Finite Group Databasebeta

← #25987334

Subgroups — #25987334

Order 11008.

1606 conjugacy classes of subgroups.

The subgroup lattice has 1554 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149082C211yesmaximal, characteristic
2#19148402C211yesmaximal, characteristic, complemented
3#19147560C211yesmaximal, characteristic, complemented
4#19147558C211yesmaximal, characteristic, complemented
5#19147530C211yesmaximal, characteristic, complemented
6#19147500C211yesmaximal, characteristic, complemented
7#19147487C211yesmaximal, characteristic, complemented
8#19147481C211yesmaximal, characteristic, complemented
9Q16×Dic86C211yesmaximal, characteristic, complemented
10#19147471C211yesmaximal, characteristic, complemented
11#19147443C211yesmaximal, characteristic, complemented
12#19147431C211yesmaximal, characteristic, complemented
13#19147393C211yesmaximal, characteristic, complemented
14#19147330C211yesmaximal, characteristic, complemented
15#19147277C211yesmaximal, characteristic, complemented
16#19147275C211yesmaximal, characteristic, complemented
17#19147270C211yesmaximal, characteristic, complemented
18#19145875C211yesmaximal, characteristic
19#19145871C211yesmaximal, characteristic
20#19145860C211yesmaximal, characteristic, complemented
21#19145856C211yesmaximal, characteristic, complemented
22#19145769C211yesmaximal, characteristic
23#19145753C211yesmaximal, characteristic, complemented
24#19144893C211yesmaximal, characteristic, complemented
25#19144892C211yesmaximal, characteristic, complemented
26#19144821C211yesmaximal, characteristic
27#19144820C211yesmaximal, characteristic
28#19144674C211yesmaximal, characteristic
29#19144632C211yesmaximal, characteristic, complemented
30#19143695C211yesmaximal, characteristic, complemented
31C43×#3364C211yesmaximal, characteristic, complemented
32#14583651—21no—
33#14583650—21no—
34Q8×Dic86C2211yescharacteristic
35Q8×Dic86C2211yescharacteristic
36#14583629—21no—
37#14583629C2211yescharacteristic
38#14583627—21no—
39#14583627C2211yescharacteristic
40#14583627C2211yescharacteristic
41#14583626—21no—
42#14583626—21no—
43#14583626C2211yescharacteristic
44#14583626C2211yescharacteristic
45#14583625C2211yescharacteristic
46#14583625C2211yescharacteristic
47#14583625C2211yescharacteristic
48#14583624C2211yescharacteristic
49#14583618C2211yescharacteristic
50#14583618C2211yescharacteristic
51#14583616—21no—
52#14583608C2211yescharacteristic
53#14583582—21no—
54#14583529—21no—
55#14583529C2211yescharacteristic
56#14583528—21no—
57#14583526—21no—
58#14583526C2211yescharacteristic
59#14583518C2211yescharacteristic
60#14583514C2211yescharacteristic
61#14583511—21no—
62#14583510C2211yescharacteristic
63#14583507C2211yescharacteristic
64#14583506—21no—
65#14583506—21no—
66#14583455—21no—
67#14583455C2211yescharacteristic
68#14583453—21no—
69#14583453C2211yescharacteristic
70#14583453C2211yescharacteristic
71#14583428C2211yescharacteristic
72#14583375C2211yescharacteristic
73#14583375C2211yescharacteristic
74C4×Q8×D43C2211yescharacteristic
75#14583309C2211yescharacteristic
76#14583307C2211yescharacteristic
77#14583307C2211yescharacteristic
78#14583305C2211yescharacteristic
79#14583304C2211yescharacteristic
80#14583303C2211yescharacteristic
81#14583303C2211yescharacteristic
82#14583301C2211yescharacteristic
83#14583301C2211yescharacteristic
84#14583299C2211yescharacteristic
85#14583298C2211yescharacteristic
86#14583296C2211yescharacteristic
87#14583267C2211yescharacteristic
88#14583266C2211yescharacteristic
89#14583258C2211yescharacteristic
90#14583257C2211yescharacteristic
91#14583253C2211yescharacteristic
92#14583252C2211yescharacteristic
93#14583248C2211yescharacteristic
94#14583248C2211yescharacteristic
95#14583248C2211yescharacteristic
96#14583243C2211yescharacteristic
97#14583242C2211yescharacteristic
98#14583239C2211yescharacteristic
99#14583239C2211yescharacteristic
100#14583238C2211yescharacteristic
101#14583238C2211yescharacteristic
102#14583236C2211yescharacteristic
103#14583233C2211yescharacteristic
104#14583228C2211yescharacteristic
105#14583222C2211yescharacteristic
