Finite Group Databasebeta

← #25975452

Subgroups — #25975452

Order 11008.

1892 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148154C211yesmaximal, characteristic, complemented
2#555×D43C211yesmaximal, characteristic, complemented
3#19147217C211yesmaximal, characteristic, complemented
4#19147214C211yesmaximal, characteristic, complemented
5#19147188C211yesmaximal, characteristic, complemented
6#19147185C211yesmaximal, characteristic, complemented
7#19147112C211yesmaximal, characteristic, complemented
8#19147110C211yesmaximal, characteristic, complemented
9#19147109C211yesmaximal, characteristic, complemented
10#19147107C211yesmaximal, characteristic, complemented
11#19147102C211yesmaximal, characteristic, complemented
12#19147100C211yesmaximal, characteristic, complemented
13#19147089C211yesmaximal, characteristic, complemented
14#19147014C211yesmaximal, characteristic, complemented
15#19147012C211yesmaximal, characteristic, complemented
16#19147006C211yesmaximal, characteristic, complemented
17#19147004C211yesmaximal, characteristic, complemented
18#19145140C211yesmaximal, characteristic, complemented
19#19144534C211yesmaximal, characteristic, complemented
20#19144530C211yesmaximal, characteristic, complemented
21#19144523C211yesmaximal, characteristic, complemented
22#19144523C211yesmaximal, characteristic, complemented
23#19144403C211yesmaximal, characteristic, complemented
24#19144390C211yesmaximal, characteristic, complemented
25#19144213C211yesmaximal, characteristic, complemented
26#19144211C211yesmaximal, characteristic, complemented
27#19143406C211yesmaximal, characteristic, complemented
28#19143328C211yesmaximal, characteristic, complemented
29#19143183C211yesmaximal, characteristic, complemented
30#19143182C211yesmaximal, characteristic, complemented
31C43×#3347C211yesmaximal, characteristic, complemented
32C2×#13063349C2211yescharacteristic
33C22×#10621872C2211yescharacteristic
34C2×M16×D43C2211yescharacteristic
35#14583617C2211yescharacteristic, complemented
36#14583615C2211yescharacteristic
37#14583614C2211yescharacteristic
38#14583614C2211yescharacteristic
39#14583613—21no—
40#14583613C2211yescharacteristic
41#14583613C2211yescharacteristic
42#14583613C2211yescharacteristic, complemented
43#14583612—21no—
44#14583612C2211yescharacteristic
45#14583612C2211yescharacteristic
46#14583611—21no—
47#14583611—21no—
48#14583604C2211yescharacteristic, complemented
49#14583599C2211yescharacteristic, complemented
50#14583589C2211yescharacteristic, complemented
51#14583587C2211yescharacteristic, complemented
52#14583585—21no—
53#14583578—21no—
54#14583577—21no—
55#14583549C2211yescharacteristic, complemented
56#14583538—21no—
57#14583455C2211yescharacteristic
58C4⋊Q8×D43C2211yescharacteristic
59#14583432—21no—
60#14583430—21no—
61#14583426—21no—
62#124×D43—21no—
63#124×D43—21no—
64#14583409C2211yescharacteristic
65#14583409C2211yescharacteristic
66#121×D43—21no—
67#121×D43C2211yescharacteristic
68#121×D43C2211yescharacteristic
69C4×#10621900—21no—
70C4×#10621900C2211yescharacteristic
71C4×D4×D43C2211yescharacteristic
72C4×D4×D43C2211yescharacteristic
73C2×#13063283C2211yescharacteristic
74#117×D43—21no—
75#117×D43C2211yescharacteristic
76#117×D43C2211yescharacteristic
77#117×D43C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583308C2211yescharacteristic, complemented
80#14583305C2211yescharacteristic, complemented
81#14583303C2211yescharacteristic, complemented
82#14583303C2211yescharacteristic, complemented
83#14583296C2211yescharacteristic, complemented
84#14583296C2211yescharacteristic, complemented
85#14583243C2211yescharacteristic, complemented
86#14583243C2211yescharacteristic, complemented
87#14583242C2211yescharacteristic, complemented
88#14583242C2211yescharacteristic, complemented
89#14583241C2211yescharacteristic, complemented
90#14583241C2211yescharacteristic, complemented
91#14583240C2211yescharacteristic, complemented
92#14583240C2211yescharacteristic, complemented
93#14583226C2211yescharacteristic, complemented
94#14583226C2211yescharacteristic, complemented
95#14583224C2211yescharacteristic, complemented
96#14583223C2211yescharacteristic, complemented
97#14583222C2211yescharacteristic, complemented
98#14583222C2211yescharacteristic, complemented
99#14583222C2211yescharacteristic, complemented
100#14583222C2211yescharacteristic, complemented
101#14583221C2211yescharacteristic, complemented
102#14583221C2211yescharacteristic, complemented
103#14583220C2211yescharacteristic, complemented
104#14583220C2211yescharacteristic, complemented
105#14583220C2211yescharacteristic, complemented
106#14583219C2211yescharacteristic, complemented
107#14583218C2211yescharacteristic, complemented
108#14583216C2211yescharacteristic, complemented
109#14583215C2211yescharacteristic, complemented
