Finite Group Databasebeta

← #25983473

Subgroups — #25983473

Order 11008.

2102 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148976C211yesmaximal, characteristic, complemented
2#19148353C211yesmaximal, characteristic, complemented
3#19146755C211yesmaximal, characteristic, complemented
4#19146746C211yesmaximal, characteristic, complemented
5#19146698C211yesmaximal, characteristic, complemented
6#19146691C211yesmaximal, characteristic, complemented
7#19146682C211yesmaximal, characteristic, complemented
8#19146669C211yesmaximal, characteristic, complemented
9#19146621C211yesmaximal, characteristic, complemented
10#19146618C211yesmaximal, characteristic, complemented
11#19146149C211yesmaximal, characteristic, complemented
12#19146123C211yesmaximal, characteristic, complemented
13#19146120C211yesmaximal, characteristic, complemented
14#19146099C211yesmaximal, characteristic, complemented
15#19146098C211yesmaximal, characteristic, complemented
16#19146096C211yesmaximal, characteristic, complemented
17#19146091C211yesmaximal, characteristic, complemented
18#19145629C211yesmaximal, characteristic, complemented
19#19145605C211yesmaximal, characteristic, complemented
20#19145496C211yesmaximal, characteristic, complemented
21#19145493C211yesmaximal, characteristic, complemented
22#19145481C211yesmaximal, characteristic, complemented
23#19145480C211yesmaximal, characteristic, complemented
24#19144732C211yesmaximal, characteristic, complemented
25#19144692C211yesmaximal, characteristic, complemented
26#19143897C211yesmaximal, characteristic, complemented
27#19143895C211yesmaximal, characteristic, complemented
28#19143871C211yesmaximal, characteristic, complemented
29#19143869C211yesmaximal, characteristic, complemented
30#19143663C211yesmaximal, characteristic, complemented
31C43×#3269C211yesmaximal, characteristic, complemented
32C2×#13063371C2211yescharacteristic
33C2×#13063371C2211yescharacteristic
34C2×#13063357C2211yescharacteristic, complemented
35C2×#13063350C2211yescharacteristic, complemented
36C2×#13063349C2211yescharacteristic, complemented
37C2×#13063346C2211yescharacteristic, complemented
38C22×#10621884C2211yescharacteristic, complemented
39C2×SD16×D43C2211yescharacteristic, complemented
40#14583645—21no—
41#14583644—21no—
42#14583613C2211yescharacteristic, complemented
43#14583611—21no—
44#14583607C2211yescharacteristic, complemented
45#14583598—21no—
46#14583590C2211yescharacteristic, complemented
47#14583589C2211yescharacteristic, complemented
48Q8×C22⋊D43C2211yescharacteristic, complemented
49#14583557C2211yescharacteristic, complemented
50#14583552C2211yescharacteristic
51#14583550—21no—
52#14583548C2211yescharacteristic, complemented
53#14583541—21no—
54#14583541—21no—
55#14583540C2211yescharacteristic
56#14583540C2211yescharacteristic
57#14583537C2211yescharacteristic
58#14583537C2211yescharacteristic
59D4×D172C2211yescharacteristic
60D4×D172C2211yescharacteristic
61#14583533—21no—
62#14583528—21no—
63#14583514—21no—
64#14583513—21no—
65#14583499—21no—
66#14583479C2211yescharacteristic
67#14583479C2211yescharacteristic
68#14583478C2211yescharacteristic, complemented
69#14583477C2211yescharacteristic, complemented
70#14583473C2211yescharacteristic, complemented
71#14583472C2211yescharacteristic, complemented
72#14583460—21no—
73#14583460—21no—
74#14583453C2211yescharacteristic, complemented
75#14583450C2211yescharacteristic
76#14583446C2211yescharacteristic
77#14583428C2211yescharacteristic, complemented
78C2×#13063300—21no—
79#121×D43—21no—
80C4×D4×D43C2211yescharacteristic
81#14583292C2211yescharacteristic, complemented
82#14583292C2211yescharacteristic, complemented
83#14583289C2211yescharacteristic, complemented
84#14583267C2211yescharacteristic, complemented
85#14583264C2211yescharacteristic, complemented
86#14583260C2211yescharacteristic, complemented
87#14583260C2211yescharacteristic, complemented
88#14583238C2211yescharacteristic, complemented
89#14583237C2211yescharacteristic, complemented
90#14583236C2211yescharacteristic, complemented
91#14583233C2211yescharacteristic, complemented
92#14583233C2211yescharacteristic, complemented
93#14583232C2211yescharacteristic, complemented
94#14583228C2211yescharacteristic, complemented
95#14583226C2211yescharacteristic, complemented
96#14583224C2211yescharacteristic, complemented
97#14583214C2211yescharacteristic, complemented
98#14583213C2211yescharacteristic, complemented
99#14583211C2211yescharacteristic, complemented
100#14583200C2211yescharacteristic, complemented
101#14583199C2211yescharacteristic, complemented
102#14583178C2211yescharacteristic, complemented
103#14583177C2211yescharacteristic, complemented
104#14583155C2211yescharacteristic, complemented
105#14583154C2211yescharacteristic, complemented
106#14583148C2211yescharacteristic, complemented
107#14583148C2211yescharacteristic, complemented
108#14583147C2211yescharacteristic, complemented
109#14583145C2211yescharacteristic, complemented
110#14583142C2211yescharacteristic, complemented
111#14583138C2211yescharacteristic, complemented
112#14583137C2211yescharacteristic, complemented
113#14583137C2211yescharacteristic, complemented
114#14583134C2211yescharacteristic, complemented
115#14583133C2211yescharacteristic, complemented
116#14583131C2211yescharacteristic, complemented
117#14583128C2211yescharacteristic, complemented
118#14583123C2211yescharacteristic, complemented
119#14583123C2211yescharacteristic, complemented
120#14583116C2211yescharacteristic, complemented
121#14583116C2211yescharacteristic, complemented
122#14583111C2211yescharacteristic, complemented
123#14583106C2211yescharacteristic, complemented
124#14583103C2211yescharacteristic, complemented
125#14583102C2211yescharacteristic, complemented
126#14583100C2211yescharacteristic, complemented
127#14583099C2211yescharacteristic, complemented
128#14583064C2211yescharacteristic, complemented
129#14583064C2211yescharacteristic, complemented
130#14583061C2211yescharacteristic, complemented
131#14583061C2211yescharacteristic, complemented
132#14583060C2211yescharacteristic, complemented