106#14583221C2211yescharacteristic
107#14583211C2211yescharacteristic
108#14583208C2211yescharacteristic
109#14583208C2211yescharacteristic
110#14583208C2211yescharacteristic
111#14583207C2211yescharacteristic
112#14583207C2211yescharacteristic
113#14583207C2211yescharacteristic
114#14583207C2211yescharacteristic
115#14583206C2211yescharacteristic
116#14583206C2211yescharacteristic
117#14583206C2211yescharacteristic
118#14583205C2211yescharacteristic
119#14583204C2211yescharacteristic
120#14583203C2211yescharacteristic
121#14583203C2211yescharacteristic
122#14583199C2211yescharacteristic
123#14583197C2211yescharacteristic
124#14583194C2211yescharacteristic
125#14583194C2211yescharacteristic
126#14583193C2211yescharacteristic
127#14583192C2211yescharacteristic
128#14583192C2211yescharacteristic
129#14583192C2211yescharacteristic
130#14583192C2211yescharacteristic
131#14583192C2211yescharacteristic
132#14583191C2211yescharacteristic
133#14583187C2211yescharacteristic
134#14583185C2211yescharacteristic
135#14583185C2211yescharacteristic
136#14583183C2211yescharacteristic
137#14583182C2211yescharacteristic
138#14583182C2211yescharacteristic
139#14583177C2211yescharacteristic
140#14583177C2211yescharacteristic
141#14583120C2211yescharacteristic
142#14583119C2211yescharacteristic
143#14583118C2211yescharacteristic
144#14583118C2211yescharacteristic
145#14583108C2211yescharacteristic
146#14583108C2211yescharacteristic
147#14583107C2211yescharacteristic
148#14583107C2211yescharacteristic
149#14583106C2211yescharacteristic
150#14583056C2211yescharacteristic
151#14583053C2211yescharacteristic
152#14583053C2211yescharacteristic
153#14583036C2211yescharacteristic
154#14583030C2211yescharacteristic
155#14583029C2211yescharacteristic
156#14583028C2211yescharacteristic
157#14583028C2211yescharacteristic
158C8×Dic86C2211yescharacteristic
159C8×Dic86C2211yescharacteristic
160#14583023C2211yescharacteristic
161#14583006C2211yescharacteristic
162#14583006C2211yescharacteristic
163#14583004C2211yescharacteristic
164#14583004C2211yescharacteristic
165#14583004C2211yescharacteristic
166#14583003C2211yescharacteristic
167#14582999C2211yescharacteristic
168#14582996C2211yescharacteristic
169C4×Dic172C2211yescharacteristic
170C4×Dic172C2211yescharacteristic
171C4×Dic172C2211yescharacteristic
172Q16×Dic43C2211yescharacteristic
173Q16×Dic43C2211yescharacteristic
174C4×#10621885C2211yescharacteristic
175C4×#10621885C2211yescharacteristic
176#14582991C2211yescharacteristic
177#14582991C2211yescharacteristic
178#14582991C2211yescharacteristic
179#14582990C2211yescharacteristic
180SD16×Dic43C2211yescharacteristic
181SD16×Dic43C2211yescharacteristic
182#14582959C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582958C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582951C2211yescharacteristic
187#14582950C2211yescharacteristic
188C43×#557C2211yescharacteristic
189C43×#556C2211yescharacteristic
190C43×#488C2211yescharacteristic
191C43×#488C2211yescharacteristic
192C43×#487C2211yescharacteristic
193C43×#479C2211yescharacteristic
194C43×#479C2211yescharacteristic
195C43×#474C2211yescharacteristic
196C43×#464C2211yescharacteristic
197C43×#464C2211yescharacteristic
198C43×#462C2211yescharacteristic
199C8×Q8×C43C2211yescharacteristic
200C4×Q16×C43C2211yescharacteristic
201C4×Q16×C43C2211yescharacteristic
202C4×SD16×C43C2211yescharacteristic
203C2×Q8×D43C2311yescharacteristic
204C2×Dic172C2311yescharacteristic
205C2×#10621885C2311yescharacteristic
206C2×#10621885C2311yescharacteristic
207C2×#10621885C2311yescharacteristic
208C2×#10621883C2311yescharacteristic
209#13063325—21no—
210#13063325—21no—
211#13063325C2311yescharacteristic
212#13063325C2311yescharacteristic
213#13063324—21no—
214#13063324—21no—
215#13063324—21no—
216#13063324—21no—
217#13063324—21no—
218#13063324—21no—
219#13063324—21no—
220#13063324—21no—
221#13063324—21no—
222#13063324—21no—
223#13063324—21no—
224#13063324D411yescharacteristic
225#13063324C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063324C2311yescharacteristic
228#13063324C2311yescharacteristic
229#13063324C2311yescharacteristic
