Finite Group Databasebeta

← #25988643

Subgroups — #25988643

Order 11008.

1650 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149087C211yesmaximal, characteristic, complemented
2#19148488C211yesmaximal, characteristic
3#19147653C211yesmaximal, characteristic, complemented
4#19147645C211yesmaximal, characteristic, complemented
5#19147643C211yesmaximal, characteristic, complemented
6#19147630C211yesmaximal, characteristic, complemented
7#19147623C211yesmaximal, characteristic, complemented
8#19147622C211yesmaximal, characteristic, complemented
9#19147621C211yesmaximal, characteristic, complemented
10#19147439C211yesmaximal, characteristic, complemented
11#19147438C211yesmaximal, characteristic, complemented
12#19147434C211yesmaximal, characteristic, complemented
13#19147433C211yesmaximal, characteristic, complemented
14#19147368C211yesmaximal, characteristic, complemented
15#19147367C211yesmaximal, characteristic, complemented
16#19147357C211yesmaximal, characteristic, complemented
17#19147356C211yesmaximal, characteristic, complemented
18#19145675C211yesmaximal, characteristic, complemented
19#19145673C211yesmaximal, characteristic, complemented
20#19145666C211yesmaximal, characteristic
21#19145660C211yesmaximal, characteristic
22#19145596C211yesmaximal, characteristic, complemented
23#19145593C211yesmaximal, characteristic, complemented
24#19144893C211yesmaximal, characteristic, complemented
25#19144892C211yesmaximal, characteristic, complemented
26#19144846C211yesmaximal, characteristic, complemented
27#19144845C211yesmaximal, characteristic, complemented
28#19144754C211yesmaximal, characteristic, complemented
29#19144753C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3400C211yesmaximal, characteristic, complemented
32C43⋊#564—21no—
33C43⋊#564—21no—
34#14583635C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583631C2211yescharacteristic
37#14583628C2211yescharacteristic, complemented
38#14583627—21no—
39#14583627C2211yescharacteristic, complemented
40#14583626—21no—
41#14583625C2211yescharacteristic, complemented
42#14583625C2211yescharacteristic, complemented
43#14583624C2211yescharacteristic, complemented
44#14583624C2211yescharacteristic, complemented
45#14583624C2211yescharacteristic, complemented
46#14583622C2211yescharacteristic
47#14583621C2211yescharacteristic
48#14583619C2211yescharacteristic
49#14583618C2211yescharacteristic
50#14583579—21no—
51#14583578—21no—
52#14583577—21no—
53#14583572—21no—
54#14583517—21no—
55#14583513—21no—
56#14583512—21no—
57#14583510C2211yescharacteristic
58#14583510C2211yescharacteristic
59#14583508—21no—
60#14583508—21no—
61#14583507—21no—
62#14583507C2211yescharacteristic
63#14583507C2211yescharacteristic
64#14583469C2211yescharacteristic
65#14583462C2211yescharacteristic
66#14583454C2211yescharacteristic
67#14583453C2211yescharacteristic
68#14583453C2211yescharacteristic
69#14583429—21no—
70#14583426—21no—
71#124×D43C2211yescharacteristic
72#14583375C2211yescharacteristic
73#14583371C2211yescharacteristic
74C4×#10621900C2211yescharacteristic
75#14583292C2211yescharacteristic
76#14583291C2211yescharacteristic
77#14583291C2211yescharacteristic
78#14583290C2211yescharacteristic
79#14583290C2211yescharacteristic
80#14583290C2211yescharacteristic, complemented
81#14583278C2211yescharacteristic, complemented
82#14583277C2211yescharacteristic, complemented
83#14583270C2211yescharacteristic
84#14583268C2211yescharacteristic, complemented
85#14583266C2211yescharacteristic, complemented
86#14583263C2211yescharacteristic
87#14583262C2211yescharacteristic
88#14583260C2211yescharacteristic
89#14583259C2211yescharacteristic
90#14583258C2211yescharacteristic
91#14583257C2211yescharacteristic
92#14583254C2211yescharacteristic
93#14583253C2211yescharacteristic, complemented
94#14583252C2211yescharacteristic
95#14583252C2211yescharacteristic, complemented
96#14583242C2211yescharacteristic
97#14583239C2211yescharacteristic
98#14583239C2211yescharacteristic
99#14583238C2211yescharacteristic
100#14583208C2211yescharacteristic, complemented
101#14583207C2211yescharacteristic, complemented
102#14583206C2211yescharacteristic, complemented
103#14583205C2211yescharacteristic, complemented
104#14583202C2211yescharacteristic
105#14583200C2211yescharacteristic
106#14583199C2211yescharacteristic
107#14583197C2211yescharacteristic
108#14583195C2211yescharacteristic, complemented
109#14583193C2211yescharacteristic, complemented
110#14583189C2211yescharacteristic, complemented
111#14583187C2211yescharacteristic, complemented
112#14583123C2211yescharacteristic
