Finite Group Databasebeta

← #25979532

Subgroups — #25979532

Order 11008.

1816 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148687C211yesmaximal, characteristic, complemented
2#19148634C211yesmaximal, characteristic
3#19147621C211yesmaximal, characteristic, complemented
4#19147511C211yesmaximal, characteristic, complemented
5#19147283C211yesmaximal, characteristic, complemented
6#19147232C211yesmaximal, characteristic, complemented
7#19147172C211yesmaximal, characteristic, complemented
8#19147057C211yesmaximal, characteristic, complemented
9#19147053C211yesmaximal, characteristic, complemented
10#19146505C211yesmaximal, characteristic, complemented
11#19146474C211yesmaximal, characteristic, complemented
12#19146469C211yesmaximal, characteristic, complemented
13#19146458C211yesmaximal, characteristic, complemented
14#19146427C211yesmaximal, characteristic, complemented
15#19146423C211yesmaximal, characteristic, complemented
16#19146239C211yesmaximal, characteristic, complemented
17#19146111C211yesmaximal, characteristic, complemented
18#19146103C211yesmaximal, characteristic, complemented
19#19145269C211yesmaximal, characteristic, complemented
20#19145265C211yesmaximal, characteristic, complemented
21#19145178C211yesmaximal, characteristic, complemented
22#19144830C211yesmaximal, characteristic, complemented
23#19144826C211yesmaximal, characteristic, complemented
24#19144805C211yesmaximal, characteristic, complemented
25#19144723C211yesmaximal, characteristic, complemented
26#19144692C211yesmaximal, characteristic, complemented
27#19143568C211yesmaximal, characteristic, complemented
28#19143435C211yesmaximal, characteristic, complemented
29#19143434C211yesmaximal, characteristic, complemented
30C4×SD16×D43C211yesmaximal, characteristic, complemented
31C43×#3120C211yesmaximal, characteristic, complemented
32C2×#13063355C2211yescharacteristic
33C2×#13063354C2211yescharacteristic
34C2×SD16×D43C2211yescharacteristic
35#14583626—21no—
36#14583626C2211yescharacteristic, complemented
37#14583624C2211yescharacteristic, complemented
38#14583621C2211yescharacteristic
39#14583620C2211yescharacteristic, complemented
40#14583616—21no—
41#14583609C2211yescharacteristic
42#14583604C2211yescharacteristic
43#14583587C2211yescharacteristic
44#14583585—21no—
45#14583583C2211yescharacteristic
46#14583582—21no—
47#14583581—21no—
48#14583578—21no—
49#14583573—21no—
50D4×Dic86C2211yescharacteristic
51#14583564C2211yescharacteristic
52#14583562C2211yescharacteristic
53#14583562C2211yescharacteristic, complemented
54#14583558—21no—
55#14583550C2211yescharacteristic
56#14583548C2211yescharacteristic
57#14583544C2211yescharacteristic
58#14583537C2211yescharacteristic
59#14583521C2211yescharacteristic
60#14583520C2211yescharacteristic
61#14583508—21no—
62#14583507C2211yescharacteristic, complemented
63#14583506—21no—
64#14583496—21no—
65#14583491—21no—
66#14583455—21no—
67#14583453C2211yescharacteristic
68#14583453C2211yescharacteristic
69#14583432—21no—
70#14583427C2211yescharacteristic
71#14583408—21no—
72C2×#13063303—21no—
73#14583378C2211yescharacteristic
74#14583376C2211yescharacteristic, complemented
75#14583375C2211yescharacteristic, complemented
76C4×Q8×D43C2211yescharacteristic
77C4×D4×D43C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583303C2211yescharacteristic, complemented
81#14583292C2211yescharacteristic
82#14583291C2211yescharacteristic
83#14583277C2211yescharacteristic, complemented
84#14583256C2211yescharacteristic
85#14583255C2211yescharacteristic
86#14583249C2211yescharacteristic, complemented
87#14583248C2211yescharacteristic, complemented
88#14583248C2211yescharacteristic, complemented
89#14583248C2211yescharacteristic, complemented
90#14583241C2211yescharacteristic, complemented
91#14583238C2211yescharacteristic, complemented
92#14583236C2211yescharacteristic
93#14583233C2211yescharacteristic
94#14583233C2211yescharacteristic, complemented
95#14583231C2211yescharacteristic
96#14583231C2211yescharacteristic, complemented
97#14583228C2211yescharacteristic
98#14583226C2211yescharacteristic
99#14583224C2211yescharacteristic
100#14583209C2211yescharacteristic, complemented
101#14583197C2211yescharacteristic
102#14583195C2211yescharacteristic, complemented