230#13063324C2311yescharacteristic
231#13063323—21no—
232#13063323—21no—
233#13063323—21no—
234#13063323—21no—
235#13063323—21no—
236#13063323D411yescharacteristic
237#13063323C2311yescharacteristic
238#13063323C2311yescharacteristic
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063319—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063317—21no—
251#13063317—21no—
252#13063317—21no—
253#13063317—21no—
254#13063317C2311yescharacteristic
255#13063317C2311yescharacteristic
256#13063317C2311yescharacteristic
257#13063317C2311yescharacteristic
258#13063316—21no—
259#13063316—21no—
260#13063316—21no—
261#13063316—21no—
262#13063316C2311yescharacteristic
263#13063316C2311yescharacteristic
264#13063316C2311yescharacteristic
265#13063315—21no—
266#13063315—21no—
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#13063315D411yescharacteristic
282#13063315D411yescharacteristic
283#13063312C2311yescharacteristic
284#13063311—21no—
285#13063311—21no—
286#13063309—21no—
287#13063308—21no—
288#13063307—21no—
289#13063305—21no—
290#13063305D411yescharacteristic
291#13063305C2311yescharacteristic
292#13063304—21no—
293#13063304—21no—
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063303D411yescharacteristic
300#13063303D411yescharacteristic
301#13063302—21no—
302#13063302—21no—
303#13063302—21no—
304#13063302—21no—
305#13063302—21no—
306#13063301—21no—
307#13063301D411yescharacteristic
308#13063301C2311yescharacteristic
309#13063301C2311yescharacteristic
310#13063296C2311yescharacteristic
311Q8×Dic43C2311yescharacteristic
312Q8×Dic43C2311yescharacteristic
313Q8×Dic43C2311yescharacteristic
314Q8×Dic43C2311yescharacteristic
315Q8×Dic43C2311yescharacteristic
316Q8×Dic43C2311yescharacteristic
317Q8×Dic43C2311yescharacteristic
318C4×Dic86—21no—
319C4×Dic86—21no—
320C4×Dic86—21no—
321C4×Dic86—21no—
322C4×Dic86—21no—
323C4×Dic86—21no—
324C4×Dic86—21no—
325C4×Dic86—21no—
326C4×Dic86—21no—
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333C4×Dic86C2311yescharacteristic
334C4×Dic86C2311yescharacteristic
335C4×Dic86C2311yescharacteristic
336#13063290—21no—
337#13063290—21no—
338#13063290—21no—
339#13063290—21no—
340#13063290—21no—
341#13063290—21no—
342#13063290—21no—
343#13063290—21no—
344#13063290—21no—
345#13063290—21no—
346#13063290—21no—
347#13063290C2311yescharacteristic
348#13063290C2311yescharacteristic
349#13063290C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351D4×Dic43C2311yescharacteristic
352(C22⋊D43)⋊C4—21no—
353#13063283—21no—
354#13063283—21no—
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063282—21no—
358#13063282—21no—
359#13063282—21no—
360#13063282C2311yescharacteristic
361#13063282C2311yescharacteristic
362#13063281—21no—
363#13063281—21no—
364#13063281—21no—
365C2×Dic43⋊C4—21no—
366C4⋊C4×D43—21no—
367C4⋊C4×D43C2311yescharacteristic
368C42×D43—21no—
369C42×D43C2311yescharacteristic
370#13063259C2311yescharacteristic
371#13063259C2311yescharacteristic
372#13063259C2311yescharacteristic
373#13063259C2311yescharacteristic
374#13063259C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391C4⋊(C43⋊C8)C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422(C2×D43)⋊C8C2311yescharacteristic
423(C2×D43)⋊C8C2311yescharacteristic
424(C2×D43)⋊C8C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426#13063236C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430C4×C43⋊C8C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×Q16×C43C2311yescharacteristic
436C2×Q16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C4⋊Q8×C43—21no—
439C4⋊Q8×C43C2311yescharacteristic
440C4⋊Q8×C43C2311yescharacteristic
441#126×C43—21no—
442#126×C43—21no—
443#125×C43—21no—
444#125×C43—21no—
445#125×C43C2311yescharacteristic
446#125×C43C2311yescharacteristic
447#124×C43C2311yescharacteristic
448#124×C43C2311yescharacteristic
449C22⋊Q8×C43—21no—
450C4×Q8×C43—21no—
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×Q8×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#117×C43—21no—
459#107×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#106×C43C2311yescharacteristic
462C4⋊C8×C43C2311yescharacteristic
