Finite Group Databasebeta

← #25988918

Subgroups — #25988918

Order 11008.

1834 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148406C211yesmaximal, characteristic, complemented
2#19148146C211yesmaximal, characteristic
3#19147629C211yesmaximal, characteristic, complemented
4#19147623C211yesmaximal, characteristic, complemented
5#19147377C211yesmaximal, characteristic, complemented
6#19147371C211yesmaximal, characteristic, complemented
7#19146884C211yesmaximal, characteristic, complemented
8#19146882C211yesmaximal, characteristic, complemented
9#19146652C211yesmaximal, characteristic, complemented
10#19146650C211yesmaximal, characteristic, complemented
11#19146648C211yesmaximal, characteristic, complemented
12#19146646C211yesmaximal, characteristic, complemented
13#19146239C211yesmaximal, characteristic, complemented
14#19146235C211yesmaximal, characteristic, complemented
15#19146109C211yesmaximal, characteristic, complemented
16#19146105C211yesmaximal, characteristic, complemented
17#19146101C211yesmaximal, characteristic, complemented
18#19145965C211yesmaximal, characteristic, complemented
19#19145961C211yesmaximal, characteristic, complemented
20#19145936C211yesmaximal, characteristic, complemented
21#19145620C211yesmaximal, characteristic, complemented
22#19145618C211yesmaximal, characteristic, complemented
23#19145541C211yesmaximal, characteristic, complemented
24#19144753C211yesmaximal, characteristic, complemented
25#19144750C211yesmaximal, characteristic, complemented
26#19144598C211yesmaximal, characteristic, complemented
27#19144080C211yesmaximal, characteristic, complemented
28#19144077C211yesmaximal, characteristic, complemented
29C2×#14583102C211yesmaximal, characteristic, complemented
30#19143707C211yesmaximal, characteristic, complemented
31C43×#3266C211yesmaximal, characteristic, complemented
32C2×#13063355C2211yescharacteristic
33C2×#13063354C2211yescharacteristic
34C2×#13063354C2211yescharacteristic
35C22×#10621883C2211yescharacteristic
36#14583629—21no—
37#14583627C2211yescharacteristic, complemented
38#14583624C2211yescharacteristic, complemented
39#14583618C2211yescharacteristic
40#14583613C2211yescharacteristic
41#14583608—21no—
42#14583608C2211yescharacteristic
43#14583603—21no—
44#14583603—21no—
45#14583592—21no—
46#14583591C2211yescharacteristic
47#14583589C2211yescharacteristic
48#14583586—21no—
49#14583580—21no—
50#14583575—21no—
51D4×Dic86C2211yescharacteristic
52Q8×C22⋊D43C2211yescharacteristic
53Q8×C22⋊D43C2211yescharacteristic, complemented
54#14583562C2211yescharacteristic
55#14583562C2211yescharacteristic, complemented
56#14583548C2211yescharacteristic
57#14583543C2211yescharacteristic
58#14583528—21no—
59#14583528—21no—
60#14583526—21no—
61#14583453C2211yescharacteristic, complemented
62#14583451C2211yescharacteristic
63#14583451C2211yescharacteristic
64#14583451C2211yescharacteristic, complemented
65C2×#13063323C2211yescharacteristic
66C2×#13063323C2211yescharacteristic, complemented
67C4⋊Q8×D43C2211yescharacteristic, complemented
68#14583430—21no—
69#14583430C2211yescharacteristic
70#14583428C2211yescharacteristic
71#14583426—21no—
72#14583405—21no—
73#14583378—21no—
74#41×Dic43C2211yescharacteristic
75C4×#10621900C2211yescharacteristic
76C4×#10621900C2211yescharacteristic
77C2×D4×Dic43C2211yescharacteristic
78C2×#13063281—21no—
79#14583294C2211yescharacteristic
80#14583290C2211yescharacteristic
81#14583290C2211yescharacteristic
82#14583277C2211yescharacteristic, complemented
83#14583277C2211yescharacteristic, complemented
84#14583268C2211yescharacteristic, complemented
85#14583267C2211yescharacteristic, complemented
86#14583266C2211yescharacteristic, complemented
87#14583266C2211yescharacteristic, complemented
88#14583248C2211yescharacteristic, complemented
89#14583248C2211yescharacteristic, complemented
90#14583242C2211yescharacteristic, complemented
91#14583241C2211yescharacteristic, complemented
92#14583238C2211yescharacteristic, complemented
93#14583237C2211yescharacteristic, complemented
94#14583230C2211yescharacteristic
95#14583227C2211yescharacteristic
96#14583207C2211yescharacteristic, complemented
97#14583206C2211yescharacteristic, complemented
98#14583205C2211yescharacteristic, complemented
99#14583204C2211yescharacteristic, complemented
100#14583193C2211yescharacteristic, complemented
101#14583193C2211yescharacteristic, complemented
102#14583192C2211yescharacteristic, complemented
103#14583192C2211yescharacteristic, complemented
104#14583187C2211yescharacteristic
105#14583187C2211yescharacteristic
106#14583157C2211yescharacteristic, complemented
107#14583156C2211yescharacteristic, complemented
108#14583155C2211yescharacteristic, complemented
109#14583154C2211yescharacteristic, complemented
110#14583144C2211yescharacteristic
111#14583143C2211yescharacteristic
112#14583142C2211yescharacteristic