113#14583123C2211yescharacteristic
114#14583122C2211yescharacteristic
115#14583122C2211yescharacteristic
116#14583121C2211yescharacteristic
117#14583121C2211yescharacteristic
118#14583119C2211yescharacteristic
119#14583119C2211yescharacteristic
120#14583119C2211yescharacteristic
121#14583119C2211yescharacteristic
122#14583119C2211yescharacteristic, complemented
123#14583119C2211yescharacteristic, complemented
124#14583118C2211yescharacteristic
125#14583118C2211yescharacteristic, complemented
126#14583110C2211yescharacteristic, complemented
127#14583109C2211yescharacteristic, complemented
128#14583108C2211yescharacteristic, complemented
129#14583108C2211yescharacteristic, complemented
130#14583107C2211yescharacteristic, complemented
131#14583107C2211yescharacteristic, complemented
132#14583107C2211yescharacteristic, complemented
133#14583106C2211yescharacteristic, complemented
134#14583106C2211yescharacteristic, complemented
135#14583103C2211yescharacteristic
136#14583102C2211yescharacteristic
137#14583102C2211yescharacteristic, complemented
138#14583101C2211yescharacteristic
139#14583097C2211yescharacteristic
140#14583097C2211yescharacteristic
141#14583096C2211yescharacteristic
142#14583062C2211yescharacteristic
143#14583058C2211yescharacteristic
144#14583058C2211yescharacteristic
145#14583058C2211yescharacteristic
146#14583056C2211yescharacteristic
147#14583053C2211yescharacteristic
148#14583053C2211yescharacteristic
149#14583053C2211yescharacteristic
150#14583051C2211yescharacteristic
151#14583048C2211yescharacteristic
152#14583048C2211yescharacteristic
153#14583048C2211yescharacteristic
154#14583030C2211yescharacteristic, complemented
155#14583029C2211yescharacteristic, complemented
156#14583028C2211yescharacteristic, complemented
157#14583028C2211yescharacteristic, complemented
158#14583027C2211yescharacteristic, complemented
159#14583027C2211yescharacteristic, complemented
160#14583026C2211yescharacteristic, complemented
161#14583007C2211yescharacteristic, complemented
162#14583006C2211yescharacteristic, complemented
163#14583004C2211yescharacteristic, complemented
164#14583004C2211yescharacteristic, complemented
165#14583004C2211yescharacteristic, complemented
166#14583003C2211yescharacteristic, complemented
167#14583003C2211yescharacteristic, complemented
168#14583003C2211yescharacteristic, complemented
169#14583002C2211yescharacteristic
170#14583001C2211yescharacteristic
171#14583000C2211yescharacteristic
172#14583000C2211yescharacteristic, complemented
173#14583000C2211yescharacteristic, complemented
174#14582999C2211yescharacteristic, complemented
175C4×Dic172C2211yescharacteristic, complemented
176Q16×Dic43C2211yescharacteristic, complemented
177#14582991C2211yescharacteristic, complemented
178SD16×Dic43C2211yescharacteristic
179C4×#10621884C2211yescharacteristic
180C4×#10621883C2211yescharacteristic
181#14582984C2211yescharacteristic
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#559C2211yescharacteristic
189C43×#557C2211yescharacteristic, complemented
190C43×#497C2211yescharacteristic
191C43×#497C2211yescharacteristic, complemented
192C43×#492C2211yescharacteristic
193C43×#464C2211yescharacteristic
194C43×#464C2211yescharacteristic, complemented
195C43×#462C2211yescharacteristic, complemented
196C43×#461C2211yescharacteristic
197C43×#461C2211yescharacteristic, complemented
198C43×#460C2211yescharacteristic
199C43×#446C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic
201C43×#440C2211yescharacteristic, complemented
202C4×Q16×C43C2211yescharacteristic, complemented
203C2×#10621900C2311yescharacteristic
204C2×Q8×D43C2311yescharacteristic
205C2×D4×D43C2311yescharacteristic
206C2×Dic172C2311yescharacteristic
207C2×Dic172C2311yescharacteristic
208C2×#10621885C2311yescharacteristic
209C2×#10621885C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221#13063325—21no—
222#13063325C2311yescharacteristic
223#13063325C2311yescharacteristic
224#13063324—21no—
225#13063324—21no—
226#13063324D411yescharacteristic
227#13063324C2311yescharacteristic
228#13063323—21no—
229#13063323D411yescharacteristic
230#13063323C2311yescharacteristic
231#13063323C2311yescharacteristic
232#13063323C2311yescharacteristic
233#13063323C2311yescharacteristic
234#13063321C2311yescharacteristic
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063319—21no—
245#13063319—21no—
246#13063319—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063317—21no—
252#13063317—21no—
253#13063317—21no—
254#13063317—21no—
255#13063317C2311yescharacteristic
256#13063317C2311yescharacteristic
257#13063316—21no—