133#14583060C2211yescharacteristic, complemented
134#14583060C2211yescharacteristic, complemented
135#14583060C2211yescharacteristic, complemented
136#14583060C2211yescharacteristic, complemented
137#14583060C2211yescharacteristic, complemented
138#14583060C2211yescharacteristic, complemented
139#14583058C2211yescharacteristic, complemented
140#14583053C2211yescharacteristic, complemented
141#14583052C2211yescharacteristic, complemented
142#14583052C2211yescharacteristic, complemented
143#14583051C2211yescharacteristic
144#14583049C2211yescharacteristic, complemented
145#14583048C2211yescharacteristic
146#14583048C2211yescharacteristic
147#14583048C2211yescharacteristic, complemented
148#14583048C2211yescharacteristic, complemented
149#14583048C2211yescharacteristic, complemented
150#14583045C2211yescharacteristic, complemented
151#14583044C2211yescharacteristic, complemented
152#14583043C2211yescharacteristic, complemented
153#14583043C2211yescharacteristic, complemented
154#14583043C2211yescharacteristic, complemented
155#14583039C2211yescharacteristic, complemented
156#14583038C2211yescharacteristic, complemented
157#14583032C2211yescharacteristic, complemented
158#14583031C2211yescharacteristic
159#14583031C2211yescharacteristic, complemented
160#14583011C2211yescharacteristic, complemented
161#14583008C2211yescharacteristic, complemented
162#14583002C2211yescharacteristic, complemented
163#14583001C2211yescharacteristic, complemented
164#14583000C2211yescharacteristic, complemented
165#14582999C2211yescharacteristic, complemented
166#14582997C2211yescharacteristic, complemented
167#14582973C2211yescharacteristic, complemented
168#14582972C2211yescharacteristic, complemented
169#14582971C2211yescharacteristic, complemented
170#14582970C2211yescharacteristic, complemented
171#14582969C2211yescharacteristic, complemented
172#14582968C2211yescharacteristic, complemented
173#14582967C2211yescharacteristic, complemented
174#14582955C2211yescharacteristic, complemented
175#14582954C2211yescharacteristic, complemented
176#14582905C2211yescharacteristic, complemented
177#14582902C2211yescharacteristic, complemented
178#14582900C2211yescharacteristic, complemented
179#14582899C2211yescharacteristic, complemented
180#14582895C2211yescharacteristic, complemented
181#14582894C2211yescharacteristic, complemented
182C2×#13063247C2211yescharacteristic, complemented
183#102×D43C2211yescharacteristic, complemented
184#14582867C2211yescharacteristic, complemented
185#14582865C2211yescharacteristic, complemented
186#14582864C2211yescharacteristic, complemented
187#14582864C2211yescharacteristic, complemented
188C2×#137×C43C2211yescharacteristic, complemented
189C2×#135×C43C2211yescharacteristic, complemented
190C43×#548C2211yescharacteristic, complemented
191C43×#547C2211yescharacteristic
192C43×#497C2211yescharacteristic, complemented
193C43×#468C2211yescharacteristic, complemented
194C43×#467C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#462C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic, complemented
199C43×#451C2211yescharacteristic, complemented
200C43×#449C2211yescharacteristic, complemented
201C43×#440C2211yescharacteristic, complemented
202C43×#435C2211yescharacteristic, complemented
203#13063371—42no—
204#13063371—42no—
205#13063371—42no—
206#13063371—42no—
207C2×#10621902C2311yescharacteristic
208C2×#10621902C2311yescharacteristic
209C2×#10621902C2311yescharacteristic
210C2×#10621902C2311yescharacteristic
211C2×#10621898—21no—
212C2×#10621898—21no—
213C2×#10621898C2311yescharacteristic
214C2×#10621898C2311yescharacteristic
215C2×#10621900C2311yescharacteristic
216C2×Q8×D43C2311yescharacteristic
217C22×D172—21no—
218C22×D172—21no—
219C22×D172—21no—
220C22×D172C2311yescharacteristic
221C22×D172C2311yescharacteristic
222C2×D4×D43—21no—
223C2×D4×D43—21no—
224C2×D4×D43—21no—
225C2×D4×D43—21no—
226C2×D4×D43—21no—
227C2×D4×D43C2311yescharacteristic
228C2×D4×D43C2311yescharacteristic
229C2×D4×D43C2311yescharacteristic
230C22×C4×D43—21no—
231#13063357—42no—
232#13063350—42no—
233#13063349—42no—
234#13063346—42no—
235C2×#10621885C2311yescharacteristic
236C2×#10621885C2311yescharacteristic
237C2×#10621873C2311yescharacteristic
238C2×#10621873C2311yescharacteristic
239C2×#10621873C2311yescharacteristic
240C2×#10621883C2311yescharacteristic
241C2×#10621884—42no—
242C2×#10621884C2311yescharacteristic
243C2×#10621884C2311yescharacteristic
244C2×#10621884C2311yescharacteristic
245C2×#10621884C2311yescharacteristic
246C2×#10621884C2311yescharacteristic
247C2×#10621884C2311yescharacteristic
248SD16×D43—42no—
249C2×#10621882C2311yescharacteristic
250C2×#10621882C2311yescharacteristic
251C2×#10621882C2311yescharacteristic
252C2×#10621877C2311yescharacteristic
253C2×#10621872C2311yescharacteristic
254C2×#10621872C2311yescharacteristic
255C22×C43⋊C8C2311yescharacteristic
256C2×C8×D43C2311yescharacteristic
257C2×C8×D43C2311yescharacteristic
258#13063324—21no—
259#13063324D411yescharacteristic
260#13063324C2311yescharacteristic
261#13063323—21no—
262#13063323—21no—
263#13063323C2311yescharacteristic
264#13063322C2311yescharacteristic
265#13063321D411yescharacteristic
266#13063319—21no—
267#13063318—21no—
268#13063318—21no—
269#13063317C2311yescharacteristic
270#13063315—21no—
271#13063315—21no—
272#13063315—21no—
273#13063315—21no—
274#13063314—21no—
275#13063314C2311yescharacteristic
276#13063314C2311yescharacteristic
277#13063312—21no—
278#13063311—21no—
279#13063311—21no—
280#13063311—21no—
281#13063311D411yescharacteristic
282#13063311D411yescharacteristic
283#13063310—21no—
284#13063310—21no—
285#13063310—21no—
286#13063310—21no—
287#13063310—21no—
288#13063310—21no—
289#13063308—21no—
290#13063308—21no—
291#13063308—21no—
292#13063308—21no—
293#13063308—21no—
294#13063307—21no—
295#13063307—21no—
296#13063306—21no—
297#13063306—21no—
298#13063305—21no—
299#13063305C2311yescharacteristic
300#13063304—21no—
301#13063304—21no—
302#13063304C2311yescharacteristic
303#13063304C2311yescharacteristic
304#13063303—21no—
305#13063303—21no—
306#13063303—21no—
