Finite Group Databasebeta

← #25978206

Subgroups — #25978206

Order 11008.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Q8×#10621900C211yesmaximal, characteristic, complemented
2#19148146C211yesmaximal, characteristic
3#19147623C211yesmaximal, characteristic, complemented
4#19147506C211yesmaximal, characteristic, complemented
5#19147371C211yesmaximal, characteristic, complemented
6#19147330C211yesmaximal, characteristic, complemented
7#19147216C211yesmaximal, characteristic, complemented
8#19147056C211yesmaximal, characteristic, complemented
9#19147052C211yesmaximal, characteristic, complemented
10#19146904C211yesmaximal, characteristic, complemented
11#19146882C211yesmaximal, characteristic, complemented
12#19146680C211yesmaximal, characteristic, complemented
13#19146676C211yesmaximal, characteristic, complemented
14#19146650C211yesmaximal, characteristic, complemented
15#19146646C211yesmaximal, characteristic, complemented
16#19146235C211yesmaximal, characteristic, complemented
17#19146105C211yesmaximal, characteristic, complemented
18#19145198C211yesmaximal, characteristic, complemented
19#19145194C211yesmaximal, characteristic, complemented
20#19145176C211yesmaximal, characteristic, complemented
21#19144674C211yesmaximal, characteristic, complemented
22#19144670C211yesmaximal, characteristic, complemented
23#19144663C211yesmaximal, characteristic, complemented
24#19144659C211yesmaximal, characteristic, complemented
25#19144629C211yesmaximal, characteristic, complemented
26#19144598C211yesmaximal, characteristic, complemented
27#19143555C211yesmaximal, characteristic, complemented
28#19143417C211yesmaximal, characteristic, complemented
29#137×Dic43C211yesmaximal, characteristic, complemented
30C2×SD16×Dic43C211yesmaximal, characteristic, complemented
31C43×#3266C211yesmaximal, characteristic, complemented
32C2×#13063354C2211yescharacteristic
33Q8×Dic86C2211yescharacteristic, complemented
34#14583624—21no—
35#14583624C2211yescharacteristic, complemented
36#14583618C2211yescharacteristic
37#14583613C2211yescharacteristic
38#14583608C2211yescharacteristic
39#14583607—21no—
40#14583607—21no—
41#14583607C2211yescharacteristic
42#14583607C2211yescharacteristic, complemented
43#14583606—21no—
44#14583606C2211yescharacteristic
45#14583592—21no—
46#14583591C2211yescharacteristic
47#14583589C2211yescharacteristic
48#14583586—21no—
49#14583580—21no—
50#14583575—21no—
51Q8×C22⋊D43C2211yescharacteristic
52Q8×C22⋊D43C2211yescharacteristic, complemented
53#14583548C2211yescharacteristic
54#14583543C2211yescharacteristic
55#14583454—21no—
56#14583454C2211yescharacteristic, complemented
57#14583451—21no—
58#14583451—21no—
59#14583451C2211yescharacteristic
60#14583451C2211yescharacteristic
61#14583451C2211yescharacteristic, complemented
62#14583430—21no—
63#14583430C2211yescharacteristic
64#14583428C2211yescharacteristic
65#14583426—21no—
66#14583405—21no—
67#41×Dic43C2211yescharacteristic
68C4×#10621900—21no—
69C4×#10621900C2211yescharacteristic
70C4×#10621900C2211yescharacteristic
71C2×Q8×Dic43C2211yescharacteristic
72C2×Q8×Dic43C2211yescharacteristic, complemented
73C4×Q8×D43C2211yescharacteristic, complemented
74C2×D4×Dic43C2211yescharacteristic
75C2×#13063281—21no—
76#14583308C2211yescharacteristic, complemented
77#14583307C2211yescharacteristic, complemented
78#14583303C2211yescharacteristic, complemented
79#14583290C2211yescharacteristic
80#14583277C2211yescharacteristic, complemented
81#14583267C2211yescharacteristic, complemented
82#14583266C2211yescharacteristic, complemented
83#14583258C2211yescharacteristic
84#14583257C2211yescharacteristic
85#14583248C2211yescharacteristic, complemented
86#14583248C2211yescharacteristic, complemented
87#14583241C2211yescharacteristic, complemented
88#14583238C2211yescharacteristic, complemented
89#14583238C2211yescharacteristic, complemented
90#14583237C2211yescharacteristic, complemented
91#14583235C2211yescharacteristic
92#14583232C2211yescharacteristic
93#14583230C2211yescharacteristic
94#14583230C2211yescharacteristic, complemented
95#14583228C2211yescharacteristic, complemented
96#14583227C2211yescharacteristic
97#14583211C2211yescharacteristic
98#14583210C2211yescharacteristic
99#14583207C2211yescharacteristic, complemented
100#14583206C2211yescharacteristic, complemented
101#14583204C2211yescharacteristic, complemented
102#14583204C2211yescharacteristic, complemented
103#14583192C2211yescharacteristic, complemented
