Finite Group Databasebeta

← #25979895

Subgroups — #25979895

Order 11008.

1832 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148669C211yesmaximal, characteristic, complemented
2#19148634C211yesmaximal, characteristic, complemented
3#19147669C211yesmaximal, characteristic, complemented
4#19147497C211yesmaximal, characteristic, complemented
5#19147420C211yesmaximal, characteristic, complemented
6#19147317C211yesmaximal, characteristic, complemented
7#19147203C211yesmaximal, characteristic, complemented
8#19147087C211yesmaximal, characteristic, complemented
9#19147038C211yesmaximal, characteristic, complemented
10#19146914C211yesmaximal, characteristic, complemented
11#19146793C211yesmaximal, characteristic, complemented
12#19146695C211yesmaximal, characteristic, complemented
13#19146674C211yesmaximal, characteristic, complemented
14#19146635C211yesmaximal, characteristic, complemented
15#19146554C211yesmaximal, characteristic, complemented
16#19146199C211yesmaximal, characteristic, complemented
17#19146126C211yesmaximal, characteristic, complemented
18#19146123C211yesmaximal, characteristic, complemented
19#19145265C211yesmaximal, characteristic, complemented
20#19145215C211yesmaximal, characteristic, complemented
21#19145199C211yesmaximal, characteristic, complemented
22#19144868C211yesmaximal, characteristic, complemented
23#19144863C211yesmaximal, characteristic, complemented
24#19144781C211yesmaximal, characteristic, complemented
25#19144755C211yesmaximal, characteristic, complemented
26#19144737C211yesmaximal, characteristic, complemented
27#19143578C211yesmaximal, characteristic, complemented
28#19143467C211yesmaximal, characteristic, complemented
29#19143423C211yesmaximal, characteristic, complemented
30C4×#13063352C211yesmaximal, characteristic, complemented
31C43×#3120C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C2×#13063346C2211yescharacteristic
35#14583623C2211yescharacteristic, complemented
36#14583621C2211yescharacteristic, complemented
37#14583620C2211yescharacteristic
38#14583609C2211yescharacteristic, complemented
39#14583605C2211yescharacteristic, complemented
40#14583604C2211yescharacteristic
41#14583602—21no—
42#14583602C2211yescharacteristic
43#14583583C2211yescharacteristic, complemented
44#14583582—21no—
45#14583581—21no—
46#14583578—21no—
47#14583574—21no—
48#14583574—21no—
49#14583573—21no—
50D4×Dic86C2211yescharacteristic, complemented
51#14583558—21no—
52#14583552C2211yescharacteristic
53#14583550C2211yescharacteristic
54#14583548C2211yescharacteristic
55#14583544C2211yescharacteristic, complemented
56#14583540C2211yescharacteristic
57#14583540C2211yescharacteristic, complemented
58#14583537C2211yescharacteristic
59#14583521C2211yescharacteristic, complemented
60#14583521C2211yescharacteristic, complemented
61#14583520C2211yescharacteristic
62#14583497—21no—
63#14583496—21no—
64#14583491—21no—
65#14583488—21no—
66#14583453C2211yescharacteristic, complemented
67#14583436C2211yescharacteristic
68#14583434—21no—
69#14583427C2211yescharacteristic
70#126×D43—21no—
71#14583408—21no—
72C2×#13063303—21no—
73#14583381C2211yescharacteristic, complemented
74#14583378C2211yescharacteristic, complemented
75#14583373C2211yescharacteristic, complemented
76C4×#10621902C2211yescharacteristic
77C4×D4×D43C2211yescharacteristic, complemented
78#14583309C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583296C2211yescharacteristic, complemented
81#14583292C2211yescharacteristic, complemented
82#14583291C2211yescharacteristic, complemented
83#14583284C2211yescharacteristic
84#14583266C2211yescharacteristic, complemented
85#14583260C2211yescharacteristic, complemented
86#14583260C2211yescharacteristic, complemented
87#14583260C2211yescharacteristic, complemented
88#14583256C2211yescharacteristic, complemented
89#14583249C2211yescharacteristic, complemented
90#14583243C2211yescharacteristic, complemented
91#14583241C2211yescharacteristic, complemented
92#14583239C2211yescharacteristic, complemented
93#14583233C2211yescharacteristic, complemented
94#14583228C2211yescharacteristic, complemented
95#14583228C2211yescharacteristic, complemented
96#14583224C2211yescharacteristic
97#14583219C2211yescharacteristic, complemented
98#14583214C2211yescharacteristic