113#14583140C2211yescharacteristic
114#14583138C2211yescharacteristic
115#14583138C2211yescharacteristic
116#14583120C2211yescharacteristic
117#14583119C2211yescharacteristic
118#14583118C2211yescharacteristic
119#14583110C2211yescharacteristic, complemented
120#14583108C2211yescharacteristic, complemented
121#14583108C2211yescharacteristic, complemented
122#14583108C2211yescharacteristic, complemented
123#14583108C2211yescharacteristic, complemented
124#14583107C2211yescharacteristic, complemented
125#14583107C2211yescharacteristic, complemented
126#14583107C2211yescharacteristic, complemented
127#14583107C2211yescharacteristic, complemented
128#14583107C2211yescharacteristic, complemented
129#14583107C2211yescharacteristic, complemented
130#14583106C2211yescharacteristic, complemented
131#14583104C2211yescharacteristic
132#14583102C2211yescharacteristic
133#14583102C2211yescharacteristic
134#14583102C2211yescharacteristic
135#14583102C2211yescharacteristic
136#14583102C2211yescharacteristic
137#14583102C2211yescharacteristic
138#14583102C2211yescharacteristic
139#14583102C2211yescharacteristic
140#14583102C2211yescharacteristic
141#14583102C2211yescharacteristic
142#14583102C2211yescharacteristic
143#14583102C2211yescharacteristic
144#14583062C2211yescharacteristic
145#14583061C2211yescharacteristic
146#14583058C2211yescharacteristic
147#14583057C2211yescharacteristic
148#14583057C2211yescharacteristic, complemented
149#14583055C2211yescharacteristic
150#14583055C2211yescharacteristic, complemented
151#14583054C2211yescharacteristic
152#14583053C2211yescharacteristic, complemented
153#14583053C2211yescharacteristic, complemented
154#14583050C2211yescharacteristic
155#14583037C2211yescharacteristic
156#14583036C2211yescharacteristic
157#14583036C2211yescharacteristic
158#14583028C2211yescharacteristic, complemented
159#14583027C2211yescharacteristic, complemented
160#14583007C2211yescharacteristic, complemented
161#14583006C2211yescharacteristic, complemented
162#14583004C2211yescharacteristic, complemented
163#14583003C2211yescharacteristic, complemented
164#14583000C2211yescharacteristic
165#14582999C2211yescharacteristic
166#14582996C2211yescharacteristic
167#14582990C2211yescharacteristic
168#14582990C2211yescharacteristic
169SD16×Dic43C2211yescharacteristic
170SD16×Dic43C2211yescharacteristic
171#14582975C2211yescharacteristic, complemented
172#14582974C2211yescharacteristic, complemented
173#14582971C2211yescharacteristic
174#14582970C2211yescharacteristic
175#14582967C2211yescharacteristic
176#14582954C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582949C2211yescharacteristic
179#14582922C2211yescharacteristic, complemented
180#14582921C2211yescharacteristic, complemented
181C2×Dic43⋊C8C2211yescharacteristic
182#14582909C2211yescharacteristic, complemented
183#14582908C2211yescharacteristic, complemented
184#14582906C2211yescharacteristic, complemented
185#14582906C2211yescharacteristic, complemented
186C2×#13063250C2211yescharacteristic
187C2×#13063249C2211yescharacteristic
188C2×#137×C43C2211yescharacteristic
189C22×SD16×C43C2211yescharacteristic
190D4×Q8×C43C2211yescharacteristic
191C43×#546C2211yescharacteristic
192C43×#497C2211yescharacteristic
193C43×#468C2211yescharacteristic
194C43×#467C2211yescharacteristic
195C43×#464C2211yescharacteristic
196C43×#461C2211yescharacteristic
197C43×#452C2211yescharacteristic
198C43×#451C2211yescharacteristic
199C43×#450C2211yescharacteristic
200C43×#448C2211yescharacteristic
201C43×#440C2211yescharacteristic
202C43×#435C2211yescharacteristic
203C2×#10621900D411yescharacteristic
204C2×#10621900C2311yescharacteristic
205C22×Dic86C2311yescharacteristic
206C22×Dic86C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208C2×Q8×D43C2311yescharacteristic
209C23×Dic43—21no—
210#13063355—42no—
211#13063354—42no—
212#13063354—42no—
213C2×Dic172C2311yescharacteristic
214C2×Dic172C2311yescharacteristic
215C2×Dic172C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621885C2311yescharacteristic
218C2×#10621885C2311yescharacteristic
219C2×#10621885C2311yescharacteristic
220C2×#10621885C2311yescharacteristic
221C2×#10621885C2311yescharacteristic
222C2×#10621883—42no—
223C2×#10621883C2311yescharacteristic
224C2×#10621883C2311yescharacteristic
225C2×#10621883C2311yescharacteristic
226C2×#10621883C2311yescharacteristic
227C2×#10621883C2311yescharacteristic
228C2×#10621883C2311yescharacteristic
229C2×#10621877C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C22×C43⋊C8C2311yescharacteristic
233#13063325C2311yescharacteristic
234#13063324—21no—
235#13063324—21no—
236#13063324—21no—
237#13063324—21no—
238#13063324—21no—
239#13063324C2311yescharacteristic
240#13063324C2311yescharacteristic
241#13063323—21no—
242#13063323—21no—
243#13063323—21no—
244#13063323—21no—
245#13063323—21no—
246#13063323—21no—
247#13063323C2311yescharacteristic