104#14583192C2211yescharacteristic, complemented
105#14583187C2211yescharacteristic
106#14583187C2211yescharacteristic
107#14583185C2211yescharacteristic, complemented
108#14583182C2211yescharacteristic, complemented
109#14583179C2211yescharacteristic
110#14583177C2211yescharacteristic
111#14583157C2211yescharacteristic, complemented
112#14583155C2211yescharacteristic, complemented
113#14583154C2211yescharacteristic, complemented
114#14583154C2211yescharacteristic, complemented
115#14583143C2211yescharacteristic
116#14583142C2211yescharacteristic
117#14583142C2211yescharacteristic
118#14583140C2211yescharacteristic
119#14583138C2211yescharacteristic
120#14583138C2211yescharacteristic
121#14583119C2211yescharacteristic
122#14583119C2211yescharacteristic
123#14583118C2211yescharacteristic
124#14583107C2211yescharacteristic, complemented
125#14583107C2211yescharacteristic, complemented
126#14583107C2211yescharacteristic, complemented
127#14583106C2211yescharacteristic, complemented
128#14583102C2211yescharacteristic
129#14583102C2211yescharacteristic
130#14583102C2211yescharacteristic
131#14583061C2211yescharacteristic
132#14583058C2211yescharacteristic
133#14583058C2211yescharacteristic
134#14583055C2211yescharacteristic
135#14583055C2211yescharacteristic, complemented
136#14583053C2211yescharacteristic, complemented
137#14583050C2211yescharacteristic
138#14583036C2211yescharacteristic
139#14583028C2211yescharacteristic, complemented
140#14583027C2211yescharacteristic, complemented
141#14583007C2211yescharacteristic, complemented
142#14583006C2211yescharacteristic, complemented
143#14583006C2211yescharacteristic, complemented
144#14583004C2211yescharacteristic, complemented
145#14583000C2211yescharacteristic
146#14583000C2211yescharacteristic
147#14582999C2211yescharacteristic
148Q16×Dic43C2211yescharacteristic, complemented
149Q16×Dic43C2211yescharacteristic, complemented
150Q16×Dic43C2211yescharacteristic, complemented
151#14582993C2211yescharacteristic, complemented
152#14582991C2211yescharacteristic, complemented
153#14582991C2211yescharacteristic, complemented
154#14582991C2211yescharacteristic, complemented
155#14582991C2211yescharacteristic, complemented
156#14582990C2211yescharacteristic
157#14582990C2211yescharacteristic
158SD16×Dic43C2211yescharacteristic
159SD16×Dic43C2211yescharacteristic
160SD16×Dic43C2211yescharacteristic
161SD16×Dic43C2211yescharacteristic
162SD16×Dic43C2211yescharacteristic
163SD16×Dic43C2211yescharacteristic
164SD16×Dic43C2211yescharacteristic
165SD16×Dic43C2211yescharacteristic
166SD16×Dic43C2211yescharacteristic
167SD16×Dic43C2211yescharacteristic
168#14582975C2211yescharacteristic, complemented
169#14582974C2211yescharacteristic, complemented
170#14582971C2211yescharacteristic
171#14582970C2211yescharacteristic
172#14582967C2211yescharacteristic
173#14582951C2211yescharacteristic, complemented
174#14582949C2211yescharacteristic
175#14582949C2211yescharacteristic, complemented
176#14582941C2211yescharacteristic, complemented
177#14582940C2211yescharacteristic, complemented
178C2×#13063257C2211yescharacteristic
179#14582908C2211yescharacteristic, complemented
180#14582906C2211yescharacteristic, complemented
181#14582900C2211yescharacteristic
182#14582897C2211yescharacteristic
183C2×#13063249C2211yescharacteristic
184C2×#13063246C2211yescharacteristic
185#14582851C2211yescharacteristic, complemented
186M16×Dic43C2211yescharacteristic, complemented
187C2×C8×Dic43C2211yescharacteristic
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
205C2×Q8×D43C2311yescharacteristic
206C23×Dic43—21no—
207#13063354—24no—
208C2×Dic172C2311yescharacteristic
209C2×#10621885C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621883C2311yescharacteristic
214C2×#10621883C2311yescharacteristic
215C2×#10621877C2311yescharacteristic
216C2×#10621872C2311yescharacteristic
217C2×#10621872C2311yescharacteristic
218C22×C43⋊C8C2311yescharacteristic
219#13063325—21no—
220#13063325C2311yescharacteristic
221#13063324—21no—
222#13063324—21no—
223#13063324C2311yescharacteristic
224#13063324C2311yescharacteristic
225#13063324C2311yescharacteristic
226#13063323—21no—
227#13063323—21no—
228#13063323C2311yescharacteristic
229#13063323C2311yescharacteristic
230#13063323C2311yescharacteristic
231#13063320—21no—
232#13063318—21no—
233#13063318—21no—
234#13063318—21no—
235#13063318—21no—
236#13063318—21no—
237#13063317C2311yescharacteristic
238#13063316—21no—
239#13063316—21no—
240#13063316—21no—