99#14583214C2211yescharacteristic, complemented
100#14583202C2211yescharacteristic, complemented
101#14583201C2211yescharacteristic, complemented
102#14583192C2211yescharacteristic, complemented
103#14583192C2211yescharacteristic, complemented
104#14583190C2211yescharacteristic, complemented
105#14583188C2211yescharacteristic, complemented
106#14583187C2211yescharacteristic, complemented
107#14583183C2211yescharacteristic, complemented
108#14583180C2211yescharacteristic, complemented
109#14583178C2211yescharacteristic, complemented
110#14583156C2211yescharacteristic, complemented
111#14583155C2211yescharacteristic, complemented
112#14583154C2211yescharacteristic, complemented
113#14583154C2211yescharacteristic, complemented
114#14583153C2211yescharacteristic
115#14583148C2211yescharacteristic
116#14583147C2211yescharacteristic
117#14583146C2211yescharacteristic
118#14583138C2211yescharacteristic, complemented
119#14583131C2211yescharacteristic, complemented
120#14583131C2211yescharacteristic, complemented
121#14583130C2211yescharacteristic
122#14583124C2211yescharacteristic, complemented
123#14583123C2211yescharacteristic, complemented
124#14583117C2211yescharacteristic
125#14583117C2211yescharacteristic
126#14583116C2211yescharacteristic
127#14583116C2211yescharacteristic
128#14583115C2211yescharacteristic
129#14583115C2211yescharacteristic
130#14583107C2211yescharacteristic, complemented
131#14583103C2211yescharacteristic, complemented
132#14583064C2211yescharacteristic
133#14583060C2211yescharacteristic
134#14583060C2211yescharacteristic, complemented
135#14583058C2211yescharacteristic, complemented
136#14583052C2211yescharacteristic, complemented
137#14583048C2211yescharacteristic, complemented
138#14583047C2211yescharacteristic
139#14583045C2211yescharacteristic
140#14583035C2211yescharacteristic
141#14583034C2211yescharacteristic
142#14583028C2211yescharacteristic, complemented
143#14583026C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic
145#14583010C2211yescharacteristic
146#14583009C2211yescharacteristic
147#14583009C2211yescharacteristic
148#14583008C2211yescharacteristic
149#14583004C2211yescharacteristic, complemented
150#14583002C2211yescharacteristic, complemented
151#14583001C2211yescharacteristic, complemented
152#14583000C2211yescharacteristic, complemented
153#14583000C2211yescharacteristic, complemented
154#14582998C2211yescharacteristic, complemented
155#14582997C2211yescharacteristic, complemented
156#14582997C2211yescharacteristic, complemented
157#14582997C2211yescharacteristic, complemented
158C4×#10621885C2211yescharacteristic, complemented
159#14582991C2211yescharacteristic, complemented
160C4×#10621873C2211yescharacteristic, complemented
161C4×#10621884C2211yescharacteristic, complemented
162C4×#10621884C2211yescharacteristic, complemented
163C4×#10621884C2211yescharacteristic, complemented
164C4×D344C2211yescharacteristic
165C4×#10621882C2211yescharacteristic
166C4×#10621882C2211yescharacteristic
167#14582979C2211yescharacteristic
168#14582976C2211yescharacteristic, complemented
169#14582974C2211yescharacteristic
170#14582973C2211yescharacteristic, complemented
171#14582969C2211yescharacteristic, complemented
172#14582967C2211yescharacteristic
173#14582967C2211yescharacteristic, complemented
174#14582958C2211yescharacteristic, complemented
175#14582954C2211yescharacteristic, complemented
176#14582939C2211yescharacteristic, complemented
177#14582938C2211yescharacteristic, complemented
178#107×D43C2211yescharacteristic, complemented
179#14582902C2211yescharacteristic, complemented
180#14582899C2211yescharacteristic
181#14582899C2211yescharacteristic, complemented
182#14582897C2211yescharacteristic, complemented
183#14582895C2211yescharacteristic
184C2×#13063245C2211yescharacteristic, complemented
185#14582856C2211yescharacteristic, complemented
186#14582855C2211yescharacteristic, complemented
187C4×#10621872C2211yescharacteristic, complemented
188C43×#541C2211yescharacteristic, complemented
189C43×#520C2211yescharacteristic
190C43×#484C2211yescharacteristic, complemented
191C43×#483C2211yescharacteristic, complemented
192C43×#479C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic, complemented
194C43×#462C2211yescharacteristic, complemented
195C43×#461C2211yescharacteristic, complemented