110#14583214C2211yescharacteristic, complemented
111#14583212C2211yescharacteristic, complemented
112#14583211C2211yescharacteristic, complemented
113#14583200C2211yescharacteristic, complemented
114#14583199C2211yescharacteristic, complemented
115#14583196C2211yescharacteristic, complemented
116#14583193C2211yescharacteristic, complemented
117#14583193C2211yescharacteristic, complemented
118#14583188C2211yescharacteristic, complemented
119#14583187C2211yescharacteristic, complemented
120#14583187C2211yescharacteristic, complemented
121#14583187C2211yescharacteristic, complemented
122#14583185C2211yescharacteristic, complemented
123#14583181C2211yescharacteristic, complemented
124#14583179C2211yescharacteristic, complemented
125#14583178C2211yescharacteristic, complemented
126#14583177C2211yescharacteristic, complemented
127#14583151C2211yescharacteristic, complemented
128#14583150C2211yescharacteristic, complemented
129#14583149C2211yescharacteristic, complemented
130#14583146C2211yescharacteristic, complemented
131#14583145C2211yescharacteristic, complemented
132#14583144C2211yescharacteristic, complemented
133#14583143C2211yescharacteristic, complemented
134#14583134C2211yescharacteristic, complemented
135#14583133C2211yescharacteristic, complemented
136#14583132C2211yescharacteristic, complemented
137#14583129C2211yescharacteristic, complemented
138#14583128C2211yescharacteristic, complemented
139#14583127C2211yescharacteristic, complemented
140#14583126C2211yescharacteristic, complemented
141#14583009C2211yescharacteristic, complemented
142#14583001C2211yescharacteristic, complemented
143#14582999C2211yescharacteristic, complemented
144#14582990C2211yescharacteristic, complemented
145#14582986C2211yescharacteristic, complemented
146D8×Dic43C2211yescharacteristic, complemented
147#14582979C2211yescharacteristic, complemented
148#14582975C2211yescharacteristic, complemented
149#14582974C2211yescharacteristic, complemented
150#14582972C2211yescharacteristic, complemented
151#14582971C2211yescharacteristic, complemented
152#14582969C2211yescharacteristic, complemented
153C8×C22⋊D43C2211yescharacteristic, complemented
154(C22⋊D43)⋊C8C2211yescharacteristic, complemented
155#14582942C2211yescharacteristic, complemented
156#14582941C2211yescharacteristic, complemented
157#14582940C2211yescharacteristic
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic
160#14582940C2211yescharacteristic
161#14582940C2211yescharacteristic
162#14582940C2211yescharacteristic, complemented
163#14582940C2211yescharacteristic, complemented
164#14582939C2211yescharacteristic, complemented
165#14582938C2211yescharacteristic
166#14582938C2211yescharacteristic
167#14582938C2211yescharacteristic
168#14582938C2211yescharacteristic
169#14582938C2211yescharacteristic, complemented
170#14582938C2211yescharacteristic, complemented
171#14582937C2211yescharacteristic, complemented
172#14582936C2211yescharacteristic, complemented
173#14582936C2211yescharacteristic, complemented
174#14582935C2211yescharacteristic, complemented
175#14582935C2211yescharacteristic, complemented
176#14582934C2211yescharacteristic, complemented
177#14582934C2211yescharacteristic, complemented
178#14582921C2211yescharacteristic
179#14582902C2211yescharacteristic
180#14582902C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582897C2211yescharacteristic
183#14582897C2211yescharacteristic
184#14582897C2211yescharacteristic
185#14582861C2211yescharacteristic
186#14582861C2211yescharacteristic
187#14582851C2211yescharacteristic
188C43×#555C2211yescharacteristic
189C43×#553C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic, complemented
194C43×#480C2211yescharacteristic, complemented
195C43×#478C2211yescharacteristic, complemented
196C43×#474C2211yescharacteristic, complemented
197C43×#469C2211yescharacteristic, complemented
198C43×#466C2211yescharacteristic, complemented
199C43×#442C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C43×#427C2211yescharacteristic, complemented
203C2×#10621900—21no—
204C2×#10621900C2311yescharacteristic
205C2×Q8×D43—21no—
206C2×D4×D43—21no—
207C2×D4×D43—21no—
208C2×D4×D43D411yescharacteristic
209C2×D4×D43C2311yescharacteristic
210C22×C4×D43—21no—
211C22×C4×D43C2311yescharacteristic
212C22×C4×D43C2311yescharacteristic
213#13063349—24no—
214C2×#10621873C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621882C2311yescharacteristic
217C2×#10621877C2311yescharacteristic
218C2×#10621872—24no—
219C2×#10621872C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221C2×#10621872C2311yescharacteristic
222C2×#10621872C2311yescharacteristic
223C2×#10621872C2311yescharacteristic
224C2×#10621872C2311yescharacteristic
225M16×D43—24no—
226C22×C43⋊C8C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229#13063325C2311yescharacteristic
230#13063324—21no—