241#13063316—21no—
242#13063316C2311yescharacteristic
243#13063315—21no—
244#13063315—21no—
245#13063315—21no—
246#13063315—21no—
247#13063315—21no—
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063312—21no—
252#13063312C2311yescharacteristic
253#13063311—21no—
254#13063309—21no—
255#13063308—21no—
256#13063307—21no—
257#13063306—21no—
258#13063306—21no—
259#13063306—21no—
260#13063306—21no—
261#13063305—21no—
262#13063305—21no—
263#13063305—21no—
264#13063304—21no—
265#13063304—21no—
266#13063304—21no—
267#13063304C2311yescharacteristic
268#13063304C2311yescharacteristic
269#13063304C2311yescharacteristic
270#13063304C2311yescharacteristic
271#13063302—21no—
272#13063302—21no—
273#13063302—21no—
274#13063302—21no—
275#13063302—21no—
276#13063302—21no—
277#13063302—21no—
278#13063302—21no—
279#13063302—21no—
280#13063302—21no—
281#13063301—21no—
282#13063301—21no—
283#13063301C2311yescharacteristic
284#13063301C2311yescharacteristic
285#13063301C2311yescharacteristic
286#13063297—21no—
287#13063297—21no—
288#13063297—21no—
289#13063296C2311yescharacteristic
290#13063294—21no—
291Q8×Dic43—21no—
292Q8×Dic43—21no—
293Q8×Dic43—21no—
294Q8×Dic43—21no—
295Q8×Dic43C2311yescharacteristic
296Q8×Dic43C2311yescharacteristic
297Q8×Dic43C2311yescharacteristic
298Q8×Dic43C2311yescharacteristic
299Q8×Dic43C2311yescharacteristic
300Q8×Dic43C2311yescharacteristic
301Q8×Dic43C2311yescharacteristic
302Q8×Dic43C2311yescharacteristic
303Q8×Dic43C2311yescharacteristic
304C4×Dic86—21no—
305C4×Dic86—21no—
306C4×Dic86C2311yescharacteristic
307C4×Dic86C2311yescharacteristic
308C4×Dic86C2311yescharacteristic
309#13063290—21no—
310#13063290—21no—
311#13063290—21no—
312#13063290—21no—
313#13063290—21no—
314#13063290—21no—
315#13063290D411yescharacteristic
316#13063290C2311yescharacteristic
317#13063290C2311yescharacteristic
318D4×Dic43—21no—
319D4×Dic43—21no—
320D4×Dic43—21no—
321D4×Dic43—21no—
322D4×Dic43—21no—
323D4×Dic43—21no—
324D4×Dic43D411yescharacteristic
325D4×Dic43C2311yescharacteristic
326D4×Dic43C2311yescharacteristic
327D4×Dic43C2311yescharacteristic
328D4×Dic43C2311yescharacteristic
329D4×Dic43C2311yescharacteristic
330C4×C22⋊D43—21no—
331C4×C22⋊D43—21no—
332C4×C22⋊D43—21no—
333C4×C22⋊D43C2311yescharacteristic
334C4×C22⋊D43C2311yescharacteristic
335(C22⋊D43)⋊C4—21no—
336(C22⋊D43)⋊C4—21no—
337(C22⋊D43)⋊C4—21no—
338(C22⋊D43)⋊C4—21no—
339(C22⋊D43)⋊C4D411yescharacteristic
340(C22⋊D43)⋊C4D411yescharacteristic
341#13063284—21no—
342#13063284C2311yescharacteristic
343#13063283—21no—
344#13063283D411yescharacteristic
345#13063283C2311yescharacteristic
346#13063281—21no—
347#13063281—21no—
348#13063281—21no—
349#13063281—21no—
350#13063281—21no—
351#13063281—21no—
352#13063281—21no—
353#13063281—21no—
354#13063281—21no—
355#13063281—21no—
356#13063281D411yescharacteristic
357#13063281D411yescharacteristic
358C2×C4⋊Dic43—21no—
359C2×C4⋊Dic43—21no—
360C2×C4⋊Dic43C2311yescharacteristic
361C2×C4⋊Dic43C2311yescharacteristic
362C2×C4⋊Dic43C2311yescharacteristic
363C2×Dic43⋊C4—21no—
364C2×Dic43⋊C4—21no—
365C4⋊C4×D43—21no—
366C4⋊C4×D43C2311yescharacteristic
367C2×C22⋊Dic43—21no—
368C2×C22⋊Dic43—21no—
369C2×C4×Dic43—21no—
370C2×C4×Dic43—21no—
371C2×C4×Dic43—21no—
372C2×C4×Dic43—21no—
373C2×C4×Dic43C2311yescharacteristic
374C2×C4×Dic43C2311yescharacteristic
375C42×D43—21no—
376C42×D43C2311yescharacteristic
377#13063259C2311yescharacteristic
378#13063259C2311yescharacteristic
379#13063259C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063257C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397#13063250C2311yescharacteristic
398#13063250C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430C8×Dic43C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C2×#41×C43C2311yescharacteristic
437C22×Q8×C43C2311yescharacteristic
438C22×Q8×C43C2311yescharacteristic
439C22×D4×C43C2311yescharacteristic
440#137×C43—24no—
441C2×Q16×C43C2311yescharacteristic
442C2×Q16×C43C2311yescharacteristic
443C2×Q16×C43C2311yescharacteristic
444C2×SD16×C43—24no—
445C2×SD16×C43C2311yescharacteristic
446C2×SD16×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×SD16×C43C2311yescharacteristic
450C2×SD16×C43C2311yescharacteristic
451C2×M16×C43C2311yescharacteristic
452C22×C8×C43C2311yescharacteristic
453C4⋊Q8×C43—21no—
454C4⋊Q8×C43C2311yescharacteristic
455#124×C43C2311yescharacteristic
456#123×C43—21no—
457C22⋊Q8×C43—21no—
458C22⋊Q8×C43—21no—
459C22⋊Q8×C43C2311yescharacteristic
460C22⋊Q8×C43C2311yescharacteristic
