Finite Group Databasebeta

← #25976017

Subgroups — #25976017

Order 11008.

1818 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148454C211yesmaximal, characteristic, complemented
2#19148441C211yesmaximal, characteristic
3#19147219C211yesmaximal, characteristic, complemented
4#19147214C211yesmaximal, characteristic, complemented
5#19147177C211yesmaximal, characteristic, complemented
6#19147172C211yesmaximal, characteristic, complemented
7#19147162C211yesmaximal, characteristic, complemented
8#19147155C211yesmaximal, characteristic, complemented
9#19147152C211yesmaximal, characteristic, complemented
10#19147149C211yesmaximal, characteristic, complemented
11#19147004C211yesmaximal, characteristic, complemented
12#19147003C211yesmaximal, characteristic, complemented
13#19146979C211yesmaximal, characteristic, complemented
14#19146976C211yesmaximal, characteristic, complemented
15#19146973C211yesmaximal, characteristic, complemented
16#19146948C211yesmaximal, characteristic, complemented
17#19146947C211yesmaximal, characteristic, complemented
18#19145108C211yesmaximal, characteristic, complemented
19#19144563C211yesmaximal, characteristic, complemented
20#19144559C211yesmaximal, characteristic, complemented
21#19144550C211yesmaximal, characteristic, complemented
22#19144546C211yesmaximal, characteristic, complemented
23#19144398C211yesmaximal, characteristic, complemented
24#19144390C211yesmaximal, characteristic, complemented
25#19144229C211yesmaximal, characteristic, complemented
26#19144229C211yesmaximal, characteristic, complemented
27C4×SD16×D43C211yesmaximal, characteristic, complemented
28#19143302C211yesmaximal, characteristic, complemented
29#19143187C211yesmaximal, characteristic, complemented
30#19143186C211yesmaximal, characteristic, complemented
31C43×#3337C211yesmaximal, characteristic, complemented
32C2×SD16×D43C2211yescharacteristic
33C2×#13063331C2211yescharacteristic
34C2×#13063331C2211yescharacteristic
35#14583633—21no—
36#14583633—21no—
37#14583632—21no—
38#14583626—21no—
39#14583620C2211yescharacteristic, complemented
40#14583617—21no—
41#14583617C2211yescharacteristic, complemented
42#14583616—21no—
43#14583616—21no—
44#14583613C2211yescharacteristic
45#14583612C2211yescharacteristic
46#14583607C2211yescharacteristic, complemented
47#14583604C2211yescharacteristic, complemented
48#14583602C2211yescharacteristic
49#14583599C2211yescharacteristic
50#14583595C2211yescharacteristic
51#14583590C2211yescharacteristic, complemented
52#14583589C2211yescharacteristic, complemented
53#14583587C2211yescharacteristic, complemented
54#14583567—21no—
55#14583550C2211yescharacteristic
56#14583549C2211yescharacteristic
57#14583497—21no—
58#14583492—21no—
59#14583488—21no—
60#14583481—21no—
61#14583472C2211yescharacteristic
62#14583472C2211yescharacteristic
63#14583465C2211yescharacteristic
64#14583465C2211yescharacteristic
65#14583455C2211yescharacteristic
66#14583455C2211yescharacteristic
67#14583446C2211yescharacteristic
68#14583432—21no—
69#14583427—21no—
70#14583408—21no—
71#14583407—21no—
72#14583380C2211yescharacteristic
73#14583380C2211yescharacteristic
74#14583379C2211yescharacteristic
75#14583379C2211yescharacteristic
76C4×Q8×D43C2211yescharacteristic
77C4×D4×D43C2211yescharacteristic
78#14583303C2211yescharacteristic, complemented
79#14583303C2211yescharacteristic, complemented
80#14583301C2211yescharacteristic, complemented
81#14583298C2211yescharacteristic, complemented
82#14583298C2211yescharacteristic, complemented
83#14583296C2211yescharacteristic, complemented
84#14583296C2211yescharacteristic, complemented
85#14583242C2211yescharacteristic, complemented
86#14583242C2211yescharacteristic, complemented
87#14583241C2211yescharacteristic, complemented
88#14583240C2211yescharacteristic, complemented
89#14583239C2211yescharacteristic, complemented
90#14583239C2211yescharacteristic, complemented
91#14583237C2211yescharacteristic, complemented
92#14583236C2211yescharacteristic, complemented
93#14583235C2211yescharacteristic, complemented
94#14583233C2211yescharacteristic, complemented
95#14583231C2211yescharacteristic, complemented
96#14583229C2211yescharacteristic, complemented
97#14583228C2211yescharacteristic, complemented
98#14583227C2211yescharacteristic, complemented
