Finite Group Databasebeta

← #25976950

Subgroups — #25976950

Order 11008.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148456C211yesmaximal, characteristic, complemented
2#19148412C211yesmaximal, characteristic, complemented
3#19147442C211yesmaximal, characteristic, complemented
4#19147437C211yesmaximal, characteristic, complemented
5#19147434C211yesmaximal, characteristic, complemented
6#19147410C211yesmaximal, characteristic, complemented
7#19147404C211yesmaximal, characteristic, complemented
8#19147379C211yesmaximal, characteristic, complemented
9#19147373C211yesmaximal, characteristic, complemented
10#19147316C211yesmaximal, characteristic, complemented
11#19147315C211yesmaximal, characteristic, complemented
12#19147310C211yesmaximal, characteristic, complemented
13#19147309C211yesmaximal, characteristic, complemented
14#19147271C211yesmaximal, characteristic, complemented
15#19147268C211yesmaximal, characteristic, complemented
16#19147258C211yesmaximal, characteristic, complemented
17#19147252C211yesmaximal, characteristic, complemented
18#19144987C211yesmaximal, characteristic, complemented
19#19144961C211yesmaximal, characteristic, complemented
20#19144959C211yesmaximal, characteristic, complemented
21#19144449C211yesmaximal, characteristic, complemented
22#19144447C211yesmaximal, characteristic, complemented
23#477×D43C211yesmaximal, characteristic, complemented
24#19144148C211yesmaximal, characteristic, complemented
25#19144142C211yesmaximal, characteristic, complemented
26#19144049C211yesmaximal, characteristic
27#19143540C211yesmaximal, characteristic, complemented
28#19143470C211yesmaximal, characteristic, complemented
29#19143467C211yesmaximal, characteristic, complemented
30#19143411C211yesmaximal, characteristic, complemented
31C43×#3377C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063348C2211yescharacteristic
34C2×#13063346C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583631C2211yescharacteristic
37Q8×Dic86C2211yescharacteristic
38Q8×Dic86C2211yescharacteristic
39#14583628C2211yescharacteristic
40#14583627C2211yescharacteristic
41#14583624C2211yescharacteristic
42#14583622C2211yescharacteristic
43#14583621C2211yescharacteristic
44#14583618C2211yescharacteristic
45#14583616—21no—
46#14583605—21no—
47#14583605—21no—
48#14583605C2211yescharacteristic
49#14583605C2211yescharacteristic
50#14583603—21no—
51#14583585—21no—
52#14583582—21no—
53Q8×D172—21no—
54Q8×D172C2211yescharacteristic
55#14583564—21no—
56#14583564C2211yescharacteristic
57#14583529—21no—
58#14583529—21no—
59#14583529C2211yescharacteristic
60#14583529C2211yescharacteristic
61#14583495—21no—
62#14583490—21no—
63#14583474C2211yescharacteristic
64#14583469C2211yescharacteristic
65#14583453—21no—
66#14583453C2211yescharacteristic
67#14583448C2211yescharacteristic
68C4⋊Q8×D43—21no—
69C4⋊Q8×D43C2211yescharacteristic
70#14583432—21no—
71#14583427—21no—
72#14583381C2211yescharacteristic
73#14583381C2211yescharacteristic
74#14583381C2211yescharacteristic
75#14583378C2211yescharacteristic
76C4×#10621902C2211yescharacteristic
77C4×Q8×D43C2211yescharacteristic
78#14583269C2211yescharacteristic
79#14583266C2211yescharacteristic
80#14583266C2211yescharacteristic
81#14583261C2211yescharacteristic
82#14583260C2211yescharacteristic
83#14583259C2211yescharacteristic
84#14583259C2211yescharacteristic
85#14583258C2211yescharacteristic
86#14583258C2211yescharacteristic
87#14583257C2211yescharacteristic
88#14583256C2211yescharacteristic
89#14583255C2211yescharacteristic
90#14583252C2211yescharacteristic
91#14583250C2211yescharacteristic
92#14583249C2211yescharacteristic
93#14583248C2211yescharacteristic
94#14583248C2211yescharacteristic
95#14583248C2211yescharacteristic
96#14583248C2211yescharacteristic
97#14583244C2211yescharacteristic
98#14583244C2211yescharacteristic
99#14583209C2211yescharacteristic
100#14583208C2211yescharacteristic
101#14583203C2211yescharacteristic
102#14583198C2211yescharacteristic
103#14583197C2211yescharacteristic
104#14583196C2211yescharacteristic
105#14583195C2211yescharacteristic