463C4⋊C8×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465#103×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475C4×C8×C43C2311yescharacteristic
476C4×C8×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C2×Q8×C43—21no—
479C2×Q8×C43C2×D411yescharacteristic
480C2×Q8×C43C2411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43C2411yescharacteristic
484C22×C4×C43—21no—
485C2×C22⋊D43—21no—
486C22×Dic43—21no—
487C22×Dic43—21no—
488Q8×D43—22no—
489Q8×D43—22no—
490C2×C4×D43—21no—
491C2×C4×D43—21no—
492C2×C4×D43C2×D411yescharacteristic
493C2×C4×D43C2×D411yescharacteristic
494C2×C4×D43C2411yescharacteristic
495C2×Dic86—21no—
496C2×Dic86—21no—
497C2×Dic86—21no—
498C2×Dic86—21no—
499C2×Dic86—21no—
500C2×Dic86—21no—
501C2×Dic86—21no—
502C2×Dic86—21no—
503C2×Dic86—21no—
504C2×Dic86C2×D411yescharacteristic
505C2×Dic86C2×D411yescharacteristic
506C2×Dic86C2×D411yescharacteristic
507C2×Dic86C2411yescharacteristic
508C2×Dic86C2411yescharacteristic
509Q16×C43—22no—
510Q16×C43—22no—
511SD16×C43—22no—
512C2×C8×C43C2411yescharacteristic
513C2×C8×C43C2411yescharacteristic
514C2×C8×C43C2411yescharacteristic
515C2×C8×C43C2411yescharacteristic
516C4⋊C4×C43—21no—
517C4⋊C4×C43—21no—
518C4⋊C4×C43—21no—
519C4⋊C4×C43—21no—
520C4⋊C4×C43—21no—
521C4⋊C4×C43—21no—
522C4⋊C4×C43—21no—
523C4⋊C4×C43—21no—
524C4⋊C4×C43—21no—
525C4⋊C4×C43—21no—
526C4⋊C4×C43—21no—
527C4⋊C4×C43—21no—
528C4⋊C4×C43C2×D411yescharacteristic
529C4⋊C4×C43C2×D411yescharacteristic
530C4⋊C4×C43C2×D411yescharacteristic
531C4⋊C4×C43C2411yescharacteristic
532C4⋊C4×C43C2411yescharacteristic
533C4⋊C4×C43C2411yescharacteristic
534C4⋊C4×C43C2411yescharacteristic
535C22⋊C4×C43—21no—
536C22⋊C4×C43—21no—
537C22⋊C4×C43—21no—
538C22⋊C4×C43—21no—
539C22⋊C4×C43—21no—
540C42×C43—21no—
541C42×C43—21no—
542C42×C43—21no—
543C42×C43—21no—
544C42×C43—21no—
545C42×C43C2411yescharacteristic
546C42×C43C2411yescharacteristic
547C42×C43C2411yescharacteristic
548C22⋊Dic43—21no—
549C22⋊Dic43—21no—
550C22⋊Dic43—21no—
551C22⋊Dic43—21no—
552C22⋊Dic43—21no—
553#10621885—22no—
554#10621885—22no—
555#10621885—22no—
556#10621883—22no—
557(C2×D43)⋊C4—21no—
558(C2×D43)⋊C4—21no—
559(C2×D43)⋊C4—21no—
560(C2×D43)⋊C4—21no—
561(C2×D43)⋊C4—21no—
562(C2×D43)⋊C4C2×D411yescharacteristic
563(C2×D43)⋊C4C2×D411yescharacteristic
564(C2×D43)⋊C4C2×D411yescharacteristic
565(C2×D43)⋊C4C2×D411yescharacteristic
566C4⋊Dic43—21no—
567C4⋊Dic43—21no—
568C4⋊Dic43—21no—
569C4⋊Dic43—21no—
570C4⋊Dic43—21no—
571C4⋊Dic43—21no—
572C4⋊Dic43—21no—
573C4⋊Dic43—21no—
574C4⋊Dic43—21no—
575C4⋊Dic43—21no—
576C4⋊Dic43—21no—
577C4⋊Dic43—21no—
578C4⋊Dic43—21no—
579C4⋊Dic43C2×D411yescharacteristic
580C4⋊Dic43C2×D411yescharacteristic
581C4⋊Dic43C2×D411yescharacteristic
582C4⋊Dic43C2411yescharacteristic
583C4⋊Dic43C2411yescharacteristic
584C4⋊Dic43C2411yescharacteristic
585C4⋊Dic43C2411yescharacteristic
586C4⋊Dic43C2411yescharacteristic
587C4⋊Dic43C2411yescharacteristic
588Dic43⋊C4—21no—
589Dic43⋊C4—21no—
590Dic43⋊C4—21no—
591Dic43⋊C4—21no—
592Dic43⋊C4—21no—
593Dic43⋊C4—21no—
594Dic43⋊C4—21no—
595Dic43⋊C4—21no—
596Dic43⋊C4—21no—
597Dic43⋊C4—21no—
598Dic43⋊C4—21no—
599Dic43⋊C4—21no—
600Dic43⋊C4—21no—
601Dic43⋊C4—21no—
602Dic43⋊C4—21no—
603Dic43⋊C4—21no—
604Dic43⋊C4—21no—
605Dic43⋊C4—21no—
606Dic43⋊C4—21no—
607Dic43⋊C4—21no—
608Dic43⋊C4—21no—
609Dic43⋊C4—21no—
610Dic43⋊C4—21no—
611Dic43⋊C4—21no—
612Dic43⋊C4—21no—
613Dic43⋊C4—21no—
614Dic43⋊C4—21no—
615Dic43⋊C4—21no—
616Dic43⋊C4—21no—
617Dic43⋊C4—21no—
618Dic43⋊C4—21no—
619Dic43⋊C4—21no—
620Dic43⋊C4—21no—
621Dic43⋊C4C2×D411yescharacteristic
622Dic43⋊C4C2×D411yescharacteristic
623Dic43⋊C4C2×D411yescharacteristic
624Dic43⋊C4C2×D411yescharacteristic
625Dic43⋊C4C2×D411yescharacteristic
626Dic43⋊C4C2×D411yescharacteristic
627Dic43⋊C4C2×D411yescharacteristic
628Dic43⋊C4C2×D411yescharacteristic
629Dic43⋊C4C2×D411yescharacteristic
630Dic43⋊C4C2×D411yescharacteristic
631C4×Dic43—21no—
632C4×Dic43—21no—
633C4×Dic43—21no—
634C4×Dic43—21no—
635C4×Dic43—21no—
636C4×Dic43—21no—
637C4×Dic43—21no—
638C4×Dic43—21no—
639C4×Dic43—21no—
640C4×Dic43—21no—
641C4×Dic43—21no—
642C4×Dic43—21no—
643C4×Dic43—21no—