248#13063323C2311yescharacteristic
249#13063323C2311yescharacteristic
250#13063323C2311yescharacteristic
251#13063323C2311yescharacteristic
252#13063323C2311yescharacteristic
253#13063323C2311yescharacteristic
254#13063323C2311yescharacteristic
255#13063320—21no—
256#13063318—21no—
257#13063318—21no—
258#13063318—21no—
259#13063318—21no—
260#13063318—21no—
261#13063317—21no—
262#13063317C2311yescharacteristic
263#13063316—21no—
264#13063316—21no—
265#13063316C2311yescharacteristic
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063315—21no—
270#13063315—21no—
271#13063315—21no—
272#13063315—21no—
273#13063315—21no—
274#13063315—21no—
275#13063312—21no—
276#13063312C2311yescharacteristic
277#13063311—21no—
278#13063309—21no—
279#13063308—21no—
280#13063307—21no—
281#13063306—21no—
282#13063306—21no—
283#13063306—21no—
284#13063306—21no—
285#13063305C2311yescharacteristic
286#13063304—21no—
287#13063304—21no—
288#13063304—21no—
289#13063304C2311yescharacteristic
290#13063304C2311yescharacteristic
291#13063304C2311yescharacteristic
292#13063304C2311yescharacteristic
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302—21no—
303#13063302—21no—
304#13063302—21no—
305#13063302—21no—
306#13063301—21no—
307#13063301—21no—
308#13063301C2311yescharacteristic
309#13063301C2311yescharacteristic
310#13063297—21no—
311#13063297—21no—
312#13063297—21no—
313#13063296C2311yescharacteristic
314#13063294—21no—
315Q8×Dic43C2311yescharacteristic
316Q8×Dic43C2311yescharacteristic
317Q8×Dic43C2311yescharacteristic
318Q8×Dic43C2311yescharacteristic
319C4×Dic86—21no—
320C4×Dic86—21no—
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324#13063290—21no—
325#13063290—21no—
326#13063290—21no—
327#13063290—21no—
328#13063290D411yescharacteristic
329#13063290C2311yescharacteristic
330#13063290C2311yescharacteristic
331#13063290C2311yescharacteristic
332D4×Dic43—21no—
333D4×Dic43—21no—
334D4×Dic43—21no—
335D4×Dic43—21no—
336D4×Dic43—21no—
337D4×Dic43—21no—
338D4×Dic43D411yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343D4×Dic43C2311yescharacteristic
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43C2311yescharacteristic
348C4×C22⋊D43C2311yescharacteristic
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4D411yescharacteristic
354(C22⋊D43)⋊C4D411yescharacteristic
355#13063284—21no—
356#13063284C2311yescharacteristic
357#13063283D411yescharacteristic
358#13063283C2311yescharacteristic
359#13063282—21no—
360#13063281—21no—
361#13063281—21no—
362#13063281—21no—
363#13063281—21no—
364#13063281—21no—
365#13063281—21no—
366#13063281—21no—
367#13063281—21no—
368#13063281—21no—
369#13063281—21no—
370#13063281D411yescharacteristic
371#13063281D411yescharacteristic
372C2×C4⋊Dic43C2311yescharacteristic
373C2×Dic43⋊C4—21no—
374C2×Dic43⋊C4—21no—
375C2×Dic43⋊C4—21no—
376C2×Dic43⋊C4—21no—
377C2×Dic43⋊C4—21no—
378C2×Dic43⋊C4—21no—
379C4⋊C4×D43—21no—
380C4⋊C4×D43—21no—
381C2×C22⋊Dic43—21no—
382C2×C22⋊Dic43—21no—
383C2×C4×Dic43—21no—
384C2×C4×Dic43—21no—
385C2×C4×Dic43C2311yescharacteristic
386C2×C4×Dic43C2311yescharacteristic
387C42×D43C2311yescharacteristic
388#13063259C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395C4⋊(C43⋊C8)C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063249C2311yescharacteristic
420#13063249C2311yescharacteristic
421#13063249C2311yescharacteristic
422#13063249C2311yescharacteristic
423#13063249C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063248C2311yescharacteristic
426#13063248C2311yescharacteristic
427#13063248C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430C22⋊(C43⋊C8)C2311yescharacteristic
431C22⋊(C43⋊C8)C2311yescharacteristic
432(C2×D43)⋊C8C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434#13063236C2311yescharacteristic
435#13063235C2311yescharacteristic
436#13063235C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C8×Dic43C2311yescharacteristic
439C2×#41×C43C2311yescharacteristic
440C22×Q8×C43C2311yescharacteristic
441C22×Q8×C43C2311yescharacteristic
442C22×D4×C43C2311yescharacteristic
443#137×C43—42no—
444C2×Q16×C43C2311yescharacteristic
445C2×Q16×C43C2311yescharacteristic
446C2×Q16×C43C2311yescharacteristic
447C2×SD16×C43—42no—
448C2×SD16×C43C2311yescharacteristic
449C2×SD16×C43C2311yescharacteristic
450C2×SD16×C43C2311yescharacteristic
451C2×SD16×C43C2311yescharacteristic
452C2×SD16×C43C2311yescharacteristic
453C2×SD16×C43C2311yescharacteristic
454C2×M16×C43C2311yescharacteristic
455C22×C8×C43C2311yescharacteristic
456C4⋊Q8×C43—21no—
457C4⋊Q8×C43C2311yescharacteristic
458#124×C43C2311yescharacteristic
459#123×C43—21no—
460C22⋊Q8×C43—21no—
461C22⋊Q8×C43—21no—
462C22⋊Q8×C43C2311yescharacteristic
463C22⋊Q8×C43C2311yescharacteristic
464C22⋊Q8×C43C2311yescharacteristic
465#121×C43—21no—
466#121×C43C2311yescharacteristic
467#120×C43—21no—
468C4×Q8×C43C2311yescharacteristic
469C4×D4×C43—21no—