103#14583193C2211yescharacteristic, complemented
104#14583185C2211yescharacteristic, complemented
105#14583183C2211yescharacteristic, complemented
106#14583182C2211yescharacteristic, complemented
107#14583182C2211yescharacteristic, complemented
108#14583178C2211yescharacteristic
109#14583177C2211yescharacteristic
110#14583156C2211yescharacteristic, complemented
111#14583155C2211yescharacteristic, complemented
112#14583148C2211yescharacteristic
113#14583147C2211yescharacteristic
114#14583141C2211yescharacteristic
115#14583139C2211yescharacteristic
116#14583139C2211yescharacteristic
117#14583138C2211yescharacteristic, complemented
118#14583137C2211yescharacteristic
119#14583137C2211yescharacteristic, complemented
120#14583130C2211yescharacteristic
121#14583129C2211yescharacteristic
122#14583124C2211yescharacteristic
123#14583123C2211yescharacteristic
124#14583122C2211yescharacteristic
125#14583122C2211yescharacteristic
126#14583108C2211yescharacteristic, complemented
127#14583108C2211yescharacteristic, complemented
128#14583107C2211yescharacteristic, complemented
129#14583103C2211yescharacteristic
130#14583102C2211yescharacteristic
131#14583102C2211yescharacteristic
132#14583062C2211yescharacteristic
133#14583058C2211yescharacteristic
134#14583057C2211yescharacteristic, complemented
135#14583056C2211yescharacteristic
136#14583053C2211yescharacteristic
137#14583053C2211yescharacteristic, complemented
138#14583051C2211yescharacteristic
139#14583048C2211yescharacteristic
140#14583040C2211yescharacteristic
141#14583039C2211yescharacteristic
142#14583028C2211yescharacteristic, complemented
143#14583023C2211yescharacteristic, complemented
144#14583007C2211yescharacteristic, complemented
145#14583004C2211yescharacteristic, complemented
146#14583004C2211yescharacteristic, complemented
147#14583004C2211yescharacteristic, complemented
148#14583003C2211yescharacteristic, complemented
149#14583001C2211yescharacteristic
150#14582999C2211yescharacteristic
151#14582999C2211yescharacteristic
152#14582997C2211yescharacteristic
153#14582996C2211yescharacteristic
154C4×Dic172C2211yescharacteristic, complemented
155#14582993C2211yescharacteristic, complemented
156C4×#10621885C2211yescharacteristic, complemented
157C4×#10621885C2211yescharacteristic, complemented
158C4×#10621885C2211yescharacteristic, complemented
159#14582990C2211yescharacteristic
160C4×#10621873C2211yescharacteristic
161SD16×Dic43C2211yescharacteristic
162SD16×Dic43C2211yescharacteristic
163C4×#10621884C2211yescharacteristic
164#14582986C2211yescharacteristic
165C4×#10621883C2211yescharacteristic
166C4×#10621883C2211yescharacteristic
167#14582984C2211yescharacteristic
168#14582974C2211yescharacteristic, complemented
169#14582973C2211yescharacteristic
170#14582969C2211yescharacteristic
171#14582964C2211yescharacteristic
172(C22⋊D43)⋊C8C2211yescharacteristic
173(C22⋊D43)⋊C8C2211yescharacteristic, complemented
174#14582958C2211yescharacteristic, complemented
175#14582954C2211yescharacteristic
176#14582940C2211yescharacteristic, complemented
177#14582939C2211yescharacteristic, complemented
178#106×D43C2211yescharacteristic
179#14582895C2211yescharacteristic
180#14582892C2211yescharacteristic
181C2×#13063248C2211yescharacteristic, complemented
182#103×D43C2211yescharacteristic
183#103×D43C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic
185#14582856C2211yescharacteristic, complemented
186#14582855C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic
188C43×#541C2211yescharacteristic, complemented
189C43×#520C2211yescharacteristic
190C43×#484C2211yescharacteristic, complemented
191C43×#483C2211yescharacteristic, complemented
192C43×#479C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic
194C43×#462C2211yescharacteristic, complemented
195C43×#461C2211yescharacteristic
196C43×#452C2211yescharacteristic
197C43×#452C2211yescharacteristic
198C43×#441C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic
200C4×Q16×C43C2211yescharacteristic, complemented
201C4×SD16×C43C2211yescharacteristic
202C43×#433C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621900C2311yescharacteristic
205C22×Dic86—21no—
206C22×Dic86C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208C2×Q8×D43C2311yescharacteristic