307#13063302—21no—
308#13063302—21no—
309#13063302—21no—
310#13063301—21no—
311#13063301C2311yescharacteristic
312#13063301C2311yescharacteristic
313#13063301C2311yescharacteristic
314#13063301C2311yescharacteristic
315#13063301C2311yescharacteristic
316#13063301C2311yescharacteristic
317#13063301C2311yescharacteristic
318#13063300—21no—
319#13063300—21no—
320#13063300—21no—
321#13063300—21no—
322#13063300—21no—
323#13063300—21no—
324#13063300—21no—
325#13063300—21no—
326#13063300D411yescharacteristic
327#13063300C2311yescharacteristic
328#13063300C2311yescharacteristic
329#13063299—21no—
330#13063299—21no—
331#13063299C2311yescharacteristic
332#13063299C2311yescharacteristic
333#13063298—21no—
334#13063298—21no—
335#13063298—21no—
336#13063298—21no—
337#13063298—21no—
338#13063298—21no—
339#13063298D411yescharacteristic
340#13063298D411yescharacteristic
341#13063297—21no—
342#13063297—21no—
343#13063297—21no—
344#13063297—21no—
345#13063297—21no—
346#13063297—21no—
347#13063297—21no—
348#13063296—21no—
349#13063296D411yescharacteristic
350#13063296C2311yescharacteristic
351#13063296C2311yescharacteristic
352#13063295—21no—
353#13063295—21no—
354#13063295—21no—
355#13063295—21no—
356#13063295—21no—
357#13063295—21no—
358#13063293—21no—
359#13063293—21no—
360Q8×Dic43C2311yescharacteristic
361C4×Dic86—21no—
362C4×Dic86C2311yescharacteristic
363C4×D172C2311yescharacteristic
364C4×D172C2311yescharacteristic
365D4×Dic43C2311yescharacteristic
366D4×Dic43C2311yescharacteristic
367#13063287—21no—
368#13063287—21no—
369#13063287C2311yescharacteristic
370C4×C22⋊D43—21no—
371C4×C22⋊D43—21no—
372C4×C22⋊D43C2311yescharacteristic
373C4×C22⋊D43C2311yescharacteristic
374(C22⋊D43)⋊C4—21no—
375(C22⋊D43)⋊C4—21no—
376(C22⋊D43)⋊C4—21no—
377(C22⋊D43)⋊C4—21no—
378#13063284C2311yescharacteristic
379#13063283C2311yescharacteristic
380#13063282—21no—
381#13063282—21no—
382#13063281—21no—
383#13063281—21no—
384#13063281—21no—
385C2×C4⋊Dic43C2311yescharacteristic
386C2×Dic43⋊C4—21no—
387C4⋊C4×D43—21no—
388C4⋊C4×D43C2311yescharacteristic
389C4⋊C4×D43C2311yescharacteristic
390C2×(C2×D43)⋊C4—21no—
391C2×(C2×D43)⋊C4—21no—
392C22⋊C4×D43—21no—
393C22⋊C4×D43—21no—
394C22⋊C4×D43—21no—
395C42×D43C2311yescharacteristic
396#13063259C2311yescharacteristic
397#13063259C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063258C2311yescharacteristic
400#13063258C2311yescharacteristic
401#13063257C2311yescharacteristic
402#13063256C2311yescharacteristic
403C4⋊(C43⋊C8)C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405Dic43⋊C8C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063245C2311yescharacteristic
430#13063245C2311yescharacteristic
431#13063245C2311yescharacteristic
432C22⋊(C43⋊C8)C2311yescharacteristic
433C22⋊(C43⋊C8)C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435(C2×D43)⋊C8C2311yescharacteristic
436(C2×D43)⋊C8C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441(C2×D43)⋊C8C2311yescharacteristic
442#13063236C2311yescharacteristic
443#13063235C2311yescharacteristic
444#13063235C2311yescharacteristic
445C2×#41×C43C2311yescharacteristic
446C2×#41×C43C2311yescharacteristic
447C2×#41×C43C2311yescharacteristic
448C22×Q8×C43C2311yescharacteristic
449#137×C43—42no—
450#135×C43—42no—
451C2×Q16×C43C2311yescharacteristic
452C2×Q16×C43C2311yescharacteristic
453C2×Q16×C43C2311yescharacteristic
454C2×Q16×C43C2311yescharacteristic
455C2×SD16×C43C2311yescharacteristic
456C2×SD16×C43C2311yescharacteristic
457C2×SD16×C43C2311yescharacteristic
458C2×SD16×C43C2311yescharacteristic
459C2×D8×C43C2311yescharacteristic
460C2×M16×C43C2311yescharacteristic
461C22×C8×C43C2311yescharacteristic
462C4⋊Q8×C43C2311yescharacteristic
463#124×C43—21no—
464#124×C43C2311yescharacteristic
465#123×C43—21no—
466#123×C43—21no—
467C22⋊Q8×C43—21no—
468C22⋊Q8×C43C2311yescharacteristic
469C22⋊Q8×C43C2311yescharacteristic
470C22⋊Q8×C43C2311yescharacteristic
471#121×C43—21no—
472#121×C43—21no—
473#121×C43C2311yescharacteristic
474C4×Q8×C43C2311yescharacteristic
475C4×D4×C43—21no—
476C4×D4×C43C2311yescharacteristic
477C4×D4×C43C2311yescharacteristic
478C2×C4⋊C4×C43—21no—
479#107×C43C2311yescharacteristic
480C4⋊C8×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#103×C43C2311yescharacteristic
483#103×C43C2311yescharacteristic
484#103×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486#102×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C22⋊C8×C43C2311yescharacteristic
489#97×C43C2311yescharacteristic
490C23×D43—21no—
491C23×D43—21no—
492C23×D43—21no—
493C23×D43—21no—
494C23×D43—21no—
495#41×C43—22no—
496#41×C43—22no—
497#41×C43—41no—
498#41×C43—41no—
499#41×C43—41no—
500#41×C43—41no—
501C2×Q8×C43—21no—
502C2×Q8×C43—41no—
503C2×Q8×C43—41no—
504C2×Q8×C43C2411yescharacteristic
505C2×Q8×C43C2411yescharacteristic
506C2×Q8×C43C2411yescharacteristic
507C2×Q8×C43C2411yescharacteristic
508C2×D4×C43—21no—
509C2×D4×C43—21no—
510C2×D4×C43—21no—
511C2×D4×C43—21no—
512C2×D4×C43C2×D411yescharacteristic
513C2×D4×C43C2411yescharacteristic
514C2×D4×C43C2411yescharacteristic
515C22×C4×C43—21no—
516C22×C4×C43—21no—
517C22×C4×C43—21no—
518C22×C4×C43—21no—
519C22×C4×C43—21no—
520C22×C4×C43C2411yescharacteristic
521C22×C4×C43C2411yescharacteristic
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43—21no—
529C2×C22⋊D43—21no—
530C2×C22⋊D43C2×D411yescharacteristic
531C2×C22⋊D43C2×D411yescharacteristic
532C2×C22⋊D43C2×D411yescharacteristic
533C2×C22⋊D43C2×D411yescharacteristic
534C2×C22⋊D43C2×D411yescharacteristic
535C2×C22⋊D43C2×D411yescharacteristic
536C22×Dic43—21no—
537C22×Dic43—21no—
538C22×Dic43—21no—
539C22×Dic43—21no—
540#10621902—22no—
541#10621902—22no—
542#10621902—41no—
543#10621902—41no—
544#10621902—41no—
545#10621902—41no—
546#10621902—41no—
547#10621902—41no—
548Q8×D43—41no—
549Q8×D43—41no—
550#10621900—41no—
551#10621900—41no—
552D4×D43—22no—
553D4×D43—22no—
554D4×D43—22no—
555D4×D43—22no—
556D4×D43—44no—
557D4×D43—44no—
558D4×D43—41no—
559D4×D43—41no—
560D4×D43—44no—
561D4×D43—44no—
562D4×D43—82no—
563#10621898—41no—
564#10621898—41no—
565#10621898—41no—
566#10621898—41no—
567#10621898—44no—
568#10621898—44no—