470C4×D4×C43C2311yescharacteristic
471C4×D4×C43C2311yescharacteristic
472C2×C22⋊C4×C43—21no—
473#107×C43C2311yescharacteristic
474C4⋊C8×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481C22⋊C8×C43C2311yescharacteristic
482C22⋊C8×C43C2311yescharacteristic
483#97×C43C2311yescharacteristic
484C24×C43—21no—
485#41×C43—22no—
486#41×C43—41no—
487C2×Q8×C43—21no—
488C2×Q8×C43—21no—
489C2×Q8×C43—41no—
490C2×Q8×C43—41no—
491C2×Q8×C43—41no—
492C2×Q8×C43—41no—
493C2×Q8×C43C2411yescharacteristic
494C2×Q8×C43C2411yescharacteristic
495C2×Q8×C43C2411yescharacteristic
496C2×Q8×C43C2411yescharacteristic
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—21no—
500C2×D4×C43—22no—
501C2×D4×C43—41no—
502C2×D4×C43C2×D411yescharacteristic
503C2×D4×C43C2411yescharacteristic
504C2×D4×C43C2411yescharacteristic
505C22×C4×C43—21no—
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43C2411yescharacteristic
510C22×C4×C43C2411yescharacteristic
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43C2×D411yescharacteristic
514C2×C22⋊D43C2×D411yescharacteristic
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43—44no—
525C22×Dic43C2×D411yescharacteristic
526C22×Dic43C2×D411yescharacteristic
527C22×Dic43C2×D411yescharacteristic
528C22×Dic43C2×D411yescharacteristic
529Q8×D43—41no—
530Q8×D43—41no—
531Q8×D43—41no—
532Q8×D43—41no—
533#10621900—24no—
534#10621900—22no—
535#10621900—41no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43C2×D411yescharacteristic
539C2×C4×D43C2×D411yescharacteristic
540C2×C4×D43C2411yescharacteristic
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86—21no—
547C2×Dic86—41no—
548C2×Dic86—41no—
549C2×Dic86—41no—
550C2×Dic86—41no—
551C2×Dic86C2×D411yescharacteristic
552C2×Dic86C2411yescharacteristic
553C2×Dic86C2411yescharacteristic
554C2×Dic86C2411yescharacteristic
555C2×Dic86C2411yescharacteristic
556Q16×C43—41no—
557Q16×C43—41no—
558Q16×C43—41no—
559SD16×C43—22no—
560SD16×C43—22no—
561SD16×C43—22no—
562SD16×C43—41no—
563SD16×C43—41no—
564SD16×C43—41no—
565M16×C43—41no—
566C2×C8×C43—41no—
567C2×C8×C43C2411yescharacteristic
568C2×C8×C43C2411yescharacteristic
569C2×C8×C43C2411yescharacteristic
570C2×C8×C43C2411yescharacteristic
571C4⋊C4×C43—21no—
572C4⋊C4×C43—21no—
573C4⋊C4×C43—21no—
574C4⋊C4×C43—21no—
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43C2×D411yescharacteristic
578C4⋊C4×C43C2411yescharacteristic
579C4⋊C4×C43C2411yescharacteristic
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43C2×D411yescharacteristic
588C22⋊C4×C43C2×D411yescharacteristic
589C42×C43—21no—
590C42×C43C2411yescharacteristic
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43C2×D411yescharacteristic
605C22⋊Dic43C2×D411yescharacteristic
606#10621885—41no—
607#10621885—41no—
608#10621885—41no—
609#10621885—41no—
610#10621885—41no—
611#10621885—41no—
612#10621883—22no—
613#10621883—22no—
614#10621883—22no—
615#10621883—41no—
616#10621883—41no—
617#10621883—41no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43C2×D411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4—21no—
668Dic43⋊C4—21no—
669Dic43⋊C4—21no—
670Dic43⋊C4C2×D411yescharacteristic
671Dic43⋊C4C2×D411yescharacteristic
672Dic43⋊C4C2×D411yescharacteristic
673Dic43⋊C4C2×D411yescharacteristic
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43—21no—
678C4×Dic43—21no—
679C4×Dic43—21no—
680C4×Dic43—21no—
681C4×Dic43—21no—
682C4×Dic43—21no—
683C4×Dic43—21no—
684C4×Dic43—21no—
685C4×Dic43C2×D411yescharacteristic
686C4×Dic43C2×D411yescharacteristic
687C4×Dic43C2×D411yescharacteristic
688C4×Dic43C2×D411yescharacteristic
689C4×Dic43C2×D411yescharacteristic
690C4×Dic43C2×D411yescharacteristic
691C4×Dic43C2411yescharacteristic
692C4×Dic43C2411yescharacteristic
693C4×Dic43C2411yescharacteristic
694#10621877—41no—
695C2×C43⋊C8—41no—
696C2×C43⋊C8C2411yescharacteristic
697C2×C43⋊C8C2411yescharacteristic
698C2×C43⋊C8C2411yescharacteristic
699C2×C43⋊C8C2411yescharacteristic
700Dic172—41no—
701Dic172—41no—
702Dic172—41no—
703#10621872—41no—
704#10621872—41no—
705C23×C43—21no—
706C23×C43—21no—
707C23×C43—42no—
708C23×C43—42no—
709C23×C43—81no—
710C23×C43C22×D411yescharacteristic
711C23×C43C22×D411yescharacteristic
712C22×D43C22×D411yescharacteristic
713Q8×C43—21no—
714Q8×C43—21no—
715Q8×C43—21no—
716Q8×C43—21no—
717Q8×C43—21no—
718Q8×C43—21no—
719Q8×C43—21no—
720Q8×C43—21no—
721Q8×C43—81no—
722Q8×C43—81no—
723D4×C43—22no—
724D4×C43—21no—
725D4×C43—21no—
726D4×C43—21no—
727D4×C43—42no—
728D4×C43—42no—
729D4×C43—81no—
730D4×C43H(5,𝔽2)12yes—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—42no—
742C2×C4×C43—81no—
743C2×C4×C43—81no—
744C2×C4×C43—81no—
745C2×C4×C43C22×D411yescharacteristic
746C2×C4×C43C22×D411yescharacteristic
747C2×C4×C43C22×D411yescharacteristic
748C2×C4×C43C22×D411yescharacteristic
749C2×C4×C43C2511yescharacteristic
750C22⋊D43—22no—
751C22⋊D43—22no—
752C22⋊D43—42no—
753C22⋊D43—81no—