106#14583195C2211yescharacteristic
107#14583194C2211yescharacteristic
108#14583194C2211yescharacteristic
109#14583193C2211yescharacteristic
110#14583193C2211yescharacteristic
111#14583193C2211yescharacteristic
112#14583192C2211yescharacteristic
113#14583192C2211yescharacteristic
114#14583192C2211yescharacteristic
115#14583191C2211yescharacteristic
116#14583180C2211yescharacteristic
117#14583179C2211yescharacteristic
118#14583178C2211yescharacteristic
119#14583177C2211yescharacteristic
120#14583123C2211yescharacteristic
121#14583121C2211yescharacteristic
122#14583121C2211yescharacteristic
123#14583119C2211yescharacteristic
124#14583117C2211yescharacteristic
125#14583115C2211yescharacteristic
126#14583115C2211yescharacteristic
127#14583113C2211yescharacteristic
128#14583111C2211yescharacteristic
129#14583111C2211yescharacteristic
130#14583109C2211yescharacteristic
131#14583107C2211yescharacteristic
132#14583107C2211yescharacteristic
133#14583107C2211yescharacteristic
134#14583105C2211yescharacteristic
135#14583103C2211yescharacteristic
136#14583103C2211yescharacteristic
137#14583103C2211yescharacteristic
138#14583101C2211yescharacteristic
139#14583097C2211yescharacteristic
140#14583093C2211yescharacteristic
141#14583030C2211yescharacteristic
142#14583028C2211yescharacteristic
143#14583028C2211yescharacteristic
144#14583027C2211yescharacteristic
145#14583027C2211yescharacteristic
146C8×Dic86C2211yescharacteristic
147#14583023C2211yescharacteristic
148#14583004C2211yescharacteristic
149#14583002C2211yescharacteristic
150#14583002C2211yescharacteristic
151#14583001C2211yescharacteristic
152#14583001C2211yescharacteristic
153#14583000C2211yescharacteristic
154#14582998C2211yescharacteristic
155#14582997C2211yescharacteristic
156#14582997C2211yescharacteristic
157#14582997C2211yescharacteristic
158Q16×Dic43C2211yescharacteristic
159Q16×Dic43C2211yescharacteristic
160C4×#10621885C2211yescharacteristic
161#14582991C2211yescharacteristic
162#14582991C2211yescharacteristic
163#14582986C2211yescharacteristic
164#14582984C2211yescharacteristic
165C4×D344C2211yescharacteristic
166#14582981C2211yescharacteristic
167C4×#10621882C2211yescharacteristic
168#14582979C2211yescharacteristic
169#14582938C2211yescharacteristic
170#107×D43C2211yescharacteristic
171#107×D43C2211yescharacteristic
172#14582924C2211yescharacteristic
173#14582924C2211yescharacteristic
174C4⋊C8×D43C2211yescharacteristic
175#14582906C2211yescharacteristic
176#14582899C2211yescharacteristic
177#14582899C2211yescharacteristic
178#14582899C2211yescharacteristic
179#14582897C2211yescharacteristic
180#14582897C2211yescharacteristic
181#14582894C2211yescharacteristic
182#14582892C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#103×D43C2211yescharacteristic
185#14582856C2211yescharacteristic
186#14582853C2211yescharacteristic
187#14582851C2211yescharacteristic
188C43×#557C2211yescharacteristic
189C43×#556C2211yescharacteristic
190C43×#491C2211yescharacteristic
191C43×#489C2211yescharacteristic
192C43×#488C2211yescharacteristic
193C43×#479C2211yescharacteristic
194C43×#478C2211yescharacteristic
195C43×#477C2211yescharacteristic
196C43×#464C2211yescharacteristic
197C43×#464C2211yescharacteristic
198C43×#462C2211yescharacteristic
199C43×#446C2211yescharacteristic
200C43×#441C2211yescharacteristic
201C43×#440C2211yescharacteristic
202C4×Q16×C43C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C2×Q8×D43—21no—
207C2×Q8×D43—21no—
208C2×Q8×D43—21no—
209C2×Q8×D43C2311yescharacteristic
210#13063357—24no—
211#13063348—24no—
212#13063346—24no—
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×D344C2311yescharacteristic
221C2×#10621882C2311yescharacteristic
222C2×#10621872C2311yescharacteristic
223C2×#10621872C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226#13063325—21no—
227#13063325—21no—
228#13063325—21no—
229#13063325C2311yescharacteristic
230#13063325C2311yescharacteristic
231#13063325C2311yescharacteristic
232#13063325C2311yescharacteristic
233#13063324—21no—
234#13063324—21no—
235#13063324—21no—
236#13063324—21no—
237#13063324—21no—