209C2×D4×D43C2311yescharacteristic
210C22×C4×D43—21no—
211#13063355—24no—
212#13063354—24no—
213C2×Dic172C2311yescharacteristic
214C2×Dic172C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621885C2311yescharacteristic
218C2×#10621885C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225SD16×D43—24no—
226C2×#10621877C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C22×C43⋊C8C2311yescharacteristic
229C2×C8×D43C2311yescharacteristic
230C2×C8×D43C2311yescharacteristic
231C2×C8×D43C2311yescharacteristic
232#13063325C2311yescharacteristic
233#13063324—21no—
234#13063324—21no—
235#13063324—21no—
236#13063324—21no—
237#13063324C2311yescharacteristic
238#13063324C2311yescharacteristic
239#13063324C2311yescharacteristic
240#13063323C2311yescharacteristic
241#13063323C2311yescharacteristic
242#13063323C2311yescharacteristic
243#13063320—21no—
244#13063320—21no—
245#13063320—21no—
246#13063320—21no—
247#13063320—21no—
248#13063320D411yescharacteristic
249#13063319—21no—
250#13063319—21no—
251#13063319—21no—
252#13063318—21no—
253#13063318—21no—
254#13063318D411yescharacteristic
255#13063317—21no—
256#13063317—21no—
257#13063316—21no—
258#13063316—21no—
259#13063316C2311yescharacteristic
260#13063315—21no—
261#13063315—21no—
262#13063315—21no—
263#13063315—21no—
264#13063315—21no—
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063315D411yescharacteristic
270#13063314C2311yescharacteristic
271#13063313—21no—
272#13063313C2311yescharacteristic
273#13063311—21no—
274#13063311—21no—
275#13063311D411yescharacteristic
276#13063310—21no—
277#13063310—21no—
278#13063310—21no—
279#13063310D411yescharacteristic
280#13063309—21no—
281#13063308—21no—
282#13063308—21no—
283#13063308—21no—
284#13063307—21no—
285#13063307—21no—
286#13063307D411yescharacteristic
287#13063306—21no—
288#13063305C2311yescharacteristic
289#13063305C2311yescharacteristic
290#13063305C2311yescharacteristic
291#13063304—21no—
292#13063304—21no—
293#13063304C2311yescharacteristic
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063303—21no—
301#13063303—21no—
302#13063303—21no—
303#13063303—21no—
304#13063303—21no—
305#13063303—21no—
306#13063303—21no—
307#13063303D411yescharacteristic
308#13063302—21no—
309#13063302—21no—
310#13063302—21no—
311#13063302—21no—
312#13063301C2311yescharacteristic
313#13063301C2311yescharacteristic
314#13063301C2311yescharacteristic
315#13063301C2311yescharacteristic
316#13063300C2311yescharacteristic
317#13063299—21no—
318#13063299C2311yescharacteristic
319#13063298D411yescharacteristic
320#13063297—21no—
321#13063297—21no—
322#13063295—21no—
323#13063293—21no—
324Q8×Dic43C2311yescharacteristic
325Q8×Dic43C2311yescharacteristic
326C4×Dic86—21no—
327C4×Dic86—21no—
328C4×Dic86—21no—
329C4×Dic86—21no—
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333C4×Dic86C2311yescharacteristic
334C4×Dic86C2311yescharacteristic
335C4×Dic86C2311yescharacteristic
336#13063290—21no—
337#13063290—21no—
338#13063290—21no—
339#13063290—21no—
340#13063290—21no—
341#13063290—21no—
342#13063290—21no—
343#13063290C2311yescharacteristic
344#13063290C2311yescharacteristic
345#13063290C2311yescharacteristic
346C4×D172—21no—
347C4×D172C2311yescharacteristic
348C4×D172C2311yescharacteristic
349D4×Dic43C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351#13063287—21no—
352#13063287C2311yescharacteristic
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43C2311yescharacteristic
357C4×C22⋊D43C2311yescharacteristic
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362#13063284C2311yescharacteristic
363#13063283—21no—
364#13063283—21no—
365#13063283—21no—
366#13063283C2311yescharacteristic
367#13063282—21no—
368#13063282—21no—
369#13063282—21no—
370#13063282—21no—
371#13063282C2311yescharacteristic
372#13063281—21no—
373#13063281—21no—
374#13063281—21no—
375C2×Dic43⋊C4—21no—
376C2×Dic43⋊C4—21no—
377C4⋊C4×D43—21no—
378C4⋊C4×D43C2311yescharacteristic
379C4⋊C4×D43C2311yescharacteristic
380C4⋊C4×D43C2311yescharacteristic
381C2×(C2×D43)⋊C4—21no—
382C2×(C2×D43)⋊C4—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#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
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
433C4×C43⋊C8C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