461C22⋊Q8×C43C2311yescharacteristic
462#121×C43—21no—
463#121×C43C2311yescharacteristic
464#120×C43—21no—
465C4×Q8×C43C2311yescharacteristic
466C4×D4×C43—21no—
467C4×D4×C43C2311yescharacteristic
468C4×D4×C43C2311yescharacteristic
469C2×C22⋊C4×C43—21no—
470#107×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C24×C43—21no—
482#41×C43—22no—
483#41×C43—41no—
484C2×Q8×C43—21no—
485C2×Q8×C43—21no—
486C2×Q8×C43—22no—
487C2×Q8×C43—22no—
488C2×Q8×C43—41no—
489C2×Q8×C43—41no—
490C2×Q8×C43C2411yescharacteristic
491C2×Q8×C43C2411yescharacteristic
492C2×Q8×C43C2411yescharacteristic
493C2×Q8×C43C2411yescharacteristic
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—22no—
498C2×D4×C43—41no—
499C2×D4×C43C2×D411yescharacteristic
500C2×D4×C43C2411yescharacteristic
501C2×D4×C43C2411yescharacteristic
502C22×C4×C43—21no—
503C22×C4×C43—21no—
504C22×C4×C43—21no—
505C22×C4×C43—21no—
506C22×C4×C43C2411yescharacteristic
507C22×C4×C43C2411yescharacteristic
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43C2×D411yescharacteristic
511C2×C22⋊D43C2×D411yescharacteristic
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—44no—
522C22×Dic43C2×D411yescharacteristic
523C22×Dic43C2×D411yescharacteristic
524C22×Dic43C2×D411yescharacteristic
525C22×Dic43C2×D411yescharacteristic
526Q8×D43—22no—
527Q8×D43—41no—
528#10621900—24no—
529#10621900—22no—
530#10621900—41no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43C2×D411yescharacteristic
534C2×C4×D43C2×D411yescharacteristic
535C2×C4×D43C2411yescharacteristic
536C2×Dic86—21no—
537C2×Dic86—21no—
538C2×Dic86—21no—
539C2×Dic86—21no—
540C2×Dic86—21no—
541C2×Dic86C2×D411yescharacteristic
542C2×Dic86C2411yescharacteristic
543C2×Dic86C2411yescharacteristic
544Q16×C43—22no—
545Q16×C43—22no—
546Q16×C43—41no—
547SD16×C43—22no—
548SD16×C43—22no—
549SD16×C43—22no—
550SD16×C43—22no—
551SD16×C43—41no—
552SD16×C43#4114yescomplemented
553M16×C43—22no—
554C2×C8×C43—22no—
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
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×C43C2×D411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43C2×D411yescharacteristic
576C22⋊C4×C43C2×D411yescharacteristic
577C42×C43—21no—
578C42×C43C2411yescharacteristic
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43C2×D411yescharacteristic
593C22⋊Dic43C2×D411yescharacteristic
594#10621885—22no—
595#10621885—41no—
596#10621885—41no—
597#10621885—41no—
598#10621883—22no—
599#10621883—41no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4C2×D411yescharacteristic
605(C2×D43)⋊C4C2×D411yescharacteristic
606C4⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43C2×D411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43C2×D411yescharacteristic
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2×D411yescharacteristic
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2×D411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678C4×Dic43C2411yescharacteristic
679#10621877—41no—
680C2×C43⋊C8—41no—
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685Dic172—22no—
686#10621872—22no—
687#10621872—41no—
688C23×C43—21no—
689C23×C43—21no—
690C23×C43—42no—
691C23×C43—42no—
692C23×C43—81no—
693C23×C43C22×D411yescharacteristic
694C23×C43C22×D411yescharacteristic
695C22×D43C22×D411yescharacteristic
696Q8×C43—21no—
697Q8×C43—21no—
698Q8×C43—21no—
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—21no—
702Q8×C43—21no—
703Q8×C43—42no—
704Q8×C43—42no—
705Q8×C43C2×#4112yes—
706D4×C43—22no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—42no—
711D4×C43—42no—
712D4×C43—81no—
713D4×C43C2×#4112yes—
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—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—42no—
725C2×C4×C43—42no—
726C2×C4×C43—42no—
727C2×C4×C43—81no—
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C2511yescharacteristic
733C22⋊D43—22no—
734C22⋊D43—22no—
735C22⋊D43—42no—
736C22⋊D43—81no—
737C2×Dic43—22no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—41no—
747C2×Dic43—41no—
748C2×Dic43—42no—
749C2×Dic43—42no—
750C2×Dic43—42no—
751C2×Dic43—42no—
752C2×Dic43—42no—
753C2×Dic43—42no—
754C2×Dic43—81no—
755C2×Dic43—81no—
756C2×Dic43—81no—
757C2×Dic43#13714yescomplemented
758C2×Dic43C22×D411yescharacteristic
759C2×Dic43C22×D411yescharacteristic
760C2×Dic43C22×D411yescharacteristic
761C2×Dic43C22×D411yescharacteristic
762C2×Dic43C22×D411yescharacteristic
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765C4×D43—21no—
766C4×D43—21no—
767C4×D43—22no—
768C4×D43—41no—