196C43×#452C2211yescharacteristic
197C43×#452C2211yescharacteristic
198C43×#441C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C4×Q16×C43C2211yescharacteristic, complemented
201C4×SD16×C43C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×#10621900C2311yescharacteristic
207C22×Dic86—21no—
208C22×D172C2311yescharacteristic
209C2×D4×D43C2311yescharacteristic
210C22×C4×D43—21no—
211#13063352—24no—
212#13063350—24no—
213#13063346—24no—
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×D344C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621877C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C2×#10621872C2311yescharacteristic
230C22×C43⋊C8C2311yescharacteristic
231C2×C8×D43C2311yescharacteristic
232#13063325C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063323C2311yescharacteristic
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320D411yescharacteristic
245#13063319—21no—
246#13063319—21no—
247#13063319—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318D411yescharacteristic
251#13063317—21no—
252#13063316C2311yescharacteristic
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315D411yescharacteristic
257#13063314C2311yescharacteristic
258#13063314C2311yescharacteristic
259#13063314C2311yescharacteristic
260#13063313—21no—
261#13063313—21no—
262#13063313C2311yescharacteristic
263#13063311—21no—
264#13063311—21no—
265#13063311D411yescharacteristic
266#13063310—21no—
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310D411yescharacteristic
276#13063309—21no—
277#13063308—21no—
278#13063308—21no—
279#13063308—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307D411yescharacteristic
283#13063306—21no—
284#13063305—21no—
285#13063305—21no—
286#13063305C2311yescharacteristic
287#13063304—21no—
288#13063304—21no—
289#13063304C2311yescharacteristic
290#13063303—21no—
291#13063303—21no—
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063303—21no—
301#13063303D411yescharacteristic
302#13063302—21no—
303#13063302—21no—
304#13063301C2311yescharacteristic
305#13063301C2311yescharacteristic
306#13063301C2311yescharacteristic
307#13063301C2311yescharacteristic
308#13063300—21no—
309#13063300—21no—
310#13063300—21no—
311#13063300—21no—
312#13063300C2311yescharacteristic
313#13063300C2311yescharacteristic
314#13063300C2311yescharacteristic
315#13063299—21no—
316#13063299C2311yescharacteristic
317#13063298D411yescharacteristic
318#13063297—21no—
319#13063297—21no—
320#13063295—21no—
321#13063295—21no—
322#13063295—21no—
323#13063293—21no—
324Q8×Dic43C2311yescharacteristic
325Q8×Dic43C2311yescharacteristic
326C4×Dic86—21no—
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329#13063290—21no—
330#13063290C2311yescharacteristic
331C4×D172—21no—
332C4×D172—21no—
333C4×D172—21no—
334C4×D172—21no—
335C4×D172C2311yescharacteristic
336C4×D172C2311yescharacteristic
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340C4×D172C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343#13063287—21no—
344#13063287—21no—
345#13063287—21no—
346#13063287—21no—
347#13063287—21no—
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43C2311yescharacteristic
355C4×C22⋊D43C2311yescharacteristic
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358#13063284C2311yescharacteristic
359#13063283—21no—
360#13063283—21no—
361#13063283—21no—
362#13063283C2311yescharacteristic
363#13063282—21no—
364#13063282—21no—
365#13063282—21no—
366#13063282—21no—
367#13063282C2311yescharacteristic
368#13063281—21no—
369C2×Dic43⋊C4—21no—
370C2×Dic43⋊C4—21no—
371C4⋊C4×D43—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C2×(C2×D43)⋊C4—21no—
378C2×(C2×D43)⋊C4—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C42×D43—21no—
385C42×D43C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C2×Q16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C4⋊Q8×C43C2311yescharacteristic
444#126×C43—21no—
445#126×C43—21no—
446#125×C43—21no—
447#125×C43—21no—
448#125×C43C2311yescharacteristic
449C22⋊Q8×C43C2311yescharacteristic
450C22⋊Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43—21no—
456C4×D4×C43—21no—
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459#117×C43—21no—
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43—21no—