754C2×Dic43—22no—
755C2×Dic43—21no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—41no—
764C2×Dic43—41no—
765C2×Dic43—42no—
766C2×Dic43—42no—
767C2×Dic43—42no—
768C2×Dic43—42no—
769C2×Dic43—42no—
770C2×Dic43—42no—
771C2×Dic43—81no—
772C2×Dic43—81no—
773C2×Dic43—81no—
774C2×Dic43#13714yescomplemented
775C2×Dic43C22×D411yescharacteristic
776C2×Dic43C22×D411yescharacteristic
777C2×Dic43C22×D411yescharacteristic
778C2×Dic43C22×D411yescharacteristic
779C2×Dic43C22×D411yescharacteristic
780C2×Dic43C22×D411yescharacteristic
781C2×Dic43C22×D411yescharacteristic
782C4×D43—21no—
783C4×D43—21no—
784C4×D43—22no—
785C4×D43—41no—
786C4×D43—81no—
787C4×D43—81no—
788Dic86—22no—
789Dic86—21no—
790Dic86—21no—
791Dic86—21no—
792Dic86—21no—
793Dic86—21no—
794Dic86—21no—
795Dic86—21no—
796Dic86—21no—
797Dic86—42no—
798Dic86—81no—
799Dic86—81no—
800Dic86—81no—
801Dic86—81no—
802Dic86—81no—
803C8×C43—21no—
804C8×C43—21no—
805C8×C43—21no—
806C8×C43—21no—
807C43⋊C8—21no—
808C43⋊C8—21no—
809C43⋊C8—21no—
810C43⋊C8—21no—
811#61960—431nomaximal, Sylow
812C22×C43—21no—
813C22×C43—21no—
814C22×C43—21no—
815C22×C43—22no—
816C22×C43—21no—
817C22×C43—21no—
818C22×C43—41no—
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—84no—
824C22×C43C2×#13712yes—
825C22×C43C23×D411yescharacteristic
826C2×D43—21no—
827C2×D43—21no—
828C2×D43—21no—
829C4×C43—21no—
830C4×C43—21no—
831C4×C43—21no—
832C4×C43—21no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43—41no—
838C4×C43—41no—
839C4×C43C2×H(5,𝔽2)11yescharacteristic
840C4×C43#58511yescharacteristic
841Dic43—21no—
842Dic43—21no—
843Dic43—21no—
844Dic43—21no—
845Dic43—21no—
846Dic43—41no—
847Dic43—41no—
848Dic43—41no—
849Dic43—41no—
850Dic43—41no—
851Dic43—41no—
852Dic43—41no—
853Dic43—41no—
854Dic43C2×#13712yes—
855Dic43C2×#13712yes—
856#3503—431no—
857#3475—431no—
858#3398—431no—
859#3398—431no—
860#3372—431no—
861#3372—431no—
862#3329—431no—
863#3329—431no—
864#3312—431no—
865#3312—431no—
866#3312—431no—
867#3312—431no—
868#3276—431no—
869#3276—431no—
870#3266—431no—
871#3266—431no—
872#3266—431no—
873#3266D4311yescharacteristic, complemented
874#3252—431no—
875#3252—431no—
876#3249—431no—
877#3218—431no—
878#3218—431no—
879#3209—431no—
880#3116—431no—
881#3116—431no—
882#3101—431no—
883#3039—431no—
884#3039—431no—
885C2×#461—431no—
886#2989—431no—
887C2×C43—22no—
888C2×C43—41no—
889C2×C43—42no—
890C2×C43—81no—
891C2×C43#348811yescharacteristic
892C2×C43C22×#13711yescharacteristic
893C2×C43#358611yescharacteristic
894D43—41no—
895C2×#137—431no—
896C2×#137—431no—
897C2×#137—431no—
898C2×#137C2×D4311yescharacteristic
899C22×SD16—431no—
900C22×SD16C2×D4311yescharacteristic
901Q82—861no—
902#557—431no—
903#557—431no—
904#556—431no—
905#555—431no—
906#554—431no—
907#554—861no—
908#554—861no—
909#554—861no—
910#553—861no—
911#552—431no—
912#552—431no—
913#552—861no—
914#551—861no—
915#551—861no—
916D4×Q8—431no—
917D4×Q8—431no—
918D4×Q8—431no—
919D4×Q8—431no—
920D4×Q8—431no—
921D4×Q8C2×D4311yescharacteristic
922#547—431no—
923#546—431no—
924#546C2×D4311yescharacteristic
925#544—861no—
926#544—861no—
927#544—861no—
928#533—431no—
929#533—431no—
930#533—431no—
931#533—431no—
932C2×C4⋊Q8—431no—
933C2×C4⋊Q8—431no—
934C2×C4⋊Q8—431no—
935#529—431no—
936#529—431no—
937#529—861no—
938#529—861no—
939#525—861no—
940#520—861no—
941C4×#41—431no—
942C4×#41—431no—
943C4×#41—431no—
944C2×C4×D4—431no—
945C2×#117—861no—
946#497—431no—
947#497—431no—
948#497—431no—
949#497C2×D4311yescharacteristic
950#494—431no—
951#494—431no—
952#491—431no—
953#491—431no—
954#491—431no—
955#491—431no—
956#487—431no—
957#487—431no—
958#485—431no—
959#485—431no—
960#485—431no—
961#485—431no—
962#483—431no—
963#483—431no—
964#479—431no—
965#479—431no—
966#479—431no—
967#479—431no—
968#477—431no—
969#477—431no—
970#477—431no—
971#477—431no—
972#476—431no—
973#476—431no—
974#470—431no—
975#470—431no—
976#470—431no—
977#470—431no—
978#468—431no—
979#468—431no—
980#468—431no—
981#468C2×D4311yescharacteristic
982#467—431no—
983#467—431no—
984#467—431no—
985#467C2×D4311yescharacteristic
986#464—431no—
987#464—431no—
988#464—431no—
989#464C2×D4311yescharacteristic
990#462—431no—
991#462—431no—
992#462—431no—
993#462—431no—
994#462—431no—
995#462—431no—
996#462—431no—
997#462—431no—
998#462—431no—
999#462—431no—
1000#462—431no—
1001#462—431no—
1002#461—431no—
1003#461—431no—
1004#461—431no—
1005#461—431no—
1006#461—431no—
1007#461—431no—
1008#461—431no—
1009#461—431no—
1010#461—431no—
1011#461—431no—
1012#461—431no—
1013#461—431no—
1014#461—431no—
1015#461C2×D4311yescharacteristic
1016#452—431no—
1017#452—431no—
1018#452—431no—
1019#452C2×D4311yescharacteristic
1020#451—431no—
1021#451—431no—
1022#451—431no—
1023#451—431no—
1024#451—431no—
1025#451—431no—
1026#451—431no—
1027#451C2×D4311yescharacteristic
1028#450—431no—
1029#450C2×D4311yescharacteristic
1030#448—431no—
1031#448—431no—
1032#448—431no—