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063323—21no—
236#13063320—21no—
237#13063319—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063317C2311yescharacteristic
242#13063316—21no—
243#13063315—21no—
244#13063315—21no—
245#13063314—21no—
246#13063314—21no—
247#13063313—21no—
248#13063313—21no—
249#13063312—21no—
250#13063312—21no—
251#13063312—21no—
252#13063311—21no—
253#13063311—21no—
254#13063311—21no—
255#13063311—21no—
256#13063311—21no—
257#13063311—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063310—21no—
263#13063308—21no—
264#13063307—21no—
265#13063307—21no—
266#13063307—21no—
267#13063306—21no—
268#13063306—21no—
269#13063305C2311yescharacteristic
270#13063305C2311yescharacteristic
271#13063304—21no—
272#13063304C2311yescharacteristic
273#13063304C2311yescharacteristic
274#13063303—21no—
275#13063303—21no—
276#13063303—21no—
277#13063302—21no—
278#13063300—21no—
279#13063300C2311yescharacteristic
280#13063300C2311yescharacteristic
281#13063299—21no—
282#13063299C2311yescharacteristic
283#13063299C2311yescharacteristic
284#13063298—21no—
285#13063298—21no—
286#13063298—21no—
287#13063298—21no—
288#13063298—21no—
289#13063297—21no—
290#13063297—21no—
291#13063297—21no—
292#13063297—21no—
293#13063297—21no—
294#13063296—21no—
295#13063296C2311yescharacteristic
296#13063296C2311yescharacteristic
297#13063296C2311yescharacteristic
298#13063296C2311yescharacteristic
299#13063293—21no—
300#13063293—21no—
301C4×Dic86—21no—
302C4×Dic86C2311yescharacteristic
303#13063290—21no—
304#13063290—21no—
305#13063290C2311yescharacteristic
306C4×D172C2311yescharacteristic
307C4×D172C2311yescharacteristic
308D4×Dic43—21no—
309D4×Dic43—21no—
310D4×Dic43D411yescharacteristic
311D4×Dic43C2311yescharacteristic
312D4×Dic43C2311yescharacteristic
313#13063287D411yescharacteristic
314#13063287C2311yescharacteristic
315C4×C22⋊D43—21no—
316C4×C22⋊D43—21no—
317C4×C22⋊D43—21no—
318C4×C22⋊D43—21no—
319C4×C22⋊D43C2311yescharacteristic
320C4×C22⋊D43C2311yescharacteristic
321(C22⋊D43)⋊C4—21no—
322(C22⋊D43)⋊C4—21no—
323(C22⋊D43)⋊C4—21no—
324(C22⋊D43)⋊C4—21no—
325(C22⋊D43)⋊C4D411yescharacteristic
326(C22⋊D43)⋊C4D411yescharacteristic
327#13063284—21no—
328#13063284C2311yescharacteristic
329#13063284C2311yescharacteristic
330#13063284C2311yescharacteristic
331#13063283—21no—
332#13063283—21no—
333#13063283—21no—
334#13063283—21no—
335#13063283—21no—
336#13063283C2311yescharacteristic
337#13063283C2311yescharacteristic
338#13063283C2311yescharacteristic
339#13063283C2311yescharacteristic
340#13063283C2311yescharacteristic
341#13063283C2311yescharacteristic
342#13063283C2311yescharacteristic
343#13063283C2311yescharacteristic
344#13063283C2311yescharacteristic
345#13063282—21no—
346#13063282—21no—
347#13063282—21no—
348#13063282—21no—
349#13063282—21no—
350#13063281—21no—
351#13063281—21no—
352#13063281—21no—
353#13063281—21no—
354#13063281—21no—
355#13063281—21no—
356#13063281—21no—
357#13063281—21no—
358C2×C4⋊Dic43C2311yescharacteristic
359C4⋊C4×D43—21no—
360C4⋊C4×D43D411yescharacteristic
361C4⋊C4×D43C2311yescharacteristic
362C4⋊C4×D43C2311yescharacteristic
363C4⋊C4×D43C2311yescharacteristic
364C4⋊C4×D43C2311yescharacteristic
365C4⋊C4×D43C2311yescharacteristic
366C2×(C2×D43)⋊C4—21no—
367C22⋊C4×D43—21no—
368C22⋊C4×D43—21no—
369C22⋊C4×D43—21no—
370C22⋊C4×D43—21no—
371C22⋊C4×D43—21no—
372C22⋊C4×D43—21no—
373C22⋊C4×D43D411yescharacteristic
374C22⋊C4×D43D411yescharacteristic
375C2×C4×Dic43—21no—
376C2×C4×Dic43—21no—
377C42×D43—21no—
378C42×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#13063258C2311yescharacteristic
394#13063257C2311yescharacteristic
395#13063257C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
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#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
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
435#13063236C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×D8×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#126×C43—21no—
443#125×C43C2311yescharacteristic
444#124×C43—21no—
445#124×C43—21no—
446#123×C43—21no—
447#121×C43—21no—
448#121×C43—21no—
449#121×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×D4×C43—21no—
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43C2×D411yescharacteristic
483C23×D43C2×D411yescharacteristic
484C2×Q8×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43C2×D411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C2×D4×C43C2411yescharacteristic
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43C2411yescharacteristic
496C22×C4×C43C2411yescharacteristic
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43C2×D411yescharacteristic
506C2×C22⋊D43C2×D411yescharacteristic
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43—21no—
510C22×Dic43—21no—
511C22×Dic43C2×D411yescharacteristic
