Finite Group Databasebeta

← #25979881

Subgroups — #25979881

Order 11008.

1832 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148574C211yesmaximal, characteristic, complemented
2#19148538C211yesmaximal, characteristic, complemented
3#19147650C211yesmaximal, characteristic, complemented
4#19147376C211yesmaximal, characteristic, complemented
5#19147348C211yesmaximal, characteristic, complemented
6#19147168C211yesmaximal, characteristic, complemented
7#19147079C211yesmaximal, characteristic, complemented
8#19147034C211yesmaximal, characteristic, complemented
9#19146897C211yesmaximal, characteristic, complemented
10#19146808C211yesmaximal, characteristic, complemented
11#19146688C211yesmaximal, characteristic, complemented
12#19146673C211yesmaximal, characteristic, complemented
13#19146613C211yesmaximal, characteristic, complemented
14#19146568C211yesmaximal, characteristic, complemented
15#19146196C211yesmaximal, characteristic, complemented
16#19146122C211yesmaximal, characteristic, complemented
17#19146122C211yesmaximal, characteristic, complemented
18#19145268C211yesmaximal, characteristic, complemented
19#19145225C211yesmaximal, characteristic, complemented
20#19145203C211yesmaximal, characteristic, complemented
21#19144862C211yesmaximal, characteristic, complemented
22#19144849C211yesmaximal, characteristic, complemented
23#19144814C211yesmaximal, characteristic, complemented
24#19144799C211yesmaximal, characteristic, complemented
25#19144709C211yesmaximal, characteristic, complemented
26#19144696C211yesmaximal, characteristic, complemented
27#19143579C211yesmaximal, characteristic, complemented
28#19143465C211yesmaximal, characteristic, complemented
29#19143424C211yesmaximal, characteristic, complemented
30#19143406C211yesmaximal, characteristic, complemented
31C43×#3389C211yesmaximal, characteristic, complemented
32C2×#13063349C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063344C2211yescharacteristic
35#14583634C2211yescharacteristic
36#14583628C2211yescharacteristic, complemented
37#14583610C2211yescharacteristic, complemented
38#14583602C2211yescharacteristic
39#14583597—21no—
40#14583597—21no—
41#14583591—21no—
42#14583591—21no—
43#14583591—21no—
44#14583587C2211yescharacteristic
45#14583587C2211yescharacteristic
46#14583587C2211yescharacteristic, complemented
47#14583576—21no—
48#14583576—21no—
49#14583553C2211yescharacteristic
50#14583553C2211yescharacteristic, complemented
51#14583553C2211yescharacteristic, complemented
52#14583552C2211yescharacteristic
53#14583544C2211yescharacteristic
54#14583544C2211yescharacteristic
55#14583540—21no—
56D4×D172C2211yescharacteristic
57#14583523C2211yescharacteristic
58#14583512C2211yescharacteristic, complemented
59#14583512C2211yescharacteristic, complemented
60#14583505C2211yescharacteristic
61#14583498—21no—
62#14583498—21no—
63#14583498—21no—
64#14583489—21no—
65#14583454C2211yescharacteristic, complemented
66#14583436C2211yescharacteristic
67#14583435—21no—
68#14583434C2211yescharacteristic
69C2×#13063316—21no—
70#14583412—21no—
71C2×#13063310—21no—
72#14583378C2211yescharacteristic
73#14583378C2211yescharacteristic, complemented
74#14583378C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic
76C4×#10621900C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic
78#14583293C2211yescharacteristic, complemented
79#14583293C2211yescharacteristic, complemented
80#14583272C2211yescharacteristic
81#14583269C2211yescharacteristic, complemented
82#14583269C2211yescharacteristic, complemented
83#14583265C2211yescharacteristic
84#14583261C2211yescharacteristic, complemented
85#14583256C2211yescharacteristic, complemented
86#14583251C2211yescharacteristic, complemented
87#14583243C2211yescharacteristic, complemented
88#14583242C2211yescharacteristic, complemented
89#14583242C2211yescharacteristic, complemented
90#14583236C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic, complemented
92#14583236C2211yescharacteristic, complemented
93#14583236C2211yescharacteristic, complemented
94#14583231C2211yescharacteristic, complemented
95#14583225C2211yescharacteristic
96#14583219C2211yescharacteristic, complemented
97#14583214C2211yescharacteristic
98#14583214C2211yescharacteristic, complemented
99#14583203C2211yescharacteristic, complemented
100#14583203C2211yescharacteristic, complemented
101#14583203C2211yescharacteristic, complemented
102#14583196C2211yescharacteristic, complemented