1033#448C2×D4311yescharacteristic
1034#446—431no—
1035#446—431no—
1036#441—431no—
1037#441—431no—
1038#441—431no—
1039#441—431no—
1040#440—431no—
1041#440—431no—
1042#440—431no—
1043#440C2×D4311yescharacteristic
1044C4×SD16—431no—
1045C4×SD16—431no—
1046C4×SD16—431no—
1047C4×SD16—431no—
1048#436—431no—
1049#436—431no—
1050#435—431no—
1051#435—431no—
1052#435—431no—
1053#435C2×D4311yescharacteristic
1054#432—431no—
1055#432—431no—
1056#431—431no—
1057#423—431no—
1058#423—431no—
1059C2×C4⋊C8—431no—
1060#419—431no—
1061#419—431no—
1062#419—431no—
1063#419—431no—
1064C2×#103—431no—
1065C2×#103—431no—
1066C43#6196011yescharacteristic, complemented, Sylow
1067C2×#41—431no—
1068C2×#41—431no—
1069C2×#41C22×D4311yescharacteristic
1070C22×Q8—431no—
1071C22×Q8—431no—
1072C22×Q8—431no—
1073C22×Q8—431no—
1074C22×Q8C22×D4311yescharacteristic
1075C22×Q8C22×D4311yescharacteristic
1076C22×D4C22×D4311yescharacteristic
1077C23×C4—861no—
1078#137—42no—
1079#137—1722no—
1080#137—1722no—
1081#137—1722no—
1082C2×Q16—431no—
1083C2×Q16—431no—
1084C2×Q16—431no—
1085C2×Q16—431no—
1086C2×Q16—431no—
1087C2×Q16—431no—
1088C2×Q16—431no—
1089C2×Q16—431no—
1090C2×Q16—431no—
1091C2×Q16C22×D4311yescharacteristic
1092C2×Q16C22×D4311yescharacteristic
1093C2×Q16C22×D4311yescharacteristic
1094C2×SD16—42no—
1095C2×SD16—431no—
1096C2×SD16—431no—
1097C2×SD16—431no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—1722no—
1102C2×SD16C22×D4311yescharacteristic
1103C2×SD16C22×D4311yescharacteristic
1104C2×SD16C22×D4311yescharacteristic
1105C2×SD16C22×D4311yescharacteristic
1106C2×SD16C22×D4311yescharacteristic
1107C2×SD16C22×D4311yescharacteristic
1108C2×M16—431no—
1109C2×M16—431no—
1110C2×M16—431no—
1111C2×M16C22×D4311yescharacteristic
1112C22×C8—431no—
1113C22×C8C22×D4311yescharacteristic
1114C4⋊Q8—21no—
1115C4⋊Q8—431no—
1116C4⋊Q8—431no—
1117C4⋊Q8—431no—
1118C4⋊Q8—431no—
1119C4⋊Q8—431no—
1120C4⋊Q8—431no—
1121C4⋊Q8—431no—
1122C4⋊Q8—431no—
1123C4⋊Q8—431no—
1124C4⋊Q8—431no—
1125C4⋊Q8—431no—
1126C4⋊Q8—861no—
1127C4⋊Q8—861no—
1128C4⋊Q8—861no—
1129C4⋊Q8—861no—
1130C4⋊Q8—861no—
1131C4⋊Q8—861no—
1132C4⋊Q8—861no—
1133C4⋊Q8—861no—
1134C4⋊Q8—861no—
1135C4⋊Q8—861no—
1136C4⋊Q8—861no—
1137C4⋊Q8C22×D4311yescharacteristic
1138#126—861no—
1139#126—861no—
1140#126—861no—
1141#126—861no—
1142#126—861no—
1143#126—861no—
1144#125—431no—
1145#125—431no—
1146#125—861no—
1147#125—861no—
1148#125—861no—
1149#125—861no—
1150#125—861no—
1151#125—861no—
1152#125—861no—
1153#125—861no—
1154#125—861no—
1155#125—861no—
1156#125—861no—
1157#125—861no—
1158#124—431no—
1159#124—861no—
1160#124—861no—
1161#124C22×D4311yescharacteristic
1162#123—21no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170C22⋊Q8—21no—
1171C22⋊Q8—21no—
1172C22⋊Q8—431no—
1173C22⋊Q8—431no—
1174C22⋊Q8—431no—
1175C22⋊Q8—431no—
1176C22⋊Q8—431no—
1177C22⋊Q8—431no—
1178C22⋊Q8—431no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8—861no—
1190C22⋊Q8—861no—
1191C22⋊Q8—861no—
1192C22⋊Q8—861no—
1193C22⋊Q8—861no—
1194C22⋊Q8—861no—
1195C22⋊Q8—861no—
1196C22⋊Q8—861no—
1197C22⋊Q8C22×D4311yescharacteristic
1198C22⋊Q8C22×D4311yescharacteristic
1199C22⋊Q8C22×D4311yescharacteristic
1200#121—21no—
1201#121—431no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121C22×D4311yescharacteristic
1206#120—21no—
1207#120—861no—
1208C4×Q8—431no—
1209C4×Q8—431no—
1210C4×Q8—431no—
1211C4×Q8—431no—
1212C4×Q8—431no—
1213C4×Q8—431no—
1214C4×Q8—431no—
1215C4×Q8—431no—
1216C4×Q8—431no—
1217C4×Q8—431no—
1218C4×Q8—431no—
1219C4×Q8—861no—
1220C4×Q8—861no—
1221C4×Q8—861no—
1222C4×Q8—861no—
1223C4×Q8—861no—
1224C4×Q8—861no—
1225C4×Q8C22×D4311yescharacteristic
1226C4×D4—21no—
1227C4×D4—431no—
1228C4×D4—431no—
1229C4×D4—431no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—861no—
1238C4×D4—861no—
1239C4×D4—861no—
1240C4×D4—861no—
1241C4×D4—861no—
1242C4×D4—861no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4C22×D4311yescharacteristic
1251C4×D4C22×D4311yescharacteristic
1252#117—431no—
1253#117—431no—
1254#117—431no—
1255#117—431no—
1256#117—431no—
1257#117—861no—
1258#117—861no—
1259#117—861no—
1260#117—861no—
1261#117—861no—
1262#117—861no—
1263#117—861no—
1264#117—861no—
1265#117—861no—
1266#117—861no—
1267#117—861no—
1268#117—861no—
1269C2×C4⋊C4—431no—
1270C2×C4⋊C4—861no—
1271C2×C4⋊C4—861no—
1272C2×C4⋊C4—861no—
1273C2×C4⋊C4—861no—
1274C2×C4⋊C4—861no—
1275C2×C4⋊C4—861no—
1276C2×C4⋊C4—861no—
1277C2×C4⋊C4—861no—
1278C2×C22⋊C4—21no—
1279C2×C22⋊C4—861no—
1280C2×C22⋊C4—861no—
1281C2×C42—431no—
1282C2×C42—431no—
1283C2×C42—431no—
1284C2×C42—861no—
1285C2×C42—861no—
1286#107—431no—
1287#107—431no—
1288#107—431no—
1289#107C22×D4311yescharacteristic
1290#106—431no—
1291#106—431no—
1292#106—431no—
1293#106—431no—
1294C4⋊C8—431no—
1295C4⋊C8—431no—
1296C4⋊C8—431no—
1297C4⋊C8—431no—
1298C4⋊C8—431no—
1299C4⋊C8—431no—
1300C4⋊C8—431no—
1301C4⋊C8—431no—
1302C4⋊C8—431no—