462C2×C4⋊C4×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477C22⋊C8×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483#41×C43—22no—
484#41×C43—41no—
485C2×Q8×C43C2411yescharacteristic
486C2×Q8×C43C2411yescharacteristic
487C2×Q8×C43C2411yescharacteristic
488C2×D4×C43—21no—
489C2×D4×C43C2411yescharacteristic
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43C2411yescharacteristic
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43C2×D411yescharacteristic
499C2×C22⋊D43C2×D411yescharacteristic
500C22×Dic43—21no—
501C22×Dic43—21no—
502C22×Dic43—21no—
503#10621902—22no—
504#10621902—22no—
505#10621902—41no—
506#10621902—41no—
507#10621900—22no—
508#10621900—41no—
509D4×D43—22no—
510D4×D43—41no—
511#10621898—82no—
512C2×D172—21no—
513C2×D172—21no—
514C2×D172—21no—
515C2×D172—21no—
516C2×D172—21no—
517C2×D172—21no—
518C2×D172—22no—
519C2×D172—41no—
520C2×D172C2×D411yescharacteristic
521C2×D172C2411yescharacteristic
522C2×D172C2411yescharacteristic
523C2×D172C2411yescharacteristic
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—82no—
538C2×C4×D43C2×D411yescharacteristic
539C2×C4×D43C2×D411yescharacteristic
540C2×C4×D43C2411yescharacteristic
541C2×C4×D43C2411yescharacteristic
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86—82no—
547C2×Dic86C2×D411yescharacteristic
548C2×Dic86C2411yescharacteristic
549Q16×C43—41no—
550Q16×C43—41no—
551SD16×C43—22no—
552SD16×C43—22no—
553C2×C8×C43C2411yescharacteristic
554C2×C8×C43C2411yescharacteristic
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43C2×D411yescharacteristic
569C4⋊C4×C43C2×D411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
572C4⋊C4×C43C2411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43C2×D411yescharacteristic
579C22⋊C4×C43C2×D411yescharacteristic
580C42×C43—21no—
581C42×C43—21no—
582C42×C43—21no—
583C42×C43—21no—
584C42×C43C2411yescharacteristic
585C42×C43C2411yescharacteristic
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43C2×D411yescharacteristic
591C22⋊Dic43C2×D411yescharacteristic
592#10621885—22no—
593#10621885—41no—
594#10621884—22no—
595#10621884—22no—
596#10621884—22no—
597#10621884—41no—
598#10621882—22no—
599#10621882#4114yescomplemented
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊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)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4C2×D411yescharacteristic
627(C2×D43)⋊C4C2×D411yescharacteristic
628(C2×D43)⋊C4C2×D411yescharacteristic
629(C2×D43)⋊C4C2×D411yescharacteristic
630(C2×D43)⋊C4C2×D411yescharacteristic
631(C2×D43)⋊C4C2×D411yescharacteristic
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43—21no—
636C4⋊Dic43—21no—
637C4⋊Dic43C2×D411yescharacteristic
638C4⋊Dic43C2×D411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
641C4⋊Dic43C2411yescharacteristic
642C4⋊Dic43C2411yescharacteristic
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2×D411yescharacteristic
673C4×Dic43C2411yescharacteristic
674C4×Dic43C2411yescharacteristic
675#10621877—22no—
676C2×C43⋊C8—41no—
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681D344—22no—
682D344—41no—
683#10621873—22no—
684#10621873—41no—
685#10621872—22no—
686#10621872—41no—
687#10621872—41no—
688C8×D43—22no—
689C23×C43—21no—
690C23×C43C22×D411yescharacteristic
691C22×D43—21no—
692C22×D43—21no—
693C22×D43—21no—
694C22×D43—42no—
695C22×D43—42no—
696C22×D43—42no—
697C22×D43—81no—
698C22×D43—81no—
699C22×D43—81no—
700C22×D43C22×D411yescharacteristic
701C22×D43C22×D411yescharacteristic
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—21no—
705Q8×C43—21no—
706Q8×C43—21no—
707Q8×C43—21no—
708D4×C43—21no—
709D4×C43—42no—
710D4×C43C2×#4112yes—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—42no—
721C2×C4×C43—81no—
722C2×C4×C43—81no—
723C2×C4×C43—81no—
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C2511yescharacteristic
730C22⋊D43—41no—
731C22⋊D43—41no—
732C22⋊D43—42no—
733C22⋊D43—42no—
734C22⋊D43—81no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—42no—
741C2×Dic43—42no—
742C2×Dic43—81no—
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749D172—21no—
750D172—21no—
751D172—21no—
752D172—21no—
753D172—21no—
754D172—41no—
755D172—42no—
756D172—42no—
757D172—42no—
758D172—81no—
759D172—81no—
760D172—81no—
761D172C2×#4112yes—
762C4×D43—21no—
763C4×D43—21no—
764C4×D43—21no—
765C4×D43—21no—