569C2×D172—21no—
570C2×D172—21no—
571C2×D172—21no—
572C2×D172—21no—
573C2×D172—21no—
574C2×D172—21no—
575C2×D172—21no—
576C2×D172—21no—
577C2×D172—21no—
578C2×D172—21no—
579C2×D172—22no—
580C2×D172—22no—
581C2×D172—44no—
582C2×D172—44no—
583C2×D172—41no—
584C2×D172—41no—
585C2×D172—82no—
586C2×D172C2×D411yescharacteristic
587C2×D172C2×D411yescharacteristic
588C2×D172C2×D411yescharacteristic
589C2×D172C2411yescharacteristic
590C2×D172C2411yescharacteristic
591C2×D172C2411yescharacteristic
592C2×C4×D43—21no—
593C2×C4×D43—21no—
594C2×C4×D43—21no—
595C2×C4×D43—21no—
596C2×C4×D43—21no—
597C2×C4×D43—21no—
598C2×C4×D43—21no—
599C2×C4×D43—21no—
600C2×C4×D43—21no—
601C2×C4×D43—82no—
602C2×C4×D43C2×D411yescharacteristic
603C2×C4×D43C2×D411yescharacteristic
604C2×C4×D43C2411yescharacteristic
605C2×C4×D43C2411yescharacteristic
606C2×C4×D43C2411yescharacteristic
607C2×Dic86—21no—
608C2×Dic86—21no—
609C2×Dic86C2×D411yescharacteristic
610C2×Dic86C2×D411yescharacteristic
611C2×Dic86C2411yescharacteristic
612Q16×C43—41no—
613Q16×C43—41no—
614Q16×C43—41no—
615Q16×C43—41no—
616SD16×C43—22no—
617SD16×C43—22no—
618SD16×C43—41no—
619SD16×C43—41no—
620D8×C43—22no—
621M16×C43—41no—
622C2×C8×C43—41no—
623C2×C8×C43C2411yescharacteristic
624C2×C8×C43C2411yescharacteristic
625C2×C8×C43C2411yescharacteristic
626C2×C8×C43C2411yescharacteristic
627C4⋊C4×C43—21no—
628C4⋊C4×C43—21no—
629C4⋊C4×C43—21no—
630C4⋊C4×C43—21no—
631C4⋊C4×C43—21no—
632C4⋊C4×C43—21no—
633C4⋊C4×C43C2×D411yescharacteristic
634C4⋊C4×C43C2411yescharacteristic
635C4⋊C4×C43C2411yescharacteristic
636C22⋊C4×C43—21no—
637C22⋊C4×C43—21no—
638C22⋊C4×C43—21no—
639C22⋊C4×C43—21no—
640C22⋊C4×C43—21no—
641C22⋊C4×C43—21no—
642C22⋊C4×C43—21no—
643C22⋊C4×C43C2×D411yescharacteristic
644C22⋊C4×C43C2×D411yescharacteristic
645C42×C43—21no—
646C42×C43C2411yescharacteristic
647C22⋊Dic43—21no—
648C22⋊Dic43—21no—
649C22⋊Dic43—21no—
650C22⋊Dic43—21no—
651C22⋊Dic43—21no—
652C22⋊Dic43—21no—
653C22⋊Dic43—21no—
654C22⋊Dic43C2×D411yescharacteristic
655C22⋊Dic43C2×D411yescharacteristic
656#10621885—41no—
657#10621885—41no—
658#10621884—22no—
659#10621884—22no—
660#10621884—41no—
661#10621884—41no—
662#10621884—41no—
663#10621884—41no—
664#10621883—22no—
665#10621882—22no—
666#10621882—41no—
667#10621882—41no—
668(C2×D43)⋊C4—21no—
669(C2×D43)⋊C4—21no—
670(C2×D43)⋊C4—21no—
671(C2×D43)⋊C4—21no—
672(C2×D43)⋊C4—21no—
673(C2×D43)⋊C4—21no—
674(C2×D43)⋊C4—21no—
675(C2×D43)⋊C4—21no—
676(C2×D43)⋊C4—21no—
677(C2×D43)⋊C4—21no—
678(C2×D43)⋊C4—21no—
679(C2×D43)⋊C4—21no—
680(C2×D43)⋊C4—21no—
681(C2×D43)⋊C4—21no—
682(C2×D43)⋊C4—21no—
683(C2×D43)⋊C4—21no—
684(C2×D43)⋊C4—21no—
685(C2×D43)⋊C4—21no—
686(C2×D43)⋊C4—21no—
687(C2×D43)⋊C4C2×D411yescharacteristic
688(C2×D43)⋊C4C2×D411yescharacteristic
689(C2×D43)⋊C4C2×D411yescharacteristic
690(C2×D43)⋊C4C2×D411yescharacteristic
691C4⋊Dic43—21no—
692C4⋊Dic43—21no—
693C4⋊Dic43—21no—
694C4⋊Dic43C2×D411yescharacteristic
695C4⋊Dic43C2411yescharacteristic
696C4⋊Dic43C2411yescharacteristic
697C4⋊Dic43C2411yescharacteristic
698C4⋊Dic43C2411yescharacteristic
699Dic43⋊C4—21no—
700Dic43⋊C4—21no—
701Dic43⋊C4—21no—
702Dic43⋊C4—21no—
703Dic43⋊C4—21no—
704Dic43⋊C4—21no—
705Dic43⋊C4—21no—
706Dic43⋊C4—21no—
707Dic43⋊C4—21no—
708Dic43⋊C4—21no—
709Dic43⋊C4—21no—
710Dic43⋊C4—21no—
711Dic43⋊C4—21no—
712Dic43⋊C4—21no—
713Dic43⋊C4—21no—
714Dic43⋊C4—21no—
715Dic43⋊C4—21no—
716Dic43⋊C4C2×D411yescharacteristic
717Dic43⋊C4C2×D411yescharacteristic
718C4×Dic43—21no—
719C4×Dic43—21no—
720C4×Dic43—21no—
721C4×Dic43—21no—
722C4×Dic43C2×D411yescharacteristic
723C4×Dic43C2×D411yescharacteristic
724C4×Dic43C2411yescharacteristic
725#10621877—41no—
726C2×C43⋊C8—41no—
727C2×C43⋊C8C2411yescharacteristic
728C2×C43⋊C8C2411yescharacteristic
729C2×C43⋊C8C2411yescharacteristic
730C2×C43⋊C8C2411yescharacteristic
731#10621873—22no—
732#10621873—41no—
733#10621873—41no—
734#10621872—41no—
735#10621872—41no—
736C8×D43—41no—
737C8×D43—41no—
738C23×C43—21no—
739C23×C43—21no—
740C23×C43C22×D411yescharacteristic
741C23×C43C22×D411yescharacteristic
742C22×D43—21no—
743C22×D43—24no—
744C22×D43—21no—
745C22×D43—21no—
746C22×D43—42no—
747C22×D43—42no—
748C22×D43—42no—
749C22×D43—42no—
750C22×D43—81no—
751C22×D43—81no—
752C22×D43—81no—
753C22×D43—81no—
754C22×D43—81no—
755C22×D43—81no—
756C22×D43—81no—
757C22×D43—81no—
758C22×D43—81no—
759C22×D43—81no—
760C22×D43C22×D411yescharacteristic
761C22×D43C22×D411yescharacteristic
762C22×D43C22×D411yescharacteristic
763Q8×C43—21no—
764Q8×C43—21no—
765Q8×C43—21no—
766Q8×C43—21no—
767Q8×C43—21no—
768Q8×C43—21no—
769Q8×C43—21no—
770Q8×C43—21no—
771Q8×C43—81no—
772D4×C43—21no—
773D4×C43—21no—
774D4×C43—21no—
775D4×C43—41no—
776D4×C43—42no—
777D4×C43—42no—
778D4×C43—81no—
779D4×C43—81no—
780D4×C43H(5,𝔽2)12yes—
781C2×C4×C43—21no—
782C2×C4×C43—21no—
783C2×C4×C43—21no—
784C2×C4×C43—21no—
785C2×C4×C43—21no—
786C2×C4×C43—21no—
787C2×C4×C43—21no—
788C2×C4×C43—21no—
789C2×C4×C43—21no—
790C2×C4×C43—21no—
791C2×C4×C43—42no—
792C2×C4×C43—42no—
793C2×C4×C43—42no—
794C2×C4×C43—81no—
795C2×C4×C43—81no—
796C2×C4×C43C22×D411yescharacteristic
797C2×C4×C43C22×D411yescharacteristic
798C2×C4×C43C22×D411yescharacteristic
799C2×C4×C43C22×D411yescharacteristic
800C2×C4×C43C2511yescharacteristic
801C22⋊D43—24no—
802C22⋊D43—41no—
803C22⋊D43—41no—
804C22⋊D43—41no—
805C22⋊D43—41no—
806C22⋊D43—41no—
807C22⋊D43—41no—
808C22⋊D43—42no—
809C22⋊D43—42no—
810C22⋊D43—81no—
811C22⋊D43—81no—
812C22⋊D43—81no—
813C22⋊D43—81no—
814C22⋊D43—81no—
815C2×Dic43—21no—
816C2×Dic43—21no—
817C2×Dic43—21no—
818C2×Dic43—21no—
819C2×Dic43—21no—
820C2×Dic43—42no—
821C2×Dic43—81no—
822C2×Dic43—81no—
823C2×Dic43—81no—
824C2×Dic43C22×D411yescharacteristic
825C2×Dic43C22×D411yescharacteristic
826C2×Dic43C22×D411yescharacteristic
827C2×Dic43C22×D411yescharacteristic
828C2×Dic43C22×D411yescharacteristic
829D172—21no—
830D172—21no—
831D172—21no—
832D172—21no—
833D172—21no—
834D172—41no—
835D172—41no—
836D172—41no—
837D172—42no—
838D172—42no—
839D172—42no—
840D172—42no—
841D172—42no—
842D172—42no—
843D172—42no—
844D172—81no—
845D172—81no—
846D172—81no—
847D172H(5,𝔽2)12yes—
848C4×D43—21no—
849C4×D43—21no—