512C22×Dic43C2×D411yescharacteristic
513Q8×D43—82no—
514#10621900—22no—
515#10621900—22no—
516#10621900—44no—
517D4×D43—22no—
518D4×D43—22no—
519D4×D43—42no—
520D4×D43—82no—
521D4×D43—82no—
522C2×D172—21no—
523C2×D172—21no—
524C2×D172C2×D411yescharacteristic
525C2×D172C2411yescharacteristic
526C2×C4×D43—22no—
527C2×C4×D43—22no—
528C2×C4×D43—22no—
529C2×C4×D43—22no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—44no—
538C2×C4×D43C2×D411yescharacteristic
539C2×C4×D43C2×D411yescharacteristic
540C2×C4×D43C2×D411yescharacteristic
541C2×C4×D43C2×D411yescharacteristic
542C2×C4×D43C2×D411yescharacteristic
543C2×C4×D43C2×D411yescharacteristic
544C2×C4×D43C2411yescharacteristic
545C2×C4×D43C2411yescharacteristic
546C2×C4×D43C2411yescharacteristic
547C2×Dic86—21no—
548C2×Dic86—21no—
549C2×Dic86—21no—
550C2×Dic86—21no—
551C2×Dic86—21no—
552C2×Dic86C2411yescharacteristic
553D8×C43—22no—
554M16×C43—22no—
555C2×C8×C43—22no—
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C2×C8×C43C2411yescharacteristic
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43C2×D411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43C2×D411yescharacteristic
581C22⋊C4×C43C2×D411yescharacteristic
582C42×C43—21no—
583C42×C43—21no—
584C42×C43—21no—
585C42×C43C2411yescharacteristic
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43C2×D411yescharacteristic
598C22⋊Dic43C2×D411yescharacteristic
599#10621883—22no—
600#10621882—22no—
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)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4C2×D411yescharacteristic
619(C2×D43)⋊C4C2×D411yescharacteristic
620(C2×D43)⋊C4C2×D411yescharacteristic
621(C2×D43)⋊C4C2×D411yescharacteristic
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43C2×D411yescharacteristic
627C4⋊Dic43C2411yescharacteristic
628C4⋊Dic43C2411yescharacteristic
629C4⋊Dic43C2411yescharacteristic
630C4⋊Dic43C2411yescharacteristic
631C4⋊Dic43C2411yescharacteristic
632C4⋊Dic43C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
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×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43C2×D411yescharacteristic
665C4×Dic43C2×D411yescharacteristic
666C4×Dic43C2411yescharacteristic
667#10621877—22no—
668C2×C43⋊C8—22no—
669C2×C43⋊C8C2411yescharacteristic
670C2×C43⋊C8C2411yescharacteristic
671C2×C43⋊C8C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673#10621873—22no—
674#10621872—22no—
675#10621872—22no—
676#10621872—22no—
677#10621872—22no—
678#10621872—22no—
679#10621872#4114yescomplemented
680C8×D43—22no—
681C8×D43—22no—
682C23×C43—21no—
683C23×C43—21no—
684C23×C43C22×D411yescharacteristic
685C23×C43C22×D411yescharacteristic
686C22×D43—22no—
687C22×D43—22no—
688C22×D43—21no—
689C22×D43—41no—
690C22×D43—41no—
691C22×D43—41no—
692C22×D43—41no—
693C22×D43—42no—
694C22×D43—42no—
695C22×D43—42no—
696C22×D43C22×D411yescharacteristic
697C22×D43C22×D411yescharacteristic
698C22×D43C22×D411yescharacteristic
699Q8×C43—81no—
700D4×C43—21no—
701D4×C43—21no—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—41no—
705D4×C43—42no—
706D4×C43—81no—
707D4×C43—81no—
708D4×C43—81no—
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—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—42no—
720C2×C4×C43—81no—
721C2×C4×C43—81no—
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C2511yescharacteristic
727C22⋊D43—22no—
728C22⋊D43—22no—
729C22⋊D43—42no—
730C22⋊D43—42no—
731C22⋊D43—42no—
732C22⋊D43—81no—
733C22⋊D43—81no—
734C22⋊D43—81no—
735C22⋊D43—81no—
736C22⋊D43—81no—
737C2×Dic43—22no—
738C2×Dic43—22no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—42no—
747C2×Dic43—42no—
748C2×Dic43—42no—
749C2×Dic43—42no—
750C2×Dic43C22×D411yescharacteristic
751C2×Dic43C22×D411yescharacteristic
752C2×Dic43C22×D411yescharacteristic
753C2×Dic43C22×D411yescharacteristic
754C2×Dic43C22×D411yescharacteristic
755D172—21no—
756D172—21no—
757D172—41no—
758D172—81no—
759D172—81no—
760C4×D43—22no—
761C4×D43—22no—
762C4×D43—21no—
763C4×D43—21no—
764C4×D43—21no—
765C4×D43—21no—
766C4×D43—22no—
767C4×D43—22no—
768C4×D43—22no—
769C4×D43—41no—
770C4×D43—42no—
771C4×D43—42no—
772C4×D43—42no—
773C4×D43—42no—
774C4×D43—42no—
775C4×D43—42no—
776C4×D43—81no—
777C4×D43C2×#4112yes—
778C4×D432−1+412yes—
779Dic86—21no—
780Dic86—21no—
781Dic86—42no—
782Dic86—81no—
783Dic86—81no—
784Dic86—81no—
785Dic86—81no—
786C8×C43—21no—
787C8×C43—21no—
788C8×C43—21no—
789C8×C43C2×#4112yes—
790C43⋊C8—21no—
791C43⋊C8—21no—
792C43⋊C8—21no—
793C43⋊C8C2×#4112yes—
794#61256—431nomaximal, Sylow
795C22×C43—21no—
796C22×C43—21no—
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43C23×D411yescharacteristic
808C2×D43—21no—
809C2×D43—21no—
810C2×D43—21no—
811C2×D43—21no—
812C2×D43—21no—
813C2×D43—21no—
814C2×D43—21no—
815C2×D43—21no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—82no—