99#14583226C2211yescharacteristic
100#14583226C2211yescharacteristic
101#14583224C2211yescharacteristic
102#14583223C2211yescharacteristic
103#14583221C2211yescharacteristic
104#14583221C2211yescharacteristic
105#14583220C2211yescharacteristic
106#14583219C2211yescharacteristic
107#14583217C2211yescharacteristic
108#14583216C2211yescharacteristic
109#14583215C2211yescharacteristic
110#14583214C2211yescharacteristic
111#14583213C2211yescharacteristic
112#14583211C2211yescharacteristic
113#14583207C2211yescharacteristic, complemented
114#14583206C2211yescharacteristic, complemented
115#14583203C2211yescharacteristic, complemented
116#14583200C2211yescharacteristic
117#14583199C2211yescharacteristic
118#14583196C2211yescharacteristic
119#14583193C2211yescharacteristic, complemented
120#14583192C2211yescharacteristic, complemented
121#14583188C2211yescharacteristic
122#14583187C2211yescharacteristic
123#14583183C2211yescharacteristic, complemented
124#14583182C2211yescharacteristic, complemented
125#14583178C2211yescharacteristic
126#14583177C2211yescharacteristic
127#14583148C2211yescharacteristic
128#14583148C2211yescharacteristic
129#14583147C2211yescharacteristic
130#14583147C2211yescharacteristic
131#14583144C2211yescharacteristic
132#14583144C2211yescharacteristic
133#14583143C2211yescharacteristic
134#14583143C2211yescharacteristic
135#14583129C2211yescharacteristic
136#14583129C2211yescharacteristic
137#14583128C2211yescharacteristic
138#14583128C2211yescharacteristic
139#14583125C2211yescharacteristic
140#14583125C2211yescharacteristic
141#14582990C2211yescharacteristic
142C4×#10621873C2211yescharacteristic
143SD16×Dic43C2211yescharacteristic
144C4×#10621884C2211yescharacteristic
145#14582986C2211yescharacteristic
146C4×#10621883C2211yescharacteristic
147#14582984C2211yescharacteristic
148#14582977C2211yescharacteristic, complemented
149#14582976C2211yescharacteristic, complemented
150#14582974C2211yescharacteristic, complemented
151#14582974C2211yescharacteristic, complemented
152C8×D172C2211yescharacteristic, complemented
153C8×C22⋊D43C2211yescharacteristic, complemented
154C8×C22⋊D43C2211yescharacteristic, complemented
155#14582942C2211yescharacteristic, complemented
156#14582942C2211yescharacteristic, complemented
157#14582940C2211yescharacteristic
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic, complemented
160#14582940C2211yescharacteristic, complemented
161#14582939C2211yescharacteristic, complemented
162#14582939C2211yescharacteristic, complemented
163#14582938C2211yescharacteristic
164#14582938C2211yescharacteristic
165#14582938C2211yescharacteristic, complemented
166#14582938C2211yescharacteristic, complemented
167#14582937C2211yescharacteristic, complemented
168#14582936C2211yescharacteristic
169#14582936C2211yescharacteristic
170#14582934C2211yescharacteristic
171#14582934C2211yescharacteristic
172#14582934C2211yescharacteristic, complemented
173#14582934C2211yescharacteristic, complemented
174C2×#13063257C2211yescharacteristic, complemented
175#106×D43C2211yescharacteristic
176#106×D43C2211yescharacteristic, complemented
177#106×D43C2211yescharacteristic, complemented
178#14582921C2211yescharacteristic
179#14582906C2211yescharacteristic
180#14582906C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582902C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582864C2211yescharacteristic
187C4×C8×D43C2211yescharacteristic
188C43×#553C2211yescharacteristic
189C43×#552C2211yescharacteristic, complemented
190C43×#499C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#484C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic
194C43×#480C2211yescharacteristic
195C43×#479C2211yescharacteristic, complemented
196C43×#478C2211yescharacteristic
197C43×#465C2211yescharacteristic
198C43×#465C2211yescharacteristic
199C4×SD16×C43C2211yescharacteristic
200C8×D4×C43C2211yescharacteristic, complemented
201C43×#427C2211yescharacteristic, complemented
202C2×#106×C43C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621898C2311yescharacteristic
206C2×#10621900—21no—
207C2×Q8×D43C2311yescharacteristic
208C2×D4×D43C2311yescharacteristic
209C22×C4×D43—21no—
210C2×#10621873C2311yescharacteristic
211C2×#10621883C2311yescharacteristic