644C4×Dic43—21no—
645C4×Dic43—21no—
646C4×Dic43—21no—
647C4×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43C2×D411yescharacteristic
650C4×Dic43C2×D411yescharacteristic
651C4×Dic43C2411yescharacteristic
652C4×Dic43C2411yescharacteristic
653C4×Dic43C2411yescharacteristic
654C2×C43⋊C8C2411yescharacteristic
655C2×C43⋊C8C2411yescharacteristic
656C2×C43⋊C8C2411yescharacteristic
657C2×C43⋊C8C2411yescharacteristic
658Dic172—22no—
659C23×C43—21no—
660C22×D43C22×D411yescharacteristic
661Q8×C43—21no—
662Q8×C43—21no—
663Q8×C43—21no—
664Q8×C43—21no—
665Q8×C43—21no—
666Q8×C43—41no—
667Q8×C43—81no—
668Q8×C432−1+412yes—
669D4×C43—21no—
670D4×C43—21no—
671C2×C4×C43—21no—
672C2×C4×C43—21no—
673C2×C4×C43—21no—
674C2×C4×C43—21no—
675C2×C4×C43—21no—
676C2×C4×C43—21no—
677C2×C4×C43—21no—
678C2×C4×C43—81no—
679C2×C4×C43C22×D411yescharacteristic
680C2×C4×C43C22×D411yescharacteristic
681C2×C4×C43C22×D411yescharacteristic
682C2×C4×C43C22×D411yescharacteristic
683C2×C4×C43C22×D411yescharacteristic
684C2×C4×C43C22×D411yescharacteristic
685C2×C4×C43C2511yescharacteristic
686C22⋊D43—81no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—21no—
690C2×Dic43—21no—
691C2×Dic43—21no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—42no—
696C2×Dic43—81no—
697C2×Dic43C22×D411yescharacteristic
698C2×Dic43C22×D411yescharacteristic
699C2×Dic43C22×D411yescharacteristic
700C2×Dic43C22×D411yescharacteristic
701C2×Dic43C22×D411yescharacteristic
702C2×Dic43C22×D411yescharacteristic
703C2×Dic43C22×D411yescharacteristic
704C4×D43—24no—
705C4×D43—21no—
706C4×D43—21no—
707C4×D43—22no—
708C4×D43—41no—
709C4×D43—81no—
710Dic86—24no—
711Dic86—21no—
712Dic86—22no—
713Dic86—22no—
714Dic86—21no—
715Dic86—21no—
716Dic86—41no—
717Dic86—42no—
718Dic86—81no—
719Dic86—81no—
720Dic86—81no—
721Dic86—81no—
722Dic86—81no—
723Dic86—81no—
724Dic86—81no—
725Dic862−1+412yes—
726C8×C43—21no—
727C8×C43—21no—
728C8×C43—21no—
729C8×C43—21no—
730C43⋊C8—21no—
731C43⋊C8—21no—
732C43⋊C8—21no—
733C43⋊C8—21no—
734#61866—431nomaximal, Sylow
735C22×C43—41no—
736C22×C43—41no—
737C22×C43—41no—
738C22×C43C23×D411yescharacteristic
739C2×D43—21no—
740C2×D43—21no—
741C2×D43—21no—
742C4×C43—21no—
743C4×C43—21no—
744C4×C43—21no—
745C4×C43—22no—
746C4×C43—21no—
747C4×C43—21no—
748C4×C43—21no—
749C4×C43—41no—
750C4×C43—41no—
751C4×C43—41no—
752C4×C43—41no—
753C4×C43—41no—
754C4×C43—41no—
755C4×C43C2×2−1+411yescharacteristic
756C4×C43C2×2−1+411yescharacteristic
757Dic43—21no—
758Dic43—21no—
759Dic43—21no—
760Dic43—21no—
761Dic43—22no—
762Dic43—21no—
763Dic43—21no—
764Dic43—41no—
765Dic43—41no—
766Dic43—41no—
767Dic43—41no—
768Dic43—41no—
769Dic43—41no—
770Dic43—41no—
771Dic43#57812yes—
772#3555—431no—
773#3502—431no—
774#3390—431no—
775#3390—431no—
776#3387—431no—
777#3385—431no—
778#3383—431no—
779#3383—431no—
780Q8×Q16—431no—
781#3381—431no—
782#3377—431no—
783#3377—431no—
784#3374—431no—
785#3369—431no—
786#3364—431no—
787#3364—431no—
788#3364D4311yescharacteristic, complemented
789#3363—431no—
790#3243—431no—
791#3243—431no—
792#3242—431no—
793#3242—431no—
794#3233—431no—
795#3231—431no—
796#3127—431no—
797#3127—431no—
798#3121—431no—
799#3121—431no—
800#3108—431no—
801#3104—431no—
802#2986—431no—
803C2×C43—81no—
804C2×C43#348611yescharacteristic
805C2×C43C2×#57811yescharacteristic
806C2×C43#358411yescharacteristic
807D43—41no—
808#563—861no—
809#563—861no—
810Q82—431no—
811Q82—431no—
812Q82—431no—
813Q82—861no—
814#557—431no—
815#557—431no—
816#557—431no—
817#557—431no—
818#557—431no—
819#557—431no—
820#557—431no—
821#557—431no—
822#557—861no—
823#557—861no—
824#557—861no—
825#557C2×D4311yescharacteristic
826#556—431no—
827#556—431no—
828#556—861no—
829#556C2×D4311yescharacteristic
830#554—431no—
831#552—861no—
832#544—431no—
833#544—431no—
834#544—861no—
835#544—861no—
836#544—861no—
837#542—431no—
838#542—431no—
839#541—431no—
840#541—431no—
841#541—861no—
842#541—861no—
843#541—861no—
844#533—431no—
845#533—431no—
846#533—431no—
847#533—861no—
848#533—861no—
849#529—431no—
850#519—431no—
851#519—431no—
852C2×C4×Q8—431no—
853#501—431no—
854#501—431no—
855#501—431no—
856#501—431no—
857#500—431no—