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—
482#41×C43—22no—
483#41×C43—41no—
484C2×Q8×C43C2411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×Q8×C43C2411yescharacteristic
487C2×D4×C43—21no—
488C2×D4×C43C2411yescharacteristic
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43C2411yescharacteristic
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43C2×D411yescharacteristic
498C2×C22⋊D43C2×D411yescharacteristic
499C22×Dic43—21no—
500C22×Dic43—21no—
501C22×Dic43—21no—
502C22×Dic43—21no—
503Q8×D43—22no—
504Q8×D43—22no—
505Q8×D43—41no—
506Q8×D43—41no—
507#10621900—22no—
508#10621900—41no—
509D4×D43—22no—
510D4×D43—41no—
511#10621898—82no—
512C2×D172—21no—
513C2×D172C2×D411yescharacteristic
514C2×D172C2411yescharacteristic
515C2×C4×D43—21no—
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—82no—
523C2×C4×D43C2×D411yescharacteristic
524C2×C4×D43C2×D411yescharacteristic
525C2×C4×D43C2411yescharacteristic
526C2×C4×D43C2411yescharacteristic
527C2×Dic86—22no—
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—41no—
536C2×Dic86—82no—
537C2×Dic86C2×D411yescharacteristic
538C2×Dic86C2411yescharacteristic
539C2×Dic86C2411yescharacteristic
540C2×Dic86C2411yescharacteristic
541Q16×C43—41no—
542Q16×C43—41no—
543SD16×C43—22no—
544SD16×C43—22no—
545C2×C8×C43C2411yescharacteristic
546C2×C8×C43C2411yescharacteristic
547C2×C8×C43C2411yescharacteristic
548C2×C8×C43C2411yescharacteristic
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43C2×D411yescharacteristic
561C4⋊C4×C43C2×D411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43C2×D411yescharacteristic
571C22⋊C4×C43C2×D411yescharacteristic
572C42×C43—21no—
573C42×C43—21no—
574C42×C43—21no—
575C42×C43—21no—
576C42×C43C2411yescharacteristic
577C42×C43C2411yescharacteristic
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43C2×D411yescharacteristic
583C22⋊Dic43C2×D411yescharacteristic
584#10621885—22no—
585#10621885—22no—
586#10621885—22no—
587#10621885—41no—
588#10621884—22no—
589#10621884—41no—
590#10621883—22no—
591#10621883#4114yescomplemented
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
609(C2×D43)⋊C4C2×D411yescharacteristic
610(C2×D43)⋊C4C2×D411yescharacteristic
611(C2×D43)⋊C4C2×D411yescharacteristic
612(C2×D43)⋊C4C2×D411yescharacteristic
613(C2×D43)⋊C4C2×D411yescharacteristic
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43C2×D411yescharacteristic
622C4⋊Dic43C2×D411yescharacteristic
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⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
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×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
681Dic172—22no—
682Dic172—41no—
683#10621873—22no—
684#10621873—41no—
685#10621872—22no—
686C8×D43—22no—
687C8×D43—41no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43C22×D411yescharacteristic
691C22×D43—21no—
692C22×D43—42no—
693C22×D43—42no—
694C22×D43—81no—
695C22×D43C22×D411yescharacteristic
696C22×D43C22×D411yescharacteristic
697Q8×C43—21no—
698Q8×C43—21no—
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—21no—
702Q8×C43—21no—
703D4×C43—21no—
704D4×C43—42no—
705D4×C43C2×#4112yes—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—42no—
716C2×C4×C43—81no—
717C2×C4×C43—81no—
718C2×C4×C43—81no—
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C2511yescharacteristic
725C22⋊D43—22no—
726C22⋊D43—22no—
727C22⋊D43—42no—
728C22⋊D43—42no—
729C22⋊D43—81no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—42no—
738C2×Dic43—42no—
739C2×Dic43—42no—
740C2×Dic43—81no—
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747D172—22no—
748D172—21no—
749D172—21no—
750D172—81no—
751C4×D43—22no—
752C4×D43—21no—
753C4×D43—21no—
754C4×D43—21no—
755C4×D43—21no—
756C4×D43—22no—
757C4×D43—42no—
758C4×D43—42no—
759C4×D43—42no—
760C4×D43—42no—
761C4×D43—81no—
762C4×D43—81no—
763C4×D43—81no—
764Dic86—21no—
765Dic86—22no—
766Dic86—21no—
767Dic86—21no—
768Dic86—21no—
769Dic86—21no—
770Dic86—42no—
771Dic86—42no—
772Dic86—42no—
773Dic86—42no—
774Dic86—42no—
775Dic86—81no—
776Dic86—81no—
777Dic86C2×#4112yes—
778C8×C43—21no—
779C8×C43—21no—
780C8×C43—21no—
781C8×C43—21no—
782C43⋊C8—21no—
783C43⋊C8—21no—
784C43⋊C8—21no—
785C43⋊C8C2×#4112yes—