103#14583191C2211yescharacteristic, complemented
104#14583176C2211yescharacteristic, complemented
105#14583158C2211yescharacteristic, complemented
106#14583158C2211yescharacteristic, complemented
107#14583158C2211yescharacteristic, complemented
108#14583146C2211yescharacteristic
109#14583146C2211yescharacteristic
110#14583146C2211yescharacteristic
111#14583146C2211yescharacteristic, complemented
112#14583146C2211yescharacteristic, complemented
113#14583141C2211yescharacteristic, complemented
114#14583129C2211yescharacteristic
115#14583129C2211yescharacteristic, complemented
116#14583129C2211yescharacteristic, complemented
117#14583122C2211yescharacteristic, complemented
118#14583122C2211yescharacteristic, complemented
119#14583114C2211yescharacteristic, complemented
120#14583114C2211yescharacteristic, complemented
121#14583110C2211yescharacteristic, complemented
122#14583105C2211yescharacteristic, complemented
123#14583105C2211yescharacteristic, complemented
124#14583104C2211yescharacteristic
125#14583104C2211yescharacteristic
126#14583104C2211yescharacteristic
127#14583100C2211yescharacteristic
128#14583094C2211yescharacteristic
129#14583062C2211yescharacteristic
130#14583062C2211yescharacteristic
131#14583062C2211yescharacteristic, complemented
132#14583062C2211yescharacteristic, complemented
133#14583051C2211yescharacteristic
134#14583051C2211yescharacteristic
135#14583051C2211yescharacteristic
136#14583051C2211yescharacteristic
137#14583045C2211yescharacteristic
138#14583045C2211yescharacteristic
139#14583045C2211yescharacteristic, complemented
140#14583045C2211yescharacteristic, complemented
141#14583030C2211yescharacteristic, complemented
142#14583009C2211yescharacteristic, complemented
143#14583008C2211yescharacteristic, complemented
144#14583005C2211yescharacteristic, complemented
145#14583001C2211yescharacteristic, complemented
146#14583001C2211yescharacteristic, complemented
147#14582999C2211yescharacteristic
148#14582999C2211yescharacteristic
149#14582999C2211yescharacteristic, complemented
150#14582998C2211yescharacteristic, complemented
151#14582998C2211yescharacteristic, complemented
152#14582998C2211yescharacteristic, complemented
153#14582996C2211yescharacteristic
154#14582996C2211yescharacteristic
155#14582996C2211yescharacteristic, complemented
156C4×Dic172C2211yescharacteristic, complemented
157#14582993C2211yescharacteristic, complemented
158#14582993C2211yescharacteristic, complemented
159#14582990C2211yescharacteristic
160#14582986C2211yescharacteristic, complemented
161#14582986C2211yescharacteristic, complemented
162#14582986C2211yescharacteristic, complemented
163C4×#10621883C2211yescharacteristic
164D8×Dic43C2211yescharacteristic
165C4×#10621882C2211yescharacteristic, complemented
166#14582979C2211yescharacteristic, complemented
167#14582978C2211yescharacteristic
168#14582976C2211yescharacteristic, complemented
169#14582972C2211yescharacteristic, complemented
170#14582972C2211yescharacteristic, complemented
171#14582969C2211yescharacteristic
172#14582969C2211yescharacteristic, complemented
173#14582959C2211yescharacteristic, complemented
174#14582959C2211yescharacteristic, complemented
175#14582955C2211yescharacteristic, complemented
176#14582938C2211yescharacteristic, complemented
177#14582938C2211yescharacteristic, complemented
178#107×D43C2211yescharacteristic, complemented
179#14582902C2211yescharacteristic
180#14582897C2211yescharacteristic
181#14582897C2211yescharacteristic, complemented
182#14582897C2211yescharacteristic, complemented
183#14582892C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic
185#14582856C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187#14582851C2211yescharacteristic, complemented
188C43×#554C2211yescharacteristic
189C43×#554C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#501C2211yescharacteristic, complemented
192C43×#499C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic
194C43×#478C2211yescharacteristic
195C43×#478C2211yescharacteristic, complemented
196C43×#478C2211yescharacteristic, complemented
197C43×#474C2211yescharacteristic
198C43×#474C2211yescharacteristic, complemented
199C43×#446C2211yescharacteristic, complemented
200C43×#442C2211yescharacteristic
201C43×#442C2211yescharacteristic
202C4×D8×C43C2211yescharacteristic
203C2×#10621902—21no—
204C2×#10621900C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C2×#10621900C2311yescharacteristic
207C2×#10621900C2311yescharacteristic
208C22×D172—21no—