212C2×#10621884C2311yescharacteristic
213SD16×D43—24no—
214#13063331—24no—
215#13063331—24no—
216C2×#10621877C2311yescharacteristic
217C2×#10621877C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221C2×#10621872C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226#13063324—21no—
227#13063324—21no—
228#13063324D411yescharacteristic
229#13063324C2311yescharacteristic
230#13063324C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063321—21no—
234#13063321—21no—
235#13063321D411yescharacteristic
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063319—21no—
241#13063319—21no—
242#13063318—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063317C2311yescharacteristic
247#13063317C2311yescharacteristic
248#13063316—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063313—21no—
254#13063312—21no—
255#13063311—21no—
256#13063311—21no—
257#13063311—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311D411yescharacteristic
264#13063311D411yescharacteristic
265#13063310—21no—
266#13063310—21no—
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063308—21no—
272#13063308—21no—
273#13063307—21no—
274#13063307—21no—
275#13063307—21no—
276#13063307—21no—
277#13063306—21no—
278#13063306—21no—
279#13063305—21no—
280#13063305C2311yescharacteristic
281#13063305C2311yescharacteristic
282#13063304—21no—
283#13063304C2311yescharacteristic
284#13063304C2311yescharacteristic
285#13063303—21no—
286#13063303—21no—
287#13063303—21no—
288#13063303—21no—
289#13063303—21no—
290#13063303—21no—
291#13063302—21no—
292#13063302—21no—
293#13063301C2311yescharacteristic
294#13063301C2311yescharacteristic
295#13063300—21no—
296#13063300D411yescharacteristic
297#13063300C2311yescharacteristic
298#13063300C2311yescharacteristic
299#13063299C2311yescharacteristic
300#13063299C2311yescharacteristic
301#13063298—21no—
302#13063298—21no—
303#13063298D411yescharacteristic
304#13063298D411yescharacteristic
305#13063297—21no—
306#13063297—21no—
307#13063296D411yescharacteristic
308#13063296C2311yescharacteristic
309#13063296C2311yescharacteristic
310#13063295—21no—
311#13063295—21no—
312#13063293—21no—
313#13063293—21no—
314Q8×Dic43C2311yescharacteristic
315C4×Dic86—21no—
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86—21no—
319C4×Dic86C2311yescharacteristic
320#13063290—21no—
321#13063290—21no—
322#13063290—21no—
323#13063290—21no—
324#13063290—21no—
325#13063290—21no—
326#13063290—21no—
327#13063290—21no—
328#13063290C2311yescharacteristic
329C4×D172—21no—
330C4×D172—21no—
331C4×D172C2311yescharacteristic
332C4×D172C2311yescharacteristic
333D4×Dic43C2311yescharacteristic
334#13063287—21no—
335#13063287—21no—
336#13063287—21no—
337#13063287C2311yescharacteristic
338C4×C22⋊D43—21no—
339C4×C22⋊D43—21no—
340C4×C22⋊D43—21no—
341C4×C22⋊D43—21no—
342C4×C22⋊D43—21no—
343C4×C22⋊D43—21no—
344C4×C22⋊D43—21no—
345C4×C22⋊D43C2311yescharacteristic
346C4×C22⋊D43C2311yescharacteristic
347(C22⋊D43)⋊C4—21no—
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354#13063284C2311yescharacteristic
355#13063284C2311yescharacteristic
356#13063283—21no—
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063283C2311yescharacteristic
361#13063283C2311yescharacteristic
362#13063283C2311yescharacteristic
363#13063283C2311yescharacteristic
364#13063283C2311yescharacteristic
365#13063282—21no—
366#13063282—21no—
367#13063281—21no—
368#13063281—21no—
369C2×C4⋊Dic43C2311yescharacteristic
370C2×C4⋊Dic43C2311yescharacteristic
371C4⋊C4×D43—21no—
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C22⋊C4×D43—21no—
379C42×D43—21no—
380C42×D43C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063257C2311yescharacteristic
395#13063257C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063256C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063256C2311yescharacteristic
406#13063256C2311yescharacteristic
407#13063256C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429C22⋊(C43⋊C8)C2311yescharacteristic
430C22⋊(C43⋊C8)C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432(C2×D43)⋊C8C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C22×C8×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441#126×C43—21no—
442#126×C43—21no—
443#125×C43—21no—
444#125×C43C2311yescharacteristic
445#125×C43C2311yescharacteristic