238#13063324—21no—
239#13063324—21no—
240#13063324D411yescharacteristic
241#13063324C2311yescharacteristic
242#13063324C2311yescharacteristic
243#13063324C2311yescharacteristic
244#13063324C2311yescharacteristic
245#13063323—21no—
246#13063323D411yescharacteristic
247#13063323C2311yescharacteristic
248#13063323C2311yescharacteristic
249#13063323C2311yescharacteristic
250#13063321C2311yescharacteristic
251#13063320—21no—
252#13063320—21no—
253#13063320—21no—
254#13063319—21no—
255#13063318—21no—
256#13063318—21no—
257#13063317—21no—
258#13063316—21no—
259#13063316—21no—
260#13063316—21no—
261#13063316C2311yescharacteristic
262#13063316C2311yescharacteristic
263#13063315—21no—
264#13063315—21no—
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063315D411yescharacteristic
270#13063315D411yescharacteristic
271#13063314C2311yescharacteristic
272#13063313C2311yescharacteristic
273#13063313C2311yescharacteristic
274#13063312C2311yescharacteristic
275#13063311—21no—
276#13063311—21no—
277#13063310—21no—
278#13063310—21no—
279#13063309—21no—
280#13063308—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063305—21no—
286#13063305—21no—
287#13063305—21no—
288#13063305—21no—
289#13063305—21no—
290#13063305—21no—
291#13063305—21no—
292#13063305D411yescharacteristic
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063303—21no—
301#13063303—21no—
302#13063303—21no—
303#13063303—21no—
304#13063303D411yescharacteristic
305#13063303D411yescharacteristic
306#13063302—21no—
307#13063302—21no—
308#13063302—21no—
309#13063301—21no—
310#13063301—21no—
311#13063301D411yescharacteristic
312#13063298—21no—
313#13063298—21no—
314Q8×Dic43C2311yescharacteristic
315Q8×Dic43C2311yescharacteristic
316Q8×Dic43C2311yescharacteristic
317Q8×Dic43C2311yescharacteristic
318Q8×Dic43C2311yescharacteristic
319C4×Dic86—21no—
320C4×Dic86—21no—
321C4×Dic86—21no—
322C4×Dic86—21no—
323C4×Dic86—21no—
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326C4×Dic86C2311yescharacteristic
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329#13063290—21no—
330#13063290—21no—
331#13063290C2311yescharacteristic
332#13063290C2311yescharacteristic
333C4×D172—21no—
334C4×D172—21no—
335C4×D172—21no—
336C4×D172—21no—
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340C4×D172C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342#13063287—21no—
343#13063287—21no—
344#13063287—21no—
345#13063287—21no—
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356#13063283—21no—
357#13063283—21no—
358#13063283C2311yescharacteristic
359#13063282—21no—
360#13063282—21no—
361#13063282—21no—
362#13063282—21no—
363#13063282C2311yescharacteristic
364#13063282C2311yescharacteristic
365#13063281—21no—
366#13063281—21no—
367C2×Dic43⋊C4—21no—
368C4⋊C4×D43—21no—
369C4⋊C4×D43—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C42×D43—21no—
379C42×D43—21no—
380C42×D43C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063256C2311yescharacteristic
390C4⋊(C43⋊C8)C2311yescharacteristic
391C4⋊(C43⋊C8)C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063245C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433C4×C43⋊C8C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C4⋊Q8×C43—21no—
442C4⋊Q8×C43C2311yescharacteristic
443C4⋊Q8×C43C2311yescharacteristic
444#126×C43—21no—
445#126×C43—21no—
446#125×C43—21no—
447#125×C43—21no—
448#125×C43C2311yescharacteristic
449#125×C43C2311yescharacteristic
450#124×C43C2311yescharacteristic
451#124×C43C2311yescharacteristic
452C22⋊Q8×C43—21no—
453C4×Q8×C43—21no—
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×Q8×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×Q8×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461#117×C43—21no—
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#103×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#102×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C2×Q8×C43—21no—
482C2×Q8×C43C2×D411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×Q8×C43C2411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43C2411yescharacteristic
487C22×C4×C43—21no—
488C2×C22⋊D43—21no—
