Finite Group Databasebeta

← #25979536

Subgroups — #25979536

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#19148642C211yesmaximal, characteristic
3#19147623C211yesmaximal, characteristic, complemented
4#19147513C211yesmaximal, characteristic, complemented
5#19147277C211yesmaximal, characteristic, complemented
6#19147234C211yesmaximal, characteristic, complemented
7#19147174C211yesmaximal, characteristic, complemented
8#19147049C211yesmaximal, characteristic, complemented
9#19147045C211yesmaximal, characteristic, complemented
10#19146507C211yesmaximal, characteristic, complemented
11#19146470C211yesmaximal, characteristic, complemented
12#19146466C211yesmaximal, characteristic, complemented
13#19146455C211yesmaximal, characteristic, complemented
14#19146429C211yesmaximal, characteristic, complemented
15#19146425C211yesmaximal, characteristic, complemented
16#19146238C211yesmaximal, characteristic, complemented
17#19146112C211yesmaximal, characteristic, complemented
18#19146104C211yesmaximal, characteristic, complemented
19#19145259C211yesmaximal, characteristic, complemented
20#19145178C211yesmaximal, characteristic, complemented
21#19144822C211yesmaximal, characteristic, complemented
22#19144818C211yesmaximal, characteristic, complemented
23#19144807C211yesmaximal, characteristic, complemented
24#19144803C211yesmaximal, characteristic, complemented
25#19144723C211yesmaximal, characteristic, complemented
26#19144692C211yesmaximal, characteristic, complemented
27#19143566C211yesmaximal, characteristic, complemented
28#19143440C211yesmaximal, characteristic, complemented
29#19143433C211yesmaximal, characteristic, complemented
30C4×SD16×D43C211yesmaximal, characteristic, complemented
31C43×#3178C211yesmaximal, characteristic, complemented
32C2×#13063358C2211yescharacteristic
33C2×#13063357C2211yescharacteristic
34C2×SD16×D43C2211yescharacteristic
35#14583626—21no—
36#14583626C2211yescharacteristic, complemented
37#14583624C2211yescharacteristic, complemented
38#14583620C2211yescharacteristic, complemented
39#14583618C2211yescharacteristic
40#14583616—21no—
41#14583610C2211yescharacteristic
42#14583607C2211yescharacteristic
43#14583587C2211yescharacteristic
44#14583585—21no—
45#14583585—21no—
46#14583583C2211yescharacteristic
47#14583581—21no—
48#14583579—21no—
49#14583574—21no—
50#14583564C2211yescharacteristic
51#14583564C2211yescharacteristic
52#14583562C2211yescharacteristic
53#14583562C2211yescharacteristic, complemented
54#14583557—21no—
55#14583551C2211yescharacteristic
56#14583549C2211yescharacteristic
57#14583546C2211yescharacteristic
58#14583542C2211yescharacteristic
59#14583514C2211yescharacteristic
60#14583508—21no—
61#14583507C2211yescharacteristic, complemented
62#14583506—21no—
63#14583495—21no—
64#14583492—21no—
65#14583455—21no—
66#14583453C2211yescharacteristic
67#14583453C2211yescharacteristic
68#14583432—21no—
69#14583427C2211yescharacteristic
70#14583407—21no—
71C22⋊Q8×D43—21no—
72#14583381C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583376C2211yescharacteristic, complemented
75#14583375C2211yescharacteristic, complemented
76C4×Q8×D43C2211yescharacteristic
77C4×D4×D43C2211yescharacteristic
78#14583306C2211yescharacteristic, complemented
79#14583303C2211yescharacteristic, complemented
80#14583290C2211yescharacteristic
81#14583277C2211yescharacteristic, complemented
82#14583252C2211yescharacteristic
83#14583248C2211yescharacteristic, complemented
84#14583248C2211yescharacteristic, complemented
85#14583248C2211yescharacteristic, complemented
86#14583242C2211yescharacteristic, complemented
87#14583237C2211yescharacteristic, complemented
88#14583236C2211yescharacteristic
89#14583233C2211yescharacteristic
90#14583233C2211yescharacteristic, complemented
91#14583232C2211yescharacteristic, complemented
92#14583231C2211yescharacteristic
93#14583231C2211yescharacteristic, complemented
94#14583228C2211yescharacteristic