446#123×C43—21no—
447#123×C43—21no—
448C22⋊Q8×C43C2311yescharacteristic
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43—21no—
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×D4×C43—21no—
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43C2×D411yescharacteristic
486C2×D4×C43C2411yescharacteristic
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43C2411yescharacteristic
491C22×C4×C43C2411yescharacteristic
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43C2×D411yescharacteristic
498C2×C22⋊D43C2×D411yescharacteristic
499C2×C22⋊D43C2×D411yescharacteristic
500C2×C22⋊D43C2×D411yescharacteristic
501C2×C22⋊D43C2×D411yescharacteristic
502C2×C22⋊D43C2×D411yescharacteristic
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43—21no—
506Q8×D43—22no—
507Q8×D43—22no—
508#10621900—82no—
509D4×D43—22no—
510D4×D43—22no—
511#10621898—22no—
512#10621898—22no—
513#10621898—22no—
514#10621898—22no—
515#10621898—82no—
516C2×D172—21no—
517C2×D172—21no—
518C2×D172C2×D411yescharacteristic
519C2×D172C2×D411yescharacteristic
520C2×D172C2×D411yescharacteristic
521C2×D172C2411yescharacteristic
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—82no—
532C2×C4×D43C2×D411yescharacteristic
533C2×C4×D43C2×D411yescharacteristic
534C2×C4×D43C2411yescharacteristic
535C2×C4×D43C2411yescharacteristic
536C2×C4×D43C2411yescharacteristic
537C2×Dic86—21no—
538C2×Dic86—21no—
539C2×Dic86—21no—
540C2×Dic86—21no—
541C2×Dic86—21no—
542C2×Dic86C2×D411yescharacteristic
543C2×Dic86C2×D411yescharacteristic
544C2×Dic86C2411yescharacteristic
545SD16×C43—22no—
546C2×C8×C43—22no—
547C2×C8×C43—22no—
548C2×C8×C43C2411yescharacteristic
549C2×C8×C43C2411yescharacteristic
550C2×C8×C43C2411yescharacteristic
551C2×C8×C43C2411yescharacteristic
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×C43C2×D411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
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
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43C2×D411yescharacteristic
589C22⋊Dic43C2×D411yescharacteristic
590#10621884—22no—
591#10621883—22no—
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)⋊C4—21no—
609(C2×D43)⋊C4—21no—
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⋊Dic43C2×D411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43C2×D411yescharacteristic
662C4×Dic43C2×D411yescharacteristic
663C4×Dic43C2411yescharacteristic
664#10621877—22no—
665#10621877—22no—
666C2×C43⋊C8C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669C2×C43⋊C8C2411yescharacteristic
670#10621873—22no—
671#10621872—22no—
672#10621872—22no—
673#10621872—22no—
674#10621872—22no—
675C8×D43—22no—
676C8×D43—22no—
677C8×D43—22no—
678C8×D43#4114yescomplemented
679C23×C43—21no—
680C23×C43C22×D411yescharacteristic
681C23×C43C22×D411yescharacteristic
682C22×D43—21no—
683C22×D43—42no—
684C22×D43—81no—
685C22×D43—81no—
686C22×D43C22×D411yescharacteristic
687C22×D43C22×D411yescharacteristic
688C22×D43C22×D411yescharacteristic
689Q8×C43—21no—
690Q8×C43—21no—
691D4×C43—21no—
692D4×C43—21no—
693D4×C43—41no—
694D4×C43—81no—
695D4×C43—81no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—81no—
708C2×C4×C43—81no—
709C2×C4×C43—81no—
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C22×D411yescharacteristic
713C2×C4×C43C22×D411yescharacteristic
714C2×C4×C43C2511yescharacteristic
715C22⋊D43—22no—
716C22⋊D43—22no—
717C22⋊D43—22no—
718C22⋊D43—22no—
719C22⋊D43—22no—
720C22⋊D43—22no—
721C22⋊D43—42no—
722C22⋊D43—81no—
723C22⋊D43—81no—
724C22⋊D43—81no—
725C22⋊D43—81no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—42no—
734C2×Dic43—81no—
735C2×Dic43—81no—
736C2×Dic43C22×D411yescharacteristic
737C2×Dic43C22×D411yescharacteristic
738C2×Dic43C22×D411yescharacteristic
739C2×Dic43C22×D411yescharacteristic
740C2×Dic43C22×D411yescharacteristic
741D172—22no—
742D172—22no—
743D172—21no—
744D172—21no—
745D172—41no—
746D172—81no—
747D172—81no—
748C4×D43—21no—
749C4×D43—21no—
750C4×D43—21no—
751C4×D43—21no—
752C4×D43—22no—
753C4×D43—41no—
754C4×D43—42no—
755C4×D43—42no—
756C4×D43—81no—
757C4×D43—81no—
758C4×D43—81no—
759C4×D43—81no—
760C4×D43—81no—
761C4×D43—81no—
762C4×D43—81no—
763C4×D43C2×#4112yes—
764C4×D432−1+412yes—
765Dic86—22no—
766Dic86—22no—
767Dic86—21no—
768Dic86—21no—
769Dic86—42no—
770Dic86—42no—
771Dic86—42no—