820C2×D43—82no—
821C2×D43—84no—
822C2×D43#54712yes—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—21no—
826C4×C43—21no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43—41no—
832C4×C43—41no—
833C4×C43C22×#4111yescharacteristic
834C4×C43C2×2−1+411yescharacteristic
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—41no—
839Dic43—41no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43#54712yes—
846Dic43#57512yes—
847#3475—431no—
848C2×#555—431no—
849#3357—431no—
850#3357—431no—
851#3354—431no—
852#3354—431no—
853#3348—431no—
854#3348—431no—
855#3348—431no—
856#3348—431no—
857#3347—431no—
858#3347—431no—
859#3347—431no—
860#3347D4311yescharacteristic, complemented
861#3341—431no—
862#3341—431no—
863#3340—431no—
864#3340—431no—
865#3165—431no—
866#3094—431no—
867#3094—431no—
868#3093—431no—
869#3093—431no—
870#3079—431no—
871#3077—431no—
872#3055—431no—
873#3055—431no—
874C4×AGL(1,ℤ/8)—431no—
875D4×M16—431no—
876#2911—431no—
877#2911—431no—
878C2×C43—41no—
879C2×C43—41no—
880C2×C43—81no—
881C2×C43—81no—
882C2×C43C2×#54711yescharacteristic
883C2×C43C2×#57511yescharacteristic
884C2×C43#358511yescharacteristic
885D43—22no—
886D43—41no—
887D43—41no—
888D43—81no—
889C2×AGL(1,ℤ/8)—431no—
890C22×M16—431no—
891C22×M16—431no—
892#556—431no—
893#555—431no—
894#555—431no—
895#555—431no—
896#555—431no—
897#555—431no—
898#555—431no—
899#555—431no—
900#555—431no—
901#555—861no—
902#555—861no—
903#555—861no—
904#555—861no—
905#555C2×D4311yescharacteristic
906#554—431no—
907#553—431no—
908#553C2×D4311yescharacteristic, complemented
909#552—431no—
910#552—431no—
911#552—861no—
912#551—861no—
913#551—861no—
914#547—431no—
915#546—861no—
916#533—431no—
917C2×C4⋊Q8—431no—
918#529—861no—
919#529—861no—
920#529—861no—
921C2×#124—861no—
922C2×#124—861no—
923#525—431no—
924#525—431no—
925C2×#121—431no—
926C2×#121—431no—
927C2×#121—861no—
928C4×#41—431no—
929C4×#41—861no—
930C2×C4×D4—431no—
931C2×C4×D4—431no—
932C2×#117—431no—
933C2×#117—431no—
934C2×#117—431no—
935C2×#117—431no—
936C2×#117—861no—
937#501—431no—
938#501—431no—
939#501—431no—
940#501C2×D4311yescharacteristic, complemented
941#500—431no—
942#500—431no—
943#498—431no—
944#498—431no—
945#485—431no—
946#485—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#485—431no—
951#485—431no—
952#485—431no—
953#482—431no—
954#482—431no—
955#482—431no—
956#482—431no—
957#482—431no—
958#482—431no—
959#482—431no—
960#482—431no—
961#482—431no—
962#482—431no—
963#482—431no—
964#482—431no—
965#482—431no—
966#482C2×D4311yescharacteristic, complemented
967#482C2×D4311yescharacteristic, complemented
968#482C2×D4311yescharacteristic, complemented
969#481—431no—
970#481—431no—
971#481—431no—
972#481—431no—
973#480—431no—
974#480—431no—
975#480—431no—
976#480C2×D4311yescharacteristic, complemented
977#478—431no—
978#478—431no—
979#478—431no—
980#478C2×D4311yescharacteristic, complemented
981#477—431no—
982#477—431no—
983#476—431no—
984#476—431no—
985#476—431no—
986#476—431no—
987#475—431no—
988#475—431no—
989#474—431no—
990#474—431no—
991#474—431no—
992#474C2×D4311yescharacteristic, complemented
993#469—431no—
994#469—431no—
995#469—431no—
996#469C2×D4311yescharacteristic, complemented
997#468—431no—
998#468—431no—
999#468—431no—
1000#468—431no—
1001#466—431no—
1002#466—431no—
1003#466—431no—
1004#466C2×D4311yescharacteristic, complemented
1005#465—431no—
1006#465—431no—
1007#465—431no—
1008#465—431no—
1009#442—431no—
1010#442C2×D4311yescharacteristic, complemented
1011#440—431no—
1012#440—431no—
1013C4×SD16—431no—
1014C4×SD16—431no—
1015C4×D8—431no—
1016C4×D8—431no—
1017#436—431no—
1018#436—431no—
1019#435—431no—
1020#435—431no—
1021#435—431no—
1022#435C2×D4311yescharacteristic, complemented
1023C8×D4—431no—
1024C8×D4—431no—
1025#428—431no—
1026#428—431no—
1027#428—431no—
1028#428—431no—
1029#428—431no—
1030#428—431no—
1031#428—431no—
1032#428—431no—
1033#428—431no—
1034#428—431no—
1035#428—431no—
1036#428—431no—
1037#428—431no—
1038#428—431no—
1039#428—431no—
1040#428—431no—
1041#428C2×D4311yescharacteristic, complemented
1042#427—431no—
1043#427—431no—
1044#427—431no—
1045#427—431no—
1046#427—431no—
1047#427—431no—
1048#427—431no—
1049#427C2×D4311yescharacteristic, complemented
1050#423—431no—
1051#418—431no—
1052#418—431no—
1053#418—431no—
1054#417—431no—
1055#417—431no—
1056#417—431no—
1057#407—431no—
1058#407—431no—
1059C4×M16—431no—
1060C43#6125611yescharacteristic, complemented, Sylow
1061C2×#41—431no—
1062C2×#41—861no—
1063C22×Q8—861no—
1064C22×D4—431no—
1065C22×D4—431no—
1066C22×D4—861no—
1067C22×D4—861no—
1068C23×C4—431no—
1069C23×C4—431no—
1070C23×C4—861no—
1071AGL(1,ℤ/8)—864no—
1072C2×SD16—431no—
1073C2×SD16—431no—
1074C2×D8—431no—
1075C2×D8C22×D4311yescharacteristic
1076C2×M16—431no—
1077C2×M16—431no—
1078C2×M16—431no—
1079C2×M16—431no—
1080C2×M16—431no—