95#14583227C2211yescharacteristic, complemented
96#14583222C2211yescharacteristic
97#14583220C2211yescharacteristic
98#14583208C2211yescharacteristic, complemented
99#14583203C2211yescharacteristic, complemented
100#14583198C2211yescharacteristic
101#14583196C2211yescharacteristic
102#14583193C2211yescharacteristic, complemented
103#14583191C2211yescharacteristic, complemented
104#14583183C2211yescharacteristic, complemented
105#14583182C2211yescharacteristic, complemented
106#14583182C2211yescharacteristic, complemented
107#14583181C2211yescharacteristic, complemented
108#14583178C2211yescharacteristic
109#14583177C2211yescharacteristic
110#14583158C2211yescharacteristic, complemented
111#14583142C2211yescharacteristic
112#14583141C2211yescharacteristic
113#14583139C2211yescharacteristic
114#14583139C2211yescharacteristic
115#14583139C2211yescharacteristic, complemented
116#14583137C2211yescharacteristic
117#14583127C2211yescharacteristic
118#14583120C2211yescharacteristic
119#14583119C2211yescharacteristic
120#14583118C2211yescharacteristic
121#14583118C2211yescharacteristic
122#14583108C2211yescharacteristic, complemented
123#14583107C2211yescharacteristic, complemented
124#14583107C2211yescharacteristic, complemented
125#14583106C2211yescharacteristic, complemented
126#14583103C2211yescharacteristic
127#14583103C2211yescharacteristic
128#14583102C2211yescharacteristic
129#14583101C2211yescharacteristic
130#14583064C2211yescharacteristic
131#14583060C2211yescharacteristic
132#14583059C2211yescharacteristic
133#14583059C2211yescharacteristic
134#14583056C2211yescharacteristic
135#14583056C2211yescharacteristic, complemented
136#14583054C2211yescharacteristic, complemented
137#14583053C2211yescharacteristic
138#14583051C2211yescharacteristic
139#14583048C2211yescharacteristic
140#14583037C2211yescharacteristic
141#14583036C2211yescharacteristic
142#14583027C2211yescharacteristic, complemented
143C8×Dic86C2211yescharacteristic, complemented
144#14583007C2211yescharacteristic, complemented
145#14583007C2211yescharacteristic, complemented
146#14583006C2211yescharacteristic, complemented
147#14583004C2211yescharacteristic, complemented
148#14583004C2211yescharacteristic, complemented
149#14583001C2211yescharacteristic
150#14583001C2211yescharacteristic
151#14582999C2211yescharacteristic
152#14582998C2211yescharacteristic
153#14582997C2211yescharacteristic
154C4×Dic172C2211yescharacteristic, complemented
155C4×Dic172C2211yescharacteristic, complemented
156C4×#10621885C2211yescharacteristic, complemented
157C4×#10621885C2211yescharacteristic, complemented
158#14582991C2211yescharacteristic, complemented
159#14582990C2211yescharacteristic
160C4×#10621873C2211yescharacteristic
161C4×#10621873C2211yescharacteristic
162SD16×Dic43C2211yescharacteristic
163C4×#10621884C2211yescharacteristic
164#14582986C2211yescharacteristic
165C4×#10621883C2211yescharacteristic
166#14582984C2211yescharacteristic
167#14582984C2211yescharacteristic
168#14582975C2211yescharacteristic, complemented
169#14582972C2211yescharacteristic
170#14582968C2211yescharacteristic
171C8×D172C2211yescharacteristic
172C8×C22⋊D43C2211yescharacteristic
173C8×C22⋊D43C2211yescharacteristic, complemented
174#14582961C2211yescharacteristic, complemented
175#14582960C2211yescharacteristic, complemented
176#14582954C2211yescharacteristic
177#14582941C2211yescharacteristic, complemented
178#14582940C2211yescharacteristic, complemented
179#106×D43C2211yescharacteristic
180#14582896C2211yescharacteristic
181#14582894C2211yescharacteristic
182C2×#13063250C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic
184#103×D43C2211yescharacteristic, complemented
185#102×D43C2211yescharacteristic
186#14582853C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#541C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#497C2211yescharacteristic
192C43×#488C2211yescharacteristic
193C43×#487C2211yescharacteristic, complemented