772Dic86—81no—
773Dic86—81no—
774C8×C43—21no—
775C8×C43—21no—
776C8×C43—21no—
777C8×C43C2×#4112yes—
778C43⋊C8—21no—
779C43⋊C8—21no—
780C43⋊C8—21no—
781C43⋊C8C2×#4112yes—
782#61285—431nomaximal, Sylow
783C22×C43—21no—
784C22×C43—21no—
785C22×C43—21no—
786C22×C43—21no—
787C22×C43—21no—
788C22×C43—21no—
789C22×C43—41no—
790C22×C43—41no—
791C22×C43—41no—
792C22×C43C23×D411yescharacteristic
793C2×D43—21no—
794C2×D43—21no—
795C2×D43—21no—
796C2×D43—21no—
797C2×D43—21no—
798C2×D43—21no—
799C2×D43—21no—
800C2×D43—21no—
801C2×D43—41no—
802C2×D43—41no—
803C2×D43—41no—
804C2×D43—84no—
805C2×D43#54712yes—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—21no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43—41no—
817C4×C43C22×#4111yescharacteristic
818C4×C43C2×2−1+411yescharacteristic
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—41no—
823Dic43—41no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43#54712yes—
830Dic43#57712yes—
831#3507—431no—
832#3506—431no—
833#3357—431no—
834#3357—431no—
835#3353—431no—
836#3353—431no—
837#3351—431no—
838#3351—431no—
839#3351—431no—
840#3351—431no—
841#3340—431no—
842#3340—431no—
843#3337—431no—
844#3337—431no—
845#3337—431no—
846#3337D4311yescharacteristic, complemented
847#3335—431no—
848#3335—431no—
849#3160—431no—
850#3097—431no—
851#3097—431no—
852#3096—431no—
853#3096—431no—
854#3078—431no—
855#3077—431no—
856#3057—431no—
857#3057—431no—
858C2×C4×SD16—431no—
859#2931—431no—
860#2912—431no—
861#2912—431no—
862C2×C43—41no—
863C2×C43—41no—
864C2×C43—81no—
865C2×C43C2×#54711yescharacteristic
866C2×C43C2×#57711yescharacteristic
867C2×C43#358411yescharacteristic
868D43—22no—
869D43—41no—
870D43—41no—
871D43—81no—
872C22×SD16—431no—
873C2×#131—431no—
874C2×#131—431no—
875#559—861no—
876#559—861no—
877#559—861no—
878#557—861no—
879#556—431no—
880#556—431no—
881#556—861no—
882#556—861no—
883#556—861no—
884#555—431no—
885#555—431no—
886#554—431no—
887#554—431no—
888#553—431no—
889#553—431no—
890#553—431no—
891#553C2×D4311yescharacteristic
892#552—431no—
893#552—431no—
894#552—431no—
895#552C2×D4311yescharacteristic, complemented
896#550—861no—
897#547—431no—
898#547—431no—
899#539—861no—
900#539—861no—
901#538—861no—
902#538—861no—
903#536—431no—
904#536—431no—
905#535—431no—
906#535—431no—
907#533—431no—
908#533—431no—
909#532—431no—
910#529—861no—
911#529—861no—
912#525—861no—
913#525—861no—
914#520—431no—
915#520—431no—
916#520—431no—
917#520—431no—
918C2×C4×Q8—431no—
919C2×C4×D4—431no—
920#500—431no—
921#500—431no—
922#499—431no—
923#499—431no—
924#499—431no—
925#499C2×D4311yescharacteristic, complemented
926#498—431no—
927#498—431no—
928#485—431no—
929#485—431no—
930#485—431no—
931#485—431no—
932#485—431no—
933#485—431no—
934#485—431no—
935#485C2×D4311yescharacteristic, complemented
936#484—431no—
937#484—431no—
938#484—431no—
939#484C2×D4311yescharacteristic, complemented
940#483—431no—
941#483—431no—
942#483—431no—
943#483—431no—
944#482—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#482—431no—
950#482—431no—
951#482C2×D4311yescharacteristic
952#481—431no—
953#481—431no—
954#481—431no—
955#481—431no—
956#480—431no—
957#480—431no—
958#480—431no—
959#480C2×D4311yescharacteristic
960#479—431no—
961#479—431no—
962#479—431no—
963#479C2×D4311yescharacteristic, complemented
964#478—431no—
965#478—431no—
966#478—431no—
967#478C2×D4311yescharacteristic
968#477—431no—
969#477—431no—
970#476—431no—
971#476—431no—
972#475—431no—
973#475—431no—
974#474—431no—
975#474—431no—
976#468—431no—
977#468—431no—
978#468—431no—
979#468—431no—
980#468—431no—
981#468—431no—
982#468—431no—
983#468—431no—
984#465—431no—
985#465—431no—
986#465—431no—
987#465—431no—
988#465—431no—
989#465—431no—
990#465C2×D4311yescharacteristic
991#465C2×D4311yescharacteristic
992C4×SD16—431no—
993C4×SD16—431no—
994C4×SD16—431no—
995C4×SD16—431no—
996C4×SD16—431no—
997C4×SD16—431no—
998C4×SD16—431no—
999C4×SD16C2×D4311yescharacteristic
1000#436—431no—
1001#436—431no—
1002#436—431no—
1003#436—431no—
1004C8×D4—431no—
1005C8×D4—431no—
1006C8×D4—431no—
1007C8×D4C2×D4311yescharacteristic, complemented
1008#428—431no—
1009#428—431no—
1010#428—431no—
1011#428—431no—
1012#428—431no—
1013#428—431no—
1014#428—431no—
1015#428—431no—
1016#428—431no—
1017#428—431no—
1018#428—431no—