769C4×D43—42no—
770C4×D43—81no—
771Dic86—22no—
772Dic86—21no—
773Dic86—21no—
774Dic86—21no—
775Dic86—21no—
776Dic86—42no—
777Dic86—81no—
778Dic86—81no—
779Dic86—81no—
780Dic86—81no—
781C8×C43—21no—
782C8×C43—21no—
783C8×C43—21no—
784C8×C43C2×#4112yes—
785C43⋊C8—21no—
786C43⋊C8—21no—
787C43⋊C8—21no—
788C43⋊C8—21no—
789#61438—431nomaximal, Sylow
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—21no—
793C22×C43—22no—
794C22×C43—21no—
795C22×C43—21no—
796C22×C43—41no—
797C22×C43—41no—
798C22×C43—41no—
799C22×C43—41no—
800C22×C43—41no—
801C22×C43—84no—
802C22×C43C2×#13712yes—
803C22×C43C23×D411yescharacteristic
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—21no—
807C4×C43—21no—
808C4×C43—22no—
809C4×C43—21no—
810C4×C43—21no—
811C4×C43—21no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43—41no—
817C4×C43C22×#4111yescharacteristic
818C4×C43#58511yescharacteristic
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—21no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830Dic43—41no—
831Dic43—41no—
832Dic43C2×#13712yes—
833Dic43C2×#13712yes—
834Q8×#41—431no—
835#3475—431no—
836#3398—431no—
837#3385—431no—
838#3372—431no—
839#3369—431no—
840#3357—431no—
841#3344—431no—
842#3344—431no—
843#3331—431no—
844#3329—431no—
845#3314—431no—
846#3314—431no—
847#3312—431no—
848#3312—431no—
849#3276—431no—
850#3266—431no—
851#3266D4311yescharacteristic, complemented
852#3172—431no—
853#3172—431no—
854#3170—431no—
855#3108—431no—
856#3108—431no—
857#3107—431no—
858#3107—431no—
859#3104—431no—
860#3101—431no—
861#2965—431no—
862C4×#137—431no—
863C4×#137—431no—
864C2×C4×SD16—431no—
865C2×C43—22no—
866C2×C43—41no—
867C2×C43—42no—
868C2×C43—81no—
869C2×C43D4×#4111yescharacteristic
870C2×C43C22×#13711yescharacteristic
871C2×C43#358411yescharacteristic
872D43—41no—
873C2×#137—431no—
874C2×#137C2×D4311yescharacteristic
875C22×SD16C2×D4311yescharacteristic
876Q82—431no—
877#557—431no—
878#557—861no—
879#556—431no—
880#555—431no—
881#554—431no—
882#554—431no—
883#554—431no—
884#554—431no—
885#554—861no—
886#554—861no—
887#554—861no—
888#553—861no—
889#552—431no—
890#552—431no—
891#552—861no—
892#551—861no—
893#551—861no—
894D4×Q8—431no—
895D4×Q8—431no—
896D4×Q8C2×D4311yescharacteristic
897#547—431no—
898#546—431no—
899#546C2×D4311yescharacteristic
900#533—431no—
901#533—431no—
902#533—431no—
903#533—431no—
904#533—861no—
905#533—861no—
906#533—861no—
907#529—431no—
908#529—431no—
909#529—861no—
910#529—861no—
911#525—861no—
912C4×#41—431no—
913C4×#41—431no—
914C4×#41—431no—
915C4×#41—861no—
916C2×C4×Q8—431no—
917C2×C4×Q8—431no—
918C2×C4×Q8—431no—
919C2×C4×D4—431no—
920C2×#117—861no—
921#501—431no—
922#501—431no—
923#500—431no—
924#497—431no—
925#497C2×D4311yescharacteristic
926#494—431no—
927#491—431no—
928#491—431no—
929#489—431no—
930#489—431no—
931#487—431no—
932#487—431no—
933#485—431no—
934#485—431no—
935#485—431no—
936#485—431no—
937#484—431no—
938#484—431no—
939#483—431no—
940#483—431no—
941#483—431no—
942#483—431no—
943#480—431no—
944#480—431no—
945#479—431no—
946#479—431no—
947#479—431no—
948#479—431no—
949#477—431no—
950#477—431no—
951#476—431no—
952#476—431no—
953#475—431no—
954#475—431no—
955#474—431no—
956#474—431no—
957#470—431no—
958#470—431no—
959#470—431no—
960#470—431no—
961#468—431no—
962#468—431no—
963#468—431no—
964#468C2×D4311yescharacteristic
965#467—431no—
966#467—431no—
967#467—431no—
968#467C2×D4311yescharacteristic
969#464—431no—
970#464—431no—
971#464—431no—
972#464C2×D4311yescharacteristic
973#462—431no—
974#462—431no—
975#462—431no—
976#462—431no—
977#461—431no—
978#461—431no—
979#461—431no—
980#461C2×D4311yescharacteristic
981#452—431no—
982#452—431no—
983#452—431no—
984#452C2×D4311yescharacteristic
985#451—431no—
986#451—431no—
987#451—431no—
988#451C2×D4311yescharacteristic
989#450—431no—
990#450C2×D4311yescharacteristic
991#448—431no—
992#448C2×D4311yescharacteristic
993#446—431no—
994#446—431no—
995#441—431no—
996#441—431no—
997#441—431no—
998#441—431no—
999#440—431no—
1000#440—431no—
1001#440—431no—
1002#440C2×D4311yescharacteristic
1003C4×Q16—431no—
1004C4×Q16—431no—
1005C4×Q16—431no—
1006C4×Q16—431no—
1007C4×Q16—431no—
1008C4×Q16—431no—
1009C4×Q16—431no—
1010C4×Q16—431no—
1011C4×SD16—431no—
1012C4×SD16—431no—
1013C4×SD16—431no—
1014C4×SD16—431no—
1015C4×SD16—431no—
1016C4×SD16—431no—
1017C4×SD16—431no—
1018C4×SD16—431no—
1019C4×SD16—431no—
1020C4×SD16—431no—
1021C4×SD16—431no—
1022C4×SD16—431no—
1023#436—431no—
1024#436—431no—
1025#435—431no—
1026#435—431no—