766C4×D43—41no—
767C4×D43—41no—
768C4×D43—42no—
769C4×D43—42no—
770C4×D43—42no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781Dic86—21no—
782Dic86—21no—
783Dic86—41no—
784Dic86—42no—
785Dic86—81no—
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#61510—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—22no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43C23×D411yescharacteristic
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—21no—
807C2×D43—21no—
808C2×D43—22no—
809C2×D43—21no—
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—84no—
820C2×D43—162no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—21no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43—41no—
832C4×C43—41no—
833C4×C43C22×#4111yescharacteristic
834C4×C43#58511yescharacteristic
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—21no—
839Dic43—21no—
840Dic43—21no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3521—431no—
847#3520—431no—
848#3402—431no—
849#3384—431no—
850#3376—431no—
851#3367—431no—
852#3356—431no—
853#3346—431no—
854#3343—431no—
855#3331—431no—
856#3322—431no—
857#3315—431no—
858#3314—431no—
859#3311—431no—
860#3306—431no—
861#3273—431no—
862#3267—431no—
863#3267—431no—
864#3178—431no—
865#3173—431no—
866#3172—431no—
867#3125—431no—
868#3124—431no—
869#3120D4311yescharacteristic, complemented
870#3118—431no—
871#3116—431no—
872#3114—431no—
873#2967—431no—
874#2951—431no—
875#2946—431no—
876C4×AGL(1,ℤ/8)—431no—
877C2×C43—42no—
878C2×C43—41no—
879C2×C43D4×#4111yescharacteristic
880C2×C43#358511yescharacteristic
881C2×C43#358611yescharacteristic
882D43—41no—
883D43—41no—
884D43—42no—
885D43—81no—
886D43—81no—
887C2×AGL(1,ℤ/8)—431no—
888C2×AGL(1,ℤ/8)—431no—
889C2×#135—431no—
890#556—431no—
891#556—431no—
892#556—431no—
893#554—431no—
894#554—431no—
895#554—431no—
896#553—431no—
897#553—861no—
898#552—431no—
899#552—861no—
900#552—861no—
901#551—861no—
902#551—861no—
903#551—861no—
904#551—861no—
905D4×Q8—431no—
906#548—861no—
907#547—431no—
908#547—431no—
909#547—431no—
910#546—431no—
911#546—431no—
912#546—431no—
913#546—431no—
914#542—431no—
915#542—431no—
916#542—431no—
917#541C2×D4311yescharacteristic, complemented
918#539—861no—
919#539—861no—
920#539—861no—
921#538—861no—
922#533—431no—
923#529—431no—
924#529—431no—
925#529—861no—
926C2×#126—861no—
927#525—861no—
928C2×C22⋊Q8—861no—
929#520—431no—
930#520—431no—
931#520C2×D4311yescharacteristic
932#518—431no—
933C4×#41—431no—
934C2×C4×D4—431no—
935#501—431no—
936#501—431no—
937#498—431no—
938#497—431no—
939#497—431no—
940#495—431no—
941#491—431no—
942#489—431no—
943#489—431no—
944#489—431no—
945#488—431no—
946#487—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#484—431no—
951#484C2×D4311yescharacteristic, complemented
952#483—431no—
953#483—431no—
954#483C2×D4311yescharacteristic, complemented
955#482—431no—
956#481—431no—
957#480—431no—
958#480—431no—
959#479C2×D4311yescharacteristic, complemented
960#478—431no—
961#478—431no—
962#478C2×D4311yescharacteristic, complemented
963#477—431no—
964#477—431no—
965#476—431no—
966#476—431no—
967#476—431no—
968#475—431no—
969#474—431no—
970#474—431no—
971#470—431no—
972#470—431no—
973#470—431no—
974#470—431no—
975#469—431no—
976#468—431no—
977#468—431no—
978#468—431no—
979#467—431no—
980#465—431no—
981#465—431no—
982#465—431no—
983#464—431no—
984#464—431no—
985#463—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#463—431no—
991#462—431no—
992#462C2×D4311yescharacteristic, complemented
993#461—431no—
994#461C2×D4311yescharacteristic, complemented
995#452—431no—
996#452—431no—
997#452—431no—
998#452—431no—
999#452C2×D4311yescharacteristic
1000#452C2×D4311yescharacteristic
1001#450—431no—
1002#450—431no—
1003#449—431no—
1004#449—431no—
1005#447—431no—
1006#447—431no—
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442—431no—
1013#442—431no—
1014#441—431no—
1015#441C2×D4311yescharacteristic, complemented
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#440C2×D4311yescharacteristic, complemented
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×Q16C2×D4311yescharacteristic, complemented
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16C2×D4311yescharacteristic, complemented
1033C4×D8—431no—
1034C4×D8—431no—
1035C4×D8—431no—
1036C4×D8—431no—