1081C2×M16—431no—
1082C2×M16—431no—
1083C2×M16—864no—
1084C2×M16—864no—
1085C2×M16C22×D4311yescharacteristic
1086C22×C8—431no—
1087C22×C8—431no—
1088C22×C8—431no—
1089C22×C8C22×D4311yescharacteristic
1090C4⋊Q8—431no—
1091C4⋊Q8—431no—
1092C4⋊Q8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—861no—
1096C4⋊Q8—861no—
1097C4⋊Q8C22×D4311yescharacteristic
1098#126—21no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#125—431no—
1105#125—861no—
1106#125—861no—
1107#125—861no—
1108#125C22×D4311yescharacteristic
1109#124—21no—
1110#124—21no—
1111#124—861no—
1112#124—861no—
1113#124—861no—
1114#124—861no—
1115#124—861no—
1116#124—861no—
1117#124—861no—
1118#124—861no—
1119#124—861no—
1120#124—861no—
1121#124—861no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#123—21no—
1129#123—861no—
1130#123—861no—
1131#123—861no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136C22⋊Q8—431no—
1137C22⋊Q8—431no—
1138C22⋊Q8—431no—
1139C22⋊Q8—431no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145#121—21no—
1146#121—21no—
1147#121—431no—
1148#121—431no—
1149#121—431no—
1150#121—431no—
1151#121—431no—
1152#121—431no—
1153#121—431no—
1154#121—431no—
1155#121—861no—
1156#121—861no—
1157#121—861no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121—861no—
1165#121—861no—
1166#121—861no—
1167#121—861no—
1168#121C22×D4311yescharacteristic
1169#121C22×D4311yescharacteristic
1170#121C22×D4311yescharacteristic
1171#121C22×D4311yescharacteristic
1172#120—861no—
1173#120—861no—
1174C4×Q8—431no—
1175C4×Q8—431no—
1176C4×Q8—861no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×D4—21no—
1180C4×D4—431no—
1181C4×D4—431no—
1182C4×D4—431no—
1183C4×D4—431no—
1184C4×D4—431no—
1185C4×D4—431no—
1186C4×D4—431no—
1187C4×D4—431no—
1188C4×D4—431no—
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—861no—
1192C4×D4—861no—
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×D4C22×D4311yescharacteristic
1202C4×D4C22×D4311yescharacteristic
1203C4×D4C22×D4311yescharacteristic
1204#117—21no—
1205#117—431no—
1206#117—431no—
1207#117—431no—
1208#117—431no—
1209#117—431no—
1210#117—431no—
1211#117—431no—
1212#117—431no—
1213#117—431no—
1214#117—431no—
1215#117—431no—
1216#117—431no—
1217#117—861no—
1218#117—861no—
1219#117—861no—
1220#117—861no—
1221#117—861no—
1222#117—861no—
1223#117—861no—
1224#117—861no—
1225#117—861no—
1226#117—861no—
1227#117—861no—
1228#117—861no—
1229#117—861no—
1230#117—861no—
1231#117—861no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117C22×D4311yescharacteristic
1237#117C22×D4311yescharacteristic
1238#117C22×D4311yescharacteristic
1239C2×C4⋊C4—431no—
1240C2×C4⋊C4—431no—
1241C2×C4⋊C4—431no—
1242C2×C4⋊C4—431no—
1243C2×C4⋊C4—431no—
1244C2×C4⋊C4—431no—
1245C2×C4⋊C4—431no—
1246C2×C4⋊C4—861no—
1247C2×C4⋊C4C22×D4311yescharacteristic
1248C2×C22⋊C4—431no—
1249C2×C22⋊C4—431no—
1250C2×C22⋊C4—861no—
1251C2×C22⋊C4—861no—
1252C2×C22⋊C4—861no—
1253C2×C22⋊C4—861no—
1254C2×C22⋊C4—861no—
1255C2×C22⋊C4—861no—
1256C2×C22⋊C4—861no—
1257C2×C42—431no—
1258C2×C42—861no—
1259C2×C42—861no—
1260C2×C42—861no—
1261C2×C42—861no—
1262C2×C42—861no—
1263#107—431no—
1264#107—431no—
1265#107—431no—
1266#107—431no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#107—431no—
1275#107—431no—
1276#107C22×D4311yescharacteristic
1277#107C22×D4311yescharacteristic
1278#107C22×D4311yescharacteristic
1279#107C22×D4311yescharacteristic
1280#107C22×D4311yescharacteristic
1281#106—431no—
1282#106—431no—
1283#106—431no—
1284#106—431no—
1285#106—431no—
1286#106—431no—
1287#106—431no—
1288#106—431no—
1289#106—431no—
1290#106—431no—
1291#106—431no—
1292#106—431no—
1293#106—431no—
1294#106—431no—
1295#106C22×D4311yescharacteristic
1296#106C22×D4311yescharacteristic
1297#106C22×D4311yescharacteristic
1298#106C22×D4311yescharacteristic
1299C4⋊C8—431no—
1300C4⋊C8—431no—
1301C4⋊C8—431no—
1302C4⋊C8C22×D4311yescharacteristic
1303#103—431no—
1304#103—431no—
1305#103—431no—
1306#103—431no—
1307#103—431no—
1308#103—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102—431no—
1320#102—431no—
1321#102C22×D4311yescharacteristic
1322#102C22×D4311yescharacteristic
1323#102C22×D4311yescharacteristic
1324#102C22×D4311yescharacteristic
1325#102C22×D4311yescharacteristic
1326#102C22×D4311yescharacteristic
1327C22⋊C8—431no—
1328C22⋊C8—431no—
1329C22⋊C8—431no—
1330C22⋊C8—431no—
1331C22⋊C8—431no—
1332C22⋊C8—431no—
1333C22⋊C8C22×D4311yescharacteristic
1334C22⋊C8C22×D4311yescharacteristic
1335#97—431no—
1336#97C22×D4311yescharacteristic
1337C4×C8—431no—
1338C4×C8—431no—
1339C24—431no—
1340C24—431no—
1341C24—861no—
1342#41—862no—
1343#41—862no—
1344#41—1724no—
1345C2×Q8—21no—
1346C2×Q8—431no—
1347C2×Q8—861no—
1348C2×Q8—861no—
1349C2×Q8—861no—
1350C2×Q8—861no—
1351C2×Q8—861no—
1352C2×Q8—3442no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—431no—
1358C2×D4—431no—
