Finite Group Databasebeta

← #25979995

Subgroups — #25979995

Order 11008.

1826 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#19148589C211yesmaximal, characteristic, complemented
2#19148552C211yesmaximal, characteristic, complemented
3#19147668C211yesmaximal, characteristic, complemented
4#19147519C211yesmaximal, characteristic, complemented
5#19147359C211yesmaximal, characteristic, complemented
6#19147318C211yesmaximal, characteristic, complemented
7#19147219C211yesmaximal, characteristic, complemented
8#19147123C211yesmaximal, characteristic, complemented
9#19147095C211yesmaximal, characteristic, complemented
10#19146798C211yesmaximal, characteristic, complemented
11#19146782C211yesmaximal, characteristic, complemented
12#19146671C211yesmaximal, characteristic, complemented
13#19146662C211yesmaximal, characteristic, complemented
14#19146611C211yesmaximal, characteristic, complemented
15#19146229C211yesmaximal, characteristic, complemented
16#19146106C211yesmaximal, characteristic, complemented
17#19146083C211yesmaximal, characteristic, complemented
18#19145270C211yesmaximal, characteristic, complemented
19#19145229C211yesmaximal, characteristic, complemented
20#19145183C211yesmaximal, characteristic, complemented
21#19144864C211yesmaximal, characteristic, complemented
22#19144845C211yesmaximal, characteristic, complemented
23#19144817C211yesmaximal, characteristic, complemented
24#19144782C211yesmaximal, characteristic, complemented
25#19144712C211yesmaximal, characteristic, complemented
26#19144707C211yesmaximal, characteristic, complemented
27#19143581C211yesmaximal, characteristic, complemented
28#19143450C211yesmaximal, characteristic, complemented
29#19143422C211yesmaximal, characteristic, complemented
30#19143410C211yesmaximal, characteristic, complemented
31C43×#3329C211yesmaximal, characteristic, complemented
32C2×#13063356C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34C22×#10621884C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583625C2211yescharacteristic, complemented
37#14583623—21no—
38#14583623C2211yescharacteristic, complemented
39#14583617C2211yescharacteristic
40#14583612C2211yescharacteristic
41#14583607—21no—
42#14583607C2211yescharacteristic, complemented
43#14583595—21no—
44#14583595C2211yescharacteristic, complemented
45#14583583—21no—
46#14583583C2211yescharacteristic
47#14583579—21no—
48#14583573—21no—
49#14583564C2211yescharacteristic
50#14583560C2211yescharacteristic
51#14583560C2211yescharacteristic, complemented
52#14583557—21no—
53#14583546C2211yescharacteristic
54#14583545C2211yescharacteristic
55#14583538—21no—
56#14583533C2211yescharacteristic
57#14583523C2211yescharacteristic
58#14583522—21no—
59#14583522C2211yescharacteristic, complemented
60#14583516C2211yescharacteristic
61#14583510—21no—
62#14583510C2211yescharacteristic, complemented
63#14583483—21no—
64#14583481—21no—
65#14583444C2211yescharacteristic
66#14583435—21no—
67#14583435C2211yescharacteristic, complemented
68#14583429—21no—
69#14583429C2211yescharacteristic
70#14583427—21no—
71#124×D43—21no—
72#14583381C2211yescharacteristic, complemented
73#14583377C2211yescharacteristic, complemented
74#14583373C2211yescharacteristic
75#14583371C2211yescharacteristic
76#14583367C2211yescharacteristic
77C2×Q8×Dic43C2211yescharacteristic, complemented
78#14583307C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583303C2211yescharacteristic, complemented
81#14583291C2211yescharacteristic, complemented
82#14583285C2211yescharacteristic
83#14583280C2211yescharacteristic, complemented
84#14583262C2211yescharacteristic
85#14583260C2211yescharacteristic, complemented
86#14583260C2211yescharacteristic, complemented
87#14583257C2211yescharacteristic, complemented
88#14583254C2211yescharacteristic, complemented
89#14583241C2211yescharacteristic, complemented
90#14583239C2211yescharacteristic, complemented
91#14583238C2211yescharacteristic, complemented
92#14583236C2211yescharacteristic, complemented
93#14583223C2211yescharacteristic, complemented
94#14583223C2211yescharacteristic, complemented
95#14583220C2211yescharacteristic
96#14583214C2211yescharacteristic
97#14583213C2211yescharacteristic, complemented
98#14583210C2211yescharacteristic, complemented
99#14583209C2211yescharacteristic, complemented
100#14583202C2211yescharacteristic
101#14583200C2211yescharacteristic