209C2×D4×D43C2311yescharacteristic
210C2×D4×D43C2311yescharacteristic
211C22×C4×D43—21no—
212#13063349—24no—
213#13063349—24no—
214#13063344—24no—
215C2×Dic172C2311yescharacteristic
216C2×Dic172C2311yescharacteristic
217C2×Dic172C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621873C2311yescharacteristic
222C2×#10621873C2311yescharacteristic
223C2×#10621873C2311yescharacteristic
224C2×#10621883C2311yescharacteristic
225C2×#10621883C2311yescharacteristic
226C2×#10621883C2311yescharacteristic
227C2×#10621883C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×#10621872C2311yescharacteristic
233C2×#10621872C2311yescharacteristic
234C2×C8×D43C2311yescharacteristic
235C2×C8×D43C2311yescharacteristic
236#13063325C2311yescharacteristic
237#13063325C2311yescharacteristic
238#13063325C2311yescharacteristic
239#13063322C2311yescharacteristic
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063320—21no—
246#13063320—21no—
247#13063320—21no—
248#13063320—21no—
249#13063320—21no—
250#13063320D411yescharacteristic
251#13063320D411yescharacteristic
252#13063316—21no—
253#13063316—21no—
254#13063316—21no—
255#13063316—21no—
256#13063316—21no—
257#13063316—21no—
258#13063316—21no—
259#13063316—21no—
260#13063316—21no—
261#13063316—21no—
262#13063316—21no—
263#13063316—21no—
264#13063316D411yescharacteristic
265#13063314—21no—
266#13063314—21no—
267#13063314D411yescharacteristic
268#13063313C2311yescharacteristic
269#13063313C2311yescharacteristic
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063310—21no—
277#13063310—21no—
278#13063310—21no—
279#13063310—21no—
280#13063310—21no—
281#13063310—21no—
282#13063310D411yescharacteristic
283#13063310D411yescharacteristic
284#13063309—21no—
285#13063309—21no—
286#13063309—21no—
287#13063309—21no—
288#13063309—21no—
289#13063309—21no—
290#13063309—21no—
291#13063309—21no—
292#13063305C2311yescharacteristic
293#13063305C2311yescharacteristic
294#13063305C2311yescharacteristic
295#13063305C2311yescharacteristic
296#13063305C2311yescharacteristic
297#13063305C2311yescharacteristic
298#13063305C2311yescharacteristic
299#13063305C2311yescharacteristic
300#13063301—21no—
301#13063301—21no—
302#13063301—21no—
303#13063301—21no—
304#13063301—21no—
305#13063301D411yescharacteristic
306#13063300—21no—
307#13063300—21no—
308#13063300—21no—
309#13063300D411yescharacteristic
310#13063300C2311yescharacteristic
311#13063300C2311yescharacteristic
312#13063300C2311yescharacteristic
313#13063300C2311yescharacteristic
314#13063299—21no—
315#13063299—21no—
316#13063299—21no—
317#13063299—21no—
318#13063299—21no—
319#13063299—21no—
320#13063295—21no—
321#13063295—21no—
322#13063295—21no—
323#13063295—21no—
324Q8×Dic43—21no—
325Q8×Dic43—21no—
326C4×Dic86C2311yescharacteristic
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330#13063290C2311yescharacteristic
331#13063290C2311yescharacteristic
332#13063290C2311yescharacteristic
333#13063290C2311yescharacteristic
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336C4×D172C2311yescharacteristic
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341#13063287—21no—
342#13063287—21no—
343#13063287—21no—
344#13063287—21no—
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359#13063283—21no—
360#13063283—21no—
361#13063283—21no—
362#13063283—21no—
363#13063283—21no—
364#13063283C2311yescharacteristic
365#13063283C2311yescharacteristic
366#13063282C2311yescharacteristic
367#13063282C2311yescharacteristic
368#13063281—21no—
369#13063281—21no—
370#13063281—21no—
371#13063281—21no—
372C2×C4⋊Dic43—21no—
373C2×C4⋊Dic43—21no—
374C2×C4⋊Dic43—21no—
375C2×Dic43⋊C4—21no—
376C2×Dic43⋊C4—21no—
377C2×Dic43⋊C4—21no—
378C4⋊C4×D43C2311yescharacteristic
379C4⋊C4×D43C2311yescharacteristic
380C4⋊C4×D43C2311yescharacteristic
381C4⋊C4×D43C2311yescharacteristic
382C2×(C2×D43)⋊C4—21no—
383C2×(C2×D43)⋊C4—21no—
384C2×(C2×D43)⋊C4—21no—
385C22⋊C4×D43—21no—
386C22⋊C4×D43—21no—
387C2×C4×Dic43—21no—
388C42×D43C2311yescharacteristic
389#13063259C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063248C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
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×D8×C43C2311yescharacteristic
439C4⋊Q8×C43C2311yescharacteristic
440C4⋊Q8×C43C2311yescharacteristic
441#125×C43C2311yescharacteristic
442#125×C43C2311yescharacteristic
443#125×C43C2311yescharacteristic
444#125×C43C2311yescharacteristic
445C22⋊Q8×C43—21no—
446C22⋊Q8×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43—21no—