1027#435—431no—
1028#435C2×D4311yescharacteristic
1029#431—431no—
1030#431—431no—
1031#431—431no—
1032#428—431no—
1033#428—431no—
1034C2×#106—431no—
1035#419—431no—
1036#419—431no—
1037#417—431no—
1038#417—431no—
1039C2×#103—431no—
1040C2×#102—431no—
1041C4×M16—431no—
1042C4×M16—431no—
1043C2×C4×C8—431no—
1044C43#6143811yescharacteristic, complemented, Sylow
1045C2×#41—431no—
1046C2×#41—431no—
1047C2×#41C22×D4311yescharacteristic
1048C22×Q8—431no—
1049C22×Q8C22×D4311yescharacteristic
1050C22×Q8C22×D4311yescharacteristic
1051C22×D4C22×D4311yescharacteristic
1052C23×C4—861no—
1053#137—24no—
1054#137—864no—
1055C2×Q16—431no—
1056C2×Q16—431no—
1057C2×Q16—431no—
1058C2×Q16—431no—
1059C2×Q16—431no—
1060C2×Q16C22×D4311yescharacteristic
1061C2×Q16C22×D4311yescharacteristic
1062C2×Q16C22×D4311yescharacteristic
1063C2×SD16—24no—
1064C2×SD16—431no—
1065C2×SD16—431no—
1066C2×SD16C22×D4311yescharacteristic
1067C2×SD16C22×D4311yescharacteristic
1068C2×SD16C22×D4311yescharacteristic
1069C2×SD16C22×D4311yescharacteristic
1070C2×SD16C22×D4311yescharacteristic
1071C2×SD16C22×D4311yescharacteristic
1072C2×M16—431no—
1073C2×M16—431no—
1074C2×M16—431no—
1075C2×M16C22×D4311yescharacteristic
1076C22×C8—431no—
1077C22×C8C22×D4311yescharacteristic
1078C4⋊Q8—21no—
1079C4⋊Q8—431no—
1080C4⋊Q8—431no—
1081C4⋊Q8—431no—
1082C4⋊Q8—431no—
1083C4⋊Q8—431no—
1084C4⋊Q8—431no—
1085C4⋊Q8—431no—
1086C4⋊Q8—861no—
1087C4⋊Q8—861no—
1088C4⋊Q8—861no—
1089C4⋊Q8—861no—
1090C4⋊Q8—861no—
1091C4⋊Q8C22×D4311yescharacteristic
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#125—431no—
1099#125—431no—
1100#125—861no—
1101#125—861no—
1102#125—861no—
1103#125—861no—
1104#125—861no—
1105#125—861no—
1106#125—861no—
1107#125—861no—
1108#125—861no—
1109#125—861no—
1110#125—861no—
1111#125—861no—
1112#124—431no—
1113#124—861no—
1114#124—861no—
1115#124C22×D4311yescharacteristic
1116#123—21no—
1117#123—861no—
1118#123—861no—
1119#123—861no—
1120#123—861no—
1121#123—861no—
1122#123—861no—
1123#123—861no—
1124C22⋊Q8—21no—
1125C22⋊Q8—21no—
1126C22⋊Q8—431no—
1127C22⋊Q8—431no—
1128C22⋊Q8—431no—
1129C22⋊Q8—431no—
1130C22⋊Q8—431no—
1131C22⋊Q8—431no—
1132C22⋊Q8—431no—
1133C22⋊Q8—861no—
1134C22⋊Q8—861no—
1135C22⋊Q8—861no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8C22×D4311yescharacteristic
1152C22⋊Q8C22×D4311yescharacteristic
1153C22⋊Q8C22×D4311yescharacteristic
1154#121—21no—
1155#121—431no—
1156#121—861no—
1157#121—861no—
1158#121—861no—
1159#121C22×D4311yescharacteristic
1160#120—21no—
1161#120—861no—
1162C4×Q8—431no—
1163C4×Q8—431no—
1164C4×Q8—431no—
1165C4×Q8—431no—
1166C4×Q8—431no—
1167C4×Q8—431no—
1168C4×Q8—431no—
1169C4×Q8—431no—
1170C4×Q8—431no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—431no—
1176C4×Q8—431no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×Q8—861no—
1180C4×Q8—861no—
1181C4×Q8—861no—
1182C4×Q8—861no—
1183C4×Q8—861no—
1184C4×Q8—861no—
1185C4×Q8—861no—
1186C4×Q8—861no—
1187C4×Q8—861no—
1188C4×Q8—861no—
1189C4×Q8C22×D4311yescharacteristic
1190C4×D4—21no—
1191C4×D4—431no—
1192C4×D4—431no—
1193C4×D4—431no—
1194C4×D4—431no—
1195C4×D4—431no—
1196C4×D4—431no—
1197C4×D4—431no—
1198C4×D4—431no—
1199C4×D4—431no—
1200C4×D4—431no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4—861no—
1206C4×D4—861no—
1207C4×D4—861no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4C22×D4311yescharacteristic
1215C4×D4C22×D4311yescharacteristic
1216#117—431no—
1217#117—431no—
1218#117—431no—
1219#117—431no—
1220#117—431no—
1221#117—861no—
1222#117—861no—
1223#117—861no—
1224#117—861no—
1225#117—861no—
1226#117—861no—
1227#117—861no—
1228#117—861no—
1229#117—861no—
1230#117—861no—
1231#117—861no—
1232#117—861no—
1233C2×C4⋊C4—431no—
1234C2×C4⋊C4—431no—
1235C2×C4⋊C4—431no—
1236C2×C4⋊C4—431no—
1237C2×C4⋊C4—861no—
1238C2×C4⋊C4—861no—
1239C2×C4⋊C4—861no—
1240C2×C4⋊C4—861no—
1241C2×C4⋊C4—861no—
1242C2×C22⋊C4—21no—
1243C2×C22⋊C4—861no—
1244C2×C22⋊C4—861no—
1245C2×C42—431no—
1246C2×C42—431no—
1247C2×C42—431no—
1248C2×C42—861no—
1249C2×C42—861no—
1250C2×C42—861no—
1251C2×C42—861no—
1252C2×C42—861no—
1253#107—431no—
1254#107—431no—
1255#107—431no—
1256#107—431no—
1257#107—431no—
1258#107—431no—
1259#107—431no—
1260#107C22×D4311yescharacteristic
1261#106—431no—
1262#106—431no—
1263#106—431no—
1264#106—431no—
1265#106—431no—
1266#106—431no—
1267#106—431no—
1268#106—431no—
1269C4⋊C8—431no—
1270C4⋊C8—431no—
1271C4⋊C8—431no—
1272C4⋊C8—431no—
1273C4⋊C8—431no—
1274C4⋊C8C22×D4311yescharacteristic