102#14583199C2211yescharacteristic, complemented
103#14583192C2211yescharacteristic, complemented
104#14583192C2211yescharacteristic, complemented
105#14583192C2211yescharacteristic, complemented
106#14583188C2211yescharacteristic, complemented
107#14583182C2211yescharacteristic, complemented
108#14583178C2211yescharacteristic
109#14583176C2211yescharacteristic, complemented
110#14583156C2211yescharacteristic, complemented
111#14583152C2211yescharacteristic, complemented
112#14583150C2211yescharacteristic, complemented
113#14583148C2211yescharacteristic
114#14583147C2211yescharacteristic, complemented
115#14583145C2211yescharacteristic, complemented
116#14583139C2211yescharacteristic, complemented
117#14583138C2211yescharacteristic, complemented
118#14583133C2211yescharacteristic
119#14583131C2211yescharacteristic
120#14583124C2211yescharacteristic, complemented
121#14583121C2211yescharacteristic, complemented
122#14583119C2211yescharacteristic, complemented
123#14583119C2211yescharacteristic, complemented
124#14583117C2211yescharacteristic
125#14583117C2211yescharacteristic
126#14583117C2211yescharacteristic, complemented
127#14583115C2211yescharacteristic, complemented
128#14583101C2211yescharacteristic
129#14583097C2211yescharacteristic
130#14583097C2211yescharacteristic
131#14583064C2211yescharacteristic, complemented
132#14583059C2211yescharacteristic
133#14583055C2211yescharacteristic, complemented
134#14583049C2211yescharacteristic
135#14583048C2211yescharacteristic
136#14583048C2211yescharacteristic
137#14583047C2211yescharacteristic
138#14583046C2211yescharacteristic
139#14583038C2211yescharacteristic, complemented
140#14583035C2211yescharacteristic
141#14583029C2211yescharacteristic, complemented
142#14583028C2211yescharacteristic, complemented
143#14583010C2211yescharacteristic
144#14583009C2211yescharacteristic, complemented
145#14583003C2211yescharacteristic, complemented
146#14583003C2211yescharacteristic, complemented
147#14583003C2211yescharacteristic, complemented
148#14583002C2211yescharacteristic
149#14583002C2211yescharacteristic
150#14583002C2211yescharacteristic
151#14583002C2211yescharacteristic
152#14583002C2211yescharacteristic, complemented
153#14583002C2211yescharacteristic, complemented
154#14583002C2211yescharacteristic, complemented
155#14583000C2211yescharacteristic, complemented
156#14583000C2211yescharacteristic, complemented
157#14582998C2211yescharacteristic, complemented
158#14582997C2211yescharacteristic
159#14582991C2211yescharacteristic, complemented
160#14582991C2211yescharacteristic, complemented
161SD16×Dic43C2211yescharacteristic, complemented
162#14582984C2211yescharacteristic
163#14582984C2211yescharacteristic
164#14582984C2211yescharacteristic
165#14582984C2211yescharacteristic, complemented
166#14582984C2211yescharacteristic, complemented
167C4×D344C2211yescharacteristic
168#14582981C2211yescharacteristic, complemented
169#14582979C2211yescharacteristic, complemented
170#14582974C2211yescharacteristic, complemented
171#14582971C2211yescharacteristic, complemented
172#14582968C2211yescharacteristic
173#14582968C2211yescharacteristic, complemented
174#14582967C2211yescharacteristic
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582942C2211yescharacteristic, complemented
179#14582938C2211yescharacteristic, complemented
180#14582935C2211yescharacteristic, complemented
181#14582905C2211yescharacteristic
182#14582901C2211yescharacteristic
183#14582894C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic
185#14582857C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187M16×Dic43C2211yescharacteristic, complemented
188C43×#555C2211yescharacteristic
189D4×Q8×C43C2211yescharacteristic, complemented
190C43×#487C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#485C2211yescharacteristic, complemented
193C43×#477C2211yescharacteristic, complemented
194C43×#468C2211yescharacteristic
195C43×#468C2211yescharacteristic, complemented
196C43×#461C2211yescharacteristic, complemented
197C43×#448C2211yescharacteristic
198C43×#448C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C43×#436C2211yescharacteristic, complemented
201C43×#419C2211yescharacteristic, complemented
202C43×#419C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621900—21no—
206C2×Q8×D43—21no—
207C22×D172C2311yescharacteristic
208C2×D4×D43—21no—
209C2×D4×D43C2311yescharacteristic