1037#436—431no—
1038#436—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435—431no—
1043#433—431no—
1044#433C2×D4311yescharacteristic, complemented
1045#432—431no—
1046#428—431no—
1047#428—431no—
1048C2×#107—431no—
1049#418—431no—
1050#417—431no—
1051#417—431no—
1052#417—431no—
1053#416—431no—
1054C2×#102—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16—431no—
1058C43#6151011yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—431no—
1062C2×#41—861no—
1063C2×#41C22×D4311yescharacteristic
1064C22×Q8—861no—
1065C22×D4—431no—
1066C22×D4—431no—
1067C23×C4—861no—
1068AGL(1,ℤ/8)—864no—
1069AGL(1,ℤ/8)—864no—
1070#135—864no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×Q16C22×D4311yescharacteristic
1074C2×Q16C22×D4311yescharacteristic
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16C22×D4311yescharacteristic
1082C2×SD16C22×D4311yescharacteristic
1083C2×D8—431no—
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×D8—431no—
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16—431no—
1090C2×M16—431no—
1091C22×C8—431no—
1092C22×C8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—431no—
1097C4⋊Q8—431no—
1098C4⋊Q8C22×D4311yescharacteristic
1099#126—21no—
1100#126—21no—
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—21no—
1116#125—21no—
1117#125—431no—
1118#125—431no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125C22×D4311yescharacteristic
1124#124—431no—
1125#124—431no—
1126#124—431no—
1127#124—431no—
1128#124—431no—
1129#124—861no—
1130#124—861no—
1131#124—861no—
1132#124—861no—
1133#123—431no—
1134#123—431no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
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⋊Q8—861no—
1172C22⋊Q8—861no—
1173C22⋊Q8—861no—
1174C22⋊Q8—861no—
1175C22⋊Q8C22×D4311yescharacteristic
1176C22⋊Q8C22×D4311yescharacteristic
1177#121—431no—
1178#121—431no—
1179#121—431no—
1180#121—431no—
1181#121—431no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121—861no—
1188#121—861no—
1189#120—861no—
1190#120—861no—
1191#120—861no—
1192#120—861no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—861no—
1199C4×Q8—861no—
1200C4×Q8C22×D4311yescharacteristic
1201C4×Q8C22×D4311yescharacteristic
1202C4×Q8C22×D4311yescharacteristic
1203C4×Q8C22×D4311yescharacteristic
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
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—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4—861no—
1233C4×D4C22×D4311yescharacteristic
1234C4×D4C22×D4311yescharacteristic
1235#117—21no—
1236#117—431no—
1237#117—431no—
1238#117—431no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117C22×D4311yescharacteristic
1248C2×C4⋊C4—21no—
1249C2×C4⋊C4—431no—
1250C2×C4⋊C4—431no—
1251C2×C4⋊C4—431no—
1252C2×C4⋊C4—861no—
1253C2×C4⋊C4—861no—
1254C2×C4⋊C4—861no—
1255C2×C4⋊C4—861no—
1256C2×C4⋊C4—861no—
1257C2×C4⋊C4C22×D4311yescharacteristic
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×C22⋊C4—861no—
1265C2×C42—431no—
1266C2×C42—861no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107C22×D4311yescharacteristic
1274#107C22×D4311yescharacteristic
1275#106—431no—
1276#106—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106C22×D4311yescharacteristic
1282#106C22×D4311yescharacteristic
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8C22×D4311yescharacteristic
1288C4⋊C8C22×D4311yescharacteristic
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#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#102C22×D4311yescharacteristic
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#97C22×D4311yescharacteristic
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C4×C8C22×D4311yescharacteristic
1337C24—861no—
1338C24—861no—
1339#41—22no—
1340#41—41no—
1341#41—862no—
1342#41—862no—
1343#41—862no—
1344#41—3442no—
1345#41—1721no—
1346#41—1721no—
1347#41—1721no—
1348C2×Q8—431no—
1349C2×Q8—431no—
1350C2×Q8—861no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8—861no—
1354C2×Q8—3442no—
1355C2×Q8C23×D4311yescharacteristic
1356C2×Q8C23×D4311yescharacteristic
1357C2×Q8C23×D4311yescharacteristic
1358C2×D4—21no—
1359C2×D4—431no—
1360C2×D4—431no—
1361C2×D4—431no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—431no—
1365C2×D4—862no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—862no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—1721no—