850C4×D43—21no—
851C4×D43—21no—
852C4×D43—21no—
853C4×D43—21no—
854C4×D43—41no—
855C4×D43—41no—
856C4×D43—42no—
857C4×D43—42no—
858C4×D43—42no—
859C4×D43—42no—
860C4×D43—42no—
861C4×D43—81no—
862C4×D43—81no—
863C4×D43—81no—
864C4×D43—81no—
865Dic86—21no—
866Dic86—21no—
867Dic86—41no—
868Dic86—41no—
869Dic86—81no—
870Dic86—81no—
871C8×C43—21no—
872C8×C43—21no—
873C8×C43—21no—
874C8×C43—21no—
875C43⋊C8—21no—
876C43⋊C8—21no—
877C43⋊C8—21no—
878C43⋊C8—21no—
879#61670—431nomaximal, Sylow
880C22×C43—21no—
881C22×C43—21no—
882C22×C43—21no—
883C22×C43—21no—
884C22×C43—22no—
885C22×C43—21no—
886C22×C43—21no—
887C22×C43—41no—
888C22×C43—41no—
889C22×C43—41no—
890C22×C43—41no—
891C22×C43—41no—
892C22×C43C23×D411yescharacteristic
893C2×D43—21no—
894C2×D43—21no—
895C2×D43—21no—
896C2×D43—21no—
897C2×D43—21no—
898C2×D43—21no—
899C2×D43—21no—
900C2×D43—22no—
901C2×D43—21no—
902C2×D43—21no—
903C2×D43—41no—
904C2×D43—41no—
905C2×D43—41no—
906C2×D43—41no—
907C2×D43—41no—
908C2×D43—41no—
909C2×D43—41no—
910C2×D43—41no—
911C2×D43—84no—
912C2×D43—162no—
913C2×D43—162no—
914C2×D43—162no—
915C2×D43—162no—
916C4×C43—21no—
917C4×C43—21no—
918C4×C43—21no—
919C4×C43—21no—
920C4×C43—41no—
921C4×C43—41no—
922C4×C43—41no—
923C4×C43—41no—
924C4×C43—41no—
925C4×C43—41no—
926C4×C43C2×H(5,𝔽2)11yescharacteristic
927C4×C43C2×H(5,𝔽2)11yescharacteristic
928Dic43—21no—
929Dic43—21no—
930Dic43—21no—
931Dic43—21no—
932Dic43—21no—
933Dic43—41no—
934Dic43—41no—
935Dic43—41no—
936Dic43—41no—
937Dic43—41no—
938#3547—431no—
939#3496—431no—
940#3319—431no—
941#3319—431no—
942#3315—431no—
943#3315—431no—
944#3314—431no—
945#3314—431no—
946#3310—431no—
947#3310—431no—
948#3269—431no—
949#3269D4311yescharacteristic, complemented
950#3267—431no—
951#3267—431no—
952#3266—431no—
953#3266—431no—
954#3265—431no—
955#3265—431no—
956#3219—431no—
957#3216—431no—
958#3203—431no—
959#3203—431no—
960#3201—431no—
961#3201—431no—
962#3114—431no—
963#3110—431no—
964#3012—431no—
965#3012—431no—
966#3009—431no—
967#3009—431no—
968#2980—431no—
969C2×C43—42no—
970C2×C43—41no—
971C2×C43—41no—
972C2×C43—81no—
973C2×C43#348411yescharacteristic
974C2×C43#358511yescharacteristic
975C2×C43#358611yescharacteristic
976D43—41no—
977D43—41no—
978D43—41no—
979D43—42no—
980D43—81no—
981D43—81no—
982C2×H(5,𝔽2)—431no—
983C2×H(5,𝔽2)—431no—
984C2×#137—431no—
985C2×#137C2×D4311yescharacteristic, complemented
986C2×AGL(1,ℤ/8)—431no—
987C2×AGL(1,ℤ/8)—431no—
988C2×#135—431no—
989C2×#135C2×D4311yescharacteristic, complemented
990C22×SD16—431no—
991C22×SD16—431no—
992#562—861no—
993#562—861no—
994#555—431no—
995#555—861no—
996#554—431no—
997#553—861no—
998#552—431no—
999#552—431no—
1000D4×Q8—431no—
1001#548—431no—
1002#548C2×D4311yescharacteristic, complemented
1003#547—431no—
1004#547—431no—
1005#547—861no—
1006#547C2×D4311yescharacteristic
1007#546—431no—
1008#546—431no—
1009#546—431no—
1010#546—431no—
1011#546—861no—
1012#546—861no—
1013D42—431no—
1014D42—431no—
1015D42—861no—
1016#544—861no—
1017#542—861no—
1018#542—861no—
1019#540—861no—
1020#537—431no—
1021#537—431no—
1022#537—431no—
1023#537—431no—
1024#536—431no—
1025#536—431no—
1026#534—861no—
1027#534—861no—
1028#533—431no—
1029#532—431no—
1030#532—431no—
1031#529—431no—
1032C2×#121—861no—
1033C2×#121—861no—
1034C2×C4×D4—431no—
1035#497—431no—
1036#497—431no—
1037#497C2×D4311yescharacteristic, complemented
1038#496—431no—
1039#491—431no—
1040#490—431no—
1041#489—431no—
1042#489—431no—
1043#485—431no—
1044#485—431no—
1045#484—431no—
1046#484—431no—
1047#484—431no—
1048#484—431no—
1049#483—431no—
1050#482—431no—
1051#482—431no—
1052#480—431no—
1053#480—431no—
1054#480—431no—
1055#478—431no—
1056#478—431no—
1057#474—431no—
1058#474—431no—
1059#470—431no—
1060#470—431no—
1061#468—431no—
1062#468—431no—
1063#468—431no—
1064#468—431no—
1065#468—431no—
1066#468C2×D4311yescharacteristic, complemented
1067#467—431no—
1068#467—431no—
1069#467—431no—
1070#467C2×D4311yescharacteristic, complemented
1071#466—431no—
1072#466—431no—
1073#465—431no—
1074#465—431no—
1075#464—431no—
1076#464—431no—
1077#463—431no—
1078#463—431no—
1079#463—431no—
1080#463C2×D4311yescharacteristic, complemented
1081#462—431no—
1082#462C2×D4311yescharacteristic, complemented
1083#461—431no—
1084#461—431no—
1085#460—431no—
1086#460—431no—
1087#452—431no—
1088#452—431no—
1089#452—431no—
1090#452—431no—
1091#452—431no—
1092#452—431no—
1093#452—431no—
1094#452—431no—
1095#452—431no—
1096#452—431no—
1097#452—431no—
1098#452—431no—
1099#452C2×D4311yescharacteristic, complemented
1100#452C2×D4311yescharacteristic, complemented
1101#451—431no—
1102#451C2×D4311yescharacteristic, complemented
1103#450—431no—
1104#450—431no—
1105#450—431no—
1106#450—431no—
1107#450—431no—
1108#450—431no—
1109#450—431no—
1110#450—431no—
1111#450—431no—
1112#449—431no—
1113#449—431no—
1114#449—431no—
1115#449—431no—
1116#449—431no—
1117#449C2×D4311yescharacteristic, complemented
1118#448—431no—
1119#448—431no—
1120#447—431no—
1121#447—431no—
1122#447—431no—
1123#442—431no—
1124#442—431no—
1125#440—431no—
1126#440—431no—
1127#440—431no—
1128#440—431no—
1129#440—431no—
1130#440C2×D4311yescharacteristic, complemented
1131#435—431no—
1132#435—431no—
1133#435—431no—
1134#435—431no—
1135#435—431no—
1136#435—431no—
1137#435—431no—
1138#435C2×D4311yescharacteristic, complemented
1139#432—431no—
1140#432—431no—
1141#418—431no—
1142#418—431no—
1143#417—431no—
1144#417—431no—
1145#416—431no—
1146#416—431no—
1147C2×#102—431no—
1148C2×#102—431no—
1149#408—431no—
1150#408—431no—
1151#408—431no—
1152#408—431no—
1153C43#6167011yescharacteristic, complemented, Sylow
1154H(5,𝔽2)—1722no—
1155H(5,𝔽2)—1722no—
1156H(5,𝔽2)—1722no—
1157H(5,𝔽2)—1722no—
1158C2×#41—431no—
1159C2×#41—431no—
1160C2×#41—431no—
1161C2×#41—431no—
1162C2×#41—431no—
1163C2×#41—431no—
1164C2×#41—431no—
1165C2×#41—861no—
1166C2×#41—861no—
1167C2×#41C22×D4311yescharacteristic
1168C2×#41C22×D4311yescharacteristic
1169C2×#41C22×D4311yescharacteristic
1170C22×Q8—431no—
1171C22×Q8C22×D4311yescharacteristic
1172C22×D4—431no—
1173C22×D4—431no—
1174C22×D4—431no—
1175C22×D4—431no—
1176C22×D4—431no—
1177C22×D4—861no—