210#13063356—24no—
211#13063352—24no—
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621884—24no—
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×D344C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621877C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C22×C43⋊C8C2311yescharacteristic
229C2×C8×D43C2311yescharacteristic
230#13063324—21no—
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063321C2311yescharacteristic
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#13063320D411yescharacteristic
244#13063319—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318D411yescharacteristic
249#13063317—21no—
250#13063317C2311yescharacteristic
251#13063316—21no—
252#13063316C2311yescharacteristic
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063315D411yescharacteristic
258#13063314—21no—
259#13063314—21no—
260#13063314—21no—
261#13063314C2311yescharacteristic
262#13063314C2311yescharacteristic
263#13063313—21no—
264#13063313C2311yescharacteristic
265#13063312—21no—
266#13063312C2311yescharacteristic
267#13063311—21no—
268#13063311—21no—
269#13063311—21no—
270#13063311—21no—
271#13063311—21no—
272#13063311D411yescharacteristic
273#13063310—21no—
274#13063310—21no—
275#13063309—21no—
276#13063309D411yescharacteristic
277#13063308—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063306—21no—
284#13063306D411yescharacteristic
285#13063305—21no—
286#13063305—21no—
287#13063305—21no—
288#13063305C2311yescharacteristic
289#13063304C2311yescharacteristic
290#13063303—21no—
291#13063303—21no—
292#13063302—21no—
293#13063302—21no—
294#13063302D411yescharacteristic
295#13063301—21no—
296#13063301—21no—
297#13063301—21no—
298#13063301—21no—
299#13063301C2311yescharacteristic
300#13063301C2311yescharacteristic
301#13063300C2311yescharacteristic
302#13063299—21no—
303#13063299—21no—
304#13063299C2311yescharacteristic
305#13063299C2311yescharacteristic
306#13063299C2311yescharacteristic
307#13063298—21no—
308#13063298—21no—
309#13063298—21no—
310#13063297—21no—
311#13063297—21no—
312#13063297D411yescharacteristic
313#13063296—21no—
314#13063295—21no—
315#13063293—21no—
316#13063293—21no—
317#13063293—21no—
318Q8×Dic43—21no—
319Q8×Dic43—21no—
320Q8×Dic43—21no—
321Q8×Dic43—21no—
322Q8×Dic43C2311yescharacteristic
323Q8×Dic43C2311yescharacteristic
324Q8×Dic43C2311yescharacteristic
325Q8×Dic43C2311yescharacteristic
326Q8×Dic43C2311yescharacteristic
327Q8×Dic43C2311yescharacteristic
328Q8×Dic43C2311yescharacteristic
329C4×Dic86—21no—
330C4×Dic86—21no—
331C4×Dic86C2311yescharacteristic
332#13063290C2311yescharacteristic
333#13063290C2311yescharacteristic
334C4×D172—21no—
335C4×D172—21no—
336C4×D172—21no—
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340#13063287—21no—
341#13063287C2311yescharacteristic
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43C2311yescharacteristic
352C4×C22⋊D43C2311yescharacteristic
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(C22⋊D43)⋊C4—21no—
360#13063284—21no—
361#13063284—21no—
362#13063284C2311yescharacteristic
363#13063284C2311yescharacteristic
364#13063283—21no—
365#13063283—21no—
366#13063283—21no—
367#13063283C2311yescharacteristic
368#13063282—21no—
369#13063282—21no—
370#13063282—21no—
371#13063282C2311yescharacteristic
372C2×C4⋊Dic43—21no—
373C2×C4⋊Dic43C2311yescharacteristic
374C4⋊C4×D43—21no—
375C4⋊C4×D43C2311yescharacteristic
376C2×(C2×D43)⋊C4—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C2×C4×Dic43—21no—
383C2×C4×Dic43C2311yescharacteristic
384C42×D43—21no—
385#13063259C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C22×Q8×C43C2311yescharacteristic
439C22×Q8×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×M16×C43C2311yescharacteristic
444C2×M16×C43C2311yescharacteristic
445C4⋊Q8×C43—21no—
446C4⋊Q8×C43C2311yescharacteristic
447C4⋊Q8×C43C2311yescharacteristic
448#124×C43—21no—
449#124×C43—21no—
450C22⋊Q8×C43—21no—
451C22⋊Q8×C43—21no—
452C22⋊Q8×C43C2311yescharacteristic
453C22⋊Q8×C43C2311yescharacteristic
454#121×C43—21no—
455#121×C43C2311yescharacteristic
456#121×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×D4×C43—21no—
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461#117×C43—21no—
462#117×C43C2311yescharacteristic
463#117×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C2×Q8×C43—21no—
484C2×Q8×C43—21no—
485C2×Q8×C43—21no—
486C2×Q8×C43—22no—
487C2×Q8×C43—22no—
488C2×Q8×C43—41no—