1303C4⋊C8C22×D4311yescharacteristic
1304#103—431no—
1305#103—431no—
1306#103—431no—
1307#103—431no—
1308#103—431no—
1309#103—431no—
1310#103—431no—
1311#103—431no—
1312#103—431no—
1313#103—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103—431no—
1320#103—431no—
1321#103—431no—
1322#103—431no—
1323#103—431no—
1324#103—431no—
1325#103—431no—
1326#103—431no—
1327#103—431no—
1328#103C22×D4311yescharacteristic
1329#103C22×D4311yescharacteristic
1330#103C22×D4311yescharacteristic
1331#103C22×D4311yescharacteristic
1332#102—431no—
1333#102—431no—
1334#102C22×D4311yescharacteristic
1335#102C22×D4311yescharacteristic
1336C22⋊C8—431no—
1337C22⋊C8—431no—
1338C22⋊C8—431no—
1339C22⋊C8—431no—
1340C22⋊C8C22×D4311yescharacteristic
1341C22⋊C8C22×D4311yescharacteristic
1342#97—431no—
1343#97—431no—
1344#97—431no—
1345#97C22×D4311yescharacteristic
1346C4×C8—431no—
1347C4×C8—431no—
1348C24—21no—
1349#41—22no—
1350#41—41no—
1351#41—864no—
1352#41—862no—
1353#41—1721no—
1354C2×Q8—21no—
1355C2×Q8—21no—
1356C2×Q8—41no—
1357C2×Q8—41no—
1358C2×Q8—41no—
1359C2×Q8—41no—
1360C2×Q8—431no—
1361C2×Q8—431no—
1362C2×Q8—431no—
1363C2×Q8—431no—
1364C2×Q8—431no—
1365C2×Q8—861no—
1366C2×Q8—861no—
1367C2×Q8—861no—
1368C2×Q8—861no—
1369C2×Q8—861no—
1370C2×Q8—861no—
1371C2×Q8—1721no—
1372C2×Q8—1721no—
1373C2×Q8—1721no—
1374C2×Q8—1721no—
1375C2×Q8—1721no—
1376C2×Q8—1721no—
1377C2×Q8—1721no—
1378C2×Q8—1721no—
1379C2×Q8C23×D4311yescharacteristic
1380C2×Q8C23×D4311yescharacteristic
1381C2×Q8C23×D4311yescharacteristic
1382C2×Q8C23×D4311yescharacteristic
1383C2×D4—22no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—41no—
1388C2×D4—431no—
1389C2×D4—431no—
1390C2×D4—861no—
1391C2×D4—861no—
1392C2×D4D4×D4311yescharacteristic
1393C2×D4C23×D4311yescharacteristic
1394C2×D4C23×D4311yescharacteristic
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—431no—
1400C22×C4—431no—
1401C22×C4—431no—
1402C22×C4—431no—
1403C22×C4—431no—
1404C22×C4—431no—
1405C22×C4—431no—
1406C22×C4—861no—
1407C22×C4—861no—
1408C22×C4—861no—
1409C22×C4—861no—
1410C22×C4—861no—
1411C22×C4—861no—
1412C22×C4—861no—
1413C22×C4—861no—
1414C22×C4—861no—
1415C22×C4—861no—
1416C22×C4—861no—
1417C22×C4—1724no—
1418C22×C4C23×D4311yescharacteristic
1419C22×C4C23×D4311yescharacteristic
1420Q16—41no—
1421Q16—41no—
1422Q16—41no—
1423Q16—1721no—
1424Q16—1721no—
1425Q16—1721no—
1426Q16—1721no—
1427Q16—1721no—
1428Q16—1721no—
1429Q16—1721no—
1430Q16—1721no—
1431Q16—1721no—
1432SD16—22no—
1433SD16—22no—
1434SD16—22no—
1435SD16—41no—
1436SD16—41no—
1437SD16—41no—
1438SD16—862no—
1439SD16—862no—
1440SD16—862no—
1441SD16—1721no—
1442SD16—1721no—
1443SD16—1721no—
1444M16—41no—
1445M16—1721no—
1446M16—1721no—
1447M16—1721no—
1448C2×C8—41no—
1449C2×C8—431no—
1450C2×C8—431no—
1451C2×C8—431no—
1452C2×C8—431no—
1453C2×C8—1721no—
1454C2×C8C23×D4311yescharacteristic
1455C2×C8C23×D4311yescharacteristic
1456C2×C8C23×D4311yescharacteristic
1457C2×C8C23×D4311yescharacteristic
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—431no—
1465C4⋊C4—431no—
1466C4⋊C4—431no—
1467C4⋊C4—431no—
1468C4⋊C4—431no—
1469C4⋊C4—431no—
1470C4⋊C4—431no—
1471C4⋊C4—431no—
1472C4⋊C4—431no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4—861no—
1482C4⋊C4—861no—
1483C4⋊C4—861no—
1484C4⋊C4—861no—
1485C4⋊C4—861no—
1486C4⋊C4—861no—
1487C4⋊C4—861no—
1488C4⋊C4—861no—
1489C4⋊C4—861no—
1490C4⋊C4—861no—
1491C4⋊C4—861no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4—861no—
1510C4⋊C4—861no—
1511C4⋊C4—861no—
1512C4⋊C4—861no—
1513C4⋊C4—861no—
1514C4⋊C4D4×D4311yescharacteristic
1515C4⋊C4C23×D4311yescharacteristic
1516C4⋊C4C23×D4311yescharacteristic
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—431no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4D4×D4311yescharacteristic
1546C22⋊C4D4×D4311yescharacteristic
1547C42—21no—
1548C42—431no—
1549C42—431no—
1550C42—431no—
1551C42—431no—
1552C42—431no—
1553C42—431no—
1554C42—431no—
1555C42—431no—
1556C42—431no—
1557C42—861no—
1558C42—861no—
1559C42—861no—
1560C42—861no—
1561C42—861no—
1562C42—861no—
1563C42—861no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42C23×D4311yescharacteristic
1569C23—21no—
1570C23—21no—
1571C23—42no—
1572C23—42no—
1573C23—81no—
1574C23—431no—
1575C23C2×D4×D4311yescharacteristic
1576C23C2×D4×D4311yescharacteristic
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—81no—
1586Q8—81no—
1587Q8—862no—
1588Q8—861no—
1589Q8—861no—
1590Q8—861no—
1591Q8—861no—
1592Q8—861no—
1593Q8—861no—
1594Q8—861no—
1595Q8—861no—
1596Q8—3441no—
1597Q8—3441no—
1598Q8—3441no—
1599Q8—3441no—
1600Q8—3441no—
1601Q8—1722no—
1602D4—22no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—42no—
1607D4—42no—
1608D4—81no—
1609D4—862no—
1610D4—862no—
1611D4—3441no—
1612D4—1722no—
1613D4#1306337012yes—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—42no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—434no—
1629C2×C4—431no—