1178C22×D4—861no—
1179C22×D4—861no—
1180C22×D4—861no—
1181C22×D4—861no—
1182C22×D4—861no—
1183C22×D4—861no—
1184C22×D4—861no—
1185C23×C4—861no—
1186#137—42no—
1187#137—1722no—
1188AGL(1,ℤ/8)—1722no—
1189AGL(1,ℤ/8)—1722no—
1190#135—42no—
1191#135—1722no—
1192C2×Q16—431no—
1193C2×Q16—431no—
1194C2×Q16C22×D4311yescharacteristic
1195C2×Q16C22×D4311yescharacteristic
1196C2×Q16C22×D4311yescharacteristic
1197C2×Q16C22×D4311yescharacteristic
1198C2×SD16—431no—
1199C2×SD16—431no—
1200C2×SD16—431no—
1201C2×SD16—431no—
1202C2×SD16—431no—
1203C2×SD16—431no—
1204C2×SD16—431no—
1205C2×SD16—431no—
1206C2×SD16—431no—
1207C2×SD16—431no—
1208C2×SD16—1722no—
1209C2×SD16—1722no—
1210C2×SD16C22×D4311yescharacteristic
1211C2×SD16C22×D4311yescharacteristic
1212C2×SD16C22×D4311yescharacteristic
1213C2×SD16C22×D4311yescharacteristic
1214C2×D8—431no—
1215C2×D8—431no—
1216C2×D8—431no—
1217C2×D8C22×D4311yescharacteristic
1218C2×M16—431no—
1219C2×M16—431no—
1220C2×M16—431no—
1221C2×M16C22×D4311yescharacteristic
1222C22×C8—431no—
1223C22×C8—431no—
1224C22×C8—431no—
1225C22×C8C22×D4311yescharacteristic
1226C4⋊Q8—431no—
1227C4⋊Q8—431no—
1228C4⋊Q8—431no—
1229C4⋊Q8—861no—
1230C4⋊Q8—861no—
1231C4⋊Q8—861no—
1232C4⋊Q8C22×D4311yescharacteristic
1233#127—431no—
1234#127—431no—
1235#126—861no—
1236#126—861no—
1237#126—861no—
1238#125—431no—
1239#125—861no—
1240#125—861no—
1241#125—861no—
1242#125—861no—
1243#124—21no—
1244#124—431no—
1245#124—431no—
1246#124—431no—
1247#124—431no—
1248#124—861no—
1249#124—861no—
1250#124—861no—
1251#124—861no—
1252#124—861no—
1253#124C22×D4311yescharacteristic
1254#123—21no—
1255#123—21no—
1256#123—861no—
1257#123—861no—
1258#123—861no—
1259#123—861no—
1260#123—861no—
1261#123—861no—
1262#123—861no—
1263#123—861no—
1264#123—861no—
1265#123—861no—
1266#123—861no—
1267#123—861no—
1268#123—861no—
1269#123—861no—
1270#123—861no—
1271C22⋊Q8—21no—
1272C22⋊Q8—431no—
1273C22⋊Q8—431no—
1274C22⋊Q8—431no—
1275C22⋊Q8—431no—
1276C22⋊Q8—431no—
1277C22⋊Q8—431no—
1278C22⋊Q8—431no—
1279C22⋊Q8—431no—
1280C22⋊Q8—431no—
1281C22⋊Q8—431no—
1282C22⋊Q8—861no—
1283C22⋊Q8—861no—
1284C22⋊Q8—861no—
1285C22⋊Q8—861no—
1286C22⋊Q8—861no—
1287C22⋊Q8—861no—
1288C22⋊Q8—861no—
1289C22⋊Q8—861no—
1290C22⋊Q8—861no—
1291C22⋊Q8—861no—
1292C22⋊Q8C22×D4311yescharacteristic
1293C22⋊Q8C22×D4311yescharacteristic
1294C22⋊Q8C22×D4311yescharacteristic
1295#121—21no—
1296#121—21no—
1297#121—431no—
1298#121—431no—
1299#121—431no—
1300#121—431no—
1301#121—431no—
1302#121—431no—
1303#121—431no—
1304#121—431no—
1305#121—431no—
1306#121—431no—
1307#121—861no—
1308#121—861no—
1309#121—861no—
1310#121—861no—
1311#121—861no—
1312#121—861no—
1313#121—861no—
1314#121—861no—
1315#121—861no—
1316#121—861no—
1317#121—861no—
1318#121—861no—
1319#121—861no—
1320#121—861no—
1321#121—861no—
1322#121—861no—
1323#121—861no—
1324#121—861no—
1325#121—861no—
1326#121—861no—
1327#121—861no—
1328#121—861no—
1329#121—861no—
1330#121—861no—
1331#121C22×D4311yescharacteristic
1332#120—861no—
1333#120—861no—
1334#120—861no—
1335#120—861no—
1336#120—861no—
1337#120—861no—
1338#120—861no—
1339#120—861no—
1340C4×Q8—431no—
1341C4×Q8—431no—
1342C4×Q8—861no—
1343C4×Q8C22×D4311yescharacteristic
1344C4×D4—21no—
1345C4×D4—431no—
1346C4×D4—431no—
1347C4×D4—431no—
1348C4×D4—431no—
1349C4×D4—431no—
1350C4×D4—431no—
1351C4×D4—431no—
1352C4×D4—861no—
1353C4×D4—861no—
1354C4×D4—861no—
1355C4×D4—861no—
1356C4×D4—861no—
1357C4×D4—861no—
1358C4×D4—861no—
1359C4×D4—861no—
1360C4×D4C22×D4311yescharacteristic
1361C4×D4C22×D4311yescharacteristic
1362#117—431no—
1363#117—431no—
1364#117—861no—
1365#117—861no—
1366#117—861no—
1367#117—861no—
1368#117—861no—
1369C2×C4⋊C4—21no—
1370C2×C4⋊C4—431no—
1371C2×C4⋊C4—431no—
1372C2×C4⋊C4—431no—
1373C2×C4⋊C4—861no—
1374C2×C4⋊C4—861no—
1375C2×C22⋊C4—861no—
1376C2×C22⋊C4—861no—
1377C2×C22⋊C4—861no—
1378C2×C22⋊C4—861no—
1379C2×C22⋊C4—861no—
1380C2×C42—431no—
1381#107—431no—
1382#107—431no—
1383#107—431no—
1384#107—431no—
1385#107—431no—
1386#107C22×D4311yescharacteristic
1387#106—431no—
1388#106—431no—
1389C4⋊C8—431no—
1390C4⋊C8—431no—
1391C4⋊C8—431no—
1392C4⋊C8C22×D4311yescharacteristic
1393#103—431no—
1394#103—431no—
1395#103—431no—
1396#103—431no—
1397#103—431no—
1398#103—431no—
1399#103—431no—
1400#103—431no—
1401#103—431no—
1402#103—431no—
1403#103C22×D4311yescharacteristic
1404#103C22×D4311yescharacteristic
1405#103C22×D4311yescharacteristic
1406#103C22×D4311yescharacteristic
1407#102—431no—
1408#102—431no—
1409#102—431no—
1410#102—431no—
1411#102—431no—
1412#102—431no—
1413#102—431no—
1414#102—431no—
1415#102—431no—
1416#102—431no—
1417#102—431no—
1418#102—431no—
1419#102—431no—
1420#102—431no—
1421#102—431no—
1422#102—431no—
1423#102C22×D4311yescharacteristic
1424#102C22×D4311yescharacteristic
1425C22⋊C8—431no—
1426C22⋊C8—431no—
1427C22⋊C8—431no—
1428C22⋊C8—431no—
1429C22⋊C8—431no—
1430C22⋊C8—431no—
1431C22⋊C8—431no—
1432C22⋊C8—431no—
1433C22⋊C8—431no—
1434C22⋊C8—431no—
1435C22⋊C8C22×D4311yescharacteristic
1436C22⋊C8C22×D4311yescharacteristic
1437#97—431no—
1438#97—431no—
1439#97—431no—
1440#97C22×D4311yescharacteristic
1441C24—861no—
1442C24—861no—
1443C24—861no—
1444C24—861no—
1445C24—861no—
1446#41—22no—
1447#41—22no—
1448#41—41no—
1449#41—41no—
1450#41—41no—
1451#41—41no—
1452#41—862no—
1453#41—862no—
1454#41—1721no—
1455#41—1721no—
1456#41—1721no—
1457#41—1721no—
1458#41—1724no—
1459#41—1724no—
1460#41—1721no—
1461#41—1721no—
1462#41—1721no—
1463#41—1721no—
1464#41—1721no—
1465#41—1721no—
1466#41—1721no—
1467#41—1721no—
1468C2×Q8—21no—
1469C2×Q8—41no—
1470C2×Q8—41no—
1471C2×Q8—431no—
1472C2×Q8—431no—
1473C2×Q8—431no—
1474C2×Q8—861no—
1475C2×Q8—861no—
1476C2×Q8—1721no—
1477C2×Q8—1721no—
1478C2×Q8C23×D4311yescharacteristic
1479C2×Q8C23×D4311yescharacteristic
1480C2×Q8C23×D4311yescharacteristic
1481C2×Q8C23×D4311yescharacteristic
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—431no—
1487C2×D4—431no—
1488C2×D4—431no—
1489C2×D4—431no—
1490C2×D4—431no—
1491C2×D4—431no—
1492C2×D4—431no—
1493C2×D4—431no—
1494C2×D4—431no—
1495C2×D4—431no—
1496C2×D4—431no—
1497C2×D4—431no—
1498C2×D4—862no—
1499C2×D4—862no—