1019#428—431no—
1020#427—431no—
1021#427—431no—
1022#427—431no—
1023#427—431no—
1024#427—431no—
1025#427—431no—
1026#427—431no—
1027#427C2×D4311yescharacteristic, complemented
1028C2×#106—431no—
1029C2×#106—431no—
1030C2×#106—431no—
1031C2×#106—431no—
1032C2×#106C2×D4311yescharacteristic, complemented
1033#423—431no—
1034#419—431no—
1035#419—431no—
1036#418—431no—
1037#418—431no—
1038C2×#103—431no—
1039C2×#102—431no—
1040#408—431no—
1041#408—431no—
1042C2×C4×C8—431no—
1043C43#6128511yescharacteristic, complemented, Sylow
1044C2×#41—431no—
1045C2×#41—431no—
1046C2×#41—861no—
1047C2×#41—861no—
1048C22×Q8—431no—
1049C22×D4—431no—
1050C23×C4—861no—
1051C2×SD16—431no—
1052C2×SD16—431no—
1053C2×SD16—431no—
1054C2×SD16—864no—
1055C2×SD16C22×D4311yescharacteristic
1056#131—864no—
1057#131—864no—
1058C2×M16—431no—
1059C2×M16—431no—
1060C2×M16—431no—
1061C2×M16—431no—
1062C2×M16—431no—
1063C2×M16—431no—
1064C22×C8—431no—
1065C22×C8—431no—
1066C22×C8—431no—
1067C22×C8—431no—
1068C22×C8C22×D4311yescharacteristic
1069C22×C8C22×D4311yescharacteristic
1070C4⋊Q8—431no—
1071C4⋊Q8—431no—
1072C4⋊Q8—431no—
1073C4⋊Q8—431no—
1074C4⋊Q8—431no—
1075C4⋊Q8—861no—
1076C4⋊Q8—861no—
1077#127—431no—
1078#127—861no—
1079#127—861no—
1080#126—21no—
1081#126—21no—
1082#126—861no—
1083#126—861no—
1084#126—861no—
1085#126—861no—
1086#126—861no—
1087#126—861no—
1088#126—861no—
1089#126—861no—
1090#126—861no—
1091#126—861no—
1092#125—21no—
1093#125—431no—
1094#125—431no—
1095#125—861no—
1096#125—861no—
1097#125—861no—
1098#125—861no—
1099#125—861no—
1100#125C22×D4311yescharacteristic
1101#125C22×D4311yescharacteristic
1102#124—431no—
1103#124—431no—
1104#124—861no—
1105#124—861no—
1106#124—861no—
1107#124—861no—
1108#124—861no—
1109#124—861no—
1110#124—861no—
1111#124—861no—
1112#124—861no—
1113#124—861no—
1114#123—21no—
1115#123—21no—
1116#123—861no—
1117#123—861no—
1118#123—861no—
1119#123—861no—
1120#123—861no—
1121#123—861no—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128#123—861no—
1129#123—861no—
1130C22⋊Q8—431no—
1131C22⋊Q8—431no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
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⋊Q8C22×D4311yescharacteristic
1147C22⋊Q8C22×D4311yescharacteristic
1148#121—21no—
1149#121—431no—
1150#121—431no—
1151#121—431no—
1152#121—431no—
1153#121—431no—
1154#121—431no—
1155#121—431no—
1156#121—431no—
1157#121—431no—
1158#121—431no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121C22×D4311yescharacteristic
1165#121C22×D4311yescharacteristic
1166#120—861no—
1167#120—861no—
1168#120—861no—
1169#120—861no—
1170C4×Q8—431no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—861no—
1174C4×Q8—861no—
1175C4×Q8—861no—
1176C4×Q8—861no—
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×Q8C22×D4311yescharacteristic
1186C4×D4—21no—
1187C4×D4—431no—
1188C4×D4—431no—
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—431no—
1192C4×D4—431no—
1193C4×D4—861no—
1194C4×D4—861no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
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×D4C22×D4311yescharacteristic
1213C4×D4C22×D4311yescharacteristic
1214#117—21no—
1215#117—431no—
1216#117—431no—
1217#117—431no—
1218#117—431no—
1219#117—431no—
1220#117—431no—
1221#117—431no—
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#117C22×D4311yescharacteristic
1231#117C22×D4311yescharacteristic
1232C2×C4⋊C4—431no—
1233C2×C4⋊C4—431no—
1234C2×C4⋊C4—431no—
1235C2×C4⋊C4—431no—
1236C2×C4⋊C4—431no—
1237C2×C4⋊C4—431no—
1238C2×C4⋊C4—431no—
1239C2×C4⋊C4—431no—
1240C2×C4⋊C4—861no—
1241C2×C4⋊C4C22×D4311yescharacteristic
1242C2×C4⋊C4C22×D4311yescharacteristic
1243C2×C22⋊C4—861no—
1244C2×C42—431no—
1245C2×C42—861no—
1246#107—431no—
1247#107—431no—
1248#107—431no—
1249#107—431no—
1250#107—431no—
1251#107—431no—
1252#107—431no—
1253#107—431no—
1254#107—431no—
1255#107—431no—
1256#107—431no—
1257#107—431no—
1258#107C22×D4311yescharacteristic
1259#107C22×D4311yescharacteristic
1260#107C22×D4311yescharacteristic
1261#107C22×D4311yescharacteristic
1262#106—431no—
1263#106—431no—
1264#106—431no—
1265#106—431no—
1266#106—431no—
1267#106—431no—
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106—431no—
1272#106—431no—
1273#106—431no—
1274#106—431no—
1275#106—431no—
1276#106—431no—