1359C2×D4—431no—
1360C2×D4—431no—
1361C2×D4—861no—
1362C2×D4—861no—
1363C2×D4—862no—
1364C2×D4—862no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—3442no—
1374C2×D4—3442no—
1375C2×D4—1722no—
1376C2×D4D4×D4311yescharacteristic
1377C2×D4C23×D4311yescharacteristic
1378C2×D4C23×D4311yescharacteristic
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—431no—
1383C22×C4—431no—
1384C22×C4—431no—
1385C22×C4—431no—
1386C22×C4—431no—
1387C22×C4—431no—
1388C22×C4—431no—
1389C22×C4—431no—
1390C22×C4—431no—
1391C22×C4—431no—
1392C22×C4—431no—
1393C22×C4—862no—
1394C22×C4—862no—
1395C22×C4—862no—
1396C22×C4—862no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—861no—
1405C22×C4—861no—
1406C22×C4—861no—
1407C22×C4—861no—
1408C22×C4—1724no—
1409C22×C4C23×D4311yescharacteristic
1410C22×C4C23×D4311yescharacteristic
1411SD16—862no—
1412SD16—862no—
1413D8—22no—
1414D8—862no—
1415M16—22no—
1416M16—434no—
1417M16—862no—
1418M16—862no—
1419M16—862no—
1420M16—862no—
1421M16—862no—
1422M16—862no—
1423C2×C8—22no—
1424C2×C8—431no—
1425C2×C8—431no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—862no—
1429C2×C8—862no—
1430C2×C8—862no—
1431C2×C8C23×D4311yescharacteristic
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—431no—
1440C4⋊C4—431no—
1441C4⋊C4—431no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
1444C4⋊C4—431no—
1445C4⋊C4—431no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4D4×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C4⋊C4C23×D4311yescharacteristic
1471C4⋊C4C23×D4311yescharacteristic
1472C4⋊C4C23×D4311yescharacteristic
1473C4⋊C4C23×D4311yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—431no—
1484C22⋊C4—431no—
1485C22⋊C4—431no—
1486C22⋊C4—431no—
1487C22⋊C4—431no—
1488C22⋊C4—431no—
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⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4D4×D4311yescharacteristic
1518C22⋊C4D4×D4311yescharacteristic
1519C42—21no—
1520C42—21no—
1521C42—21no—
1522C42—431no—
1523C42—431no—
1524C42—431no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42—861no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42C23×D4311yescharacteristic
1540C23—21no—
1541C23—21no—
1542C23—431no—
1543C23—431no—
1544C23—431no—
1545C23—862no—
1546C23—862no—
1547C23—861no—
1548C23—1721no—
1549C23—1721no—
1550C23—1721no—
1551C23—1721no—
1552C23—1722no—
1553C23—1722no—
1554C23—1722no—
1555C23C2×D4×D4311yescharacteristic
1556C23C2×D4×D4311yescharacteristic
1557Q8—81no—
1558Q8—861no—
1559Q8—861no—
1560Q8—3441no—
1561Q8—3441no—
1562Q8—3441no—
1563Q8—3441no—
1564Q8—1722no—
1565D4—21no—
1566D4—21no—
1567D4—21no—
1568D4—21no—
1569D4—41no—
1570D4—42no—
1571D4—81no—
1572D4—81no—
1573D4—81no—
1574D4—862no—
1575D4—862no—
1576D4—861no—
1577D4—861no—
1578D4—3441no—
1579D4—3441no—
1580D4—3441no—
1581D4—3441no—
1582D4—3441no—
1583D4—3441no—
1584D4—3441no—
1585D4—1721no—
1586D4—1722no—
1587D4—1722no—
1588D4—1722no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—42no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—431no—
1603C2×C4—431no—
1604C2×C4—432no—
1605C2×C4—432no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—431no—
1609C2×C4—862no—
1610C2×C4—862no—
1611C2×C4—862no—
1612C2×C4—862no—
1613C2×C4—862no—
1614C2×C4—862no—
1615C2×C4—862no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—861no—
1623C2×C4—861no—
1624C2×C4—861no—
1625C2×C4—861no—
1626C2×C4—861no—
1627C2×C4—3441no—
1628C2×C4—1721no—
1629C2×C4—1722no—
1630C2×C4—1722no—
1631C2×C4—1722no—
1632C2×C4—1722no—
1633C2×C4—1722no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4—1722no—
1638C2×C4—1722no—
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C2×D4×D4311yescharacteristic
1643C2×C4C24×D4311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—432no—
1648C8—861no—
1649C8—861no—
1650C8—861no—
1651C8#41×D4312yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—432no—
1665C22—861no—
1666C22—861no—
1667C22—861no—
1668C22—861no—
1669C22—861no—
1670C22—861no—
1671C22—861no—
1672C22—861no—
1673C22—3442no—
1674C22—3442no—
1675C22—3444no—
1676C22—1721no—
1677C22—1721no—
1678C22—1721no—
1679C22C22×D4×D4311yescharacteristic
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—432no—
1691C4—432no—
1692C4—861no—
1693C4—861no—
1694C4—861no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4—1721no—
1700C4—1721no—
1701C4—1721no—
1702C4C2×#41×D4311yescharacteristic
1703C42−1+4×D4311yescharacteristic
1704C2—41no—
1705C2—41no—
1706C2—81no—
1707C2—81no—
1708C2—862no—
1709C2—3441no—
1710C2—1721no—
1711C2—1721no—
1712C2#547×D4311yescharacteristic
1713C2#575×D4311yescharacteristic
1714C2#1914937011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3347C2
socleC22×C43C23×D4
hypercenter#3347D43
hypocenterC43#61256
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3347

Complements

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