1500C2×D4—861no—
1501C2×D4—861no—
1502C2×D4—861no—
1503C2×D4—861no—
1504C2×D4—861no—
1505C2×D4—861no—
1506C2×D4—861no—
1507C2×D4—861no—
1508C2×D4—861no—
1509C2×D4—862no—
1510C2×D4—862no—
1511C2×D4—862no—
1512C2×D4—862no—
1513C2×D4—861no—
1514C2×D4—861no—
1515C2×D4—861no—
1516C2×D4—861no—
1517C2×D4—861no—
1518C2×D4—861no—
1519C2×D4—861no—
1520C2×D4—861no—
1521C2×D4—861no—
1522C2×D4—3442no—
1523C2×D4—3442no—
1524C2×D4—1721no—
1525C2×D4—1721no—
1526C2×D4—1724no—
1527C2×D4—1724no—
1528C2×D4—1721no—
1529C2×D4—1721no—
1530C2×D4—1724no—
1531C2×D4—1724no—
1532C2×D4—1724no—
1533C2×D4—1724no—
1534C2×D4D4×D4311yescharacteristic
1535C2×D4C23×D4311yescharacteristic
1536C2×D4C23×D4311yescharacteristic
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—21no—
1541C22×C4—21no—
1542C22×C4—431no—
1543C22×C4—431no—
1544C22×C4—431no—
1545C22×C4—431no—
1546C22×C4—431no—
1547C22×C4—861no—
1548C22×C4—861no—
1549C22×C4—861no—
1550C22×C4—861no—
1551C22×C4—861no—
1552C22×C4—861no—
1553C22×C4—861no—
1554C22×C4—861no—
1555C22×C4—861no—
1556C22×C4—861no—
1557C22×C4—861no—
1558C22×C4—861no—
1559C22×C4—861no—
1560C22×C4—3442no—
1561C22×C4C23×D4311yescharacteristic
1562C22×C4C23×D4311yescharacteristic
1563Q16—41no—
1564Q16—41no—
1565Q16—41no—
1566Q16—41no—
1567Q16—1721no—
1568Q16—1721no—
1569SD16—22no—
1570SD16—22no—
1571SD16—41no—
1572SD16—41no—
1573SD16—862no—
1574SD16—862no—
1575SD16—862no—
1576SD16—862no—
1577SD16—1721no—
1578SD16—1721no—
1579SD16—1721no—
1580SD16—1721no—
1581SD16—1721no—
1582SD16—1721no—
1583D8—22no—
1584D8—862no—
1585D8—1721no—
1586D8—1721no—
1587M16—41no—
1588M16—1721no—
1589M16—1721no—
1590M16—1721no—
1591C2×C8—41no—
1592C2×C8—431no—
1593C2×C8—431no—
1594C2×C8—431no—
1595C2×C8—431no—
1596C2×C8—1721no—
1597C2×C8—1721no—
1598C2×C8—1721no—
1599C2×C8C23×D4311yescharacteristic
1600C2×C8C23×D4311yescharacteristic
1601C2×C8C23×D4311yescharacteristic
1602C2×C8C23×D4311yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—431no—
1610C4⋊C4—431no—
1611C4⋊C4—431no—
1612C4⋊C4—431no—
1613C4⋊C4—431no—
1614C4⋊C4—431no—
1615C4⋊C4—431no—
1616C4⋊C4—861no—
1617C4⋊C4—861no—
1618C4⋊C4—861no—
1619C4⋊C4—861no—
1620C4⋊C4—861no—
1621C4⋊C4—861no—
1622C4⋊C4—861no—
1623C4⋊C4—861no—
1624C4⋊C4—861no—
1625C4⋊C4—861no—
1626C4⋊C4—861no—
1627C4⋊C4—861no—
1628C4⋊C4—861no—
1629C4⋊C4—861no—
1630C4⋊C4—861no—
1631C4⋊C4—861no—
1632C4⋊C4—861no—
1633C4⋊C4—861no—
1634C4⋊C4—861no—
1635C4⋊C4—861no—
1636C4⋊C4D4×D4311yescharacteristic
1637C4⋊C4C23×D4311yescharacteristic
1638C4⋊C4C23×D4311yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—431no—
1647C22⋊C4—431no—
1648C22⋊C4—431no—
1649C22⋊C4—431no—
1650C22⋊C4—431no—
1651C22⋊C4—431no—
1652C22⋊C4—861no—
1653C22⋊C4—861no—
1654C22⋊C4—861no—
1655C22⋊C4—861no—
1656C22⋊C4—861no—
1657C22⋊C4—861no—
1658C22⋊C4—861no—
1659C22⋊C4—861no—
1660C22⋊C4—861no—
1661C22⋊C4—861no—
1662C22⋊C4—861no—
1663C22⋊C4—861no—
1664C22⋊C4—861no—
1665C22⋊C4—861no—
1666C22⋊C4—861no—
1667C22⋊C4—861no—
1668C22⋊C4—861no—
1669C22⋊C4—861no—
1670C22⋊C4—861no—
1671C22⋊C4—861no—
1672C22⋊C4—861no—
1673C22⋊C4—861no—
1674C22⋊C4—861no—
1675C22⋊C4—861no—
1676C22⋊C4—861no—
1677C22⋊C4—861no—
1678C22⋊C4D4×D4311yescharacteristic
1679C22⋊C4D4×D4311yescharacteristic
1680C42—21no—
1681C42—431no—
1682C42—431no—
1683C42—431no—
1684C42—861no—
1685C42—861no—
1686C42—861no—
1687C42—861no—
1688C42C23×D4311yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—431no—
1692C23—431no—
1693C23—431no—
1694C23—864no—
1695C23—861no—
1696C23—861no—
1697C23—861no—
1698C23—3441no—
1699C23—3441no—
1700C23—3441no—
1701C23—3441no—
1702C23—3441no—
1703C23—3441no—
1704C23—3441no—
1705C23—3441no—
1706C23—3441no—
1707C23—3441no—
1708C23—1722no—
1709C23—1722no—
1710C23—1722no—
1711C23—1722no—
1712C23C2×D4×D4311yescharacteristic
1713C23C2×D4×D4311yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—21no—
1721Q8—21no—
1722Q8—81no—
1723Q8—861no—
1724Q8—861no—
1725Q8—3441no—
1726Q8—3441no—
1727Q8—1721no—
1728Q8—1721no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—41no—
1733D4—42no—
1734D4—42no—
1735D4—81no—
1736D4—81no—
1737D4—432no—
1738D4—864no—
1739D4—861no—
1740D4—861no—
1741D4—861no—
1742D4—861no—
1743D4—861no—
1744D4—3441no—
1745D4—3441no—
1746D4—3441no—
1747D4—3441no—
1748D4—3441no—
1749D4—3441no—
1750D4—3441no—
1751D4—3441no—
1752D4—1721no—
1753D4—1721no—
1754D4—1721no—
1755D4—1722no—
1756D4—1722no—
1757D4—1722no—
1758D4—1722no—
1759D4—1722no—
1760D4—1722no—
1761D4—1722no—
1762D4—1721no—
1763D4—1721no—
1764D4—1721no—
1765D4—1721no—
1766D4—1721no—
1767D4—1721no—
1768D4—1722no—
1769D4—1722no—
1770D4#1306337012yes—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—42no—
1782C2×C4—42no—
1783C2×C4—42no—
1784C2×C4—81no—
1785C2×C4—81no—
1786C2×C4—431no—
1787C2×C4—431no—
1788C2×C4—431no—
1789C2×C4—431no—
1790C2×C4—431no—
1791C2×C4—861no—
1792C2×C4—861no—
1793C2×C4—861no—
1794C2×C4—861no—
1795C2×C4—861no—
1796C2×C4—861no—
1797C2×C4—861no—
1798C2×C4—861no—
1799C2×C4—861no—
1800C2×C4—861no—
1801C2×C4—861no—
1802C2×C4—3441no—
1803C2×C4—3441no—
1804C2×C4—3441no—
1805C2×C4—3441no—
1806C2×C4—3441no—
1807C2×C4—3441no—
1808C2×C4—3441no—
1809C2×C4—1721no—
1810C2×C4—1721no—
1811C2×C4—1722no—
1812C2×C4—1722no—
1813C2×C4—1722no—
1814C2×C4—1722no—
1815C2×C4—1722no—
1816C2×C4—1722no—
1817C2×C4C2×D4×D4311yescharacteristic
1818C2×C4C2×D4×D4311yescharacteristic
1819C2×C4C2×D4×D4311yescharacteristic
1820C2×C4C2×D4×D4311yescharacteristic
1821C2×C4C24×D4311yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—861no—
1827C8—861no—
1828C8—861no—
1829C8—861no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—22no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—861no—
1843C22—861no—
1844C22—861no—
1845C22—861no—
1846C22—861no—
1847C22—861no—
1848C22—861no—
1849C22—861no—
1850C22—861no—
1851C22—862no—
1852C22—3444no—
1853C22—1721no—
1854C22—1721no—
1855C22—1721no—
1856C22—1721no—
1857C22—1721no—
1858C22—1721no—
1859C22—1721no—
1860C22—1721no—
1861C22—6882no—
1862C22—6882no—
1863C22—6882no—
1864C22—6882no—
1865C22C22×D4×D4311yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—861no—
1877C4—861no—
1878C4—861no—
1879C4—861no—
1880C4—861no—
1881C4—1721no—