258#13063316—21no—
259#13063316—21no—
260#13063316—21no—
261#13063316—21no—
262#13063316—21no—
263#13063316—21no—
264#13063316—21no—
265#13063316C2311yescharacteristic
266#13063316C2311yescharacteristic
267#13063315—21no—
268#13063315—21no—
269#13063315—21no—
270#13063315—21no—
271#13063315—21no—
272#13063315—21no—
273#13063315—21no—
274#13063315—21no—
275#13063315—21no—
276#13063315—21no—
277#13063315—21no—
278#13063315—21no—
279#13063315—21no—
280#13063315—21no—
281#13063315—21no—
282#13063315D411yescharacteristic
283#13063315D411yescharacteristic
284#13063314C2311yescharacteristic
285#13063313C2311yescharacteristic
286#13063313C2311yescharacteristic
287#13063312—21no—
288#13063312C2311yescharacteristic
289#13063312C2311yescharacteristic
290#13063312C2311yescharacteristic
291#13063311—21no—
292#13063311—21no—
293#13063311—21no—
294#13063311—21no—
295#13063309—21no—
296#13063308—21no—
297#13063307—21no—
298#13063307—21no—
299#13063307—21no—
300#13063307—21no—
301#13063306—21no—
302#13063306—21no—
303#13063305—21no—
304#13063305D411yescharacteristic
305#13063305C2311yescharacteristic
306#13063304—21no—
307#13063303—21no—
308#13063303—21no—
309#13063303D411yescharacteristic
310#13063303D411yescharacteristic
311#13063302—21no—
312#13063302—21no—
313#13063302—21no—
314#13063301—21no—
315#13063301D411yescharacteristic
316#13063301C2311yescharacteristic
317#13063301C2311yescharacteristic
318#13063301C2311yescharacteristic
319#13063297—21no—
320#13063297—21no—
321#13063293—21no—
322#13063293—21no—
323Q8×Dic43C2311yescharacteristic
324Q8×Dic43C2311yescharacteristic
325Q8×Dic43C2311yescharacteristic
326Q8×Dic43C2311yescharacteristic
327Q8×Dic43C2311yescharacteristic
328Q8×Dic43C2311yescharacteristic
329Q8×Dic43C2311yescharacteristic
330C4×Dic86—21no—
331C4×Dic86—21no—
332C4×Dic86—21no—
333C4×Dic86—21no—
334C4×Dic86—21no—
335C4×Dic86C2311yescharacteristic
336C4×Dic86C2311yescharacteristic
337C4×Dic86C2311yescharacteristic
338C4×Dic86C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341C4×Dic86C2311yescharacteristic
342C4×Dic86C2311yescharacteristic
343#13063290—21no—
344#13063290—21no—
345#13063290—21no—
346#13063290—21no—
347#13063290—21no—
348#13063290—21no—
349#13063290C2311yescharacteristic
350#13063290C2311yescharacteristic
351C4×D172C2311yescharacteristic
352D4×Dic43—21no—
353D4×Dic43C2311yescharacteristic
354D4×Dic43C2311yescharacteristic
355#13063287C2311yescharacteristic
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362#13063284—21no—
363#13063283—21no—
364#13063283—21no—
365#13063283—21no—
366#13063283C2311yescharacteristic
367#13063282—21no—
368#13063282—21no—
369#13063282—21no—
370#13063282C2311yescharacteristic
371#13063282C2311yescharacteristic
372#13063281—21no—
373#13063281—21no—
374C2×(C2×D43)⋊C4—21no—
375C22⋊C4×D43—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C2×C4×Dic43—21no—
379C42×D43C2311yescharacteristic
380#13063259C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063256C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387C4⋊(C43⋊C8)C2311yescharacteristic
388C4⋊(C43⋊C8)C2311yescharacteristic
389C4⋊(C43⋊C8)C2311yescharacteristic
390Dic43⋊C8C2311yescharacteristic
391Dic43⋊C8C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396#13063250C2311yescharacteristic
397#13063250C2311yescharacteristic
398#13063250C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063245C2311yescharacteristic
422(C2×D43)⋊C8C2311yescharacteristic
423(C2×D43)⋊C8C2311yescharacteristic
424(C2×D43)⋊C8C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426#13063236C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×Q16×C43C2311yescharacteristic
436C2×Q16×C43C2311yescharacteristic
437C2×Q16×C43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C4⋊Q8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446C4⋊Q8×C43C2311yescharacteristic
447#127×C43C2311yescharacteristic
448#125×C43—21no—
449#125×C43—21no—
450#125×C43—21no—
451#124×C43—21no—
452#124×C43C2311yescharacteristic
453#124×C43C2311yescharacteristic
454#123×C43—21no—
455#123×C43—21no—
456C4×Q8×C43—21no—
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×Q8×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×Q8×C43C2311yescharacteristic
462C4×D4×C43—21no—
463C4×D4×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#97×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C2×Q8×C43C2×D411yescharacteristic
480C2×Q8×C43C2411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43C2411yescharacteristic
487C2×D4×C43C2411yescharacteristic
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C22×Dic43—21no—