489C2×Q8×C43—41no—
490C2×Q8×C43C2411yescharacteristic
491C2×Q8×C43C2411yescharacteristic
492C2×Q8×C43C2411yescharacteristic
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43C2×D411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43C2411yescharacteristic
501C22×C4×C43C2411yescharacteristic
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43C2×D411yescharacteristic
510C2×C22⋊D43C2×D411yescharacteristic
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43C2×D411yescharacteristic
514C22×Dic43C2×D411yescharacteristic
515#10621902—22no—
516#10621902—41no—
517Q8×D43—82no—
518#10621900—82no—
519D4×D43—22no—
520D4×D43—41no—
521D4×D43—82no—
522#10621898—22no—
523#10621898—41no—
524C2×D172—21no—
525C2×D172—21no—
526C2×D172—21no—
527C2×D172—22no—
528C2×D172—41no—
529C2×D172C2411yescharacteristic
530C2×D172C2411yescharacteristic
531C2×D172C2411yescharacteristic
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—21no—
540C2×C4×D43—21no—
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43C2411yescharacteristic
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86—21no—
547C2×Dic86C2×D411yescharacteristic
548C2×Dic86C2411yescharacteristic
549SD16×C43—22no—
550SD16×C43—41no—
551SD16×C43—41no—
552M16×C43—41no—
553M16×C43—41no—
554C2×C8×C43C2411yescharacteristic
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
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×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43C2×D411yescharacteristic
577C22⋊C4×C43C2×D411yescharacteristic
578C42×C43—21no—
579C42×C43—21no—
580C42×C43—21no—
581C42×C43C2411yescharacteristic
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43C2×D411yescharacteristic
588C22⋊Dic43C2×D411yescharacteristic
589C22⋊Dic43C2×D411yescharacteristic
590C22⋊Dic43C2×D411yescharacteristic
591#10621885—22no—
592#10621885—22no—
593#10621885—41no—
594#10621884—22no—
595#10621884—22no—
596#10621884—22no—
597#10621884—22no—
598#10621884—41no—
599#10621884#4114yescomplemented
600#10621882—22no—
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)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4C2×D411yescharacteristic
624(C2×D43)⋊C4C2×D411yescharacteristic
625(C2×D43)⋊C4C2×D411yescharacteristic
626(C2×D43)⋊C4C2×D411yescharacteristic
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⋊Dic43—21no—
637C4⋊Dic43C2×D411yescharacteristic
638C4⋊Dic43C2×D411yescharacteristic
639C4⋊Dic43C2×D411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
641C4⋊Dic43C2411yescharacteristic
642C4⋊Dic43C2411yescharacteristic
643C4⋊Dic43C2411yescharacteristic
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
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
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×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678#10621877—22no—
679C2×C43⋊C8—22no—
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684D344—22no—
685D344—41no—
686#10621873—41no—
687#10621872—22no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43C22×D411yescharacteristic
691C23×C43C22×D411yescharacteristic
692C22×D43—21no—
693C22×D43—21no—
694C22×D43—21no—
695C22×D43—42no—
696C22×D43—42no—
697C22×D43—81no—
698C22×D43—81no—
699C22×D43—81no—
700C22×D43—81no—
701C22×D43C22×D411yescharacteristic
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—21no—
705Q8×C43—21no—
706Q8×C43—21no—
707Q8×C43—42no—
708Q8×C43—42no—
709Q8×C43—81no—
710Q8×C43C2×#4112yes—
711D4×C43—21no—
712D4×C43—21no—
713D4×C43—41no—
714D4×C43—81no—
715D4×C43—81no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—42no—
728C2×C4×C43—42no—
729C2×C4×C43—81no—
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C22×D411yescharacteristic
734C2×C4×C43C2511yescharacteristic
735C22⋊D43—41no—
736C22⋊D43—41no—
737C22⋊D43—42no—
738C22⋊D43—42no—
739C22⋊D43—42no—
740C22⋊D43—42no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C22⋊D43—81no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—41no—
750C2×Dic43—41no—
751C2×Dic43—81no—
752C2×Dic43—81no—
753C2×Dic43C22×D411yescharacteristic
754C2×Dic43C22×D411yescharacteristic
755C2×Dic43C22×D411yescharacteristic
756C2×Dic43C22×D411yescharacteristic
757C2×Dic43C22×D411yescharacteristic
758C2×Dic43C22×D411yescharacteristic
759C2×Dic43C22×D411yescharacteristic
760D172—21no—
761D172—21no—
762D172—21no—
763D172—21no—
764D172—21no—
765D172—42no—
766D172—42no—
767D172—81no—
768D172C2×#4112yes—
769C4×D43—21no—