194C43×#470C2211yescharacteristic, complemented
195C43×#468C2211yescharacteristic
196C43×#467C2211yescharacteristic, complemented
197C43×#465C2211yescharacteristic
198C43×#441C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic
200C4×Q16×C43C2211yescharacteristic, complemented
201C4×SD16×C43C2211yescharacteristic
202C43×#405C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621900—21no—
206C22×Dic86C2311yescharacteristic
207C2×Q8×D43—21no—
208C2×Q8×D43C2311yescharacteristic
209C2×Q8×D43C2311yescharacteristic
210C2×D4×D43C2311yescharacteristic
211C22×C4×D43—21no—
212#13063358—24no—
213#13063357—24no—
214C2×Dic172C2311yescharacteristic
215C2×Dic172C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621885C2311yescharacteristic
218C2×#10621885C2311yescharacteristic
219C2×#10621885C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621873C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225C2×#10621884C2311yescharacteristic
226SD16×D43—24no—
227C2×#10621872C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229C2×C8×D43C2311yescharacteristic
230C2×C8×D43C2311yescharacteristic
231#13063324—21no—
232#13063324—21no—
233#13063324—21no—
234#13063324—21no—
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063324C2311yescharacteristic
238#13063323C2311yescharacteristic
239#13063323C2311yescharacteristic
240#13063323C2311yescharacteristic
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320D411yescharacteristic
245#13063319—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318D411yescharacteristic
252#13063317—21no—
253#13063316—21no—
254#13063316—21no—
255#13063316—21no—
256#13063316C2311yescharacteristic
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315—21no—
261#13063315—21no—
262#13063315—21no—
263#13063315—21no—
264#13063315—21no—
265#13063315—21no—
266#13063315D411yescharacteristic
267#13063312C2311yescharacteristic
268#13063311—21no—
269#13063311—21no—
270#13063311D411yescharacteristic
271#13063310—21no—
272#13063310—21no—
273#13063310D411yescharacteristic
274#13063308—21no—
275#13063307—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307D411yescharacteristic
281#13063306—21no—
282#13063305—21no—
283#13063305C2311yescharacteristic
284#13063305C2311yescharacteristic
285#13063305C2311yescharacteristic
286#13063305C2311yescharacteristic
287#13063304—21no—
288#13063303—21no—
289#13063303—21no—
290#13063303—21no—
291#13063303—21no—
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063303D411yescharacteristic
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063301—21no—
303#13063301—21no—
304#13063301—21no—
305#13063301C2311yescharacteristic
306#13063301C2311yescharacteristic
307#13063301C2311yescharacteristic
308#13063298—21no—
309#13063298—21no—
310#13063298D411yescharacteristic
311#13063296—21no—
312#13063296C2311yescharacteristic
313#13063295—21no—
314#13063293—21no—
315Q8×Dic43C2311yescharacteristic
316Q8×Dic43C2311yescharacteristic
317Q8×Dic43C2311yescharacteristic
318C4×Dic86—21no—
319C4×Dic86—21no—
320C4×Dic86—21no—
321C4×Dic86—21no—
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326C4×Dic86C2311yescharacteristic
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329#13063290—21no—
330#13063290—21no—
331#13063290—21no—
332#13063290—21no—
333#13063290—21no—
334#13063290—21no—
335#13063290—21no—
336#13063290C2311yescharacteristic
337#13063290C2311yescharacteristic
338C4×D172—21no—
339C4×D172C2311yescharacteristic
340C4×D172C2311yescharacteristic
341C4×D172C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343#13063287—21no—
344#13063287—21no—
345#13063287—21no—
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348C4×C22⋊D43—21no—
349C4×C22⋊D43C2311yescharacteristic
350C4×C22⋊D43C2311yescharacteristic
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357#13063284C2311yescharacteristic
358#13063283—21no—
359#13063283—21no—
360#13063283—21no—
361#13063283—21no—
362#13063283C2311yescharacteristic