489C2×C22⋊D43—21no—
490C2×C22⋊D43—21no—
491C22×Dic43—21no—
492C22×Dic43—21no—
493#10621902—22no—
494#10621902—22no—
495#10621902—22no—
496#10621902#4114yes—
497Q8×D43—22no—
498Q8×D43—22no—
499Q8×D43—82no—
500Q8×D43—82no—
501Q8×D43—82no—
502#10621900—22no—
503#10621900—22no—
504C2×D172—21no—
505C2×D172—21no—
506C2×D172C2411yescharacteristic
507C2×D172C2411yescharacteristic
508C2×C4×D43—21no—
509C2×C4×D43—21no—
510C2×C4×D43—21no—
511C2×C4×D43—21no—
512C2×C4×D43—21no—
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×D43C2×D411yescharacteristic
523C2×C4×D43C2×D411yescharacteristic
524C2×C4×D43C2411yescharacteristic
525C2×Dic86—21no—
526C2×Dic86—21no—
527C2×Dic86—21no—
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86C2×D411yescharacteristic
534C2×Dic86C2×D411yescharacteristic
535C2×Dic86C2×D411yescharacteristic
536C2×Dic86C2411yescharacteristic
537C2×Dic86C2411yescharacteristic
538Q16×C43—22no—
539Q16×C43—22no—
540SD16×C43—22no—
541C2×C8×C43C2411yescharacteristic
542C2×C8×C43C2411yescharacteristic
543C2×C8×C43C2411yescharacteristic
544C2×C8×C43C2411yescharacteristic
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43C2×D411yescharacteristic
558C4⋊C4×C43C2×D411yescharacteristic
559C4⋊C4×C43C2×D411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C42×C43—21no—
570C42×C43—21no—
571C42×C43—21no—
572C42×C43—21no—
573C42×C43—21no—
574C42×C43C2411yescharacteristic
575C42×C43C2411yescharacteristic
576C42×C43C2411yescharacteristic
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580#10621885—22no—
581#10621885—22no—
582#10621884—22no—
583#10621884—22no—
584#10621884—22no—
585#10621882—22no—
586(C2×D43)⋊C4—21no—
587(C2×D43)⋊C4—21no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
602(C2×D43)⋊C4C2×D411yescharacteristic
603(C2×D43)⋊C4C2×D411yescharacteristic
604(C2×D43)⋊C4C2×D411yescharacteristic
605C4⋊Dic43—21no—
606C4⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43C2×D411yescharacteristic
618C4⋊Dic43C2×D411yescharacteristic
619C4⋊Dic43C2×D411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
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×Dic43C2×D411yescharacteristic
664C4×Dic43C2×D411yescharacteristic
665C4×Dic43C2411yescharacteristic
666C4×Dic43C2411yescharacteristic
667C4×Dic43C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669C2×C43⋊C8C2411yescharacteristic
670C2×C43⋊C8C2411yescharacteristic
671C2×C43⋊C8C2411yescharacteristic
672D344—22no—
673#10621873—22no—
674#10621873—22no—
675#10621872—22no—
676#10621872—22no—
677C8×D43—22no—
678C8×D43—22no—
679C23×C43—21no—
680C22×D43—21no—
681C22×D43—21no—
682C22×D43C22×D411yescharacteristic
683Q8×C43—21no—
684Q8×C43—21no—
685Q8×C43—21no—
686Q8×C43—21no—
687Q8×C43—21no—
688Q8×C43—41no—
689Q8×C43—42no—
690Q8×C43C2×#4112yes—
691D4×C43—21no—
692D4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—81no—
701C2×C4×C43C22×D411yescharacteristic
702C2×C4×C43C22×D411yescharacteristic
703C2×C4×C43C22×D411yescharacteristic
704C2×C4×C43C22×D411yescharacteristic
705C2×C4×C43C22×D411yescharacteristic
706C2×C4×C43C22×D411yescharacteristic
707C2×C4×C43C2511yescharacteristic
708C22⋊D43—42no—
709C22⋊D43—42no—
710C22⋊D43—81no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—42no—
718C2×Dic43—81no—
719C2×Dic43C22×D411yescharacteristic
720C2×Dic43C22×D411yescharacteristic
721C2×Dic43C22×D411yescharacteristic
722C2×Dic43C22×D411yescharacteristic
723C2×Dic43C22×D411yescharacteristic
724C2×Dic43C22×D411yescharacteristic
725C2×Dic43C22×D411yescharacteristic
726D172—24no—
727D172—21no—
728D172—21no—
729D172—21no—
730D172—42no—
731D172C2×#4112yes—
732C4×D43—24no—
733C4×D43—22no—
734C4×D43—41no—
735C4×D43—42no—
736C4×D43—42no—
737C4×D43—42no—
738C4×D43—42no—
739C4×D43—81no—
740C4×D43—81no—
741C4×D43—81no—
742C4×D43—81no—
743C4×D43—81no—
744C4×D43—81no—
745C4×D43—81no—
746C4×D43—81no—
747C4×D43—81no—
748C4×D43C2×#4112yes—
749C4×D432−1+412yes—
750Dic86—22no—
751Dic86—22no—
752Dic86—21no—
753Dic86—21no—
754Dic86—21no—
755Dic86—21no—
756Dic86—41no—
757Dic86—42no—
758Dic86—42no—
759Dic86—81no—
760Dic86—81no—
761Dic86—81no—
762Dic86—81no—