1630C2×C4—431no—
1631C2×C4—431no—
1632C2×C4—431no—
1633C2×C4—431no—
1634C2×C4—431no—
1635C2×C4—431no—
1636C2×C4—862no—
1637C2×C4—862no—
1638C2×C4—861no—
1639C2×C4—861no—
1640C2×C4—861no—
1641C2×C4—861no—
1642C2×C4—861no—
1643C2×C4—861no—
1644C2×C4—861no—
1645C2×C4—861no—
1646C2×C4—861no—
1647C2×C4—861no—
1648C2×C4—3441no—
1649C2×C4—3441no—
1650C2×C4—3441no—
1651C2×C4—3441no—
1652C2×C4—3441no—
1653C2×C4—1721no—
1654C2×C4—1722no—
1655C2×C4—1722no—
1656C2×C4—1722no—
1657C2×C4—1722no—
1658C2×C4—1721no—
1659C2×C4—1721no—
1660C2×C4—1722no—
1661C2×C4—1722no—
1662C2×C4C2×D4×D4311yescharacteristic
1663C2×C4C2×D4×D4311yescharacteristic
1664C2×C4C2×D4×D4311yescharacteristic
1665C2×C4C2×D4×D4311yescharacteristic
1666C2×C4C24×D4311yescharacteristic
1667C8—21no—
1668C8—21no—
1669C8—21no—
1670C8—21no—
1671C8—861no—
1672C8—861no—
1673C8—861no—
1674C8—861no—
1675C22—21no—
1676C22—21no—
1677C22—21no—
1678C22—21no—
1679C22—21no—
1680C22—22no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—84no—
1687C22—861no—
1688C22—861no—
1689C22—861no—
1690C22#137×D4312yes—
1691C22C22×D4×D4311yescharacteristic
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—432no—
1703C4—432no—
1704C4—861no—
1705C4—861no—
1706C4—861no—
1707C4—861no—
1708C4—861no—
1709C4—1721no—
1710C4—1721no—
1711C4—1721no—
1712C4—1721no—
1713C4—1721no—
1714C4—1721no—
1715C4—1721no—
1716C4—1721no—
1717C4C2×#1306337011yescharacteristic
1718C4#1458373411yescharacteristic
1719C2—22no—
1720C2—41no—
1721C2—42no—
1722C2—81no—
1723C2—1721no—
1724C2#1914825511yescharacteristic
1725C2C2×#137×D4311yescharacteristic
1726C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3266C2
socleC22×C43C23×D4
prime radical#19148146C2
hypercenter#3266D43
hypocenterC43#61960
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
1. #19148406C2semidirect
3. #19147629C2semidirect
4. #19147623C2semidirect
5. #19147377C2semidirect
6. #19147371C2semidirect
7. #19146884C2semidirect
8. #19146882C2semidirect
9. #19146652C2semidirect
10. #19146650C2semidirect
11. #19146648C2semidirect
12. #19146646C2semidirect
13. #19146239C2semidirect
14. #19146235C2semidirect
15. #19146109C2semidirect
16. #19146105C2semidirect
17. #19146101C2semidirect
18. #19145965C2semidirect
19. #19145961C2semidirect
20. #19145936C2semidirect
21. #19145620C2semidirect
22. #19145618C2semidirect
23. #19145541C2semidirect
24. #19144753C2semidirect
25. #19144750C2semidirect
26. #19144598C2semidirect
27. #19144080C2semidirect
28. #19144077C2semidirect
29. C2×#14583102C2semidirect
30. #19143707C2semidirect
31. C43×#3266C2semidirect
37. #14583627C22semidirect
38. #14583624C22semidirect
53. Q8×C22⋊D43C22semidirect
55. #14583562C22semidirect
61. #14583453C22semidirect
64. #14583451C22semidirect
66. C2×#13063323C22semidirect
67. C4⋊Q8×D43C22semidirect
82. #14583277C22semidirect
83. #14583277C22semidirect
84. #14583268C22semidirect
85. #14583267C22semidirect
86. #14583266C22semidirect
87. #14583266C22semidirect
88. #14583248C22semidirect
89. #14583248C22semidirect
90. #14583242C22semidirect
91. #14583241C22semidirect
92. #14583238C22semidirect
93. #14583237C22semidirect
96. #14583207C22semidirect
97. #14583206C22semidirect
98. #14583205C22semidirect
99. #14583204C22semidirect
100. #14583193C22semidirect
101. #14583193C22semidirect
102. #14583192C22semidirect
103. #14583192C22semidirect
106. #14583157C22semidirect
107. #14583156C22semidirect
108. #14583155C22semidirect
109. #14583154C22semidirect
119. #14583110C22semidirect
120. #14583108C22semidirect
121. #14583108C22semidirect
122. #14583108C22semidirect
123. #14583108C22semidirect
124. #14583107C22semidirect
125. #14583107C22semidirect
126. #14583107C22semidirect
127. #14583107C22semidirect
128. #14583107C22semidirect
129. #14583107C22semidirect
130. #14583106C22semidirect
148. #14583057C22semidirect
150. #14583055C22semidirect
152. #14583053C22semidirect
153. #14583053C22semidirect
158. #14583028C22semidirect
159. #14583027C22semidirect
160. #14583007C22semidirect
161. #14583006C22semidirect
162. #14583004C22semidirect
163. #14583003C22semidirect
171. #14582975C22semidirect
172. #14582974C22semidirect
176. #14582954C22semidirect
177. #14582953C22semidirect
179. #14582922C22semidirect
180. #14582921C22semidirect
182. #14582909C22semidirect
183. #14582908C22semidirect
184. #14582906C22semidirect
185. #14582906C22semidirect
774. C2×Dic43#137semidirect
873. #3266D43semidirect
1066. C43#61960semidirect

Maximal subgroups

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

subgroupindex
#191484062
#191481462
#191476292
#191476232
#191473772
#191473712
#191468842
#191468822
#191466522
#191466502
#191466482
#191466462
#191462392
#191462352
#191461092
#191461052
#191461012
#191459652
#191459612
#191459362
#191456202
#191456182
#191455412
#191447532
#191447502
#191445982
#191440802
#191440772
C2×#145831022
#191437072
C43×#32662
#6196043