770C4×D43—21no—
771C4×D43—42no—
772C4×D43—42no—
773C4×D43—42no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782Dic86—21no—
783Dic86—21no—
784Dic86—41no—
785Dic86—42no—
786Dic86—81no—
787Dic86—81no—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43—21no—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8C2×#4112yes—
796#61513—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—21no—
802C22×C43—21no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43C23×D411yescharacteristic
807C2×D43—21no—
808C2×D43—21no—
809C2×D43—22no—
810C2×D43—21no—
811C2×D43—41no—
812C2×D43—41no—
813C2×D43—41no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—162no—
820C2×D43—162no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—22no—
825C4×C43—21no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43—41no—
832C4×C43C22×#4111yescharacteristic
833C4×C43#58511yescharacteristic
834Dic43—21no—
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—21no—
839Dic43—21no—
840Dic43—21no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3516—431no—
847#3514—431no—
848#3401—431no—
849#3386—431no—
850#3371—431no—
851#3367—431no—
852#3357—431no—
853#3349—431no—
854#3347—431no—
855#3329D4311yescharacteristic, complemented
856#3322—431no—
857#3321—431no—
858#3314—431no—
859#3313—431no—
860#3310—431no—
861#3275—431no—
862#3266—431no—
863#3265—431no—
864#3178—431no—
865#3175—431no—
866#3171—431no—
867#3124—431no—
868#3123—431no—
869#3121—431no—
870#3118—431no—
871#3112—431no—
872#3111—431no—
873#2967—431no—
874#2949—431no—
875#2946—431no—
876C4×#137—431no—
877C2×C43—41no—
878C2×C43—41no—
879C2×C43—81no—
880C2×C43D4×#4111yescharacteristic
881C2×C43#358511yescharacteristic
882C2×C43#358611yescharacteristic
883D43—41no—
884D43—42no—
885D43—81no—
886D43—81no—
887C2×#137—431no—
888C2×AGL(1,ℤ/8)—431no—
889C22×SD16—431no—
890#559—431no—
891#557—431no—
892#556—431no—
893#556—431no—
894#556—861no—
895#555—431no—
896#555C2×D4311yescharacteristic
897#554—431no—
898#554—861no—
899#553—431no—
900#553—861no—
901#552—431no—
902#552—861no—
903#551—861no—
904#551—861no—
905D4×Q8—431no—
906D4×Q8C2×D4311yescharacteristic, complemented
907#548—431no—
908#548—431no—
909#548—861no—
910#546—431no—
911#546—431no—
912#546—861no—
913D42—431no—
914#542—431no—
915#542—431no—
916#542—431no—
917#542—861no—
918#541—431no—
919#541—861no—
920#538—861no—
921#538—861no—
922#532—431no—
923#529—431no—
924#529—431no—
925#529—861no—
926#529—861no—
927#529—861no—
928C2×#124—861no—
929#520—431no—
930#519—431no—
931#518—431no—
932#518—431no—
933C4×#41—431no—
934C2×C4×Q8—431no—
935#501—431no—
936#501—431no—
937#500—431no—
938#497—431no—
939#496—431no—
940#495—431no—
941#490—431no—
942#489—431no—
943#489—431no—
944#489—431no—
945#488—431no—
946#487C2×D4311yescharacteristic, complemented
947#485—431no—
948#485—431no—
949#485—431no—
950#485C2×D4311yescharacteristic, complemented
951#485C2×D4311yescharacteristic, complemented
952#484—431no—
953#482—431no—
954#482—431no—
955#482—431no—
956#480—431no—
957#480—431no—
958#480—431no—
959#479—431no—
960#478—431no—
961#478—431no—
962#478—431no—
963#477—431no—
964#477—431no—
965#477—431no—
966#477C2×D4311yescharacteristic, complemented
967#476—431no—
968#475—431no—
969#474—431no—
970#474—431no—
971#470—431no—
972#469—431no—
973#469—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468C2×D4311yescharacteristic
978#468C2×D4311yescharacteristic, complemented
979#467—431no—
980#467—431no—
981#466—431no—
982#465—431no—
983#464—431no—
984#464—431no—
985#464—431no—
986#464—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#463—431no—
991#461—431no—
992#461C2×D4311yescharacteristic, complemented
993#460—431no—
994#460—431no—
995#452—431no—
996#452—431no—
997#451—431no—
998#450—431no—
999#450—431no—
1000#450—431no—
1001#449—431no—
1002#449—431no—
1003#448—431no—
1004#448C2×D4311yescharacteristic
1005#448C2×D4311yescharacteristic, complemented
1006#447—431no—
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#441—431no—
1012#441—431no—
1013#441—431no—
1014#440—431no—
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440—431no—
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×SD16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16C2×D4311yescharacteristic, complemented
1034C4×D8—431no—
1035C4×D8—431no—
1036C4×D8—431no—
1037#436—431no—
1038#436C2×D4311yescharacteristic, complemented
