidirect
188. C43×#556C22semidirect
189. C43×#554C22semidirect
190. C43×#488C22semidirect
191. C43×#488C22semidirect
192. C43×#487C22semidirect
193. C43×#479C22semidirect
194. C43×#479C22semidirect
195. C43×#476C22semidirect
198. C43×#461C22semidirect
199. C8×Q8×C43C22semidirect
200. C4×SD16×C43C22semidirect
201. C4×SD16×C43C22semidirect
844. #3360D43semidirect
886. #556C2×D43semidirect
888. #554C2×D43semidirect
936. #488C2×D43semidirect
937. #488C2×D43semidirect
939. #487C2×D43semidirect
954. #479C2×D43semidirect
955. #479C2×D43semidirect
961. #476C2×D43semidirect
987. #461C2×D43semidirect
1001. C8×Q8C2×D43semidirect
1023. C4×SD16C2×D43semidirect
1024. C4×SD16C2×D43semidirect
1051. C43#61501semidirect

Maximal subgroups

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

subgroupindex
#191486662
#191486622
#191476702
#191475492
#191472462
#191471672
#191471472
#191471372
#191465142
#191465112
#191464502
#191464442
#191464352
#191464292
#191462012
#191461262
#191461152
#191452702
#191452622
#191451642
#191448162
#191448062
#191447842
#191447782
#191447112
#191447012
#191435722
#191434222
#191434202
C4×#130633462
C43×#33602
#6150143