763Dic86—81no—
764Dic86—81no—
765C8×C43—21no—
766C8×C43—21no—
767C8×C43—21no—
768C8×C43—21no—
769C43⋊C8—21no—
770C43⋊C8—21no—
771C43⋊C8—21no—
772C43⋊C8—21no—
773#61348—431nomaximal, Sylow
774C22×C43—41no—
775C22×C43—41no—
776C22×C43—41no—
777C22×C43C23×D411yescharacteristic
778C2×D43—21no—
779C2×D43—21no—
780C2×D43—22no—
781C2×D43—41no—
782C2×D43—41no—
783C2×D43—41no—
784C2×D43—41no—
785C2×D43—41no—
786C2×D43#54812yes—
787C4×C43—21no—
788C4×C43—21no—
789C4×C43—21no—
790C4×C43—22no—
791C4×C43—21no—
792C4×C43—21no—
793C4×C43—21no—
794C4×C43—41no—
795C4×C43—41no—
796C4×C43—41no—
797C4×C43—41no—
798C4×C43—41no—
799C4×C43—41no—
800C4×C43C22×#4111yescharacteristic
801C4×C43C2×2−1+411yescharacteristic
802Dic43—21no—
803Dic43—21no—
804Dic43—21no—
805Dic43—21no—
806Dic43—21no—
807Dic43—41no—
808Dic43—41no—
809Dic43—41no—
810Dic43—41no—
811Dic43—41no—
812Dic43—41no—
813Dic43#54812yes—
814Dic43#57812yes—
815#3507—431no—
816#3503—431no—
817#3377—431no—
818#3377—431no—
819#3377—431no—
820#3377D4311yescharacteristic, complemented
821#3375—431no—
822#3375—431no—
823#3372—431no—
824#3372—431no—
825#3367—431no—
826#3367—431no—
827#3367—431no—
828#3367—431no—
829#3363—431no—
830#3363—431no—
831#3361—431no—
832#3361—431no—
833#3141—431no—
834#3137—431no—
835#3137—431no—
836#3083—431no—
837#3083—431no—
838C2×#477—431no—
839#3046—431no—
840#3046—431no—
841#3035—431no—
842#2962—431no—
843#2951—431no—
844#2951—431no—
845C4×#137—431no—
846C2×C43—81no—
847C2×C43C2×#54811yescharacteristic
848C2×C43C2×#57811yescharacteristic
849C2×C43#358511yescharacteristic
850D43—22no—
851D43—42no—
852D43—81no—
853C2×#137—431no—
854C2×#135—431no—
855C2×#135—431no—
856#559—431no—
857#559—431no—
858Q82—431no—
859Q82—431no—
860#557—431no—
861#557—431no—
862#557—431no—
863#557C2×D4311yescharacteristic
864#556—431no—
865#556—431no—
866#556—431no—
867#556—861no—
868#556C2×D4311yescharacteristic
869#554—431no—
870#554—431no—
871#554—861no—
872#554—861no—
873#554—861no—
874#552—861no—
875#552—861no—
876D4×Q8—431no—
877D4×Q8—431no—
878D4×Q8—861no—
879D4×Q8—861no—
880#544—431no—
881#544—431no—
882#544—861no—
883#544—861no—
884#539—861no—
885#539—861no—
886#536—431no—
887#536—431no—
888#533—431no—
889#533—861no—
890#532—431no—
891C2×C4⋊Q8—431no—
892C2×C4⋊Q8—861no—
893#529—861no—
894#529—861no—
895#520—431no—
896#520—431no—
897#520—431no—
898#520—431no—
899C4×#41—431no—
900C2×C4×Q8—431no—
901#491—431no—
902#491—431no—
903#491—431no—
904#491C2×D4311yescharacteristic
905#489—431no—
906#489—431no—
907#489—431no—
908#489—431no—
909#489—431no—
910#489—431no—
911#489—431no—
912#489C2×D4311yescharacteristic
913#488—431no—
914#488—431no—
915#488—431no—
916#488C2×D4311yescharacteristic
917#487—431no—
918#487—431no—
919#487—431no—
920#487—431no—
921#487—431no—
922#487—431no—
923#486—431no—
924#486—431no—
925#479—431no—
926#479—431no—
927#479—431no—
928#479C2×D4311yescharacteristic
929#478—431no—
930#478—431no—
931#478—431no—
932#478C2×D4311yescharacteristic
933#477—431no—
934#477—431no—
935#477—431no—
936#477—431no—
937#477—431no—
938#477—431no—
939#477—431no—
940#477—431no—
941#477—431no—
942#477—431no—
943#477—431no—
944#477C2×D4311yescharacteristic
945#474—431no—
946#474—431no—
947#474—431no—
948#474—431no—
949#464—431no—
950#464—431no—
951#464—431no—
952#464—431no—
953#464C2×D4311yescharacteristic
954#464C2×D4311yescharacteristic
955#463—431no—
956#463—431no—
957#463—431no—
958#463—431no—
959#463—431no—
960#463—431no—
961#462—431no—
962#462—431no—
963#462—431no—
964#462—431no—
965#462C2×D4311yescharacteristic
966#461—431no—
967#461—431no—
968#461—431no—
969#461—431no—
970#461—431no—
971#460—431no—
972#459—431no—
973#446—431no—
974#446—431no—
975#446—431no—
976#446—431no—
977#446—431no—
978#446C2×D4311yescharacteristic
979C8×Q8—431no—
980C8×Q8—431no—
981#441—431no—
982#441C2×D4311yescharacteristic
983#440—431no—
984#440—431no—
985#440—431no—
986#440—431no—
987#440—431no—
988#440—431no—
989#440—431no—
990#440—431no—
991#440—431no—
992#440C2×D4311yescharacteristic
993C4×Q16—431no—
994C4×Q16—431no—
995C4×Q16—431no—
996C4×Q16—431no—
997C4×Q16—431no—