450C22⋊Q8×C43—21no—
451C4×Q8×C43C2311yescharacteristic
452C4×D4×C43C2311yescharacteristic
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C2×C4⋊C4×C43—21no—
459C2×C4⋊C4×C43—21no—
460#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469C4⋊C8×C43C2311yescharacteristic
470C4⋊C8×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C2×Q8×C43—21no—
484C2×Q8×C43—21no—
485C2×Q8×C43C2×D411yescharacteristic
486C2×D4×C43C2411yescharacteristic
487C2×D4×C43C2411yescharacteristic
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C22×Dic43—21no—
501C22×Dic43—21no—
502C22×Dic43—21no—
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43—21no—
506#10621902—82no—
507#10621900—22no—
508#10621900—22no—
509#10621900—22no—
510#10621900—22no—
511#10621900—41no—
512#10621900—41no—
513#10621900—41no—
514#10621900—41no—
515D4×D43—22no—
516D4×D43—22no—
517D4×D43—41no—
518D4×D43—41no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172—21no—
523C2×D172—21no—
524C2×D172—21no—
525C2×D172—82no—
526C2×D172C2×D411yescharacteristic
527C2×D172C2×D411yescharacteristic
528C2×D172C2×D411yescharacteristic
529C2×D172C2411yescharacteristic
530C2×D172C2411yescharacteristic
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—82no—
540C2×C4×D43C2×D411yescharacteristic
541C2×C4×D43C2×D411yescharacteristic
542C2×C4×D43C2411yescharacteristic
543C2×C4×D43C2411yescharacteristic
544C2×C4×D43C2411yescharacteristic
545C2×Dic86C2411yescharacteristic
546C2×Dic86C2411yescharacteristic
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549D8×C43#4114yescomplemented
550C2×C8×C43C2411yescharacteristic
551C2×C8×C43C2411yescharacteristic
552C2×C8×C43C2411yescharacteristic
553C2×C8×C43C2411yescharacteristic
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43C2×D411yescharacteristic
565C4⋊C4×C43C2×D411yescharacteristic
566C4⋊C4×C43C2×D411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
572C4⋊C4×C43C2411yescharacteristic
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C42×C43C2411yescharacteristic
580C42×C43C2411yescharacteristic
581C42×C43C2411yescharacteristic
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584#10621883—22no—
585#10621883—22no—
586#10621883—22no—
587#10621883—22no—
588#10621882—22no—
589#10621882—22no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
613(C2×D43)⋊C4C2×D411yescharacteristic
614(C2×D43)⋊C4C2×D411yescharacteristic
615(C2×D43)⋊C4C2×D411yescharacteristic
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
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
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⋊Dic43—21no—
636C4⋊Dic43C2×D411yescharacteristic
637C4⋊Dic43C2×D411yescharacteristic
638C4⋊Dic43C2×D411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
641Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43C2×D411yescharacteristic
668C4×Dic43C2×D411yescharacteristic
669C4×Dic43C2411yescharacteristic
670C2×C43⋊C8C2411yescharacteristic
671C2×C43⋊C8C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673C2×C43⋊C8C2411yescharacteristic
674Dic172—22no—
675Dic172—41no—
676Dic172—41no—
677#10621873—22no—
678#10621873—22no—
679#10621873—41no—
680#10621873—41no—
681#10621873—41no—
682#10621873—41no—
683#10621872—22no—
684#10621872—22no—
685#10621872—41no—
686#10621872—41no—
687C8×D43—22no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43—21no—
691C22×D43—21no—
692C22×D43—21no—
693C22×D43—42no—
694C22×D43—42no—
695C22×D43—42no—
696C22×D43—81no—
697C22×D43—81no—
698C22×D43—81no—
699C22×D43C22×D411yescharacteristic
700C22×D43C22×D411yescharacteristic
701C22×D43C22×D411yescharacteristic
702Q8×C43—41no—
703Q8×C43—81no—
704Q8×C43—81no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43C2×#4112yes—
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—42no—
716C2×C4×C43—81no—
717C2×C4×C43—81no—
718C2×C4×C43—81no—
719C2×C4×C43—81no—
720C2×C4×C43—81no—
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C2511yescharacteristic
728C22⋊D43—42no—
729C22⋊D43—42no—
730C22⋊D43—42no—
731C22⋊D43—42no—
732C22⋊D43—42no—
733C22⋊D43—42no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—42no—
741C2×Dic43—42no—
742C2×Dic43—42no—
743C2×Dic43—42no—
744C2×Dic43—81no—
745C2×Dic43—81no—
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750C2×Dic43C22×D411yescharacteristic
751D172—21no—
752D172—21no—
753D172—21no—
754D172—21no—
755D172—41no—
756D172—41no—
757D172—41no—
758D172—42no—
759D172—81no—
760D172—81no—
761D172—81no—
762D172—81no—
763D172—81no—