NH ≅ G/Ntype
1. #19148154C2semidirect
2. #555×D43C2semidirect
3. #19147217C2semidirect
4. #19147214C2semidirect
5. #19147188C2semidirect
6. #19147185C2semidirect
7. #19147112C2semidirect
8. #19147110C2semidirect
9. #19147109C2semidirect
10. #19147107C2semidirect
11. #19147102C2semidirect
12. #19147100C2semidirect
13. #19147089C2semidirect
14. #19147014C2semidirect
15. #19147012C2semidirect
16. #19147006C2semidirect
17. #19147004C2semidirect
18. #19145140C2semidirect
19. #19144534C2semidirect
20. #19144530C2semidirect
21. #19144523C2semidirect
22. #19144523C2semidirect
23. #19144403C2semidirect
24. #19144390C2semidirect
25. #19144213C2semidirect
26. #19144211C2semidirect
27. #19143406C2semidirect
28. #19143328C2semidirect
29. #19143183C2semidirect
30. #19143182C2semidirect
31. C43×#3347C2semidirect
35. #14583617C22semidirect
42. #14583613C22semidirect
48. #14583604C22semidirect
49. #14583599C22semidirect
50. #14583589C22semidirect
51. #14583587C22semidirect
55. #14583549C22semidirect
78. #14583309C22semidirect
79. #14583308C22semidirect
80. #14583305C22semidirect
81. #14583303C22semidirect
82. #14583303C22semidirect
83. #14583296C22semidirect
84. #14583296C22semidirect
85. #14583243C22semidirect
86. #14583243C22semidirect
87. #14583242C22semidirect
88. #14583242C22semidirect
89. #14583241C22semidirect
90. #14583241C22semidirect
91. #14583240C22semidirect
92. #14583240C22semidirect
93. #14583226C22semidirect
94. #14583226C22semidirect
95. #14583224C22semidirect
96. #14583223C22semidirect
97. #14583222C22semidirect
98. #14583222C22semidirect
99. #14583222C22semidirect
100. #14583222C22semidirect
101. #14583221C22semidirect
102. #14583221C22semidirect
103. #14583220C22semidirect
104. #14583220C22semidirect
105. #14583220C22semidirect
106. #14583219C22semidirect
107. #14583218C22semidirect
108. #14583216C22semidirect
109. #14583215C22semidirect
110. #14583214C22semidirect
111. #14583212C22semidirect
112. #14583211C22semidirect
113. #14583200C22semidirect
114. #14583199C22semidirect
115. #14583196C22semidirect
116. #14583193C22semidirect
117. #14583193C22semidirect
118. #14583188C22semidirect
119. #14583187C22semidirect
120. #14583187C22semidirect
121. #14583187C22semidirect
122. #14583185C22semidirect
123. #14583181C22semidirect
124. #14583179C22semidirect
125. #14583178C22semidirect
126. #14583177C22semidirect
127. #14583151C22semidirect
128. #14583150C22semidirect
129. #14583149C22semidirect
130. #14583146C22semidirect
131. #14583145C22semidirect
132. #14583144C22semidirect
133. #14583143C22semidirect
134. #14583134C22semidirect
135. #14583133C22semidirect
136. #14583132C22semidirect
137. #14583129C22semidirect
138. #14583128C22semidirect
139. #14583127C22semidirect
140. #14583126C22semidirect
141. #14583009C22semidirect
142. #14583001C22semidirect
143. #14582999C22semidirect
144. #14582990C22semidirect
145. #14582986C22semidirect
146. D8×Dic43C22semidirect
147. #14582979C22semidirect
148. #14582975C22semidirect
149. #14582974C22semidirect
150. #14582972C22semidirect
151. #14582971C22semidirect
152. #14582969C22semidirect
153. C8×C22⋊D43C22semidirect
154. (C22⋊D43)⋊C8C22semidirect
155. #14582942C22semidirect
156. #14582941C22semidirect
162. #14582940C22semidirect
163. #14582940C22semidirect
164. #14582939C22semidirect
169. #14582938C22semidirect
170. #14582938C22semidirect
171. #14582937C22semidirect
172. #14582936C22semidirect
173. #14582936C22semidirect
174. #14582935C22semidirect
175. #14582935C22semidirect
176. #14582934C22semidirect
177. #14582934C22semidirect
189. C43×#553C22semidirect
190. C43×#501C22semidirect
191. C43×#482C22semidirect
192. C43×#482C22semidirect
193. C43×#482C22semidirect
194. C43×#480C22semidirect
195. C43×#478C22semidirect
196. C43×#474C22semidirect
197. C43×#469C22semidirect
198. C43×#466C22semidirect
199. C43×#442C22semidirect
200. C43×#435C22semidirect
201. C43×#428C22semidirect
202. C43×#427C22semidirect
679. #10621872#41semidirect
860. #3347D43semidirect
908. #553C2×D43semidirect
940. #501C2×D43semidirect
966. #482C2×D43semidirect
967. #482C2×D43semidirect
968. #482C2×D43semidirect
976. #480C2×D43semidirect
980. #478C2×D43semidirect
992. #474C2×D43semidirect
996. #469C2×D43semidirect
1004. #466C2×D43semidirect
1010. #442C2×D43semidirect
1022. #435C2×D43semidirect
1041. #428C2×D43semidirect
1049. #427C2×D43semidirect
1060. C43#61256semidirect

Maximal subgroups

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

subgroupindex
#191481542
#555×D432
#191472172
#191472142
#191471882
#191471852
#191471122
#191471102
#191471092
#191471072
#191471022
#191471002
#191470892
#191470142
#191470122
#191470062
#191470042
#191451402
#191445342
#191445302
#191445232
#191444032
#191443902
#191442132
#191442112
#191434062
#191433282
#191431832
#191431822
C43×#33472
#6125643