858#500—431no—
859#500—431no—
860#499—431no—
861#499—431no—
862#499—431no—
863#499—431no—
864#498—431no—
865#491—431no—
866#491—431no—
867#489—431no—
868#489—431no—
869#488—431no—
870#488—431no—
871#488C2×D4311yescharacteristic
872#488C2×D4311yescharacteristic
873#487—431no—
874#487—431no—
875#487—431no—
876#487C2×D4311yescharacteristic
877#485—431no—
878#485—431no—
879#485—431no—
880#485—431no—
881#485—431no—
882#485—431no—
883#484—431no—
884#484—431no—
885#483—431no—
886#482—431no—
887#482—431no—
888#480—431no—
889#479—431no—
890#479—431no—
891#479—431no—
892#479—431no—
893#479—431no—
894#479—431no—
895#479—431no—
896#479—431no—
897#479—431no—
898#479—431no—
899#479—431no—
900#479—431no—
901#479—431no—
902#479—431no—
903#479C2×D4311yescharacteristic
904#479C2×D4311yescharacteristic
905#478—431no—
906#478—431no—
907#477—431no—
908#477—431no—
909#477—431no—
910#477—431no—
911#477—431no—
912#477—431no—
913#477—431no—
914#477—431no—
915#477—431no—
916#476—431no—
917#475—431no—
918#475—431no—
919#475—431no—
920#475—431no—
921#475—431no—
922#474—431no—
923#474—431no—
924#474C2×D4311yescharacteristic
925#464—431no—
926#464—431no—
927#464—431no—
928#464—431no—
929#464C2×D4311yescharacteristic
930#464C2×D4311yescharacteristic
931#462—431no—
932#462—431no—
933#462—431no—
934#462—431no—
935#462—431no—
936#462C2×D4311yescharacteristic
937#451—431no—
938#451—431no—
939#451—431no—
940#448—431no—
941#446—431no—
942#446—431no—
943#446—431no—
944#446—431no—
945C8×Q8—431no—
946C8×Q8—431no—
947C8×Q8—431no—
948C8×Q8C2×D4311yescharacteristic
949#441—431no—
950#441—431no—
951#441—431no—
952#441—431no—
953#441—431no—
954#441—431no—
955#440—431no—
956#440—431no—
957C4×Q16—431no—
958C4×Q16—431no—
959C4×Q16—431no—
960C4×Q16—431no—
961C4×Q16—431no—
962C4×Q16—431no—
963C4×Q16—431no—
964C4×Q16—431no—
965C4×Q16—431no—
966C4×Q16—431no—
967C4×Q16C2×D4311yescharacteristic
968C4×Q16C2×D4311yescharacteristic
969C4×SD16—431no—
970C4×SD16—431no—
971C4×SD16—431no—
972C4×SD16C2×D4311yescharacteristic
973#433—431no—
974#433—431no—
975#433—431no—
976#433—431no—
977#431—431no—
978#431—431no—
979C43#6186611yescharacteristic, complemented, Sylow
980C22×Q8—431no—
981C2×Q16—431no—
982C2×Q16—431no—
983C2×Q16—431no—
984C2×Q16—431no—
985C2×Q16C22×D4311yescharacteristic
986C2×Q16C22×D4311yescharacteristic
987C2×SD16—431no—
988C2×SD16C22×D4311yescharacteristic
989C4⋊Q8—21no—
990C4⋊Q8—431no—
991C4⋊Q8—431no—
992C4⋊Q8—431no—
993C4⋊Q8—431no—
994C4⋊Q8—431no—
995C4⋊Q8—431no—
996C4⋊Q8—431no—
997C4⋊Q8—431no—
998C4⋊Q8—431no—
999C4⋊Q8—431no—
1000C4⋊Q8—431no—
1001C4⋊Q8—431no—
1002C4⋊Q8—861no—
1003C4⋊Q8—861no—
1004C4⋊Q8—861no—
1005C4⋊Q8—861no—
1006C4⋊Q8—861no—
1007C4⋊Q8—861no—
1008C4⋊Q8—861no—
1009C4⋊Q8—861no—
1010C4⋊Q8—861no—
1011C4⋊Q8—861no—
1012C4⋊Q8—861no—
1013C4⋊Q8—861no—
1014C4⋊Q8—861no—
1015C4⋊Q8—861no—
1016C4⋊Q8—861no—
1017C4⋊Q8—861no—
1018C4⋊Q8—861no—
1019C4⋊Q8—861no—
1020C4⋊Q8C22×D4311yescharacteristic
1021C4⋊Q8C22×D4311yescharacteristic
1022#126—21no—
1023#126—21no—
1024#126—861no—
1025#126—861no—
1026#126—861no—
1027#126—861no—
1028#126—861no—
1029#126—861no—
1030#126—861no—
1031#126—861no—
1032#126—861no—
1033#126—861no—
1034#126—861no—
1035#125—21no—
1036#125—21no—
1037#125—431no—
1038#125—431no—
1039#125—431no—
1040#125—431no—
1041#125—431no—
1042#125—431no—
1043#125—431no—
1044#125—431no—
1045#125—431no—
1046#125—861no—
1047#125—861no—
1048#125—861no—
1049#125—861no—
1050#125—861no—
1051#125—861no—
1052#125—861no—
1053#125—861no—
1054#125—861no—
1055#125—861no—
1056#125—861no—
1057#125—861no—
1058#125—861no—
1059#125—861no—
1060#125—861no—
1061#125—861no—
1062#125—861no—
1063#125—861no—
1064#125—861no—
1065#125—861no—
1066#125—861no—
1067#125—861no—
1068#125—861no—
1069#125—861no—
1070#125C22×D4311yescharacteristic
1071#125C22×D4311yescharacteristic
1072#124—431no—
1073#124—861no—
1074#124—861no—
1075#124C22×D4311yescharacteristic
1076#124C22×D4311yescharacteristic
1077#123—861no—
1078#123—861no—
1079#123—861no—
1080C22⋊Q8—21no—
1081C22⋊Q8—431no—
1082C22⋊Q8—431no—
1083C22⋊Q8—431no—
1084C22⋊Q8—431no—
1085C22⋊Q8—431no—
1086C22⋊Q8—431no—
1087C22⋊Q8—431no—