495C22×Dic43—21no—
496C22×Dic43—21no—
497Q8×D43—41no—
498Q8×D43—41no—
499#10621900—41no—
500#10621900—41no—
501D4×D43—41no—
502D4×D43—41no—
503C2×D172C2411yescharacteristic
504C2×C4×D43—21no—
505C2×C4×D43—21no—
506C2×C4×D43—21no—
507C2×C4×D43C2×D411yescharacteristic
508C2×C4×D43C2×D411yescharacteristic
509C2×C4×D43C2411yescharacteristic
510C2×Dic86—21no—
511C2×Dic86—21no—
512C2×Dic86—21no—
513C2×Dic86C2×D411yescharacteristic
514C2×Dic86C2×D411yescharacteristic
515C2×Dic86C2×D411yescharacteristic
516C2×Dic86C2411yescharacteristic
517C2×Dic86C2411yescharacteristic
518C2×Dic86C2411yescharacteristic
519Q16×C43—41no—
520Q16×C43—41no—
521Q16×C43—41no—
522SD16×C43—41no—
523SD16×C43—41no—
524SD16×C43—41no—
525SD16×C43—41no—
526SD16×C43—41no—
527SD16×C43—41no—
528C2×C8×C43C2411yescharacteristic
529C2×C8×C43C2411yescharacteristic
530C2×C8×C43C2411yescharacteristic
531C2×C8×C43C2411yescharacteristic
532C4⋊C4×C43—21no—
533C4⋊C4×C43—21no—
534C4⋊C4×C43—21no—
535C4⋊C4×C43—21no—
536C4⋊C4×C43—21no—
537C4⋊C4×C43—21no—
538C4⋊C4×C43—21no—
539C4⋊C4×C43—21no—
540C4⋊C4×C43—21no—
541C4⋊C4×C43—21no—
542C4⋊C4×C43C2×D411yescharacteristic
543C4⋊C4×C43C2×D411yescharacteristic
544C4⋊C4×C43C2×D411yescharacteristic
545C4⋊C4×C43C2411yescharacteristic
546C4⋊C4×C43C2411yescharacteristic
547C22⋊C4×C43—21no—
548C22⋊C4×C43—21no—
549C22⋊C4×C43—21no—
550C22⋊C4×C43—21no—
551C22⋊C4×C43—21no—
552C22⋊C4×C43—21no—
553C42×C43—21no—
554C42×C43—21no—
555C42×C43—21no—
556C42×C43—21no—
557C42×C43C2411yescharacteristic
558C42×C43C2411yescharacteristic
559C42×C43C2411yescharacteristic
560C22⋊Dic43—21no—
561C22⋊Dic43—21no—
562C22⋊Dic43—21no—
563C22⋊Dic43—21no—
564C22⋊Dic43—21no—
565C22⋊Dic43—21no—
566C22⋊Dic43—21no—
567C22⋊Dic43—21no—
568#10621885—41no—
569#10621885—41no—
570#10621885—41no—
571#10621885—41no—
572#10621885—41no—
573#10621885—41no—
574#10621885—41no—
575#10621884—41no—
576#10621884—41no—
577#10621884—41no—
578#10621883—41no—
579#10621883—41no—
580(C2×D43)⋊C4—21no—
581(C2×D43)⋊C4—21no—
582(C2×D43)⋊C4—21no—
583(C2×D43)⋊C4—21no—
584(C2×D43)⋊C4—21no—
585(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
594(C2×D43)⋊C4C2×D411yescharacteristic
595(C2×D43)⋊C4C2×D411yescharacteristic
596(C2×D43)⋊C4C2×D411yescharacteristic
597C4⋊Dic43—21no—
598C4⋊Dic43—21no—
599C4⋊Dic43—21no—
600C4⋊Dic43—21no—
601C4⋊Dic43—21no—
602C4⋊Dic43—21no—
603C4⋊Dic43—21no—
604C4⋊Dic43—21no—
605C4⋊Dic43—21no—
606C4⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43C2×D411yescharacteristic
611C4⋊Dic43C2×D411yescharacteristic
612C4⋊Dic43C2×D411yescharacteristic
613C4⋊Dic43C2411yescharacteristic
614C4⋊Dic43C2411yescharacteristic
615C4⋊Dic43C2411yescharacteristic
616C4⋊Dic43C2411yescharacteristic
617Dic43⋊C4—21no—
618Dic43⋊C4—21no—
619Dic43⋊C4—21no—
620Dic43⋊C4—21no—
621Dic43⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
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
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×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43C2×D411yescharacteristic
668C4×Dic43C2×D411yescharacteristic
669C4×Dic43C2411yescharacteristic
670C4×Dic43C2411yescharacteristic
671C4×Dic43C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673C2×C43⋊C8C2411yescharacteristic
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676Dic172—41no—
677Dic172—41no—
678#10621873—41no—
679C23×C43—21no—
680C23×C43—21no—
681C22×D43—21no—
682C22×D43—42no—
683C22×D43—81no—
684C22×D43—81no—
685C22×D43C22×D411yescharacteristic
686Q8×C43—21no—
687Q8×C43—21no—
688Q8×C43—21no—
689Q8×C43—21no—
690Q8×C43—21no—
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—41no—
695D4×C43—21no—
696D4×C43—21no—
697D4×C43—21no—
698D4×C43—21no—
699D4×C43—81no—
700D4×C43—81no—
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×C43C22×D411yescharacteristic
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C22×D411yescharacteristic
713C2×C4×C43C22×D411yescharacteristic
714C2×C4×C43C22×D411yescharacteristic
715C2×C4×C43C2511yescharacteristic
716C22⋊D43—42no—
717C22⋊D43—42no—
718C22⋊D43—81no—
719C22⋊D43—81no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—42no—
728C2×Dic43—81no—
729C2×Dic43—81no—
730C2×Dic43C22×D411yescharacteristic
731C2×Dic43C22×D411yescharacteristic
732C2×Dic43C22×D411yescharacteristic
733C2×Dic43C22×D411yescharacteristic
734C2×Dic43C22×D411yescharacteristic
735C2×Dic43C22×D411yescharacteristic
736C2×Dic43C22×D411yescharacteristic
737D172—21no—
738D172—21no—
739C4×D43—21no—
740C4×D43—21no—
741C4×D43—41no—
742C4×D43—41no—
743C4×D43—42no—
744C4×D43—81no—
745C4×D43—81no—
746Dic86—21no—
747Dic86—21no—
748Dic86—21no—
749Dic86—21no—