1377C2×D4—1721no—
1378C2×D4C23×D4311yescharacteristic
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—431no—
1384C22×C4—431no—
1385C22×C4—431no—
1386C22×C4—431no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—3442no—
1404C22×C4C23×D4311yescharacteristic
1405Q16—41no—
1406Q16—41no—
1407Q16—862no—
1408Q16—1721no—
1409SD16—22no—
1410SD16—22no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—862no—
1415SD16—1721no—
1416SD16—1721no—
1417D8—434no—
1418D8—862no—
1419D8—862no—
1420D8—1721no—
1421M16—862no—
1422M16—862no—
1423M16—1721no—
1424M16—1721no—
1425C2×C8—431no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—862no—
1430C2×C8—1721no—
1431C2×C8C23×D4311yescharacteristic
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
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—431no—
1455C4⋊C4—431no—
1456C4⋊C4—431no—
1457C4⋊C4—431no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4D4×D4311yescharacteristic
1480C4⋊C4D4×D4311yescharacteristic
1481C4⋊C4C23×D4311yescharacteristic
1482C4⋊C4C23×D4311yescharacteristic
1483C4⋊C4C23×D4311yescharacteristic
1484C4⋊C4C23×D4311yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—431no—
1490C22⋊C4—431no—
1491C22⋊C4—431no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
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⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4D4×D4311yescharacteristic
1528C22⋊C4D4×D4311yescharacteristic
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—431no—
1534C42—431no—
1535C42—431no—
1536C42—431no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42C23×D4311yescharacteristic
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—431no—
1547C23—431no—
1548C23—861no—
1549C23—861no—
1550C23—861no—
1551C23—3441no—
1552C23—3441no—
1553C23—3441no—
1554C23—1722no—
1555C23—1722no—
1556C23—1722no—
1557C23C2×D4×D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—861no—
1565Q8—861no—
1566Q8—3441no—
1567Q8—3441no—
1568Q8—3441no—
1569Q8—1721no—
1570Q8—1722no—
1571D4—21no—
1572D4—42no—
1573D4—432no—
1574D4—861no—
1575D4—861no—
1576D4—861no—
1577D4—861no—
1578D4—861no—
1579D4—3441no—
1580D4—3441no—
1581D4—3441no—
1582D4—3441no—
1583D4—1721no—
1584D4—1722no—
1585D4—1722no—
1586D4—1722no—
1587D4—1721no—
1588D4—1721no—
1589D4—1722no—
1590D4—1722no—
1591D4#41×D4312yes—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—42no—
1602C2×C4—81no—
1603C2×C4—81no—
1604C2×C4—81no—
1605C2×C4—431no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—431no—
1609C2×C4—431no—
1610C2×C4—431no—
1611C2×C4—861no—
1612C2×C4—861no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—3441no—
1621C2×C4—3441no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—1721no—
1632C2×C4—1721no—
1633C2×C4—1722no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4—1722no—
1638C2×C4C2×D4×D4311yescharacteristic
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C2×D4×D4311yescharacteristic
1643C2×C4C24×D4311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—432no—
1649C8—861no—
1650C8—861no—
1651C8—861no—
1652C22—21no—
1653C22—22no—
1654C22—21no—
1655C22—21no—
1656C22—41no—
1657C22—41no—
1658C22—861no—
1659C22—861no—
1660C22—862no—
1661C22—861no—
1662C22—861no—
1663C22—861no—
1664C22—861no—
1665C22—3444no—
1666C22—1721no—
1667C22—1721no—
1668C22—1721no—
1669C22—1721no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22—1721no—
1674C22—6882no—
1675C22C22×D4×D4311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
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#1458373511yescharacteristic
1701C2—41no—
1702C2—42no—
1703C2—3441no—
1704C2—3441no—
1705C2—1721no—
1706C2—1721no—
1707C2—1722no—
1708C2#1914807811yescharacteristic
1709C2#1914937311yescharacteristic
1710C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3120C2
socleC22×C43C23×D4
hypercenter#3120D43
hypocenterC43#61510
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3120

Complements

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

NH ≅ G/Ntype
1. #19148669C2semidirect
2. #19148634C2semidirect
3. #19147669C2semidirect
4. #19147497C2semidirect
5. #19147420C2semidirect
6. #19147317C2semidirect
7. #19147203C2semidirect
8. #19147087C2semidirect
9. #19147038C2semidirect
10. #19146914C2semidirect