998C4×Q16C2×D4311yescharacteristic
999C4×SD16—431no—
1000C4×SD16—431no—
1001C4×D8—431no—
1002C4×D8—431no—
1003C4×D8—431no—
1004C4×D8—431no—
1005#428—431no—
1006C2×#107—431no—
1007C2×#107—431no—
1008#424—431no—
1009#424—431no—
1010C2×C4⋊C8—431no—
1011#419—431no—
1012#417—431no—
1013#417—431no—
1014#417—431no—
1015#417—431no—
1016#417—431no—
1017#416—431no—
1018#416—431no—
1019C2×#103—431no—
1020C2×#103—431no—
1021#405—431no—
1022#405—431no—
1023C4×M16—431no—
1024C43#6134811yescharacteristic, complemented, Sylow
1025C2×#41—431no—
1026C2×#41—431no—
1027C2×#41—431no—
1028C22×Q8—431no—
1029C22×Q8—861no—
1030C22×Q8—861no—
1031C22×Q8—861no—
1032#137—864no—
1033#135—864no—
1034#135—864no—
1035C2×Q16—431no—
1036C2×Q16—431no—
1037C2×Q16C22×D4311yescharacteristic
1038C2×Q16C22×D4311yescharacteristic
1039C2×SD16—431no—
1040C2×SD16—431no—
1041C2×SD16—431no—
1042C2×SD16—431no—
1043C2×SD16—431no—
1044C2×SD16C22×D4311yescharacteristic
1045C2×D8—431no—
1046C2×D8—431no—
1047C2×M16—431no—
1048C2×M16—431no—
1049C22×C8—431no—
1050C22×C8—431no—
1051C4⋊Q8—21no—
1052C4⋊Q8—431no—
1053C4⋊Q8—431no—
1054C4⋊Q8—431no—
1055C4⋊Q8—431no—
1056C4⋊Q8—431no—
1057C4⋊Q8—431no—
1058C4⋊Q8—431no—
1059C4⋊Q8—431no—
1060C4⋊Q8—431no—
1061C4⋊Q8—431no—
1062C4⋊Q8—431no—
1063C4⋊Q8—431no—
1064C4⋊Q8—431no—
1065C4⋊Q8—861no—
1066C4⋊Q8—861no—
1067C4⋊Q8—861no—
1068C4⋊Q8—861no—
1069C4⋊Q8—861no—
1070C4⋊Q8—861no—
1071C4⋊Q8—861no—
1072C4⋊Q8—861no—
1073C4⋊Q8—861no—
1074C4⋊Q8—861no—
1075C4⋊Q8—861no—
1076C4⋊Q8C22×D4311yescharacteristic
1077C4⋊Q8C22×D4311yescharacteristic
1078#127—431no—
1079#126—21no—
1080#126—21no—
1081#126—861no—
1082#126—861no—
1083#126—861no—
1084#126—861no—
1085#126—861no—
1086#126—861no—
1087#125—21no—
1088#125—21no—
1089#125—431no—
1090#125—431no—
1091#125—431no—
1092#125—431no—
1093#125—861no—
1094#125—861no—
1095#125—861no—
1096#125—861no—
1097#125—861no—
1098#125—861no—
1099#125—861no—
1100#125—861no—
1101#125—861no—
1102#125—861no—
1103#125C22×D4311yescharacteristic
1104#125C22×D4311yescharacteristic
1105#124—431no—
1106#124—431no—
1107#124—431no—
1108#124—431no—
1109#124—861no—
1110#124—861no—
1111#124C22×D4311yescharacteristic
1112#124C22×D4311yescharacteristic
1113#123—861no—
1114#123—861no—
1115#123—861no—
1116#123—861no—
1117#123—861no—
1118#123—861no—
1119#123—861no—
1120#123—861no—
1121C22⋊Q8—21no—
1122C22⋊Q8—431no—
1123C22⋊Q8—431no—
1124C22⋊Q8—431no—
1125C22⋊Q8—431no—
1126C22⋊Q8—861no—
1127C22⋊Q8—861no—
1128C22⋊Q8—861no—
1129C22⋊Q8—861no—
1130C22⋊Q8—861no—
1131C22⋊Q8—861no—
1132C22⋊Q8—861no—
1133C22⋊Q8—861no—
1134C22⋊Q8—861no—
1135C22⋊Q8—861no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149#121—861no—
1150#121—861no—
1151C4×Q8—21no—
1152C4×Q8—431no—
1153C4×Q8—431no—
1154C4×Q8—431no—
1155C4×Q8—431no—
1156C4×Q8—431no—
1157C4×Q8—431no—
1158C4×Q8—431no—
1159C4×Q8—431no—
1160C4×Q8—431no—
1161C4×Q8—431no—
1162C4×Q8—431no—
1163C4×Q8—431no—
1164C4×Q8—861no—
1165C4×Q8—861no—
1166C4×Q8—861no—
1167C4×Q8—861no—
1168C4×Q8—861no—
1169C4×Q8—861no—
1170C4×Q8—861no—
1171C4×Q8C22×D4311yescharacteristic
1172C4×Q8C22×D4311yescharacteristic
1173C4×Q8C22×D4311yescharacteristic
1174C4×Q8C22×D4311yescharacteristic
1175C4×Q8C22×D4311yescharacteristic
1176C4×Q8C22×D4311yescharacteristic
1177C4×D4—431no—
1178C4×D4—431no—
1179C4×D4—431no—
1180C4×D4—431no—
1181C4×D4—431no—
1182C4×D4—431no—
1183C4×D4—431no—
1184C4×D4—431no—
1185C4×D4—431no—
1186C4×D4—861no—
1187C4×D4—861no—
1188C4×D4—861no—
1189C4×D4—861no—
1190C4×D4—861no—
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×D4C22×D4311yescharacteristic
1201#117—21no—
1202#117—431no—
1203#117—431no—
1204#117—431no—
1205#117—861no—
1206#117—861no—
1207#117—861no—
1208#117—861no—
1209#117—861no—
1210#117—861no—
1211#117—861no—
1212#117—861no—
1213C2×C4⋊C4—431no—
1214C2×C4⋊C4—431no—
1215C2×C4⋊C4—431no—
1216C2×C4⋊C4—861no—
1217C2×C4⋊C4—861no—
1218C2×C4⋊C4—861no—
1219C2×C4⋊C4—861no—
1220C2×C4⋊C4—861no—
1221C2×C4⋊C4—861no—
1222C2×C4⋊C4—861no—
1223C2×C4⋊C4—861no—
1224C2×C42—431no—
1225C2×C42—861no—
1226C2×C42—861no—
1227#107—431no—
1228#107—431no—
1229#107—431no—
1230#107—431no—
1231#107—431no—
1232#107—431no—