786#61497—431nomaximal, Sylow
787C22×C43—22no—
788C22×C43—21no—
789C22×C43—21no—
790C22×C43—21no—
791C22×C43—41no—
792C22×C43—41no—
793C22×C43C23×D411yescharacteristic
794C2×D43—21no—
795C2×D43—21no—
796C2×D43—21no—
797C2×D43—21no—
798C2×D43—21no—
799C2×D43—41no—
800C2×D43—41no—
801C2×D43—41no—
802C2×D43—84no—
803C2×D43#57812yes—
804C4×C43—21no—
805C4×C43—21no—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43C22×#4111yescharacteristic
817C4×C43#58511yescharacteristic
818Dic43—22no—
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—21no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830Dic43#57712yes—
831#3523—431no—
832#3520—431no—
833#3398—431no—
834#3386—431no—
835#3364—431no—
836#3359—431no—
837#3353—431no—
838#3344—431no—
839#3344—431no—
840#3302—431no—
841#3299—431no—
842#3299—431no—
843#3298—431no—
844#3296—431no—
845#3296—431no—
846#3276—431no—
847#3266—431no—
848#3266—431no—
849#3178—431no—
850#3178—431no—
851#3170—431no—
852#3121—431no—
853#3121—431no—
854#3120—431no—
855#3120D4311yescharacteristic, complemented
856#3113—431no—
857#3110—431no—
858#2966—431no—
859#2947—431no—
860#2947—431no—
861C2×C4×SD16—431no—
862C2×C43—42no—
863C2×C43—41no—
864C2×C43D4×#4111yescharacteristic
865C2×C43C2×#57711yescharacteristic
866C2×C43C2×#57811yescharacteristic
867D43—22no—
868D43—41no—
869D43—81no—
870C2×#137—431no—
871C2×#137—431no—
872C22×SD16—431no—
873#557—431no—
874#557—431no—
875#557—861no—
876#556—431no—
877#556—431no—
878#556—861no—
879#554—431no—
880#554—431no—
881#552—431no—
882#552—431no—
883#552—861no—
884#552—861no—
885#552—861no—
886#551—861no—
887#551—861no—
888D4×Q8—431no—
889D4×Q8—431no—
890D4×Q8—431no—
891D4×Q8—431no—
892#548—861no—
893#547—431no—
894#547—431no—
895#546—431no—
896#546—431no—
897#542—431no—
898#542—431no—
899#541—431no—
900#541—861no—
901#541—861no—
902#541C2×D4311yescharacteristic, complemented
903#539—861no—
904#539—861no—
905#533—431no—
906#533—431no—
907#533—861no—
908#529—431no—
909#529—861no—
910#525—861no—
911C2×C22⋊Q8—861no—
912#520—431no—
913#520C2×D4311yescharacteristic
914#519—431no—
915#519—431no—
916C2×C4×Q8—431no—
917C2×C4×D4—431no—
918#501—431no—
919#501—431no—
920#500—431no—
921#497—431no—
922#497—431no—
923#494—431no—
924#488—431no—
925#488—431no—
926#487—431no—
927#487—431no—
928#487—431no—
929#487—431no—
930#485—431no—
931#485—431no—
932#484—431no—
933#484—431no—
934#484—431no—
935#484C2×D4311yescharacteristic, complemented
936#483—431no—
937#483—431no—
938#483—431no—
939#483C2×D4311yescharacteristic, complemented
940#482—431no—
941#482—431no—
942#479—431no—
943#479C2×D4311yescharacteristic, complemented
944#478—431no—
945#478C2×D4311yescharacteristic
946#477—431no—
947#477—431no—
948#475—431no—
949#475—431no—
950#475—431no—
951#475—431no—
952#474—431no—
953#474—431no—
954#470—431no—
955#470—431no—
956#468—431no—
957#468—431no—
958#467—431no—
959#467—431no—
960#467—431no—
961#467—431no—
962#467—431no—
963#467—431no—
964#465—431no—
965#465—431no—
966#464—431no—
967#464—431no—
968#464—431no—
969#464—431no—
970#462—431no—
971#462—431no—
972#462—431no—
973#462C2×D4311yescharacteristic, complemented
974#461—431no—
975#461—431no—
976#461—431no—
977#461C2×D4311yescharacteristic
978#452—431no—
979#452—431no—
980#452C2×D4311yescharacteristic
981#452C2×D4311yescharacteristic
982#451—431no—
983#451—431no—
984#451—431no—
985#451—431no—
986#450—431no—
987#450—431no—
988#448—431no—
989#448—431no—
990#446—431no—
991C8×Q8—431no—
992#441—431no—
993#441—431no—
994#441—431no—
995#441—431no—
996#441—431no—
997#441C2×D4311yescharacteristic, complemented
998#440—431no—
999#440—431no—
1000#440—431no—
1001#440—431no—
1002#440—431no—
1003#440C2×D4311yescharacteristic
1004C4×Q16—431no—
1005C4×Q16—431no—
1006C4×Q16—431no—
1007C4×Q16—431no—
1008C4×Q16—431no—
1009C4×Q16C2×D4311yescharacteristic, complemented
1010C4×SD16—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×SD16C2×D4311yescharacteristic
1020#436—431no—
1021#435—431no—
1022#435—431no—
1023C8×D4—431no—
1024C8×D4—431no—
1025C8×D4—431no—
1026#433—431no—
1027#433C2×D4311yescharacteristic, complemented
1028#432—431no—
1029#428—431no—
1030#428—431no—
1031C2×#106—431no—
1032#416—431no—
1033#416—431no—
1034C2×#103—431no—
1035C2×#103—431no—
1036C2×#103—431no—
1037C2×#102—431no—