750Dic86—21no—
751Dic86—21no—
752Dic86—41no—
753Dic86—41no—
754Dic86—41no—
755Dic86—42no—
756Dic86—42no—
757Dic86—42no—
758C8×C43—21no—
759C8×C43—21no—
760C8×C43—21no—
761C8×C43—21no—
762C43⋊C8—21no—
763C43⋊C8—21no—
764C43⋊C8—21no—
765C43⋊C8—21no—
766#61943—431nomaximal, Sylow
767C22×C43—41no—
768C22×C43—41no—
769C22×C43—41no—
770C22×C43—41no—
771C22×C43—41no—
772C22×C43—41no—
773C22×C43C23×D411yescharacteristic
774C2×D43—21no—
775C2×D43—21no—
776C2×D43—21no—
777C2×D43—41no—
778C2×D43—41no—
779C2×D43—41no—
780C2×D43—162no—
781C4×C43—21no—
782C4×C43—21no—
783C4×C43—21no—
784C4×C43—21no—
785C4×C43—21no—
786C4×C43—21no—
787C4×C43—41no—
788C4×C43—41no—
789C4×C43—41no—
790C4×C43—41no—
791C4×C43—41no—
792C4×C43—41no—
793C4×C43#58511yescharacteristic
794C4×C43#58511yescharacteristic
795Dic43—21no—
796Dic43—21no—
797Dic43—21no—
798Dic43—21no—
799Dic43—21no—
800Dic43—21no—
801Dic43—21no—
802Dic43—41no—
803Dic43—41no—
804Dic43—41no—
805Dic43—41no—
806Dic43—41no—
807Dic43—41no—
808Dic43—41no—
809#3556—431no—
810#3510—431no—
811#3400—431no—
812#3400—431no—
813#3400—431no—
814#3400D4311yescharacteristic, complemented
815#3398—431no—
816#3398—431no—
817#3398—431no—
818#3398—431no—
819#3377—431no—
820#3377—431no—
821#3377—431no—
822#3377—431no—
823#3371—431no—
824#3371—431no—
825#3371—431no—
826#3371—431no—
827#3223—431no—
828#3223—431no—
829#3222—431no—
830#3222—431no—
831#3215—431no—
832#3215—431no—
833#3127—431no—
834#3127—431no—
835#3123—431no—
836#3123—431no—
837#3116—431no—
838#3116—431no—
839#2987—431no—
840C2×C43—81no—
841C2×C43—81no—
842C2×C43#348711yescharacteristic
843C2×C43#358611yescharacteristic
844C2×C43#358611yescharacteristic
845D43—41no—
846D43—81no—
847#564—861no—
848#564—861no—
849#559—431no—
850#559—431no—
851#559—431no—
852#559C2×D4311yescharacteristic
853#557—431no—
854#557—431no—
855#557—431no—
856#557—431no—
857#557—431no—
858#557—431no—
859#557—431no—
860#557—861no—
861#557—861no—
862#557C2×D4311yescharacteristic, complemented
863#556—431no—
864#556—431no—
865#556—431no—
866#556—431no—
867#551—861no—
868#551—861no—
869#551—861no—
870#551—861no—
871#542—861no—
872#542—861no—
873#541—431no—
874#541—431no—
875#541—431no—
876#541—431no—
877#541—861no—
878#541—861no—
879#541—861no—
880#541—861no—
881#536—431no—
882#535—431no—
883#533—431no—
884#533—431no—
885#533—431no—
886#529—861no—
887#529—861no—
888C2×#124—431no—
889#519—431no—
890#518—431no—
891C4×#41—431no—
892#497—431no—
893#497—431no—
894#497—431no—
895#497—431no—
896#497—431no—
897#497—431no—
898#497C2×D4311yescharacteristic
899#497C2×D4311yescharacteristic, complemented
900#494—431no—
901#494—431no—
902#492—431no—
903#492C2×D4311yescharacteristic
904#491—431no—
905#491—431no—
906#490—431no—
907#490—431no—
908#489—431no—
909#489—431no—
910#489—431no—
911#489—431no—
912#488—431no—
913#488—431no—
914#488—431no—
915#488—431no—
916#485—431no—
917#485—431no—
918#485—431no—
919#485—431no—
920#479—431no—
921#479—431no—
922#479—431no—
923#479—431no—
924#478—431no—
925#478—431no—
926#478—431no—
927#478—431no—
928#477—431no—
929#477—431no—
930#476—431no—
931#476—431no—
932#464—431no—
933#464—431no—
934#464—431no—
935#464—431no—
936#464—431no—
937#464—431no—
938#464—431no—
939#464—431no—
940#464—431no—
941#464—431no—
942#464—431no—
943#464—431no—
944#464—431no—
945#464—431no—
946#464C2×D4311yescharacteristic
947#464C2×D4311yescharacteristic, complemented
948#462—431no—
949#462—431no—
950#462—431no—
951#462—431no—
952#462—431no—
953#462—431no—
954#462—431no—
955#462—431no—
956#462—431no—
957#462C2×D4311yescharacteristic, complemented
958#461—431no—
959#461—431no—
960#461—431no—
961#461—431no—
962#461C2×D4311yescharacteristic
963#461C2×D4311yescharacteristic, complemented
964#460—431no—
965#460—431no—
966#460—431no—
967#460C2×D4311yescharacteristic
968#452—431no—
969#452—431no—
970#452—431no—
971#452—431no—
972#451—431no—
973#451—431no—
974#451—431no—
975#451—431no—
976#450—431no—
977#450—431no—
978#450—431no—
979#450—431no—
980#446—431no—
981#446—431no—
982#446—431no—
983#446—431no—
984#446—431no—
985#446—431no—
986#446—431no—
987#446C2×D4311yescharacteristic, complemented
988#441—431no—
989#441—431no—
990#441—431no—
991#441—431no—
992#441—431no—
993#441—431no—
994#441—431no—
995#441—431no—
996#440—431no—
997#440—431no—
998#440—431no—
999#440—431no—
1000#440—431no—
1001#440—431no—
1002#440C2×D4311yescharacteristic
1003#440C2×D4311yescharacteristic, complemented
1004C4×Q16—431no—
1005C4×Q16—431no—
1006C4×Q16—431no—
1007C4×Q16C2×D4311yescharacteristic, complemented
1008C4×SD16—431no—
1009C4×SD16—431no—
1010C4×SD16—431no—