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#103—431no—
1279#103—431no—
1280#103—431no—
1281#103—431no—
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103C22×D4311yescharacteristic
1296#103C22×D4311yescharacteristic
1297#103C22×D4311yescharacteristic
1298#103C22×D4311yescharacteristic
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102C22×D4311yescharacteristic
1306#102C22×D4311yescharacteristic
1307C22⋊C8—431no—
1308C22⋊C8—431no—
1309C22⋊C8—431no—
1310C22⋊C8—431no—
1311C22⋊C8C22×D4311yescharacteristic
1312C22⋊C8C22×D4311yescharacteristic
1313#97—431no—
1314#97—431no—
1315#97—431no—
1316#97C22×D4311yescharacteristic
1317C4×C8—431no—
1318C4×C8—431no—
1319C4×C8—431no—
1320C4×C8—431no—
1321C4×C8—431no—
1322C4×C8—431no—
1323C24—21no—
1324#41—22no—
1325#41—41no—
1326#41—864no—
1327#41—862no—
1328#41—1721no—
1329C2×Q8—21no—
1330C2×Q8—21no—
1331C2×Q8—22no—
1332C2×Q8—22no—
1333C2×Q8—41no—
1334C2×Q8—41no—
1335C2×Q8—431no—
1336C2×Q8—431no—
1337C2×Q8—431no—
1338C2×Q8—861no—
1339C2×Q8—861no—
1340C2×Q8—861no—
1341C2×Q8—861no—
1342C2×Q8—861no—
1343C2×Q8—862no—
1344C2×Q8—1721no—
1345C2×Q8C23×D4311yescharacteristic
1346C2×Q8C23×D4311yescharacteristic
1347C2×Q8C23×D4311yescharacteristic
1348C2×Q8C23×D4311yescharacteristic
1349C2×D4—22no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—41no—
1354C2×D4—431no—
1355C2×D4—431no—
1356C2×D4—861no—
1357C2×D4—861no—
1358C2×D4D4×D4311yescharacteristic
1359C2×D4C23×D4311yescharacteristic
1360C2×D4C23×D4311yescharacteristic
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—431no—
1366C22×C4—431no—
1367C22×C4—431no—
1368C22×C4—431no—
1369C22×C4—431no—
1370C22×C4—431no—
1371C22×C4—431no—
1372C22×C4—861no—
1373C22×C4—861no—
1374C22×C4—861no—
1375C22×C4—861no—
1376C22×C4—861no—
1377C22×C4—861no—
1378C22×C4—861no—
1379C22×C4—861no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—861no—
1383C22×C4—1724no—
1384C22×C4C23×D4311yescharacteristic
1385C22×C4C23×D4311yescharacteristic
1386Q16—22no—
1387Q16—22no—
1388Q16—41no—
1389Q16—862no—
1390Q16—862no—
1391Q16—1721no—
1392Q16—1721no—
1393Q16—1721no—
1394SD16—22no—
1395SD16—22no—
1396SD16—22no—
1397SD16—22no—
1398SD16—41no—
1399SD16—862no—
1400SD16—1721no—
1401SD16#1062190014yescomplemented
1402M16—22no—
1403M16—862no—
1404M16—1721no—
1405M16—1721no—
1406C2×C8—22no—
1407C2×C8—431no—
1408C2×C8—431no—
1409C2×C8—431no—
1410C2×C8—431no—
1411C2×C8—1721no—
1412C2×C8C23×D4311yescharacteristic
1413C2×C8C23×D4311yescharacteristic
1414C2×C8C23×D4311yescharacteristic
1415C2×C8C23×D4311yescharacteristic
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—431no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4D4×D4311yescharacteristic
1472C4⋊C4C23×D4311yescharacteristic
1473C4⋊C4C23×D4311yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—431no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4D4×D4311yescharacteristic
1503C22⋊C4D4×D4311yescharacteristic
1504C42—21no—
1505C42—431no—
1506C42—431no—
1507C42—431no—
1508C42—431no—
1509C42—431no—
1510C42—431no—
1511C42—431no—
1512C42—431no—
1513C42—431no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42—861no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42C23×D4311yescharacteristic
1530C23—21no—
1531C23—21no—
1532C23—42no—
1533C23—42no—
1534C23—81no—
1535C23—431no—
1536C23C2×D4×D4311yescharacteristic
1537C23C2×D4×D4311yescharacteristic
1538Q8—21no—
1539Q8—21no—
1540Q8—21no—
1541Q8—21no—
1542Q8—21no—
1543Q8—21no—
1544Q8—21no—
1545Q8—42no—
1546Q8—42no—
1547Q8—862no—
1548Q8—861no—
1549Q8—861no—
1550Q8—861no—
1551Q8—861no—
1552Q8—3441no—
1553Q8—3441no—
1554Q8—3441no—
1555Q8—3441no—
1556Q8—1722no—
1557Q8C2×#1062190012yes—
1558D4—22no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—42no—
1563D4—42no—
1564D4—81no—
1565D4—862no—
1566D4—862no—
1567D4—3441no—
1568D4—1722no—
1569D4C2×#1062190012yes—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—42no—
1581C2×C4—42no—
1582C2×C4—42no—
1583C2×C4—81no—
1584C2×C4—434no—
1585C2×C4—431no—
1586C2×C4—431no—
1587C2×C4—431no—
1588C2×C4—431no—
1589C2×C4—431no—
1590C2×C4—431no—
1591C2×C4—431no—
1592C2×C4—862no—
1593C2×C4—862no—
1594C2×C4—861no—
1595C2×C4—861no—
1596C2×C4—861no—
1597C2×C4—861no—
1598C2×C4—861no—
1599C2×C4—861no—
1600C2×C4—861no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—3441no—
1605C2×C4—3441no—
1606C2×C4—3441no—
1607C2×C4—3441no—
1608C2×C4—1721no—
1609C2×C4—1722no—
1610C2×C4—1722no—
1611C2×C4—1722no—
1612C2×C4—1722no—
1613C2×C4—1722no—
1614C2×C4—1721no—
1615C2×C4—1721no—
1616C2×C4—1722no—