1233#107—431no—
1234#107—431no—
1235#107C22×D4311yescharacteristic
1236#107C22×D4311yescharacteristic
1237#106—431no—
1238#106C22×D4311yescharacteristic
1239C4⋊C8—431no—
1240C4⋊C8—431no—
1241C4⋊C8—431no—
1242C4⋊C8—431no—
1243C4⋊C8—431no—
1244C4⋊C8—431no—
1245C4⋊C8—431no—
1246C4⋊C8—431no—
1247C4⋊C8—431no—
1248C4⋊C8C22×D4311yescharacteristic
1249C4⋊C8C22×D4311yescharacteristic
1250C4⋊C8C22×D4311yescharacteristic
1251#103—431no—
1252#103—431no—
1253#103—431no—
1254#103—431no—
1255#103—431no—
1256#103—431no—
1257#103—431no—
1258#103—431no—
1259#103—431no—
1260#103—431no—
1261#103—431no—
1262#103—431no—
1263#103—431no—
1264#103—431no—
1265#103—431no—
1266#103—431no—
1267#103—431no—
1268#103—431no—
1269#103—431no—
1270#103C22×D4311yescharacteristic
1271#103C22×D4311yescharacteristic
1272#103C22×D4311yescharacteristic
1273#103C22×D4311yescharacteristic
1274#103C22×D4311yescharacteristic
1275#103C22×D4311yescharacteristic
1276#103C22×D4311yescharacteristic
1277#102—431no—
1278#102—431no—
1279#102—431no—
1280#102—431no—
1281#102—431no—
1282#102—431no—
1283#102—431no—
1284#102—431no—
1285#102—431no—
1286#102—431no—
1287#102—431no—
1288#102C22×D4311yescharacteristic
1289#102C22×D4311yescharacteristic
1290#102C22×D4311yescharacteristic
1291#97—431no—
1292#97—431no—
1293#97—431no—
1294#97—431no—
1295#97C22×D4311yescharacteristic
1296#97C22×D4311yescharacteristic
1297C4×C8—431no—
1298C4×C8—431no—
1299C4×C8—431no—
1300C4×C8—431no—
1301C4×C8—431no—
1302C4×C8C22×D4311yescharacteristic
1303#41—434no—
1304#41—862no—
1305#41—862no—
1306#41—862no—
1307#41—862no—
1308#41—862no—
1309C2×Q8—21no—
1310C2×Q8—431no—
1311C2×Q8—431no—
1312C2×Q8—431no—
1313C2×Q8—431no—
1314C2×Q8—431no—
1315C2×Q8—861no—
1316C2×Q8—861no—
1317C2×Q8—861no—
1318C2×Q8—861no—
1319C2×Q8—861no—
1320C2×Q8—862no—
1321C2×Q8—862no—
1322C2×Q8—861no—
1323C2×Q8—861no—
1324C2×Q8—861no—
1325C2×Q8—3442no—
1326C2×Q8—3442no—
1327C2×Q8—3442no—
1328C2×Q8D4×D4311yescharacteristic
1329C2×Q8C23×D4311yescharacteristic
1330C2×Q8C23×D4311yescharacteristic
1331C2×Q8C23×D4311yescharacteristic
1332C2×D4—431no—
1333C2×D4—431no—
1334C2×D4—861no—
1335C2×D4—861no—
1336C2×D4—861no—
1337C2×D4—861no—
1338C2×D4—861no—
1339C2×D4C23×D4311yescharacteristic
1340C22×C4—21no—
1341C22×C4—431no—
1342C22×C4—431no—
1343C22×C4—431no—
1344C22×C4—861no—
1345C22×C4—861no—
1346C22×C4—861no—
1347C22×C4—861no—
1348C22×C4—861no—
1349C22×C4—861no—
1350C22×C4—861no—
1351C22×C4—861no—
1352C22×C4—861no—
1353C22×C4—861no—
1354C22×C4—861no—
1355C22×C4—861no—
1356C22×C4—861no—
1357C22×C4—861no—
1358C22×C4—861no—
1359C22×C4—861no—
1360Q16—22no—
1361Q16—22no—
1362Q16—862no—
1363Q16—862no—
1364SD16—22no—
1365SD16—862no—
1366SD16—862no—
1367SD16—862no—
1368SD16—862no—
1369SD16—862no—
1370D8—862no—
1371D8—862no—
1372M16—862no—
1373M16—862no—
1374C2×C8—431no—
1375C2×C8—431no—
1376C2×C8—431no—
1377C2×C8—431no—
1378C2×C8—862no—
1379C2×C8—862no—
1380C2×C8C23×D4311yescharacteristic
1381C2×C8C23×D4311yescharacteristic
1382C2×C8C23×D4311yescharacteristic
1383C2×C8C23×D4311yescharacteristic
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—431no—
1397C4⋊C4—431no—
1398C4⋊C4—431no—
1399C4⋊C4—431no—
1400C4⋊C4—431no—
1401C4⋊C4—431no—
1402C4⋊C4—431no—
1403C4⋊C4—431no—
1404C4⋊C4—431no—
1405C4⋊C4—431no—
1406C4⋊C4—431no—
1407C4⋊C4—431no—
1408C4⋊C4—431no—
1409C4⋊C4—431no—
1410C4⋊C4—431no—
1411C4⋊C4—431no—
1412C4⋊C4—431no—
1413C4⋊C4—861no—
1414C4⋊C4—861no—
1415C4⋊C4—861no—
1416C4⋊C4—861no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1445C4⋊C4D4×D4311yescharacteristic
1446C4⋊C4D4×D4311yescharacteristic
1447C4⋊C4C23×D4311yescharacteristic
1448C4⋊C4C23×D4311yescharacteristic
1449C4⋊C4C23×D4311yescharacteristic
1450C4⋊C4C23×D4311yescharacteristic
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—431no—
1457C22⋊C4—431no—
1458C22⋊C4—431no—
1459C22⋊C4—431no—
1460C22⋊C4—861no—
1461C22⋊C4—861no—
1462C22⋊C4—861no—
1463C22⋊C4—861no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C42—21no—
1479C42—21no—
1480C42—21no—
1481C42—21no—
1482C42—21no—
1483C42—431no—
1484C42—431no—
1485C42—431no—
1486C42—431no—
1487C42—431no—