363#13063282—21no—
364#13063282—21no—
365#13063282—21no—
366#13063282—21no—
367#13063282C2311yescharacteristic
368#13063281—21no—
369#13063281—21no—
370#13063281—21no—
371C2×C4⋊Dic43C2311yescharacteristic
372C4⋊C4×D43—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C4⋊C4×D43C2311yescharacteristic
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C42×D43—21no—
383C42×D43C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
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
426C22⋊(C43⋊C8)C2311yescharacteristic
427C22⋊(C43⋊C8)C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432#13063236C2311yescharacteristic
433#13063235C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×M16×C43C2311yescharacteristic
443C22×C8×C43C2311yescharacteristic
444C4⋊Q8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446#126×C43—21no—
447#126×C43—21no—
448#126×C43—21no—
449#125×C43—21no—
450#125×C43—21no—
451#125×C43C2311yescharacteristic
452#124×C43—21no—
453#124×C43C2311yescharacteristic
454#123×C43—21no—
455C22⋊Q8×C43—21no—
456C22⋊Q8×C43C2311yescharacteristic
457C22⋊Q8×C43C2311yescharacteristic
458C22⋊Q8×C43C2311yescharacteristic
459#121×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×Q8×C43C2311yescharacteristic
462C4×Q8×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464#117×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×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
477#97×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C2×Q8×C43—21no—
483C2×Q8×C43C2411yescharacteristic
484C2×Q8×C43C2411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43C2411yescharacteristic
488C22×C4×C43—21no—
489C22×C4×C43C2411yescharacteristic
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43C2×D411yescharacteristic
494C2×C22⋊D43C2×D411yescharacteristic
495C22×Dic43—21no—
496C22×Dic43—21no—
497C22×Dic43—21no—
498#10621902—22no—
499#10621902—41no—
500Q8×D43—22no—
501Q8×D43—22no—
502Q8×D43—41no—
503Q8×D43—41no—
504Q8×D43—82no—
505#10621900—82no—
506D4×D43—22no—
507D4×D43—41no—
508#10621898—22no—
509#10621898—41no—
510C2×D172—21no—
511C2×D172C2×D411yescharacteristic
512C2×D172C2411yescharacteristic
513C2×C4×D43—21no—
514C2×C4×D43—21no—
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—21no—
523C2×C4×D43—21no—
524C2×C4×D43—82no—
525C2×C4×D43C2×D411yescharacteristic
526C2×C4×D43C2×D411yescharacteristic
527C2×C4×D43C2411yescharacteristic
528C2×C4×D43C2411yescharacteristic
529C2×Dic86—22no—
530C2×Dic86—21no—
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86—41no—
537C2×Dic86C2×D411yescharacteristic
538C2×Dic86C2411yescharacteristic
539C2×Dic86C2411yescharacteristic
540C2×Dic86C2411yescharacteristic
541Q16×C43—22no—
542Q16×C43—41no—
543SD16×C43—22no—
544SD16×C43—41no—
545M16×C43—22no—
546C2×C8×C43—41no—
547C2×C8×C43C2411yescharacteristic
548C2×C8×C43C2411yescharacteristic
549C2×C8×C43C2411yescharacteristic
550C2×C8×C43C2411yescharacteristic
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×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43C2×D411yescharacteristic
563C4⋊C4×C43C2×D411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
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×C43—21no—
579C42×C43—21no—
580C42×C43C2411yescharacteristic
581C42×C43C2411yescharacteristic
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43C2×D411yescharacteristic
588C22⋊Dic43C2×D411yescharacteristic
589#10621885—22no—
590#10621885—41no—
591#10621885—41no—
592#10621885—41no—
593#10621884—22no—
594#10621884—22no—
595#10621883—22no—
596#10621883—41no—
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)⋊C4—21no—
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
614(C2×D43)⋊C4C2×D411yescharacteristic
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43C2×D411yescharacteristic
625C4⋊Dic43C2×D411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
627C4⋊Dic43C2411yescharacteristic
628C4⋊Dic43C2411yescharacteristic