1038#405—431no—
1039#405—431no—
1040C2×C4×C8—431no—
1041C43#6149711yescharacteristic, complemented, Sylow
1042C2×#41—431no—
1043C2×#41—861no—
1044C2×#41C22×D4311yescharacteristic
1045C22×Q8—431no—
1046C22×Q8—431no—
1047C22×Q8—431no—
1048C22×Q8—861no—
1049C22×D4—431no—
1050C23×C4—861no—
1051#137—864no—
1052#137—864no—
1053C2×Q16—431no—
1054C2×Q16—431no—
1055C2×Q16—431no—
1056C2×Q16—431no—
1057C2×Q16—431no—
1058C2×Q16—431no—
1059C2×Q16C22×D4311yescharacteristic
1060C2×Q16C22×D4311yescharacteristic
1061C2×SD16—431no—
1062C2×SD16—431no—
1063C2×SD16—431no—
1064C2×SD16—431no—
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16—864no—
1068C2×SD16C22×D4311yescharacteristic
1069C2×SD16C22×D4311yescharacteristic
1070C2×M16—431no—
1071C2×M16—431no—
1072C22×C8—431no—
1073C22×C8—431no—
1074C22×C8—431no—
1075C22×C8—431no—
1076C4⋊Q8—431no—
1077C4⋊Q8—431no—
1078C4⋊Q8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—431no—
1081C4⋊Q8—431no—
1082C4⋊Q8—431no—
1083C4⋊Q8—861no—
1084C4⋊Q8—861no—
1085C4⋊Q8—861no—
1086C4⋊Q8—861no—
1087C4⋊Q8C22×D4311yescharacteristic
1088#126—21no—
1089#126—21no—
1090#126—431no—
1091#126—431no—
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#125—21no—
1103#125—21no—
1104#125—431no—
1105#125—431no—
1106#125—861no—
1107#125—861no—
1108#125—861no—
1109#125—861no—
1110#125—861no—
1111#125—861no—
1112#125—861no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#125C22×D4311yescharacteristic
1120#124—431no—
1121#124—431no—
1122#124—431no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#123—431no—
1127#123—431no—
1128#123—861no—
1129#123—861no—
1130#123—861no—
1131#123—861no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138C22⋊Q8—431no—
1139C22⋊Q8—431no—
1140C22⋊Q8—431no—
1141C22⋊Q8—431no—
1142C22⋊Q8—431no—
1143C22⋊Q8—431no—
1144C22⋊Q8—431no—
1145C22⋊Q8—431no—
1146C22⋊Q8—431no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
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⋊Q8C22×D4311yescharacteristic
1167C22⋊Q8C22×D4311yescharacteristic
1168#121—431no—
1169#121—431no—
1170#121—431no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#120—861no—
1175#120—861no—
1176C4×Q8—431no—
1177C4×Q8—431no—
1178C4×Q8—431no—
1179C4×Q8—431no—
1180C4×Q8—431no—
1181C4×Q8—431no—
1182C4×Q8—431no—
1183C4×Q8—431no—
1184C4×Q8—431no—
1185C4×Q8—431no—
1186C4×Q8—431no—
1187C4×Q8—861no—
1188C4×Q8—861no—
1189C4×Q8—861no—
1190C4×Q8—861no—
1191C4×Q8—861no—
1192C4×Q8—861no—
1193C4×Q8—861no—
1194C4×Q8—861no—
1195C4×Q8—861no—
1196C4×Q8—861no—
1197C4×Q8—861no—
1198C4×Q8C22×D4311yescharacteristic
1199C4×Q8C22×D4311yescharacteristic
1200C4×Q8C22×D4311yescharacteristic
1201C4×Q8C22×D4311yescharacteristic
1202C4×D4—21no—
1203C4×D4—21no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4C22×D4311yescharacteristic
1221C4×D4C22×D4311yescharacteristic
1222#117—21no—
1223#117—431no—
1224#117—431no—
1225#117—431no—
1226#117—861no—
1227#117—861no—
1228#117—861no—
1229#117—861no—
1230#117—861no—
1231#117—861no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117C22×D4311yescharacteristic
1237C2×C4⋊C4—21no—
1238C2×C4⋊C4—431no—
1239C2×C4⋊C4—431no—
1240C2×C4⋊C4—431no—
1241C2×C4⋊C4—861no—
1242C2×C4⋊C4—861no—
1243C2×C4⋊C4—861no—
1244C2×C4⋊C4C22×D4311yescharacteristic
1245C2×C22⋊C4—861no—
1246C2×C22⋊C4—861no—
1247C2×C22⋊C4—861no—
1248C2×C42—431no—
1249C2×C42—861no—
1250#107—431no—
1251#107—431no—
1252#107—431no—
1253#107—431no—
1254#107—431no—
1255#107—431no—
1256#107C22×D4311yescharacteristic
1257#107C22×D4311yescharacteristic
1258#106—431no—
1259#106—431no—
1260#106—431no—
1261#106—431no—
1262#106—431no—
1263#106—431no—
1264#106C22×D4311yescharacteristic
1265#106C22×D4311yescharacteristic
1266C4⋊C8—431no—
1267C4⋊C8—431no—
1268C4⋊C8—431no—
1269C4⋊C8—431no—
1270C4⋊C8C22×D4311yescharacteristic
1271C4⋊C8C22×D4311yescharacteristic
1272#103—431no—
1273#103—431no—
1274#103—431no—
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#103C22×D4311yescharacteristic
1291#103C22×D4311yescharacteristic
1292#103C22×D4311yescharacteristic
1293#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
1295#103C22×D4311yescharacteristic
1296#102—431no—
1297#102—431no—
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102C22×D4311yescharacteristic
1303#102C22×D4311yescharacteristic