1488C42—861no—
1489C42—861no—
1490C42—861no—
1491C42—861no—
1492C42—861no—
1493C42—861no—
1494C42—861no—
1495C42—861no—
1496C42—861no—
1497C42—861no—
1498C42C23×D4311yescharacteristic
1499C42C23×D4311yescharacteristic
1500C42C23×D4311yescharacteristic
1501C23—21no—
1502C23—431no—
1503C23—861no—
1504C23—861no—
1505Q8—21no—
1506Q8—21no—
1507Q8—21no—
1508Q8—21no—
1509Q8—21no—
1510Q8—41no—
1511Q8—42no—
1512Q8—862no—
1513Q8—862no—
1514Q8—861no—
1515Q8—861no—
1516Q8—861no—
1517Q8—861no—
1518Q8—3441no—
1519Q8—3441no—
1520Q8—3441no—
1521Q8—3441no—
1522Q8—3441no—
1523Q8—3441no—
1524Q8—1721no—
1525Q8—1722no—
1526Q8—1722no—
1527Q8#41×D4312yes—
1528D4—21no—
1529D4—21no—
1530D4—432no—
1531D4—864no—
1532D4—861no—
1533D4—861no—
1534D4—861no—
1535D4—3441no—
1536D4—1722no—
1537D4—1722no—
1538D4—1722no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—81no—
1547C2×C4—431no—
1548C2×C4—431no—
1549C2×C4—432no—
1550C2×C4—432no—
1551C2×C4—431no—
1552C2×C4—431no—
1553C2×C4—431no—
1554C2×C4—431no—
1555C2×C4—431no—
1556C2×C4—862no—
1557C2×C4—864no—
1558C2×C4—861no—
1559C2×C4—861no—
1560C2×C4—861no—
1561C2×C4—861no—
1562C2×C4—861no—
1563C2×C4—861no—
1564C2×C4—3441no—
1565C2×C4—3441no—
1566C2×C4—3441no—
1567C2×C4—3441no—
1568C2×C4—3441no—
1569C2×C4—3441no—
1570C2×C4—3441no—
1571C2×C4—3441no—
1572C2×C4—3441no—
1573C2×C4—3441no—
1574C2×C4—1721no—
1575C2×C4—1722no—
1576C2×C4—1722no—
1577C2×C4—1722no—
1578C2×C4—1722no—
1579C2×C4—1722no—
1580C2×C4C2×D4×D4311yescharacteristic
1581C2×C4C2×D4×D4311yescharacteristic
1582C2×C4C2×D4×D4311yescharacteristic
1583C2×C4C2×D4×D4311yescharacteristic
1584C2×C4C2×D4×D4311yescharacteristic
1585C2×C4C2×D4×D4311yescharacteristic
1586C2×C4C24×D4311yescharacteristic
1587C8—21no—
1588C8—21no—
1589C8—21no—
1590C8—21no—
1591C8—861no—
1592C8—861no—
1593C8—861no—
1594C8—861no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—432no—
1599C22—861no—
1600C22—861no—
1601C22—862no—
1602C22—1721no—
1603C22—1721no—
1604C22—1721no—
1605C22—1721no—
1606C22—1721no—
1607C22C22×D4×D4311yescharacteristic
1608C4—22no—
1609C4—21no—
1610C4—21no—
1611C4—21no—
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—432no—
1622C4—432no—
1623C4—861no—
1624C4—861no—
1625C4—861no—
1626C4—861no—
1627C4—861no—
1628C4—1721no—
1629C4—1721no—
1630C4—1721no—
1631C4—1721no—
1632C4—1721no—
1633C4—1721no—
1634C4C2×#41×D4311yescharacteristic
1635C42−1+4×D4311yescharacteristic
1636C2—81no—
1637C2—862no—
1638C2—3441no—
1639C2—1722no—
1640C2#548×D4311yescharacteristic
1641C2#578×D4311yescharacteristic
1642C2#1914937211yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3377C2
socleC22×C43C23×D4
prime radical#19144049C2
hypercenter#3377D43
hypocenterC43#61348
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3377

Complements

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

NH ≅ G/Ntype
1. #19148456C2semidirect
2. #19148412C2semidirect
3. #19147442C2semidirect
4. #19147437C2semidirect
5. #19147434C2semidirect
6. #19147410C2semidirect
7. #19147404C2semidirect
8. #19147379C2semidirect
9. #19147373C2semidirect
10. #19147316C2semidirect
11. #19147315C2semidirect
12. #19147310C2semidirect
13. #19147309C2semidirect
14. #19147271C2semidirect
15. #19147268C2semidirect
16. #19147258C2semidirect
17. #19147252C2semidirect
18. #19144987C2semidirect
19. #19144961C2semidirect
20. #19144959C2semidirect
21. #19144449C2semidirect
22. #19144447C2semidirect
23. #477×D43C2semidirect
24. #19144148C2semidirect
25. #19144142C2semidirect
27. #19143540C2semidirect
28. #19143470C2semidirect
29. #19143467C2semidirect
30. #19143411C2semidirect
31. C43×#3377C2semidirect
820. #3377D43semidirect
1024. C43#61348semidirect

Maximal subgroups

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

subgroupindex
#191484562
#191484122
#191474422
#191474372
#191474342
#191474102
#191474042
#191473792
#191473732
#191473162
#191473152
#191473102
#191473092
#191472712
#191472682
#191472582
#191472522
#191449872
#191449612
#191449592
#191444492
#191444472
#477×D432
#191441482
#191441422
#191440492
#191435402
#191434702
#191434672
#191434112
C43×#33772
#6134843