1088C22⋊Q8—861no—
1089C22⋊Q8—861no—
1090C22⋊Q8—861no—
1091C22⋊Q8—861no—
1092C22⋊Q8—861no—
1093C22⋊Q8—861no—
1094C22⋊Q8—861no—
1095C22⋊Q8—861no—
1096C22⋊Q8—861no—
1097C22⋊Q8—861no—
1098C22⋊Q8—861no—
1099C22⋊Q8—861no—
1100C22⋊Q8—861no—
1101C22⋊Q8—861no—
1102#121—431no—
1103C4×Q8—21no—
1104C4×Q8—431no—
1105C4×Q8—431no—
1106C4×Q8—431no—
1107C4×Q8—431no—
1108C4×Q8—431no—
1109C4×Q8—431no—
1110C4×Q8—431no—
1111C4×Q8—431no—
1112C4×Q8—431no—
1113C4×Q8—431no—
1114C4×Q8—431no—
1115C4×Q8—431no—
1116C4×Q8—431no—
1117C4×Q8—431no—
1118C4×Q8—431no—
1119C4×Q8—431no—
1120C4×Q8—431no—
1121C4×Q8—431no—
1122C4×Q8—431no—
1123C4×Q8—861no—
1124C4×Q8—861no—
1125C4×Q8—861no—
1126C4×Q8—861no—
1127C4×Q8—861no—
1128C4×Q8—861no—
1129C4×Q8—861no—
1130C4×Q8—861no—
1131C4×Q8—861no—
1132C4×Q8—861no—
1133C4×Q8—861no—
1134C4×Q8—861no—
1135C4×Q8—861no—
1136C4×Q8—861no—
1137C4×Q8—861no—
1138C4×Q8—861no—
1139C4×Q8—861no—
1140C4×Q8—861no—
1141C4×Q8—861no—
1142C4×Q8—861no—
1143C4×Q8C22×D4311yescharacteristic
1144C4×Q8C22×D4311yescharacteristic
1145C4×Q8C22×D4311yescharacteristic
1146C4×Q8C22×D4311yescharacteristic
1147C4×Q8C22×D4311yescharacteristic
1148C4×Q8C22×D4311yescharacteristic
1149C4×D4—431no—
1150C4×D4—431no—
1151C4×D4—861no—
1152C4×D4C22×D4311yescharacteristic
1153#117—21no—
1154#117—431no—
1155#117—431no—
1156#117—431no—
1157#117—431no—
1158#117—861no—
1159#117—861no—
1160#117—861no—
1161#117—861no—
1162#117—861no—
1163#117—861no—
1164#117—861no—
1165#117—861no—
1166C2×C4⋊C4—431no—
1167C2×C4⋊C4—861no—
1168C2×C4⋊C4—861no—
1169C2×C42—431no—
1170C2×C42—861no—
1171#107—431no—
1172#107—431no—
1173#107—431no—
1174#107—431no—
1175#107—431no—
1176#107—431no—
1177#107—431no—
1178#107—431no—
1179#107—431no—
1180#107—431no—
1181#107—431no—
1182#107—431no—
1183#107C22×D4311yescharacteristic
1184#107C22×D4311yescharacteristic
1185#106—431no—
1186#106—431no—
1187#106—431no—
1188#106—431no—
1189#106—431no—
1190#106—431no—
1191#106—431no—
1192#106—431no—
1193#106—431no—
1194#106C22×D4311yescharacteristic
1195C4⋊C8—431no—
1196C4⋊C8—431no—
1197C4⋊C8—431no—
1198C4⋊C8—431no—
1199C4⋊C8—431no—
1200C4⋊C8—431no—
1201C4⋊C8—431no—
1202C4⋊C8—431no—
1203C4⋊C8—431no—
1204C4⋊C8C22×D4311yescharacteristic
1205C4⋊C8C22×D4311yescharacteristic
1206C4⋊C8C22×D4311yescharacteristic
1207#103—431no—
1208#103—431no—
1209#103—431no—
1210#103—431no—
1211#103—431no—
1212#103—431no—
1213#103—431no—
1214#103—431no—
1215#103—431no—
1216#103—431no—
1217#103—431no—
1218#103—431no—
1219#103—431no—
1220#103—431no—
1221#103—431no—
1222#103—431no—
1223#103—431no—
1224#103—431no—
1225#103—431no—
1226#103C22×D4311yescharacteristic
1227#103C22×D4311yescharacteristic
1228#103C22×D4311yescharacteristic
1229#103C22×D4311yescharacteristic
1230#103C22×D4311yescharacteristic
1231#103C22×D4311yescharacteristic
1232#103C22×D4311yescharacteristic
1233#102—431no—
1234#102—431no—
1235#102—431no—
1236#102C22×D4311yescharacteristic
1237#102C22×D4311yescharacteristic
1238#102C22×D4311yescharacteristic
1239C22⋊C8—431no—
1240C22⋊C8—431no—
1241C22⋊C8—431no—
1242C22⋊C8—431no—
1243#97—431no—
1244#97—431no—
1245#97—431no—
1246#97—431no—
1247C4×C8—431no—
1248C4×C8—431no—
1249C4×C8—431no—
1250C4×C8—431no—
1251C4×C8—431no—
1252C4×C8C22×D4311yescharacteristic
1253C4×C8C22×D4311yescharacteristic
1254C4×C8C22×D4311yescharacteristic
1255C2×Q8—21no—
1256C2×Q8—431no—
1257C2×Q8—431no—
1258C2×Q8—431no—
1259C2×Q8—431no—
1260C2×Q8—431no—
1261C2×Q8—861no—
1262C2×Q8—861no—
1263C2×Q8—861no—
1264C2×Q8—861no—
1265C2×Q8—861no—
1266C2×Q8—861no—
1267C2×Q8—861no—
1268C2×Q8—862no—
1269C2×Q8—862no—
1270C2×Q8—861no—
1271C2×Q8—861no—
1272C2×Q8D4×D4311yescharacteristic
1273C2×Q8C23×D4311yescharacteristic
1274C2×Q8C23×D4311yescharacteristic
1275C2×Q8C23×D4311yescharacteristic
1276C2×D4—861no—
1277C2×D4C23×D4311yescharacteristic
1278C22×C4—21no—
1279C22×C4—431no—
1280C22×C4—431no—
1281C22×C4—431no—
1282C22×C4—861no—
1283C22×C4—861no—
1284C22×C4—861no—
1285C22×C4—861no—
1286Q16—22no—
1287Q16—22no—
1288Q16—862no—
1289Q16—862no—
1290Q16—862no—
1291Q16—862no—
1292SD16—22no—
1293SD16—862no—
1294C2×C8—431no—
1295C2×C8—431no—
1296C2×C8—431no—
1297C2×C8—431no—