11. #19146793C2semidirect
12. #19146695C2semidirect
13. #19146674C2semidirect
14. #19146635C2semidirect
15. #19146554C2semidirect
16. #19146199C2semidirect
17. #19146126C2semidirect
18. #19146123C2semidirect
19. #19145265C2semidirect
20. #19145215C2semidirect
21. #19145199C2semidirect
22. #19144868C2semidirect
23. #19144863C2semidirect
24. #19144781C2semidirect
25. #19144755C2semidirect
26. #19144737C2semidirect
27. #19143578C2semidirect
28. #19143467C2semidirect
29. #19143423C2semidirect
30. C4×#13063352C2semidirect
31. C43×#3120C2semidirect
35. #14583623C22semidirect
36. #14583621C22semidirect
38. #14583609C22semidirect
39. #14583605C22semidirect
43. #14583583C22semidirect
50. D4×Dic86C22semidirect
55. #14583544C22semidirect
57. #14583540C22semidirect
59. #14583521C22semidirect
60. #14583521C22semidirect
66. #14583453C22semidirect
73. #14583381C22semidirect
74. #14583378C22semidirect
75. #14583373C22semidirect
77. C4×D4×D43C22semidirect
78. #14583309C22semidirect
79. #14583307C22semidirect
80. #14583296C22semidirect
81. #14583292C22semidirect
82. #14583291C22semidirect
84. #14583266C22semidirect
85. #14583260C22semidirect
86. #14583260C22semidirect
87. #14583260C22semidirect
88. #14583256C22semidirect
89. #14583249C22semidirect
90. #14583243C22semidirect
91. #14583241C22semidirect
92. #14583239C22semidirect
93. #14583233C22semidirect
94. #14583228C22semidirect
95. #14583228C22semidirect
97. #14583219C22semidirect
99. #14583214C22semidirect
100. #14583202C22semidirect
101. #14583201C22semidirect
102. #14583192C22semidirect
103. #14583192C22semidirect
104. #14583190C22semidirect
105. #14583188C22semidirect
106. #14583187C22semidirect
107. #14583183C22semidirect
108. #14583180C22semidirect
109. #14583178C22semidirect
110. #14583156C22semidirect
111. #14583155C22semidirect
112. #14583154C22semidirect
113. #14583154C22semidirect
118. #14583138C22semidirect
119. #14583131C22semidirect
120. #14583131C22semidirect
122. #14583124C22semidirect
123. #14583123C22semidirect
130. #14583107C22semidirect
131. #14583103C22semidirect
134. #14583060C22semidirect
135. #14583058C22semidirect
136. #14583052C22semidirect
137. #14583048C22semidirect
142. #14583028C22semidirect
143. #14583026C22semidirect
149. #14583004C22semidirect
150. #14583002C22semidirect
151. #14583001C22semidirect
152. #14583000C22semidirect
153. #14583000C22semidirect
154. #14582998C22semidirect
155. #14582997C22semidirect
156. #14582997C22semidirect
157. #14582997C22semidirect
158. C4×#10621885C22semidirect
159. #14582991C22semidirect
160. C4×#10621873C22semidirect
161. C4×#10621884C22semidirect
162. C4×#10621884C22semidirect
163. C4×#10621884C22semidirect
168. #14582976C22semidirect
170. #14582973C22semidirect
171. #14582969C22semidirect
173. #14582967C22semidirect
174. #14582958C22semidirect
175. #14582954C22semidirect
176. #14582939C22semidirect
177. #14582938C22semidirect
178. #107×D43C22semidirect
179. #14582902C22semidirect
181. #14582899C22semidirect
182. #14582897C22semidirect
184. C2×#13063245C22semidirect
185. #14582856C22semidirect
186. #14582855C22semidirect
187. C4×#10621872C22semidirect
188. C43×#541C22semidirect
190. C43×#484C22semidirect
191. C43×#483C22semidirect
192. C43×#479C22semidirect
193. C43×#478C22semidirect
194. C43×#462C22semidirect
195. C43×#461C22semidirect
198. C43×#441C22semidirect
199. C43×#440C22semidirect
200. C4×Q16×C43C22semidirect
201. C4×SD16×C43C22semidirect
202. C43×#433C22semidirect
599. #10621882#41semidirect
869. #3120D43semidirect
917. #541C2×D43semidirect
951. #484C2×D43semidirect
954. #483C2×D43semidirect
959. #479C2×D43semidirect
962. #478C2×D43semidirect
992. #462C2×D43semidirect
994. #461C2×D43semidirect
1015. #441C2×D43semidirect
1024. #440C2×D43semidirect
1027. C4×Q16C2×D43semidirect
1032. C4×SD16C2×D43semidirect
1044. #433C2×D43semidirect
1058. C43#61510semidirect

Maximal subgroups

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

subgroupindex
#191486692
#191486342
#191476692
#191474972
#191474202
#191473172
#191472032
#191470872
#191470382
#191469142
#191467932
#191466952
#191466742
#191466352
#191465542
#191461992
#191461262
#191461232
#191452652
#191452152
#191451992
#191448682
#191448632
#191447812
#191447552
#191447372
#191435782
#191434672
#191434232
C4×#130633522
C43×#31202
#6151043