1617C2×C4—1722no—
1618C2×C4C2×D4×D4311yescharacteristic
1619C2×C4C2×D4×D4311yescharacteristic
1620C2×C4C2×D4×D4311yescharacteristic
1621C2×C4C2×D4×D4311yescharacteristic
1622C2×C4C24×D4311yescharacteristic
1623C8—21no—
1624C8—21no—
1625C8—21no—
1626C8—861no—
1627C8—861no—
1628C8—861no—
1629C8—861no—
1630C8C2×#1062190012yes—
1631C22—21no—
1632C22—21no—
1633C22—21no—
1634C22—21no—
1635C22—22no—
1636C22—21no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—84no—
1643C22—861no—
1644C22—861no—
1645C22—861no—
1646C22#137×D4312yes—
1647C22C22×D4×D4311yescharacteristic
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—22no—
1652C4—21no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—432no—
1659C4—432no—
1660C4—861no—
1661C4—861no—
1662C4—861no—
1663C4—861no—
1664C4—861no—
1665C4—1721no—
1666C4—1721no—
1667C4—1721no—
1668C4—1721no—
1669C4—1721no—
1670C4—1721no—
1671C4—1721no—
1672C4—1721no—
1673C4C22×#1062190011yescharacteristic
1674C4#1458373411yescharacteristic
1675C2—22no—
1676C2—41no—
1677C2—42no—
1678C2—81no—
1679C2—1721no—
1680C2D4×#1062190011yescharacteristic
1681C2C2×#137×D4311yescharacteristic
1682C2#1914936711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3266C2
socleC22×C43C23×D4
prime radical#19148146C2
hypercenter#3266D43
hypocenterC43#61438
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. Q8×#10621900C2semidirect
3. #19147623C2semidirect
4. #19147506C2semidirect
5. #19147371C2semidirect
6. #19147330C2semidirect
7. #19147216C2semidirect
8. #19147056C2semidirect
9. #19147052C2semidirect
10. #19146904C2semidirect
11. #19146882C2semidirect
12. #19146680C2semidirect
13. #19146676C2semidirect
14. #19146650C2semidirect
15. #19146646C2semidirect
16. #19146235C2semidirect
17. #19146105C2semidirect
18. #19145198C2semidirect
19. #19145194C2semidirect
20. #19145176C2semidirect
21. #19144674C2semidirect
22. #19144670C2semidirect
23. #19144663C2semidirect
24. #19144659C2semidirect
25. #19144629C2semidirect
26. #19144598C2semidirect
27. #19143555C2semidirect
28. #19143417C2semidirect
29. #137×Dic43C2semidirect
30. C2×SD16×Dic43C2semidirect
31. C43×#3266C2semidirect
33. Q8×Dic86C22semidirect
35. #14583624C22semidirect
42. #14583607C22semidirect
52. Q8×C22⋊D43C22semidirect
56. #14583454C22semidirect
61. #14583451C22semidirect
72. C2×Q8×Dic43C22semidirect
73. C4×Q8×D43C22semidirect
76. #14583308C22semidirect
77. #14583307C22semidirect
78. #14583303C22semidirect
80. #14583277C22semidirect
81. #14583267C22semidirect
82. #14583266C22semidirect
85. #14583248C22semidirect
86. #14583248C22semidirect
87. #14583241C22semidirect
88. #14583238C22semidirect
89. #14583238C22semidirect
90. #14583237C22semidirect
94. #14583230C22semidirect
95. #14583228C22semidirect
99. #14583207C22semidirect
100. #14583206C22semidirect
101. #14583204C22semidirect
102. #14583204C22semidirect
103. #14583192C22semidirect
104. #14583192C22semidirect
107. #14583185C22semidirect
108. #14583182C22semidirect
111. #14583157C22semidirect
112. #14583155C22semidirect
113. #14583154C22semidirect
114. #14583154C22semidirect
124. #14583107C22semidirect
125. #14583107C22semidirect
126. #14583107C22semidirect
127. #14583106C22semidirect
135. #14583055C22semidirect
136. #14583053C22semidirect
139. #14583028C22semidirect
140. #14583027C22semidirect
141. #14583007C22semidirect
142. #14583006C22semidirect
143. #14583006C22semidirect
144. #14583004C22semidirect
148. Q16×Dic43C22semidirect
149. Q16×Dic43C22semidirect
150. Q16×Dic43C22semidirect
151. #14582993C22semidirect
152. #14582991C22semidirect
153. #14582991C22semidirect
154. #14582991C22semidirect
155. #14582991C22semidirect
168. #14582975C22semidirect
169. #14582974C22semidirect
173. #14582951C22semidirect
175. #14582949C22semidirect
176. #14582941C22semidirect
177. #14582940C22semidirect
179. #14582908C22semidirect
180. #14582906C22semidirect
185. #14582851C22semidirect
186. M16×Dic43C22semidirect
552. SD16×C43#41semidirect
757. C2×Dic43#137semidirect
851. #3266D43semidirect
1044. C43#61438semidirect
1401. SD16#10621900semidirect

Maximal subgroups

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

subgroupindex
Q8×#106219002
#191481462
#191476232
#191475062
#191473712
#191473302
#191472162
#191470562
#191470522
#191469042
#191468822
#191466802
#191466762
#191466502
#191466462
#191462352
#191461052
#191451982
#191451942
#191451762
#191446742
#191446702
#191446632
#191446592
#191446292
#191445982
#191435552
#191434172
#137×Dic432
C2×SD16×Dic432
C43×#32662
#6143843