629C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
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×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681Dic172—22no—
682Dic172—22no—
683#10621873—22no—
684#10621873#4114yescomplemented
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—
703Q8×C43—81no—
704D4×C43—21no—
705D4×C43—21no—
706D4×C43—81no—
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—21no—
716C2×C4×C43—81no—
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C2511yescharacteristic
723C22⋊D43—22no—
724C22⋊D43—22no—
725C22⋊D43—42no—
726C22⋊D43—42no—
727C22⋊D43—81no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—42no—
736C2×Dic43—42no—
737C2×Dic43—81no—
738C2×Dic43C22×D411yescharacteristic
739C2×Dic43C22×D411yescharacteristic
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744D172—22no—
745D172—21no—
746D172—42no—
747D172C2×#4112yes—
748C4×D43—22no—
749C4×D43—21no—
750C4×D43—21no—
751C4×D43—21no—
752C4×D43—21no—
753C4×D43—22no—
754C4×D43—42no—
755C4×D43—42no—
756C4×D43—42no—
757C4×D43—42no—
758C4×D43—42no—
759C4×D43—42no—
760C4×D43—81no—
761C4×D43—81no—
762C4×D43—81no—
763C4×D43—81no—
764C4×D43—81no—
765Dic86—21no—
766Dic86—22no—
767Dic86—21no—
768Dic86—21no—
769Dic86—21no—
770Dic86—21no—
771Dic86—42no—
772Dic86—42no—
773Dic86—42no—
774Dic86—42no—
775Dic86—42no—
776Dic86—81no—
777Dic86C2×#4112yes—
778C8×C43—21no—
779C8×C43—21no—
780C8×C43—21no—
781C8×C43C2×#4112yes—
782C43⋊C8—21no—
783C43⋊C8—21no—
784C43⋊C8—21no—
785C43⋊C8—21no—
786#61497—431nomaximal, Sylow
787C22×C43—21no—
788C22×C43—21no—
789C22×C43—21no—
790C22×C43—41no—
791C22×C43—41no—
792C22×C43—41no—
793C22×C43C23×D411yescharacteristic
794C2×D43—21no—
795C2×D43—21no—
796C2×D43—22no—
797C2×D43—21no—
798C2×D43—21no—
799C2×D43—21no—
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#3178D4311yescharacteristic, complemented
851#3170—431no—
852#3121—431no—
853#3121—431no—
854#3120—431no—
855#3120—431no—
856#3113—431no—
857#3110—431no—
858#2966—431no—
859#2947—431no—
860#2947—431no—
861C2×C4×SD16—431no—
862C2×C43—41no—
863C2×C43—81no—
864C2×C43D4×#4111yescharacteristic
865C2×C43C2×#57711yescharacteristic
866C2×C43C2×#57811yescharacteristic
867D43—22no—
868D43—41no—
869D43—42no—
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#542C2×D4311yescharacteristic
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#520—431no—
914#519—431no—
915#519—431no—
916C2×C4×Q8—431no—
917C2×C4×D4—431no—
918#501—431no—
919#501C2×D4311yescharacteristic, complemented
920#500—431no—
921#497—431no—
922#497C2×D4311yescharacteristic
923#494—431no—
924#488—431no—
925#488C2×D4311yescharacteristic
926#487—431no—
927#487—431no—
928#487—431no—
929#487C2×D4311yescharacteristic, complemented
930#485—431no—
931#485—431no—
932#484—431no—
933#484—431no—
934#484—431no—
935#484—431no—
936#483—431no—
937#483—431no—
938#483—431no—
939#483—431no—
940#482—431no—
941#482—431no—
942#479—431no—
943#479—431no—
944#478—431no—
945#478—431no—
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#470C2×D4311yescharacteristic, complemented
956#468—431no—
957#468C2×D4311yescharacteristic
958#467—431no—
959#467—431no—
960#467—431no—
961#467—431no—
962#467—431no—
963#467C2×D4311yescharacteristic, complemented
964#465—431no—
965#465C2×D4311yescharacteristic
966#464—431no—
967#464—431no—
968#464—431no—
969#464—431no—
970#462—431no—
971#462—431no—
972#462—431no—
973#462—431no—
974#461—431no—
975#461—431no—
976#461—431no—
977#461—431no—
978#452—431no—
979#452—431no—
980#452—431no—
981#452—431no—
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#433—431no—
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#405C2×D4311yescharacteristic, complemented
1040C2×C4×C8—431no—
1041C43#6149711yescharacteristic, complemented, Sylow
1042C2×#41—431no—
1043C2×#41—431no—
1044C2×#41—861no—
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×M16C22×D4311yescharacteristic
1072C22×C8—431no—
1073C22×C8—431no—
1074C22×C8—431no—