1011C4×SD16—431no—
1012#433—431no—
1013#433—431no—
1014#433—431no—
1015#433—431no—
1016#432—431no—
1017#432—431no—
1018C43#6194311yescharacteristic, complemented, Sylow
1019C2×#41—431no—
1020C22×Q8—431no—
1021C22×D4—431no—
1022C2×Q16—431no—
1023C2×Q16—431no—
1024C2×Q16—431no—
1025C2×Q16—431no—
1026C2×Q16—431no—
1027C2×Q16—431no—
1028C2×Q16—431no—
1029C2×Q16—431no—
1030C2×Q16—431no—
1031C2×Q16C22×D4311yescharacteristic
1032C2×Q16C22×D4311yescharacteristic
1033C2×Q16C22×D4311yescharacteristic
1034C2×SD16—431no—
1035C2×SD16—431no—
1036C2×SD16—431no—
1037C2×SD16—431no—
1038C2×SD16—431no—
1039C2×SD16—431no—
1040C2×SD16C22×D4311yescharacteristic
1041C2×SD16C22×D4311yescharacteristic
1042C2×SD16C22×D4311yescharacteristic
1043C2×SD16C22×D4311yescharacteristic
1044C2×SD16C22×D4311yescharacteristic
1045C2×SD16C22×D4311yescharacteristic
1046C4⋊Q8—431no—
1047C4⋊Q8—431no—
1048C4⋊Q8—431no—
1049C4⋊Q8—431no—
1050C4⋊Q8—431no—
1051C4⋊Q8—431no—
1052C4⋊Q8—431no—
1053C4⋊Q8—431no—
1054C4⋊Q8—431no—
1055C4⋊Q8—861no—
1056C4⋊Q8—861no—
1057C4⋊Q8—861no—
1058C4⋊Q8—861no—
1059C4⋊Q8C22×D4311yescharacteristic
1060C4⋊Q8C22×D4311yescharacteristic
1061C4⋊Q8C22×D4311yescharacteristic
1062#127—431no—
1063#127C22×D4311yescharacteristic
1064#126—861no—
1065#126—861no—
1066#126—861no—
1067#126—861no—
1068#126—861no—
1069#126—861no—
1070#126—861no—
1071#126—861no—
1072#126—861no—
1073#126—861no—
1074#126—861no—
1075#126—861no—
1076#126—861no—
1077#126—861no—
1078#126—861no—
1079#126—861no—
1080#125—21no—
1081#125—21no—
1082#125—21no—
1083#125—431no—
1084#125—431no—
1085#125—431no—
1086#125—431no—
1087#125—431no—
1088#125—431no—
1089#125—861no—
1090#125—861no—
1091#125—861no—
1092#125—861no—
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#125—861no—
1104#125—861no—
1105#125—861no—
1106#125—861no—
1107#125—861no—
1108#125—861no—
1109#125—861no—
1110#125—861no—
1111#125—861no—
1112#125—861no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#124—21no—
1117#124—431no—
1118#124—431no—
1119#124—431no—
1120#124—431no—
1121#124—431no—
1122#124—431no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124C22×D4311yescharacteristic
1129#124C22×D4311yescharacteristic
1130#123—21no—
1131#123—21no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140C22⋊Q8—431no—
1141C22⋊Q8—431no—
1142C22⋊Q8—431no—
1143C22⋊Q8—431no—
1144C22⋊Q8—431no—
1145C22⋊Q8—431no—
1146C22⋊Q8—431no—
1147C22⋊Q8—431no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156#121—861no—
1157#121—861no—
1158#120—861no—
1159#120—861no—
1160C4×Q8—21no—
1161C4×Q8—431no—
1162C4×Q8—431no—
1163C4×Q8—431no—
1164C4×Q8—431no—
1165C4×Q8—431no—
1166C4×Q8—431no—
1167C4×Q8—431no—
1168C4×Q8—431no—
1169C4×Q8—431no—
1170C4×Q8—431no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—431no—
1176C4×Q8—431no—
1177C4×Q8—431no—
1178C4×Q8—861no—
1179C4×Q8—861no—
1180C4×Q8—861no—
1181C4×Q8—861no—
1182C4×Q8—861no—
1183C4×Q8—861no—
1184C4×Q8—861no—
1185C4×Q8—861no—
1186C4×Q8—861no—
1187C4×Q8—861no—
1188C4×Q8—861no—
1189C4×Q8C22×D4311yescharacteristic
1190C4×Q8C22×D4311yescharacteristic
1191C4×Q8C22×D4311yescharacteristic
1192C4×Q8C22×D4311yescharacteristic
1193C4×Q8C22×D4311yescharacteristic
1194C4×D4—21no—
1195C4×D4—431no—
1196C4×D4—431no—
1197C4×D4—431no—
1198C4×D4—431no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4—861no—
1206C4×D4C22×D4311yescharacteristic
1207C4×D4C22×D4311yescharacteristic
1208#117—431no—
1209#117—431no—
1210#117—431no—
1211#117—861no—
1212#117—861no—
1213#117—861no—
1214#117—861no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117—861no—
1220C2×C22⋊C4—861no—
1221C2×C22⋊C4—861no—
1222C2×C22⋊C4—861no—
1223C2×C22⋊C4—861no—
1224C2×C42—431no—
1225C2×C42—861no—
1226#107—431no—
1227#107—431no—
1228#107—431no—
1229#107C22×D4311yescharacteristic
1230#106—431no—
1231#106—431no—
1232#106—431no—
1233#106—431no—
1234C4⋊C8—431no—
1235C4⋊C8—431no—
1236C4⋊C8—431no—
1237C4⋊C8—431no—
1238C4⋊C8—431no—
1239C4⋊C8—431no—
1240C4⋊C8—431no—
1241C4⋊C8—431no—
1242C4⋊C8—431no—
1243C4⋊C8C22×D4311yescharacteristic
1244C4⋊C8C22×D4311yescharacteristic
1245C4⋊C8C22×D4311yescharacteristic
1246#103—431no—
1247#103—431no—
1248#103—431no—
1249#103—431no—
1250#103—431no—
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#103C22×D4311yescharacteristic
1263#103C22×D4311yescharacteristic
1264#103C22×D4311yescharacteristic
1265#103C22×D4311yescharacteristic
1266#102—431no—
1267#102—431no—
1268#102—431no—
1269#102—431no—
1270#102—431no—
1271#102—431no—
1272#102—431no—
1273#102—431no—
1274#102—431no—
1275#102—431no—
1276#102C22×D4311yescharacteristic
1277#102C22×D4311yescharacteristic
1278C22⋊C8—431no—