1277#106C22×D4311yescharacteristic
1278#106C22×D4311yescharacteristic
1279#106C22×D4311yescharacteristic
1280#106C22×D4311yescharacteristic
1281#106C22×D4311yescharacteristic
1282C4⋊C8—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8C22×D4311yescharacteristic
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#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102C22×D4311yescharacteristic
1308#102C22×D4311yescharacteristic
1309#102C22×D4311yescharacteristic
1310C22⋊C8—431no—
1311C22⋊C8—431no—
1312C22⋊C8—431no—
1313C22⋊C8—431no—
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8C22×D4311yescharacteristic
1317C22⋊C8C22×D4311yescharacteristic
1318C4×C8—431no—
1319C4×C8—431no—
1320C4×C8—431no—
1321C4×C8C22×D4311yescharacteristic
1322C24—861no—
1323#41—862no—
1324#41—862no—
1325#41—862no—
1326#41—862no—
1327#41—3442no—
1328#41—3442no—
1329C2×Q8—431no—
1330C2×Q8—431no—
1331C2×Q8—431no—
1332C2×Q8—861no—
1333C2×Q8—861no—
1334C2×Q8—861no—
1335C2×Q8—861no—
1336C2×Q8—861no—
1337C2×Q8—862no—
1338C2×Q8—862no—
1339C2×Q8C23×D4311yescharacteristic
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—431no—
1343C2×D4—431no—
1344C2×D4—431no—
1345C2×D4—431no—
1346C2×D4—431no—
1347C2×D4—431no—
1348C2×D4—431no—
1349C2×D4—431no—
1350C2×D4—431no—
1351C2×D4—431no—
1352C2×D4—861no—
1353C2×D4—861no—
1354C2×D4—862no—
1355C2×D4—862no—
1356C2×D4—861no—
1357C2×D4—861no—
1358C2×D4—861no—
1359C2×D4—861no—
1360C2×D4—861no—
1361C2×D4D4×D4311yescharacteristic
1362C2×D4C23×D4311yescharacteristic
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—431no—
1367C22×C4—431no—
1368C22×C4—431no—
1369C22×C4—431no—
1370C22×C4—431no—
1371C22×C4—861no—
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—3442no—
1384C22×C4C23×D4311yescharacteristic
1385C22×C4C23×D4311yescharacteristic
1386SD16—22no—
1387SD16—862no—
1388SD16—862no—
1389SD16—862no—
1390M16—862no—
1391M16—862no—
1392M16—862no—
1393M16—862no—
1394M16—862no—
1395M16—862no—
1396C2×C8—22no—
1397C2×C8—22no—
1398C2×C8—431no—
1399C2×C8—434no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8—862no—
1404C2×C8—862no—
1405C2×C8—862no—
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—431no—
1420C4⋊C4—431no—
1421C4⋊C4—431no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1454C4⋊C4C23×D4311yescharacteristic
1455C4⋊C4C23×D4311yescharacteristic
1456C4⋊C4C23×D4311yescharacteristic
1457C4⋊C4C23×D4311yescharacteristic
1458C4⋊C4C23×D4311yescharacteristic
1459C4⋊C4C23×D4311yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—431no—
1468C22⋊C4—431no—
1469C22⋊C4—431no—
1470C22⋊C4—431no—
1471C22⋊C4—431no—
1472C22⋊C4—431no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1499C22⋊C4D4×D4311yescharacteristic
1500C42—21no—
1501C42—21no—
1502C42—21no—
1503C42—431no—
1504C42—431no—
1505C42—431no—
1506C42—861no—
1507C42—861no—
1508C42—861no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42C23×D4311yescharacteristic
1520C23—21no—
1521C23—431no—
1522C23—431no—
1523C23—431no—
1524C23—861no—
1525C23—3441no—
1526C23—3441no—
1527C23—1722no—
1528C23C2×D4×D4311yescharacteristic
1529C23C2×D4×D4311yescharacteristic
1530Q8—21no—
1531Q8—21no—
1532Q8—862no—
1533Q8—862no—
1534Q8—861no—
1535Q8—861no—
1536Q8—3441no—
1537Q8—3441no—
1538Q8—1722no—
1539Q8—1722no—
1540Q8—1722no—
1541D4—21no—
1542D4—21no—
1543D4—41no—
1544D4—81no—
1545D4—81no—
1546D4—862no—
1547D4—862no—
1548D4—862no—
1549D4—862no—
1550D4—862no—
1551D4—862no—
1552D4—862no—
1553D4—862no—
1554D4—861no—
1555D4—861no—
1556D4—3441no—
1557D4—3441no—
1558D4—3441no—
1559D4—3441no—
1560D4—3441no—
1561D4—3441no—
1562D4—1721no—
1563D4—1722no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—81no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—431no—
1579C2×C4—431no—
1580C2×C4—432no—
1581C2×C4—432no—
1582C2×C4—431no—
1583C2×C4—431no—
1584C2×C4—431no—
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—3441no—
1604C2×C4—3441no—
1605C2×C4—3441no—
1606C2×C4—1721no—
1607C2×C4—1722no—
1608C2×C4—1722no—
1609C2×C4—1722no—
1610C2×C4C2×D4×D4311yescharacteristic
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C2×D4×D4311yescharacteristic
1614C2×C4C24×D4311yescharacteristic
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—432no—
1619C8—861no—
1620C8—861no—
1621C8—861no—