1304C22⋊C8—431no—
1305C22⋊C8—431no—
1306C22⋊C8—431no—
1307C22⋊C8—431no—
1308C22⋊C8C22×D4311yescharacteristic
1309C22⋊C8C22×D4311yescharacteristic
1310#97—431no—
1311#97—431no—
1312#97—431no—
1313#97C22×D4311yescharacteristic
1314C4×C8—431no—
1315C4×C8—431no—
1316C4×C8—431no—
1317C4×C8—431no—
1318C4×C8—431no—
1319C4×C8C22×D4311yescharacteristic
1320C24—861no—
1321#41—22no—
1322#41—41no—
1323#41—862no—
1324#41—3442no—
1325#41—1721no—
1326C2×Q8—431no—
1327C2×Q8—431no—
1328C2×Q8—431no—
1329C2×Q8—431no—
1330C2×Q8—861no—
1331C2×Q8—861no—
1332C2×Q8—861no—
1333C2×Q8—861no—
1334C2×Q8—861no—
1335C2×Q8—862no—
1336C2×Q8—861no—
1337C2×Q8—861no—
1338C2×Q8—862no—
1339C2×Q8—862no—
1340C2×Q8—3442no—
1341C2×Q8—1721no—
1342C2×Q8—1721no—
1343C2×Q8—1721no—
1344C2×Q8C23×D4311yescharacteristic
1345C2×Q8C23×D4311yescharacteristic
1346C2×Q8C23×D4311yescharacteristic
1347C2×D4—21no—
1348C2×D4—431no—
1349C2×D4—431no—
1350C2×D4—431no—
1351C2×D4—431no—
1352C2×D4—861no—
1353C2×D4—861no—
1354C2×D4—862no—
1355C2×D4—861no—
1356C2×D4—861no—
1357C2×D4—1721no—
1358C2×D4C23×D4311yescharacteristic
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—431no—
1364C22×C4—431no—
1365C22×C4—431no—
1366C22×C4—431no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—861no—
1371C22×C4—861no—
1372C22×C4—861no—
1373C22×C4—861no—
1374C22×C4—861no—
1375C22×C4—861no—
1376C22×C4—861no—
1377C22×C4—861no—
1378C22×C4—3442no—
1379C22×C4C23×D4311yescharacteristic
1380Q16—41no—
1381Q16—41no—
1382Q16—862no—
1383Q16—862no—
1384Q16—862no—
1385Q16—862no—
1386Q16—1721no—
1387Q16—1721no—
1388SD16—22no—
1389SD16—22no—
1390SD16—434no—
1391SD16—862no—
1392SD16—862no—
1393SD16—862no—
1394SD16—1721no—
1395SD16—1721no—
1396M16—862no—
1397M16—862no—
1398C2×C8—431no—
1399C2×C8—431no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—862no—
1403C2×C8—1721no—
1404C2×C8—1721no—
1405C2×C8—1721no—
1406C2×C8C23×D4311yescharacteristic
1407C2×C8C23×D4311yescharacteristic
1408C2×C8C23×D4311yescharacteristic
1409C2×C8C23×D4311yescharacteristic
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—431no—
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⋊C4D4×D4311yescharacteristic
1467C4⋊C4D4×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C4⋊C4C23×D4311yescharacteristic
1471C4⋊C4C23×D4311yescharacteristic
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—431no—
1477C22⋊C4—431no—
1478C22⋊C4—431no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—861no—
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⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4D4×D4311yescharacteristic
1505C22⋊C4D4×D4311yescharacteristic
1506C42—21no—
1507C42—21no—
1508C42—21no—
1509C42—21no—
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—
1526C42C23×D4311yescharacteristic
1527C42C23×D4311yescharacteristic
1528C23—21no—
1529C23—431no—
1530C23—431no—
1531C23—861no—
1532C23—3441no—
1533C23—1722no—
1534C23—1722no—
1535C23C2×D4×D4311yescharacteristic
1536Q8—21no—
1537Q8—21no—
1538Q8—21no—
1539Q8—21no—
1540Q8—21no—
1541Q8—21no—
1542Q8—432no—
1543Q8—862no—
1544Q8—861no—
1545Q8—861no—
1546Q8—861no—
1547Q8—861no—
1548Q8—861no—
1549Q8—3441no—
1550Q8—3441no—
1551Q8—1722no—
1552Q8—1722no—
1553Q8—1722no—
1554Q8—1722no—
1555Q8—1722no—
1556D4—21no—
1557D4—42no—
1558D4—862no—
1559D4—862no—
1560D4—862no—
1561D4—861no—
1562D4—861no—
1563D4—3441no—
1564D4—3441no—
1565D4—1722no—
1566D4—1722no—
1567D4#41×D4312yes—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—42no—
1578C2×C4—81no—
1579C2×C4—81no—
1580C2×C4—81no—
1581C2×C4—431no—
1582C2×C4—431no—
1583C2×C4—431no—
1584C2×C4—431no—
1585C2×C4—431no—
1586C2×C4—431no—
1587C2×C4—862no—
1588C2×C4—862no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—861no—
1595C2×C4—861no—
1596C2×C4—861no—
1597C2×C4—861no—
1598C2×C4—861no—
1599C2×C4—861no—
1600C2×C4—3441no—
1601C2×C4—3441no—
1602C2×C4—3441no—
1603C2×C4—3441no—
1604C2×C4—1722no—
1605C2×C4—1722no—
1606C2×C4—1722no—
1607C2×C4—1722no—
1608C2×C4—1722no—
1609C2×C4—1722no—
1610C2×C4—1722no—
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C2×D4×D4311yescharacteristic
1614C2×C4C2×D4×D4311yescharacteristic
1615C2×C4C2×D4×D4311yescharacteristic
1616C2×C4C24×D4311yescharacteristic
1617C8—21no—
1618C8—21no—
1619C8—21no—
1620C8—21no—
1621C8—432no—