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435—431no—
1043#433—431no—
1044#433—431no—
1045#432—431no—
1046#428—431no—
1047#428—431no—
1048#427—431no—
1049#419C2×D4311yescharacteristic, complemented
1050#419C2×D4311yescharacteristic, complemented
1051#418—431no—
1052#417—431no—
1053#416—431no—
1054C2×#102—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16—431no—
1058C43#6151311yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—861no—
1062C22×Q8—861no—
1063C22×Q8C22×D4311yescharacteristic
1064C22×Q8C22×D4311yescharacteristic
1065C22×D4—431no—
1066C22×D4—431no—
1067C22×D4—861no—
1068#137—864no—
1069AGL(1,ℤ/8)—864no—
1070C2×Q16—431no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×SD16—431no—
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—864no—
1081C2×SD16C22×D4311yescharacteristic
1082C2×SD16C22×D4311yescharacteristic
1083C2×SD16C22×D4311yescharacteristic
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×D8—431no—
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16C22×D4311yescharacteristic
1090C2×M16C22×D4311yescharacteristic
1091C22×C8—431no—
1092C22×C8—431no—
1093C4⋊Q8—21no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—431no—
1097C4⋊Q8—861no—
1098C4⋊Q8C22×D4311yescharacteristic
1099C4⋊Q8C22×D4311yescharacteristic
1100#127—431no—
1101#126—431no—
1102#126—431no—
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#126—861no—
1112#126—861no—
1113#126—861no—
1114#126—861no—
1115#125—431no—
1116#125—431no—
1117#125—431no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125—861no—
1124#124—21no—
1125#124—21no—
1126#124—431no—
1127#124—431no—
1128#124—431no—
1129#124—431no—
1130#124—431no—
1131#124—861no—
1132#124—861no—
1133#124—861no—
1134#124—861no—
1135#124—861no—
1136#124—861no—
1137#124—861no—
1138#124—861no—
1139#124—861no—
1140#124—861no—
1141#123—431no—
1142#123—431no—
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—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
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—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8C22×D4311yescharacteristic
1172C22⋊Q8C22×D4311yescharacteristic
1173#121—21no—
1174#121—431no—
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—431no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121C22×D4311yescharacteristic
1188#121C22×D4311yescharacteristic
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—431no—
1202C4×Q8—431no—
1203C4×Q8—861no—
1204C4×Q8—861no—
1205C4×Q8—861no—
1206C4×Q8—861no—
1207C4×Q8—861no—
1208C4×Q8—861no—
1209C4×Q8C22×D4311yescharacteristic
1210C4×D4—21no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—431no—
1219C4×D4—431no—
1220C4×D4—431no—
1221C4×D4—431no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4—861no—
1233C4×D4—861no—
1234C4×D4—861no—
1235C4×D4—861no—
1236C4×D4—861no—
1237C4×D4C22×D4311yescharacteristic
1238C4×D4C22×D4311yescharacteristic
1239#117—21no—
1240#117—431no—
1241#117—431no—
1242#117—431no—
1243#117—431no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117—861no—
1250#117—861no—
1251#117—861no—
1252#117C22×D4311yescharacteristic
1253#117C22×D4311yescharacteristic
1254C2×C4⋊C4—431no—
1255C2×C4⋊C4—431no—
1256C2×C4⋊C4—861no—
1257C2×C4⋊C4—861no—
1258C2×C22⋊C4—861no—
1259C2×C22⋊C4—861no—
1260C2×C22⋊C4—861no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C42—431no—
1265C2×C42—861no—
1266C2×C42—861no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#107—431no—
1275#107C22×D4311yescharacteristic
1276#107C22×D4311yescharacteristic
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106—431no—
1282#106C22×D4311yescharacteristic
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
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#103C22×D4311yescharacteristic
1297#103C22×D4311yescharacteristic
1298#103C22×D4311yescharacteristic
1299#103C22×D4311yescharacteristic
1300#103C22×D4311yescharacteristic
1301#103C22×D4311yescharacteristic
1302#103C22×D4311yescharacteristic
1303#103C22×D4311yescharacteristic
1304#103C22×D4311yescharacteristic
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102—431no—
1320#102C22×D4311yescharacteristic
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8C22×D4311yescharacteristic
1326C22⋊C8C22×D4311yescharacteristic
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97—431no—
1332#97—431no—
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C4×C8C22×D4311yescharacteristic