1075C22×C8C22×D4311yescharacteristic
1076C4⋊Q8—431no—
1077C4⋊Q8—431no—
1078C4⋊Q8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—431no—
1081C4⋊Q8—431no—
1082C4⋊Q8—861no—
1083C4⋊Q8—861no—
1084C4⋊Q8—861no—
1085C4⋊Q8—861no—
1086C4⋊Q8C22×D4311yescharacteristic
1087C4⋊Q8C22×D4311yescharacteristic
1088#126—21no—
1089#126—21no—
1090#126—21no—
1091#126—431no—
1092#126—431no—
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—21no—
1121#124—431no—
1122#124—431no—
1123#124—861no—
1124#124—861no—
1125#124C22×D4311yescharacteristic
1126#123—21no—
1127#123—431no—
1128#123—431no—
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—21no—
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⋊Q8C22×D4311yescharacteristic
1166C22⋊Q8C22×D4311yescharacteristic
1167C22⋊Q8C22×D4311yescharacteristic
1168#121—431no—
1169#121—431no—
1170#121—861no—
1171#121—861no—
1172#121—861no—
1173#121C22×D4311yescharacteristic
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—431no—
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×Q8—861no—
1199C4×Q8C22×D4311yescharacteristic
1200C4×Q8C22×D4311yescharacteristic
1201C4×Q8C22×D4311yescharacteristic
1202C4×D4—431no—
1203C4×D4—431no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—861no—
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×D4—861no—
1221C4×D4C22×D4311yescharacteristic
1222#117—431no—
1223#117—431no—
1224#117—431no—
1225#117—861no—
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—431no—
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⋊C4—861no—
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⋊C8—431no—
1271C4⋊C8—431no—
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⋊C8—431no—
1309C22⋊C8—431no—
1310#97—431no—
1311#97—431no—
1312#97C22×D4311yescharacteristic
1313#97C22×D4311yescharacteristic
1314C4×C8—431no—
1315C4×C8—431no—
1316C4×C8—431no—
1317C4×C8—431no—
1318C4×C8C22×D4311yescharacteristic
1319C4×C8C22×D4311yescharacteristic
1320C24—861no—
1321#41—862no—
1322#41—862no—
1323#41—3442no—
1324#41—1721no—
1325#41—1721no—
1326C2×Q8—21no—
1327C2×Q8—431no—
1328C2×Q8—431no—
1329C2×Q8—431no—
1330C2×Q8—431no—
1331C2×Q8—861no—
1332C2×Q8—861no—
1333C2×Q8—861no—
1334C2×Q8—861no—
1335C2×Q8—861no—
1336C2×Q8—862no—
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—431no—
1361C22×C4—431no—
1362C22×C4—431no—
1363C22×C4—431no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
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—22no—
1381Q16—41no—
1382Q16—862no—
1383Q16—862no—
1384Q16—862no—
1385Q16—1721no—
1386Q16—1721no—
1387Q16—1721no—
1388SD16—22no—
1389SD16—41no—
1390SD16—434no—
1391SD16—862no—
1392SD16—862no—
1393SD16—862no—
1394SD16—862no—
1395SD16—1721no—
1396M16—22no—
1397M16—862no—
1398C2×C8—41no—
1399C2×C8—431no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8—862no—
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—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—431no—
1485C22⋊C4—431no—
1486C22⋊C4—431no—
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—431no—
1510C42—431no—
1511C42—431no—
1512C42—431no—
1513C42—861no—
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—81no—
1543Q8—432no—
1544Q8—862no—
1545Q8—861no—
1546Q8—861no—
1547Q8—861no—
1548Q8—861no—
1549Q8—861no—
1550Q8—3441no—
1551Q8—1722no—
1552Q8—1722no—
1553Q8—1722no—
1554Q8—1722no—
1555Q8—1722no—
1556D4—21no—
1557D4—21no—
1558D4—81no—
1559D4—432no—
1560D4—862no—
1561D4—862no—
1562D4—862no—
1563D4—861no—
1564D4—3441no—
1565D4—1722no—
1566D4—1722no—
1567D4—1722no—
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—81no—
1578C2×C4—431no—
1579C2×C4—431no—
1580C2×C4—431no—
1581C2×C4—431no—
1582C2×C4—431no—
1583C2×C4—431no—
1584C2×C4—862no—
1585C2×C4—862no—
1586C2×C4—861no—
1587C2×C4—861no—
1588C2×C4—861no—
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—3441no—
1598C2×C4—3441no—
1599C2×C4—3441no—
1600C2×C4—3441no—
1601C2×C4—3441no—
1602C2×C4—3441no—
1603C2×C4—1722no—