1622C8#41×D4312yes—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—432no—
1633C22—861no—
1634C22—861no—
1635C22—861no—
1636C22—861no—
1637C22—861no—
1638C22—861no—
1639C22—861no—
1640C22—861no—
1641C22—3444no—
1642C22—1721no—
1643C22—1721no—
1644C22—1721no—
1645C22C22×D4×D4311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—432no—
1658C4—432no—
1659C4—861no—
1660C4—861no—
1661C4—861no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4—1721no—
1667C4—1721no—
1668C4—1721no—
1669C4C2×#41×D4311yescharacteristic
1670C42−1+4×D4311yescharacteristic
1671C2—41no—
1672C2—41no—
1673C2—81no—
1674C2—862no—
1675C2—3441no—
1676C2—1721no—
1677C2—1721no—
1678C2#547×D4311yescharacteristic
1679C2#577×D4311yescharacteristic
1680C2#1914936411yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3337C2
socleC22×C43C23×D4
prime radical#19148441C2
hypercenter#3337D43
hypocenterC43#61285
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3337

Complements

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

NH ≅ G/Ntype
1. #19148454C2semidirect
3. #19147219C2semidirect
4. #19147214C2semidirect
5. #19147177C2semidirect
6. #19147172C2semidirect
7. #19147162C2semidirect
8. #19147155C2semidirect
9. #19147152C2semidirect
10. #19147149C2semidirect
11. #19147004C2semidirect
12. #19147003C2semidirect
13. #19146979C2semidirect
14. #19146976C2semidirect
15. #19146973C2semidirect
16. #19146948C2semidirect
17. #19146947C2semidirect
18. #19145108C2semidirect
19. #19144563C2semidirect
20. #19144559C2semidirect
21. #19144550C2semidirect
22. #19144546C2semidirect
23. #19144398C2semidirect
24. #19144390C2semidirect
25. #19144229C2semidirect
26. #19144229C2semidirect
27. C4×SD16×D43C2semidirect
28. #19143302C2semidirect
29. #19143187C2semidirect
30. #19143186C2semidirect
31. C43×#3337C2semidirect
39. #14583620C22semidirect
41. #14583617C22semidirect
46. #14583607C22semidirect
47. #14583604C22semidirect
51. #14583590C22semidirect
52. #14583589C22semidirect
53. #14583587C22semidirect
78. #14583303C22semidirect
79. #14583303C22semidirect
80. #14583301C22semidirect
81. #14583298C22semidirect
82. #14583298C22semidirect
83. #14583296C22semidirect
84. #14583296C22semidirect
85. #14583242C22semidirect
86. #14583242C22semidirect
87. #14583241C22semidirect
88. #14583240C22semidirect
89. #14583239C22semidirect
90. #14583239C22semidirect
91. #14583237C22semidirect
92. #14583236C22semidirect
93. #14583235C22semidirect
94. #14583233C22semidirect
95. #14583231C22semidirect
96. #14583229C22semidirect
97. #14583228C22semidirect
98. #14583227C22semidirect
113. #14583207C22semidirect
114. #14583206C22semidirect
115. #14583203C22semidirect
119. #14583193C22semidirect
120. #14583192C22semidirect
123. #14583183C22semidirect
124. #14583182C22semidirect
148. #14582977C22semidirect
149. #14582976C22semidirect
150. #14582974C22semidirect
151. #14582974C22semidirect
152. C8×D172C22semidirect
153. C8×C22⋊D43C22semidirect
154. C8×C22⋊D43C22semidirect
155. #14582942C22semidirect
156. #14582942C22semidirect
159. #14582940C22semidirect
160. #14582940C22semidirect
161. #14582939C22semidirect
162. #14582939C22semidirect
165. #14582938C22semidirect
166. #14582938C22semidirect
167. #14582937C22semidirect
172. #14582934C22semidirect
173. #14582934C22semidirect
174. C2×#13063257C22semidirect
176. #106×D43C22semidirect
177. #106×D43C22semidirect
189. C43×#552C22semidirect
190. C43×#499C22semidirect
191. C43×#485C22semidirect
192. C43×#484C22semidirect
195. C43×#479C22semidirect
200. C8×D4×C43C22semidirect
201. C43×#427C22semidirect
202. C2×#106×C43C22semidirect
678. C8×D43#41semidirect
846. #3337D43semidirect
895. #552C2×D43semidirect
925. #499C2×D43semidirect
935. #485C2×D43semidirect
939. #484C2×D43semidirect
963. #479C2×D43semidirect
1007. C8×D4C2×D43semidirect
1027. #427C2×D43semidirect
1032. C2×#106C2×D43semidirect
1043. C43#61285semidirect

Maximal subgroups

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

subgroupindex
#191484542
#191484412
#191472192
#191472142
#191471772
#191471722
#191471622
#191471552
#191471522
#191471492
#191470042
#191470032
#191469792
#191469762
#191469732
#191469482
#191469472
#191451082
#191445632
#191445592
#191445502
#191445462
#191443982
#191443902
#191442292
C4×SD16×D432
#191433022
#191431872
#191431862
C43×#33372
#6128543