1337C24—861no—
1338C24—861no—
1339#41—862no—
1340#41—862no—
1341#41—3442no—
1342#41—1721no—
1343#41—1721no—
1344C2×Q8—21no—
1345C2×Q8—21no—
1346C2×Q8—21no—
1347C2×Q8—22no—
1348C2×Q8—22no—
1349C2×Q8—41no—
1350C2×Q8—41no—
1351C2×Q8—431no—
1352C2×Q8—431no—
1353C2×Q8—861no—
1354C2×Q8—861no—
1355C2×Q8—861no—
1356C2×Q8—3442no—
1357C2×Q8C23×D4311yescharacteristic
1358C2×Q8C23×D4311yescharacteristic
1359C2×Q8C23×D4311yescharacteristic
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—431no—
1365C2×D4—431no—
1366C2×D4—431no—
1367C2×D4—862no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—862no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—861no—
1379C2×D4—3442no—
1380C2×D4—1721no—
1381C2×D4—1721no—
1382C2×D4D4×D4311yescharacteristic
1383C2×D4C23×D4311yescharacteristic
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
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×C4C23×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405Q16—862no—
1406Q16—862no—
1407Q16—1721no—
1408SD16—22no—
1409SD16—41no—
1410SD16—41no—
1411SD16—434no—
1412SD16—862no—
1413SD16—862no—
1414SD16—862no—
1415SD16—862no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—862no—
1419D8—862no—
1420D8—1721no—
1421M16—41no—
1422M16—41no—
1423M16—862no—
1424M16—862no—
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—431no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
1444C4⋊C4—431no—
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⋊C4D4×D4311yescharacteristic
1477C4⋊C4C23×D4311yescharacteristic
1478C4⋊C4C23×D4311yescharacteristic
1479C4⋊C4C23×D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—431no—
1489C22⋊C4—431no—
1490C22⋊C4—431no—
1491C22⋊C4—431no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
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—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4D4×D4311yescharacteristic
1524C22⋊C4D4×D4311yescharacteristic
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—431no—
1529C42—431no—
1530C42—431no—
1531C42—431no—
1532C42—431no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42—861no—
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—431no—
1547C23—861no—
1548C23—861no—
1549C23—861no—
1550C23—3441no—
1551C23—3441no—
1552C23—3441no—
1553C23—3441no—
1554C23—1722no—
1555C23—1722no—
1556C23C2×D4×D4311yescharacteristic
1557C23C2×D4×D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—42no—
1564Q8—42no—
1565Q8—81no—
1566Q8—861no—
1567Q8—861no—
1568Q8—3441no—
1569Q8—3441no—
1570Q8—1721no—
1571Q8—1722no—
1572Q8#41×D4312yes—
1573D4—21no—
1574D4—21no—
1575D4—41no—
1576D4—81no—
1577D4—81no—
1578D4—432no—
1579D4—861no—
1580D4—861no—
1581D4—861no—
1582D4—861no—
1583D4—861no—
1584D4—3441no—
1585D4—3441no—
1586D4—3441no—
1587D4—3441no—
1588D4—1722no—
1589D4—1722no—
1590D4—1721no—
1591D4—1721no—
1592D4—1722no—
1593D4—1722no—
1594D4—1722no—
1595D4—1722no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—42no—
1608C2×C4—42no—
1609C2×C4—81no—
1610C2×C4—431no—
1611C2×C4—431no—
1612C2×C4—431no—
1613C2×C4—431no—
1614C2×C4—431no—
1615C2×C4—431no—
1616C2×C4—431no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—861no—
1623C2×C4—861no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—3441no—
1633C2×C4—3441no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4—1721no—
1638C2×C4—1721no—
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—21no—
1648C8—432no—
1649C8—861no—
1650C8—861no—
1651C8—861no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—861no—
1662C22—862no—
1663C22—861no—
1664C22—861no—
1665C22—1721no—
1666C22—1721no—
1667C22—1721no—
1668C22—1721no—
1669C22—1721no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22—6882no—
1674C22—6882no—
1675C22C22×D4×D4311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—22no—
1679C4—21no—
1680C4—21no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—861no—
1688C4—861no—
1689C4—861no—
1690C4—861no—
1691C4—861no—
1692C4—861no—
1693C4—861no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C2×#41×D4311yescharacteristic
1700C4#1458373411yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—81no—
1704C2—3441no—
1705C2—3441no—
1706C2—1721no—
1707C2—1722no—
1708C2#1914807911yescharacteristic
1709C2#1914937311yescharacteristic
1710C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3329C2
socleC22×C43C23×D4
hypercenter#3329D43
hypocenterC43#61513