764C4×D43—21no—
765C4×D43—21no—
766C4×D43—21no—
767C4×D43—21no—
768C4×D43—21no—
769C4×D43—21no—
770C4×D43—41no—
771C4×D43—41no—
772C4×D43—42no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780Dic86—21no—
781Dic86—21no—
782Dic86—21no—
783Dic86—21no—
784Dic86—21no—
785Dic86—21no—
786Dic86—21no—
787Dic86—21no—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43C2×#4112yes—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8—21no—
796#61509—431nomaximal, Sylow
797C22×C43—22no—
798C22×C43—22no—
799C22×C43—41no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43C23×D411yescharacteristic
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—21no—
807C2×D43—21no—
808C2×D43—21no—
809C2×D43—21no—
810C2×D43—21no—
811C2×D43—21no—
812C2×D43—21no—
813C2×D43—41no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—84no—
820C2×D43—162no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—21no—
826C4×C43—21no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43—41no—
832C4×C43—41no—
833C4×C43C22×#4111yescharacteristic
834C4×C43#58511yescharacteristic
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—21no—
839Dic43—21no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3515—431no—
847#3513—431no—
848#3400—431no—
849#3389D4311yescharacteristic, complemented
850#3372—431no—
851#3370—431no—
852#3352—431no—
853#3346—431no—
854#3343—431no—
855#3330—431no—
856#3323—431no—
857#3315—431no—
858#3314—431no—
859#3310—431no—
860#3307—431no—
861#3272—431no—
862#3267—431no—
863#3267—431no—
864#3178—431no—
865#3174—431no—
866#3172—431no—
867#3124—431no—
868#3123—431no—
869#3120—431no—
870#3119—431no—
871#3111—431no—
872#3110—431no—
873#2967—431no—
874#2951—431no—
875#2946—431no—
876C4×AGL(1,ℤ/8)—431no—
877C2×C43—42no—
878C2×C43—42no—
879C2×C43D4×#4111yescharacteristic
880C2×C43#358511yescharacteristic
881C2×C43#358611yescharacteristic
882D43—41no—
883D43—41no—
884D43—41no—
885D43—81no—
886D43—81no—
887C2×AGL(1,ℤ/8)—431no—
888C2×AGL(1,ℤ/8)—431no—
889C2×#135—431no—
890#559—431no—
891#557—431no—
892#554—431no—
893#554C2×D4311yescharacteristic
894#554C2×D4311yescharacteristic, complemented
895#553—431no—
896#553—861no—
897#553—861no—
898#552—431no—
899#552—431no—
900#552—431no—
901#552—861no—
902#552—861no—
903#552—861no—
904#551—861no—
905#551—861no—
906#547—431no—
907#547—431no—
908#547—431no—
909#547—431no—
910#546—431no—
911#546—431no—
912#546—861no—
913D42—431no—
914#542—431no—
915#541—431no—
916#541—431no—
917#540—431no—
918#539—861no—
919#539—861no—
920#539—861no—
921#538—861no—
922#533—431no—
923#529—431no—
924#529—431no—
925#529—861no—
926C2×#125—861no—
927#525—861no—
928C2×#123—861no—
929#520—431no—
930#520—431no—
931#520—431no—
932#518—431no—
933C4×#41—431no—
934C2×C4×D4—431no—
935#501C2×D4311yescharacteristic, complemented
936#501C2×D4311yescharacteristic, complemented
937#499C2×D4311yescharacteristic, complemented
938#497—431no—
939#497—431no—
940#492—431no—
941#491—431no—
942#491—431no—
943#490—431no—
944#489—431no—
945#488—431no—
946#487—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#484—431no—
951#484—431no—
952#484—431no—
953#484—431no—
954#483—431no—
955#482—431no—
956#481—431no—
957#480—431no—
958#480—431no—
959#479—431no—
960#479—431no—
961#479—431no—
962#478—431no—
963#478C2×D4311yescharacteristic
964#478C2×D4311yescharacteristic
965#478C2×D4311yescharacteristic, complemented
966#478C2×D4311yescharacteristic, complemented
967#477—431no—
968#474—431no—
969#474C2×D4311yescharacteristic
970#474C2×D4311yescharacteristic, complemented
971#470—431no—
972#470—431no—
973#470—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#468—431no—
979#467—431no—
980#465—431no—
981#465—431no—
982#465—431no—
983#464—431no—
984#464—431no—
985#463—431no—
986#463—431no—
987#462—431no—
988#461—431no—
989#461—431no—
990#461—431no—
991#461—431no—
992#461—431no—
993#460—431no—
994#459—431no—
995#452—431no—
996#452—431no—
997#452—431no—
998#452—431no—
999#450—431no—
1000#450—431no—
1001#450—431no—
1002#450—431no—
1003#449—431no—
1004#449—431no—
1005#449—431no—
1006#449—431no—
1007#446—431no—
1008#446C2×D4311yescharacteristic, complemented
1009#442—431no—
1010#442—431no—
1011#442C2×D4311yescharacteristic
1012#442C2×D4311yescharacteristic
1013#441—431no—
1014#440—431no—
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440—431no—
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×Q16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×D8—431no—
1034C4×D8—431no—