1279C22⋊C8—431no—
1280C22⋊C8—431no—
1281C22⋊C8—431no—
1282#97—431no—
1283#97—431no—
1284#97—431no—
1285#97—431no—
1286#97—431no—
1287#97—431no—
1288#97C22×D4311yescharacteristic
1289#97C22×D4311yescharacteristic
1290C4×C8—431no—
1291C4×C8—431no—
1292C4×C8—431no—
1293C4×C8C22×D4311yescharacteristic
1294C24—861no—
1295#41—1721no—
1296#41—1721no—
1297C2×Q8—431no—
1298C2×Q8—431no—
1299C2×Q8—431no—
1300C2×Q8—431no—
1301C2×Q8—431no—
1302C2×Q8—431no—
1303C2×Q8—861no—
1304C2×Q8—861no—
1305C2×Q8—861no—
1306C2×Q8—1721no—
1307C2×Q8—1721no—
1308C2×Q8D4×D4311yescharacteristic
1309C2×Q8C23×D4311yescharacteristic
1310C2×Q8C23×D4311yescharacteristic
1311C2×Q8C23×D4311yescharacteristic
1312C2×Q8C23×D4311yescharacteristic
1313C2×D4—21no—
1314C2×D4—21no—
1315C2×D4—431no—
1316C2×D4—861no—
1317C2×D4—861no—
1318C2×D4—861no—
1319C2×D4—861no—
1320C2×D4—1721no—
1321C2×D4—1721no—
1322C2×D4C23×D4311yescharacteristic
1323C2×D4C23×D4311yescharacteristic
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—431no—
1327C22×C4—431no—
1328C22×C4—431no—
1329C22×C4—861no—
1330C22×C4—861no—
1331C22×C4—861no—
1332C22×C4—861no—
1333C22×C4—861no—
1334C22×C4—861no—
1335Q16—41no—
1336Q16—41no—
1337Q16—41no—
1338Q16—1721no—
1339Q16—1721no—
1340Q16—1721no—
1341Q16—1721no—
1342Q16—1721no—
1343Q16—1721no—
1344Q16—1721no—
1345Q16—1721no—
1346Q16—1721no—
1347SD16—41no—
1348SD16—41no—
1349SD16—41no—
1350SD16—41no—
1351SD16—41no—
1352SD16—41no—
1353SD16—1721no—
1354SD16—1721no—
1355SD16—1721no—
1356SD16—1721no—
1357SD16—1721no—
1358SD16—1721no—
1359C2×C8—431no—
1360C2×C8—431no—
1361C2×C8—431no—
1362C2×C8—431no—
1363C2×C8C23×D4311yescharacteristic
1364C2×C8C23×D4311yescharacteristic
1365C2×C8C23×D4311yescharacteristic
1366C2×C8C23×D4311yescharacteristic
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—431no—
1378C4⋊C4—431no—
1379C4⋊C4—431no—
1380C4⋊C4—431no—
1381C4⋊C4—431no—
1382C4⋊C4—431no—
1383C4⋊C4—431no—
1384C4⋊C4—431no—
1385C4⋊C4—431no—
1386C4⋊C4—431no—
1387C4⋊C4—431no—
1388C4⋊C4—431no—
1389C4⋊C4—431no—
1390C4⋊C4—431no—
1391C4⋊C4—431no—
1392C4⋊C4—431no—
1393C4⋊C4—431no—
1394C4⋊C4—861no—
1395C4⋊C4—861no—
1396C4⋊C4—861no—
1397C4⋊C4—861no—
1398C4⋊C4—861no—
1399C4⋊C4—861no—
1400C4⋊C4—861no—
1401C4⋊C4—861no—
1402C4⋊C4—861no—
1403C4⋊C4—861no—
1404C4⋊C4—861no—
1405C4⋊C4—861no—
1406C4⋊C4—861no—
1407C4⋊C4—861no—
1408C4⋊C4—861no—
1409C4⋊C4—861no—
1410C4⋊C4—861no—
1411C4⋊C4—861no—
1412C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1433C4⋊C4D4×D4311yescharacteristic
1434C4⋊C4D4×D4311yescharacteristic
1435C4⋊C4C23×D4311yescharacteristic
1436C4⋊C4C23×D4311yescharacteristic
1437C22⋊C4—21no—
1438C22⋊C4—21no—
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—431no—
1444C22⋊C4—431no—
1445C22⋊C4—431no—
1446C22⋊C4—431no—
1447C22⋊C4—861no—
1448C22⋊C4—861no—
1449C22⋊C4—861no—
1450C22⋊C4—861no—
1451C22⋊C4—861no—
1452C22⋊C4—861no—
1453C22⋊C4—861no—
1454C22⋊C4—861no—
1455C22⋊C4—861no—
1456C22⋊C4—861no—
1457C22⋊C4—861no—
1458C22⋊C4—861no—
1459C22⋊C4—861no—
1460C22⋊C4—861no—
1461C22⋊C4—861no—
1462C22⋊C4—861no—
1463C22⋊C4—861no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C42—21no—
1469C42—21no—
1470C42—21no—
1471C42—21no—
1472C42—431no—
1473C42—431no—
1474C42—431no—
1475C42—431no—
1476C42—431no—
1477C42—861no—
1478C42—861no—
1479C42—861no—
1480C42—861no—
1481C42—861no—
1482C42—861no—
1483C42—861no—
1484C42—861no—
1485C42—861no—
1486C42—861no—
1487C42—861no—
1488C42—861no—
1489C42—861no—
1490C42—861no—
1491C42—861no—
1492C42C23×D4311yescharacteristic
1493C42C23×D4311yescharacteristic
1494C42C23×D4311yescharacteristic
1495C23—21no—
1496C23—21no—
1497C23—431no—
1498C23—861no—
1499C23—3441no—
1500C23—3441no—
1501C23—1722no—
1502Q8—21no—
1503Q8—21no—
1504Q8—21no—
1505Q8—21no—
1506Q8—21no—
1507Q8—21no—
1508Q8—21no—
1509Q8—21no—
1510Q8—41no—
1511Q8—861no—
1512Q8—861no—
1513Q8—861no—
1514Q8—861no—
1515Q8—861no—
1516Q8—861no—
1517Q8—1721no—
1518Q8—1721no—
1519Q8—1721no—
1520Q8—1722no—
1521Q8—1722no—
1522Q8—1722no—
1523D4—21no—
1524D4—21no—
1525D4—21no—
1526D4—21no—
1527D4—81no—
1528D4—81no—
1529D4—861no—
1530D4—861no—
1531D4—3441no—
1532D4—3441no—
1533D4—1722no—
1534D4—1722no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—81no—
1542C2×C4—81no—
1543C2×C4—431no—
1544C2×C4—431no—
1545C2×C4—431no—
1546C2×C4—431no—
1547C2×C4—431no—
1548C2×C4—431no—
1549C2×C4—431no—
1550C2×C4—861no—
1551C2×C4—861no—
1552C2×C4—861no—
1553C2×C4—861no—
1554C2×C4—861no—
1555C2×C4—861no—
1556C2×C4—861no—
1557C2×C4—861no—
1558C2×C4—861no—
1559C2×C4—3441no—
1560C2×C4—3441no—
1561C2×C4—3441no—
1562C2×C4—3441no—
1563C2×C4—1721no—
1564C2×C4—1721no—
1565C2×C4—1722no—