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3329

Complements

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

NH ≅ G/Ntype
1. #19148589C2semidirect
2. #19148552C2semidirect
3. #19147668C2semidirect
4. #19147519C2semidirect
5. #19147359C2semidirect
6. #19147318C2semidirect
7. #19147219C2semidirect
8. #19147123C2semidirect
9. #19147095C2semidirect
10. #19146798C2semidirect
11. #19146782C2semidirect
12. #19146671C2semidirect
13. #19146662C2semidirect
14. #19146611C2semidirect
15. #19146229C2semidirect
16. #19146106C2semidirect
17. #19146083C2semidirect
18. #19145270C2semidirect
19. #19145229C2semidirect
20. #19145183C2semidirect
21. #19144864C2semidirect
22. #19144845C2semidirect
23. #19144817C2semidirect
24. #19144782C2semidirect
25. #19144712C2semidirect
26. #19144707C2semidirect
27. #19143581C2semidirect
28. #19143450C2semidirect
29. #19143422C2semidirect
30. #19143410C2semidirect
31. C43×#3329C2semidirect
36. #14583625C22semidirect
38. #14583623C22semidirect
42. #14583607C22semidirect
44. #14583595C22semidirect
51. #14583560C22semidirect
59. #14583522C22semidirect
62. #14583510C22semidirect
67. #14583435C22semidirect
72. #14583381C22semidirect
73. #14583377C22semidirect
77. C2×Q8×Dic43C22semidirect
78. #14583307C22semidirect
79. #14583305C22semidirect
80. #14583303C22semidirect
81. #14583291C22semidirect
83. #14583280C22semidirect
85. #14583260C22semidirect
86. #14583260C22semidirect
87. #14583257C22semidirect
88. #14583254C22semidirect
89. #14583241C22semidirect
90. #14583239C22semidirect
91. #14583238C22semidirect
92. #14583236C22semidirect
93. #14583223C22semidirect
94. #14583223C22semidirect
97. #14583213C22semidirect
98. #14583210C22semidirect
99. #14583209C22semidirect
102. #14583199C22semidirect
103. #14583192C22semidirect
104. #14583192C22semidirect
105. #14583192C22semidirect
106. #14583188C22semidirect
107. #14583182C22semidirect
109. #14583176C22semidirect
110. #14583156C22semidirect
111. #14583152C22semidirect
112. #14583150C22semidirect
114. #14583147C22semidirect
115. #14583145C22semidirect
116. #14583139C22semidirect
117. #14583138C22semidirect
120. #14583124C22semidirect
121. #14583121C22semidirect
122. #14583119C22semidirect
123. #14583119C22semidirect
126. #14583117C22semidirect
127. #14583115C22semidirect
131. #14583064C22semidirect
133. #14583055C22semidirect
139. #14583038C22semidirect
141. #14583029C22semidirect
142. #14583028C22semidirect
144. #14583009C22semidirect
145. #14583003C22semidirect
146. #14583003C22semidirect
147. #14583003C22semidirect
152. #14583002C22semidirect
153. #14583002C22semidirect
154. #14583002C22semidirect
155. #14583000C22semidirect
156. #14583000C22semidirect
157. #14582998C22semidirect
159. #14582991C22semidirect
160. #14582991C22semidirect
161. SD16×Dic43C22semidirect
165. #14582984C22semidirect
166. #14582984C22semidirect
168. #14582981C22semidirect
169. #14582979C22semidirect
170. #14582974C22semidirect
171. #14582971C22semidirect
173. #14582968C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #14582942C22semidirect
179. #14582938C22semidirect
180. #14582935C22semidirect
183. #14582894C22semidirect
185. #14582857C22semidirect
186. #14582853C22semidirect
187. M16×Dic43C22semidirect
189. D4×Q8×C43C22semidirect
190. C43×#487C22semidirect
191. C43×#485C22semidirect
192. C43×#485C22semidirect
193. C43×#477C22semidirect
195. C43×#468C22semidirect
196. C43×#461C22semidirect
198. C43×#448C22semidirect
199. C4×SD16×C43C22semidirect
200. C43×#436C22semidirect
201. C43×#419C22semidirect
202. C43×#419C22semidirect
599. #10621884#41semidirect
855. #3329D43semidirect
906. D4×Q8C2×D43semidirect
946. #487C2×D43semidirect
950. #485C2×D43semidirect
951. #485C2×D43semidirect
966. #477C2×D43semidirect
978. #468C2×D43semidirect
992. #461C2×D43semidirect
1005. #448C2×D43semidirect
1033. C4×SD16C2×D43semidirect
1038. #436C2×D43semidirect
1049. #419C2×D43semidirect
1050. #419C2×D43semidirect
1058. C43#61513semidirect

Maximal subgroups

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

subgroupindex
#191485892
#191485522
#191476682
#191475192
#191473592
#191473182
#191472192
#191471232
#191470952
#191467982
#191467822
#191466712
#191466622
#191466112
#191462292
#191461062
#191460832
#191452702
#191452292
#191451832
#191448642
#191448452
#191448172
#191447822
#191447122
#191447072
#191435812
#191434502
#191434222
#191434102
C43×#33292
#6151343