1882C4—1721no—
1883C4—1721no—
1884C4—1721no—
1885C4—1721no—
1886C4H(5,𝔽2)×D4311yescharacteristic
1887C4C2×#1306337011yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—42no—
1891C2—81no—
1892C2—3441no—
1893C2—3441no—
1894C2—1721no—
1895C2—1721no—
1896C2—1721no—
1897C2—1722no—
1898C2#1914822311yescharacteristic
1899C2#1914937211yescharacteristic
1900C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3269C2
socleC22×C43C23×D4
hypercenter#3269D43
hypocenterC43#61670
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3269

Complements

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

NH ≅ G/Ntype
1. #19148976C2semidirect
2. #19148353C2semidirect
3. #19146755C2semidirect
4. #19146746C2semidirect
5. #19146698C2semidirect
6. #19146691C2semidirect
7. #19146682C2semidirect
8. #19146669C2semidirect
9. #19146621C2semidirect
10. #19146618C2semidirect
11. #19146149C2semidirect
12. #19146123C2semidirect
13. #19146120C2semidirect
14. #19146099C2semidirect
15. #19146098C2semidirect
16. #19146096C2semidirect
17. #19146091C2semidirect
18. #19145629C2semidirect
19. #19145605C2semidirect
20. #19145496C2semidirect
21. #19145493C2semidirect
22. #19145481C2semidirect
23. #19145480C2semidirect
24. #19144732C2semidirect
25. #19144692C2semidirect
26. #19143897C2semidirect
27. #19143895C2semidirect
28. #19143871C2semidirect
29. #19143869C2semidirect
30. #19143663C2semidirect
31. C43×#3269C2semidirect
34. C2×#13063357C22semidirect
35. C2×#13063350C22semidirect
36. C2×#13063349C22semidirect
37. C2×#13063346C22semidirect
38. C22×#10621884C22semidirect
39. C2×SD16×D43C22semidirect
42. #14583613C22semidirect
44. #14583607C22semidirect
46. #14583590C22semidirect
47. #14583589C22semidirect
48. Q8×C22⋊D43C22semidirect
49. #14583557C22semidirect
52. #14583548C22semidirect
68. #14583478C22semidirect
69. #14583477C22semidirect
70. #14583473C22semidirect
71. #14583472C22semidirect
74. #14583453C22semidirect
77. #14583428C22semidirect
81. #14583292C22semidirect
82. #14583292C22semidirect
83. #14583289C22semidirect
84. #14583267C22semidirect
85. #14583264C22semidirect
86. #14583260C22semidirect
87. #14583260C22semidirect
88. #14583238C22semidirect
89. #14583237C22semidirect
90. #14583236C22semidirect
91. #14583233C22semidirect
92. #14583233C22semidirect
93. #14583232C22semidirect
94. #14583228C22semidirect
95. #14583226C22semidirect
96. #14583224C22semidirect
97. #14583214C22semidirect
98. #14583213C22semidirect
99. #14583211C22semidirect
100. #14583200C22semidirect
101. #14583199C22semidirect
102. #14583178C22semidirect
103. #14583177C22semidirect
104. #14583155C22semidirect
105. #14583154C22semidirect
106. #14583148C22semidirect
107. #14583148C22semidirect
108. #14583147C22semidirect
109. #14583145C22semidirect
110. #14583142C22semidirect
111. #14583138C22semidirect
112. #14583137C22semidirect
113. #14583137C22semidirect
114. #14583134C22semidirect
115. #14583133C22semidirect
116. #14583131C22semidirect
117. #14583128C22semidirect
118. #14583123C22semidirect
119. #14583123C22semidirect
120. #14583116C22semidirect
121. #14583116C22semidirect
122. #14583111C22semidirect
123. #14583106C22semidirect
124. #14583103C22semidirect
125. #14583102C22semidirect
126. #14583100C22semidirect
127. #14583099C22semidirect
128. #14583064C22semidirect
129. #14583064C22semidirect
130. #14583061C22semidirect
131. #14583061C22semidirect
132. #14583060C22semidirect
133. #14583060C22semidirect
134. #14583060C22semidirect
135. #14583060C22semidirect
136. #14583060C22semidirect
137. #14583060C22semidirect
138. #14583060C22semidirect
139. #14583058C22semidirect
140. #14583053C22semidirect
141. #14583052C22semidirect
142. #14583052C22semidirect
144. #14583049C22semidirect
147. #14583048C22semidirect
148. #14583048C22semidirect
149. #14583048C22semidirect
150. #14583045C22semidirect
151. #14583044C22semidirect
152. #14583043C22semidirect
153. #14583043C22semidirect
154. #14583043C22semidirect
155. #14583039C22semidirect
156. #14583038C22semidirect
157. #14583032C22semidirect
159. #14583031C22semidirect
160. #14583011C22semidirect
161. #14583008C22semidirect
162. #14583002C22semidirect
163. #14583001C22semidirect
164. #14583000C22semidirect
165. #14582999C22semidirect
166. #14582997C22semidirect
167. #14582973C22semidirect
168. #14582972C22semidirect
169. #14582971C22semidirect
170. #14582970C22semidirect
171. #14582969C22semidirect
172. #14582968C22semidirect
173. #14582967C22semidirect
174. #14582955C22semidirect
175. #14582954C22semidirect
176. #14582905C22semidirect
177. #14582902C22semidirect
178. #14582900C22semidirect
179. #14582899C22semidirect
180. #14582895C22semidirect
181. #14582894C22semidirect
182. C2×#13063247C22semidirect
183. #102×D43C22semidirect
184. #14582867C22semidirect
185. #14582865C22semidirect
186. #14582864C22semidirect
187. #14582864C22semidirect
188. C2×#137×C43C22semidirect
189. C2×#135×C43C22semidirect
190. C43×#548C22semidirect
192. C43×#497C22semidirect
193. C43×#468C22semidirect
194. C43×#467C22semidirect
195. C43×#463C22semidirect
196. C43×#462C22semidirect
197. C43×#452C22semidirect
198. C43×#452C22semidirect
199. C43×#451C22semidirect
200. C43×#449C22semidirect
201. C43×#440C22semidirect
202. C43×#435C22semidirect
949. #3269D43semidirect
985. C2×#137C2×D43semidirect
989. C2×#135C2×D43semidirect
1002. #548C2×D43semidirect
1037. #497C2×D43semidirect
1066. #468C2×D43semidirect
1070. #467C2×D43semidirect
1080. #463C2×D43semidirect
1082. #462C2×D43semidirect
1099. #452C2×D43semidirect
1100. #452C2×D43semidirect
1102. #451C2×D43semidirect
1117. #449C2×D43semidirect
1130. #440C2×D43semidirect
1138. #435C2×D43semidirect
1153. C43#61670semidirect

Maximal subgroups

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

subgroupindex
#191489762
#191483532
#191467552
#191467462
#191466982
#191466912
#191466822
#191466692
#191466212
#191466182
#191461492
#191461232
#191461202
#191460992
#191460982
#191460962
#191460912
#191456292
#191456052
#191454962
#191454932
#191454812
#191454802
#191447322
#191446922
#191438972
#191438952
#191438712
#191438692
#191436632
C43×#32692
#6167043