1566C2×C4—1722no—
1567C2×C4C2×D4×D4311yescharacteristic
1568C2×C4C2×D4×D4311yescharacteristic
1569C2×C4C2×D4×D4311yescharacteristic
1570C2×C4C2×D4×D4311yescharacteristic
1571C2×C4C2×D4×D4311yescharacteristic
1572C2×C4C2×D4×D4311yescharacteristic
1573C2×C4C24×D4311yescharacteristic
1574C8—21no—
1575C8—21no—
1576C8—21no—
1577C8—21no—
1578C8—861no—
1579C8—861no—
1580C8—861no—
1581C8—861no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—861no—
1589C22—861no—
1590C22—861no—
1591C22—1721no—
1592C22—1721no—
1593C22—1721no—
1594C22—6882no—
1595C22C22×D4×D4311yescharacteristic
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—21no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—861no—
1609C4—861no—
1610C4—861no—
1611C4—861no—
1612C4—861no—
1613C4—861no—
1614C4—861no—
1615C4—1721no—
1616C4—1721no—
1617C4—1721no—
1618C4—1721no—
1619C4—1721no—
1620C4—1721no—
1621C4—1721no—
1622C4#1458373411yescharacteristic
1623C4#1458373511yescharacteristic
1624C2—81no—
1625C2—81no—
1626C2—3441no—
1627C2—1721no—
1628C2#1914824811yescharacteristic
1629C2#1914937711yescharacteristic
1630C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3400C2
socleC22×C43C23×D4
prime radical#14583462C22
hypercenter#3400D43
hypocenterC43#61943
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3400

Complements

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

NH ≅ G/Ntype
1. #19149087C2semidirect
3. #19147653C2semidirect
4. #19147645C2semidirect
5. #19147643C2semidirect
6. #19147630C2semidirect
7. #19147623C2semidirect
8. #19147622C2semidirect
9. #19147621C2semidirect
10. #19147439C2semidirect
11. #19147438C2semidirect
12. #19147434C2semidirect
13. #19147433C2semidirect
14. #19147368C2semidirect
15. #19147367C2semidirect
16. #19147357C2semidirect
17. #19147356C2semidirect
18. #19145675C2semidirect
19. #19145673C2semidirect
22. #19145596C2semidirect
23. #19145593C2semidirect
24. #19144893C2semidirect
25. #19144892C2semidirect
26. #19144846C2semidirect
27. #19144845C2semidirect
28. #19144754C2semidirect
29. #19144753C2semidirect
30. #19143698C2semidirect
31. C43×#3400C2semidirect
37. #14583628C22semidirect
39. #14583627C22semidirect
41. #14583625C22semidirect
42. #14583625C22semidirect
43. #14583624C22semidirect
44. #14583624C22semidirect
45. #14583624C22semidirect
80. #14583290C22semidirect
81. #14583278C22semidirect
82. #14583277C22semidirect
84. #14583268C22semidirect
85. #14583266C22semidirect
93. #14583253C22semidirect
95. #14583252C22semidirect
100. #14583208C22semidirect
101. #14583207C22semidirect
102. #14583206C22semidirect
103. #14583205C22semidirect
108. #14583195C22semidirect
109. #14583193C22semidirect
110. #14583189C22semidirect
111. #14583187C22semidirect
122. #14583119C22semidirect
123. #14583119C22semidirect
125. #14583118C22semidirect
126. #14583110C22semidirect
127. #14583109C22semidirect
128. #14583108C22semidirect
129. #14583108C22semidirect
130. #14583107C22semidirect
131. #14583107C22semidirect
132. #14583107C22semidirect
133. #14583106C22semidirect
134. #14583106C22semidirect
137. #14583102C22semidirect
154. #14583030C22semidirect
155. #14583029C22semidirect
156. #14583028C22semidirect
157. #14583028C22semidirect
158. #14583027C22semidirect
159. #14583027C22semidirect
160. #14583026C22semidirect
161. #14583007C22semidirect
162. #14583006C22semidirect
163. #14583004C22semidirect
164. #14583004C22semidirect
165. #14583004C22semidirect
166. #14583003C22semidirect
167. #14583003C22semidirect
168. #14583003C22semidirect
172. #14583000C22semidirect
173. #14583000C22semidirect
174. #14582999C22semidirect
175. C4×Dic172C22semidirect
176. Q16×Dic43C22semidirect
177. #14582991C22semidirect
189. C43×#557C22semidirect
191. C43×#497C22semidirect
194. C43×#464C22semidirect
195. C43×#462C22semidirect
197. C43×#461C22semidirect
199. C43×#446C22semidirect
201. C43×#440C22semidirect
202. C4×Q16×C43C22semidirect
814. #3400D43semidirect
862. #557C2×D43semidirect
899. #497C2×D43semidirect
947. #464C2×D43semidirect
957. #462C2×D43semidirect
963. #461C2×D43semidirect
987. #446C2×D43semidirect
1003. #440C2×D43semidirect
1007. C4×Q16C2×D43semidirect
1018. C43#61943semidirect

Maximal subgroups

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

subgroupindex
#191490872
#191484882
#191476532
#191476452
#191476432
#191476302
#191476232
#191476222
#191476212
#191474392
#191474382
#191474342
#191474332
#191473682
#191473672
#191473572
#191473562
#191456752
#191456732
#191456662
#191456602
#191455962
#191455932
#191448932
#191448922
#191448462
#191448452
#191447542
#191447532
#191436982
C43×#34002
#6194343