1035C4×D8—431no—
1036C4×D8C2×D4311yescharacteristic
1037#436—431no—
1038#436—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435—431no—
1043#433—431no—
1044#433—431no—
1045#432—431no—
1046#428—431no—
1047#428—431no—
1048C2×#107—431no—
1049#418—431no—
1050#417—431no—
1051#417—431no—
1052#417—431no—
1053#416—431no—
1054C2×#102—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16—431no—
1058C43#6150911yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—431no—
1062C2×#41—431no—
1063C2×#41—861no—
1064C22×D4—431no—
1065C22×D4—431no—
1066C22×D4—861no—
1067C23×C4—861no—
1068AGL(1,ℤ/8)—864no—
1069AGL(1,ℤ/8)—864no—
1070#135—864no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×Q16—431no—
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×SD16—431no—
1083C2×SD16—431no—
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×D8C22×D4311yescharacteristic
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16—431no—
1090C2×M16—431no—
1091C22×C8—431no—
1092C22×C8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8C22×D4311yescharacteristic
1097C4⋊Q8C22×D4311yescharacteristic
1098#127—431no—
1099#126—431no—
1100#126—431no—
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#126—861no—
1110#126—861no—
1111#125—431no—
1112#125—861no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125—861no—
1124#125C22×D4311yescharacteristic
1125#125C22×D4311yescharacteristic
1126#125C22×D4311yescharacteristic
1127#125C22×D4311yescharacteristic
1128#124—431no—
1129#124—431no—
1130#124—431no—
1131#124—861no—
1132#124—861no—
1133#123—431no—
1134#123—431no—
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—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151#123—861no—
1152#123—861no—
1153#123—861no—
1154#123—861no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—431no—
1162C22⋊Q8—431no—
1163C22⋊Q8—431no—
1164C22⋊Q8—431no—
1165C22⋊Q8—431no—
1166C22⋊Q8—431no—
1167C22⋊Q8—431no—
1168C22⋊Q8—431no—
1169C22⋊Q8—431no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172C22⋊Q8—861no—
1173C22⋊Q8—861no—
1174C22⋊Q8—861no—
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—431no—
1179#121—431no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121—861no—
1188#121—861no—
1189#120—861no—
1190#120—861no—
1191#120—861no—
1192#120—861no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—431no—
1201C4×Q8—861no—
1202C4×Q8—861no—
1203C4×Q8C22×D4311yescharacteristic
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
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×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4C22×D4311yescharacteristic
1230C4×D4C22×D4311yescharacteristic
1231C4×D4C22×D4311yescharacteristic
1232C4×D4C22×D4311yescharacteristic
1233C4×D4C22×D4311yescharacteristic
1234C4×D4C22×D4311yescharacteristic
1235#117—431no—
1236#117—431no—
1237#117—431no—
1238#117—431no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248C2×C4⋊C4—21no—
1249C2×C4⋊C4—21no—
1250C2×C4⋊C4—431no—
1251C2×C4⋊C4—431no—
1252C2×C4⋊C4—431no—
1253C2×C4⋊C4—431no—
1254C2×C4⋊C4—861no—
1255C2×C4⋊C4—861no—
1256C2×C4⋊C4—861no—
1257C2×C4⋊C4—861no—
1258C2×C4⋊C4—861no—
1259C2×C4⋊C4—861no—
1260C2×C22⋊C4—861no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C22⋊C4—861no—
1265C2×C42—431no—
1266C2×C42—861no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107C22×D4311yescharacteristic
1273#107C22×D4311yescharacteristic
1274#107C22×D4311yescharacteristic
1275#107C22×D4311yescharacteristic
1276#107C22×D4311yescharacteristic
1277#106—431no—
1278#106—431no—
1279#106C22×D4311yescharacteristic
1280#106C22×D4311yescharacteristic
1281#106C22×D4311yescharacteristic
1282#106C22×D4311yescharacteristic
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8C22×D4311yescharacteristic
1287C4⋊C8C22×D4311yescharacteristic
1288C4⋊C8C22×D4311yescharacteristic
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103—431no—
1302#103—431no—
1303#103—431no—
1304#103—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102C22×D4311yescharacteristic
1316#102C22×D4311yescharacteristic
1317#102C22×D4311yescharacteristic
1318#102C22×D4311yescharacteristic
1319#102C22×D4311yescharacteristic
1320#102C22×D4311yescharacteristic
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8—431no—
1326C22⋊C8—431no—
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97C22×D4311yescharacteristic
1332#97C22×D4311yescharacteristic
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C4×C8C22×D4311yescharacteristic
1337C24—861no—