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—861no—
1621C8—861no—
1622C8—861no—
1623C8—861no—
1624C8#41×D4312yes—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—432no—
1632C22—861no—
1633C22—861no—
1634C22—861no—
1635C22—861no—
1636C22—861no—
1637C22—862no—
1638C22—3444no—
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—81no—
1671C2—862no—
1672C2—1721no—
1673C2—1722no—
1674C2#1914808111yescharacteristic
1675C2#577×D4311yescharacteristic
1676C2#578×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3178C2
socleC22×C43C23×D4
prime radical#19148642C2
hypercenter#3178D43
hypocenterC43#61497
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3178

Complements

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

NH ≅ G/Ntype
1. #19148687C2semidirect
3. #19147623C2semidirect
4. #19147513C2semidirect
5. #19147277C2semidirect
6. #19147234C2semidirect
7. #19147174C2semidirect
8. #19147049C2semidirect
9. #19147045C2semidirect
10. #19146507C2semidirect
11. #19146470C2semidirect
12. #19146466C2semidirect
13. #19146455C2semidirect
14. #19146429C2semidirect
15. #19146425C2semidirect
16. #19146238C2semidirect
17. #19146112C2semidirect
18. #19146104C2semidirect
19. #19145259C2semidirect
20. #19145178C2semidirect
21. #19144822C2semidirect
22. #19144818C2semidirect
23. #19144807C2semidirect
24. #19144803C2semidirect
25. #19144723C2semidirect
26. #19144692C2semidirect
27. #19143566C2semidirect
28. #19143440C2semidirect
29. #19143433C2semidirect
30. C4×SD16×D43C2semidirect
31. C43×#3178C2semidirect
36. #14583626C22semidirect
37. #14583624C22semidirect
38. #14583620C22semidirect
53. #14583562C22semidirect
61. #14583507C22semidirect
74. #14583376C22semidirect
75. #14583375C22semidirect
78. #14583306C22semidirect
79. #14583303C22semidirect
81. #14583277C22semidirect
83. #14583248C22semidirect
84. #14583248C22semidirect
85. #14583248C22semidirect
86. #14583242C22semidirect
87. #14583237C22semidirect
90. #14583233C22semidirect
91. #14583232C22semidirect
93. #14583231C22semidirect
95. #14583227C22semidirect
98. #14583208C22semidirect
99. #14583203C22semidirect
102. #14583193C22semidirect
103. #14583191C22semidirect
104. #14583183C22semidirect
105. #14583182C22semidirect
106. #14583182C22semidirect
107. #14583181C22semidirect
110. #14583158C22semidirect
115. #14583139C22semidirect
122. #14583108C22semidirect
123. #14583107C22semidirect
124. #14583107C22semidirect
125. #14583106C22semidirect
135. #14583056C22semidirect
136. #14583054C22semidirect
142. #14583027C22semidirect
143. C8×Dic86C22semidirect
144. #14583007C22semidirect
145. #14583007C22semidirect
146. #14583006C22semidirect
147. #14583004C22semidirect
148. #14583004C22semidirect
154. C4×Dic172C22semidirect
155. C4×Dic172C22semidirect
156. C4×#10621885C22semidirect
157. C4×#10621885C22semidirect
158. #14582991C22semidirect
168. #14582975C22semidirect
173. C8×C22⋊D43C22semidirect
174. #14582961C22semidirect
175. #14582960C22semidirect
177. #14582941C22semidirect
178. #14582940C22semidirect
182. C2×#13063250C22semidirect
184. #103×D43C22semidirect
186. #14582853C22semidirect
189. C43×#541C22semidirect
190. C43×#501C22semidirect
193. C43×#487C22semidirect
194. C43×#470C22semidirect
196. C43×#467C22semidirect
198. C43×#441C22semidirect
200. C4×Q16×C43C22semidirect
202. C43×#405C22semidirect
684. #10621873#41semidirect
850. #3178D43semidirect
902. #541C2×D43semidirect
919. #501C2×D43semidirect
929. #487C2×D43semidirect
955. #470C2×D43semidirect
963. #467C2×D43semidirect
997. #441C2×D43semidirect
1009. C4×Q16C2×D43semidirect
1039. #405C2×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
#191486422
#191476232
#191475132
#191472772
#191472342
#191471742
#191470492
#191470452
#191465072
#191464702
#191464662
#191464552
#191464292
#191464252
#191462382
#191461122
#191461042
#191452592
#191451782
#191448222
#191448182
#191448072
#191448032
#191447232
#191446922
#191435662
#191434402
#191434332
C4×SD16×D432
C43×#31782
#6149743