1622C8—861no—
1623C8—861no—
1624C8—861no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—22no—
1629C22—41no—
1630C22—41no—
1631C22—432no—
1632C22—861no—
1633C22—861no—
1634C22—861no—
1635C22—861no—
1636C22—861no—
1637C22—3444no—
1638C22—1721no—
1639C22—1721no—
1640C22—1721no—
1641C22C22×D4×D4311yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—432no—
1655C4—861no—
1656C4—861no—
1657C4—861no—
1658C4—861no—
1659C4—861no—
1660C4—862no—
1661C4—1721no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4—1721no—
1667C4C2×#41×D4311yescharacteristic
1668C4#1458373511yescharacteristic
1669C2—41no—
1670C2—42no—
1671C2—862no—
1672C2—3441no—
1673C2—1721no—
1674C2#1914807811yescharacteristic
1675C2#577×D4311yescharacteristic
1676C2#578×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3120C2
socleC22×C43C23×D4
prime radical#19148634C2
hypercenter#3120D43
hypocenterC43#61497
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. #19148687C2semidirect
3. #19147621C2semidirect
4. #19147511C2semidirect
5. #19147283C2semidirect
6. #19147232C2semidirect
7. #19147172C2semidirect
8. #19147057C2semidirect
9. #19147053C2semidirect
10. #19146505C2semidirect
11. #19146474C2semidirect
12. #19146469C2semidirect
13. #19146458C2semidirect
14. #19146427C2semidirect
15. #19146423C2semidirect
16. #19146239C2semidirect
17. #19146111C2semidirect
18. #19146103C2semidirect
19. #19145269C2semidirect
20. #19145265C2semidirect
21. #19145178C2semidirect
22. #19144830C2semidirect
23. #19144826C2semidirect
24. #19144805C2semidirect
25. #19144723C2semidirect
26. #19144692C2semidirect
27. #19143568C2semidirect
28. #19143435C2semidirect
29. #19143434C2semidirect
30. C4×SD16×D43C2semidirect
31. C43×#3120C2semidirect
36. #14583626C22semidirect
37. #14583624C22semidirect
39. #14583620C22semidirect
53. #14583562C22semidirect
62. #14583507C22semidirect
74. #14583376C22semidirect
75. #14583375C22semidirect
78. #14583309C22semidirect
79. #14583306C22semidirect
80. #14583303C22semidirect
83. #14583277C22semidirect
86. #14583249C22semidirect
87. #14583248C22semidirect
88. #14583248C22semidirect
89. #14583248C22semidirect
90. #14583241C22semidirect
91. #14583238C22semidirect
94. #14583233C22semidirect
96. #14583231C22semidirect
100. #14583209C22semidirect
102. #14583195C22semidirect
103. #14583193C22semidirect
104. #14583185C22semidirect
105. #14583183C22semidirect
106. #14583182C22semidirect
107. #14583182C22semidirect
110. #14583156C22semidirect
111. #14583155C22semidirect
117. #14583138C22semidirect
119. #14583137C22semidirect
126. #14583108C22semidirect
127. #14583108C22semidirect
128. #14583107C22semidirect
134. #14583057C22semidirect
137. #14583053C22semidirect
142. #14583028C22semidirect
143. #14583023C22semidirect
144. #14583007C22semidirect
145. #14583004C22semidirect
146. #14583004C22semidirect
147. #14583004C22semidirect
148. #14583003C22semidirect
154. C4×Dic172C22semidirect
155. #14582993C22semidirect
156. C4×#10621885C22semidirect
157. C4×#10621885C22semidirect
158. C4×#10621885C22semidirect
168. #14582974C22semidirect
173. (C22⋊D43)⋊C8C22semidirect
174. #14582958C22semidirect
176. #14582940C22semidirect
177. #14582939C22semidirect
181. C2×#13063248C22semidirect
183. #103×D43C22semidirect
185. #14582856C22semidirect
186. #14582855C22semidirect
188. C43×#541C22semidirect
190. C43×#484C22semidirect
191. C43×#483C22semidirect
192. C43×#479C22semidirect
194. C43×#462C22semidirect
198. C43×#441C22semidirect
200. C4×Q16×C43C22semidirect
202. C43×#433C22semidirect
591. #10621883#41semidirect
855. #3120D43semidirect
902. #541C2×D43semidirect
935. #484C2×D43semidirect
939. #483C2×D43semidirect
943. #479C2×D43semidirect
973. #462C2×D43semidirect
997. #441C2×D43semidirect
1009. C4×Q16C2×D43semidirect
1027. #433C2×D43semidirect
1041. C43#61497semidirect

Maximal subgroups

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

subgroupindex
#191486872
#191486342
#191476212
#191475112
#191472832
#191472322
#191471722
#191470572
#191470532
#191465052
#191464742
#191464692
#191464582
#191464272
#191464232
#191462392
#191461112
#191461032
#191452692
#191452652
#191451782
#191448302
#191448262
#191448052
#191447232
#191446922
#191435682
#191434352
#191434342
C4×SD16×D432
C43×#31202
#6149743