1338C24—861no—
1339#41—862no—
1340#41—862no—
1341#41—862no—
1342#41—862no—
1343#41—3442no—
1344#41—1721no—
1345#41—1721no—
1346#41—1721no—
1347#41—1721no—
1348C2×Q8—21no—
1349C2×Q8—21no—
1350C2×Q8—431no—
1351C2×Q8—431no—
1352C2×Q8—431no—
1353C2×Q8—431no—
1354C2×Q8D4×D4311yescharacteristic
1355C2×D4—431no—
1356C2×D4—431no—
1357C2×D4—431no—
1358C2×D4—431no—
1359C2×D4—431no—
1360C2×D4—861no—
1361C2×D4—861no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—862no—
1367C2×D4—862no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—3442no—
1375C2×D4—1721no—
1376C2×D4—1721no—
1377C2×D4C23×D4311yescharacteristic
1378C2×D4C23×D4311yescharacteristic
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—431no—
1386C22×C4—431no—
1387C22×C4—431no—
1388C22×C4—431no—
1389C22×C4—431no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—3442no—
1405Q16—862no—
1406Q16—1721no—
1407Q16—1721no—
1408SD16—862no—
1409SD16—862no—
1410SD16—862no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—1721no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—862no—
1419D8—862no—
1420D8#1062190214yescomplemented
1421M16—862no—
1422M16—862no—
1423M16—1721no—
1424M16—1721no—
1425C2×C8—431no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—862no—
1430C2×C8—1721no—
1431C2×C8C23×D4311yescharacteristic
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—431no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4D4×D4311yescharacteristic
1481C4⋊C4D4×D4311yescharacteristic
1482C4⋊C4D4×D4311yescharacteristic
1483C4⋊C4C23×D4311yescharacteristic
1484C4⋊C4C23×D4311yescharacteristic
1485C4⋊C4C23×D4311yescharacteristic
1486C4⋊C4C23×D4311yescharacteristic
1487C4⋊C4C23×D4311yescharacteristic
1488C4⋊C4C23×D4311yescharacteristic
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
1501C22⋊C4—431no—
1502C22⋊C4—431no—
1503C22⋊C4—431no—
1504C22⋊C4—431no—
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—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C42—431no—
1530C42—431no—
1531C42—431no—
1532C42—861no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42C23×D4311yescharacteristic
1543C42C23×D4311yescharacteristic
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—431no—
1548C23—431no—
1549C23—431no—
1550C23—861no—
1551C23—861no—
1552C23—3441no—
1553C23—3441no—
1554C23—3441no—
1555C23—1722no—
1556C23—1722no—
1557C23—1722no—
1558Q8—41no—
1559Q8—81no—
1560Q8—81no—
1561Q8—861no—
1562Q8—861no—
1563Q8—861no—
1564Q8—861no—
1565Q8—861no—
1566Q8—861no—
1567Q8—861no—
1568Q8—861no—
1569D4—21no—
1570D4—21no—
1571D4—861no—
1572D4—861no—
1573D4—861no—
1574D4—861no—
1575D4—3441no—
1576D4—3441no—
1577D4—3441no—
1578D4—3441no—
1579D4—3441no—
1580D4—1721no—
1581D4—1721no—
1582D4—1721no—
1583D4—1722no—
1584D4—1722no—
1585D4—1722no—
1586D4—1722no—
1587D4—1722no—
1588D4—1722no—
1589D4—1722no—
1590D4C2×#1062190212yes—
1591D4C2×#1062190212yes—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—42no—
1599C2×C4—81no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—81no—
1603C2×C4—81no—
1604C2×C4—431no—
1605C2×C4—431no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—431no—
1609C2×C4—861no—
1610C2×C4—861no—
1611C2×C4—861no—
1612C2×C4—861no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—3441no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—1721no—
1631C2×C4—1721no—
1632C2×C4—1722no—
1633C2×C4—1722no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4C2×D4×D4311yescharacteristic
1638C2×C4C2×D4×D4311yescharacteristic
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C2×D4×D4311yescharacteristic
1643C2×C4C24×D4311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—861no—
1648C8—861no—
1649C8—861no—
1650C8—861no—
1651C8C2×#1062190212yes—
1652C22—22no—
1653C22—22no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—861no—
1659C22—861no—
1660C22—861no—
1661C22—861no—
1662C22—861no—
1663C22—861no—
1664C22—861no—
1665C22—861no—
1666C22—861no—
1667C22—3444no—
1668C22—1721no—
1669C22—1721no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22—1721no—
1674C22—6882no—
1675C22C22×D4×D4311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—861no—
1689C4—861no—
1690C4—861no—
1691C4—861no—
1692C4—861no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C22×#1062190211yescharacteristic
1700C4#1458373611yescharacteristic
1701C2—42no—
1702C2—42no—
1703C2—3441no—
1704C2—3441no—
1705C2—1721no—
1706C2—1721no—
1707C2—1721no—
1708C2D4×#1062190211yescharacteristic
1709C2#1914937011yescharacteristic
1710C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3389C2
socleC22×C43C23×D4
hypercenter#3389D43
hypocenterC43#61509
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3389

Complements

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

NH ≅ G/Ntype
1. #19148574C2semidirect
2. #19148538C2semidirect
3. #19147650C2semidirect
4. #19147376C2semidirect
5. #19147348C2semidirect
6. #19147168C2semidirect
7. #19147079C2semidirect
8. #19147034C2semidirect
9. #19146897C2semidirect
10. #19146808C2semidirect
11. #19146688C2semidirect
12. #19146673C2semidirect
13. #19146613C2semidirect
14. #19146568C2semidirect
15. #19146196C2semidirect
16. #19146122C2semidirect
17. #19146122C2semidirect
18. #19145268C2semidirect
19. #19145225C2semidirect
20. #19145203C2semidirect
21. #19144862C2semidirect
22. #19144849C2semidirect
23. #19144814C2semidirect
24. #19144799C2semidirect
25. #19144709C2semidirect
26. #19144696C2semidirect
27. #19143579C2semidirect
28. #19143465C2semidirect
29. #19143424C2semidirect
30. #19143406C2semidirect
31. C43×#3389C2semidirect
36. #14583628C22semidirect
37. #14583610C22semidirect
46. #14583587C22semidirect
50. #14583553C22semidirect
51. #14583553C22semidirect
58. #14583512C22semidirect
59. #14583512C22semidirect
65. #14583454C22semidirect
73. #14583378C22semidirect
74. #14583378C22semidirect
76. C4×#10621900C22semidirect
78. #14583293C22semidirect
79. #14583293C22semidirect
81. #14583269C22semidirect
82. #14583269C22semidirect
84. #14583261C22semidirect
85. #14583256C22semidirect
86. #14583251C22semidirect
87. #14583243C22semidirect
88. #14583242C22semidirect
89. #14583242C22semidirect
90. #14583236C22semidirect
91. #14583236C22semidirect
92. #14583236C22semidirect
93. #14583236C22semidirect
94. #14583231C22semidirect
96. #14583219C22semidirect
98. #14583214C22semidirect
99. #14583203C22semidirect
100. #14583203C22semidirect
101. #14583203C22semidirect
102. #14583196C22semidirect
103. #14583191C22semidirect
104. #14583176C22semidirect
105. #14583158C22semidirect
106. #14583158C22semidirect
107. #14583158C22semidirect
111. #14583146C22semidirect
112. #14583146C22semidirect
113. #14583141C22semidirect
115. #14583129C22semidirect
116. #14583129C22semidirect
117. #14583122C22semidirect
118. #14583122C22semidirect
119. #14583114C22semidirect
120. #14583114C22semidirect
121. #14583110C22semidirect
122. #14583105C22semidirect
123. #14583105C22semidirect
131. #14583062C22semidirect
132. #14583062C22semidirect
139. #14583045C22semidirect
140. #14583045C22semidirect
141. #14583030C22semidirect
142. #14583009C22semidirect
143. #14583008C22semidirect
144. #14583005C22semidirect
145. #14583001C22semidirect
146. #14583001C22semidirect
149. #14582999C22semidirect
150. #14582998C22semidirect
151. #14582998C22semidirect
152. #14582998C22semidirect
155. #14582996C22semidirect
156. C4×Dic172C22semidirect
157. #14582993C22semidirect
158. #14582993C22semidirect
160. #14582986C22semidirect
161. #14582986C22semidirect
162. #14582986C22semidirect
165. C4×#10621882C22semidirect
166. #14582979C22semidirect
168. #14582976C22semidirect
169. #14582972C22semidirect
170. #14582972C22semidirect
172. #14582969C22semidirect
173. #14582959C22semidirect
174. #14582959C22semidirect
175. #14582955C22semidirect
176. #14582938C22semidirect
177. #14582938C22semidirect
178. #107×D43C22semidirect
181. #14582897C22semidirect
182. #14582897C22semidirect
183. #14582892C22semidirect
185. #14582856C22semidirect
186. #14582853C22semidirect
187. #14582851C22semidirect
189. C43×#554C22semidirect
190. C43×#501C22semidirect
191. C43×#501C22semidirect
192. C43×#499C22semidirect
195. C43×#478C22semidirect
196. C43×#478C22semidirect
198. C43×#474C22semidirect
199. C43×#446C22semidirect
549. D8×C43#41semidirect
849. #3389D43semidirect
894. #554C2×D43semidirect
935. #501C2×D43semidirect
936. #501C2×D43semidirect
937. #499C2×D43semidirect
965. #478C2×D43semidirect
966. #478C2×D43semidirect
970. #474C2×D43semidirect
1008. #446C2×D43semidirect
1058. C43#61509semidirect
1420. D8#10621902semidirect

Maximal subgroups

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

subgroupindex
#191485742
#191485382
#191476502
#191473762
#191473482
#191471682
#191470792
#191470342
#191468972
#191468082
#191466882
#191466732
#191466132
#191465682
#191461962
#191461222
#191452682
#191452252
#191452032
#191448622
#191448492
#191448142
#191447992
#191447092
#191446962
#191435792
#191434652
#191434242
#191434062
C43×#33892
#6150943