1298C2×C8C23×D4311yescharacteristic
1299C2×C8C23×D4311yescharacteristic
1300C2×C8C23×D4311yescharacteristic
1301C2×C8C23×D4311yescharacteristic
1302C4⋊C4—21no—
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—21no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—21no—
1311C4⋊C4—21no—
1312C4⋊C4—21no—
1313C4⋊C4—21no—
1314C4⋊C4—431no—
1315C4⋊C4—431no—
1316C4⋊C4—431no—
1317C4⋊C4—431no—
1318C4⋊C4—431no—
1319C4⋊C4—431no—
1320C4⋊C4—431no—
1321C4⋊C4—431no—
1322C4⋊C4—431no—
1323C4⋊C4—431no—
1324C4⋊C4—431no—
1325C4⋊C4—431no—
1326C4⋊C4—431no—
1327C4⋊C4—431no—
1328C4⋊C4—431no—
1329C4⋊C4—431no—
1330C4⋊C4—431no—
1331C4⋊C4—431no—
1332C4⋊C4—431no—
1333C4⋊C4—861no—
1334C4⋊C4—861no—
1335C4⋊C4—861no—
1336C4⋊C4—861no—
1337C4⋊C4—861no—
1338C4⋊C4—861no—
1339C4⋊C4—861no—
1340C4⋊C4—861no—
1341C4⋊C4—861no—
1342C4⋊C4—861no—
1343C4⋊C4—861no—
1344C4⋊C4—861no—
1345C4⋊C4—861no—
1346C4⋊C4—861no—
1347C4⋊C4—861no—
1348C4⋊C4—861no—
1349C4⋊C4—861no—
1350C4⋊C4—861no—
1351C4⋊C4—861no—
1352C4⋊C4—861no—
1353C4⋊C4—861no—
1354C4⋊C4—861no—
1355C4⋊C4—861no—
1356C4⋊C4—861no—
1357C4⋊C4—861no—
1358C4⋊C4—861no—
1359C4⋊C4—861no—
1360C4⋊C4—861no—
1361C4⋊C4—861no—
1362C4⋊C4—861no—
1363C4⋊C4—861no—
1364C4⋊C4—861no—
1365C4⋊C4—861no—
1366C4⋊C4—861no—
1367C4⋊C4—861no—
1368C4⋊C4—861no—
1369C4⋊C4—861no—
1370C4⋊C4—861no—
1371C4⋊C4—861no—
1372C4⋊C4—861no—
1373C4⋊C4—861no—
1374C4⋊C4—861no—
1375C4⋊C4—861no—
1376C4⋊C4—861no—
1377C4⋊C4—861no—
1378C4⋊C4—861no—
1379C4⋊C4D4×D4311yescharacteristic
1380C4⋊C4D4×D4311yescharacteristic
1381C4⋊C4D4×D4311yescharacteristic
1382C4⋊C4C23×D4311yescharacteristic
1383C4⋊C4C23×D4311yescharacteristic
1384C4⋊C4C23×D4311yescharacteristic
1385C4⋊C4C23×D4311yescharacteristic
1386C22⋊C4—21no—
1387C22⋊C4—21no—
1388C22⋊C4—21no—
1389C22⋊C4—21no—
1390C22⋊C4—21no—
1391C22⋊C4—431no—
1392C22⋊C4—431no—
1393C22⋊C4—431no—
1394C22⋊C4—431no—
1395C22⋊C4—861no—
1396C22⋊C4—861no—
1397C22⋊C4—861no—
1398C22⋊C4—861no—
1399C22⋊C4—861no—
1400C22⋊C4—861no—
1401C22⋊C4—861no—
1402C22⋊C4—861no—
1403C22⋊C4—861no—
1404C22⋊C4—861no—
1405C42—21no—
1406C42—21no—
1407C42—21no—
1408C42—21no—
1409C42—21no—
1410C42—431no—
1411C42—431no—
1412C42—431no—
1413C42—431no—
1414C42—431no—
1415C42—861no—
1416C42—861no—
1417C42—861no—
1418C42—861no—
1419C42—861no—
1420C42—861no—
1421C42—861no—
1422C42—861no—
1423C42—861no—
1424C42—861no—
1425C42—861no—
1426C42—861no—
1427C42—861no—
1428C42—861no—
1429C42—861no—
1430C42—861no—
1431C42—861no—
1432C42—861no—
1433C42C23×D4311yescharacteristic
1434C42C23×D4311yescharacteristic
1435C42C23×D4311yescharacteristic
1436C23—21no—
1437C23—431no—
1438Q8—21no—
1439Q8—21no—
1440Q8—21no—
1441Q8—21no—
1442Q8—21no—
1443Q8—41no—
1444Q8—81no—
1445Q8—432no—
1446Q8—862no—
1447Q8—862no—
1448Q8—864no—
1449Q8—861no—
1450Q8—861no—
1451Q8—861no—
1452Q8—3441no—
1453Q8—3441no—
1454Q8—3441no—
1455Q8—3441no—
1456Q8—3441no—
1457Q8—3441no—
1458Q8—3441no—
1459Q8—1721no—
1460Q8—1722no—
1461Q8#1306337212yes—
1462D4—21no—
1463D4—21no—
1464D4—3441no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—81no—
1473C2×C4—431no—
1474C2×C4—431no—
1475C2×C4—431no—
1476C2×C4—431no—
1477C2×C4—431no—
1478C2×C4—431no—
1479C2×C4—431no—
1480C2×C4—862no—
1481C2×C4—864no—
1482C2×C4—861no—
1483C2×C4—861no—
1484C2×C4—861no—
1485C2×C4—861no—
1486C2×C4—861no—
1487C2×C4—861no—
1488C2×C4—861no—
1489C2×C4—861no—
1490C2×C4—861no—
1491C2×C4—861no—
1492C2×C4—3441no—
1493C2×C4—3441no—
1494C2×C4—1721no—
1495C2×C4—1722no—
1496C2×C4C2×D4×D4311yescharacteristic
1497C2×C4C2×D4×D4311yescharacteristic
1498C2×C4C2×D4×D4311yescharacteristic
1499C2×C4C2×D4×D4311yescharacteristic
1500C2×C4C2×D4×D4311yescharacteristic
1501C2×C4C2×D4×D4311yescharacteristic
1502C2×C4C24×D4311yescharacteristic
1503C8—21no—
1504C8—21no—
1505C8—21no—
1506C8—21no—
1507C8—861no—
1508C8—861no—
1509C8—861no—
1510C8—861no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—861no—
1515C22—861no—
1516C22—861no—
1517C22C22×D4×D4311yescharacteristic
1518C4—21no—
1519C4—21no—
1520C4—21no—
1521C4—21no—
1522C4—21no—
1523C4—21no—
1524C4—22no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—432no—
1532C4—861no—
1533C4—861no—
1534C4—861no—
1535C4—861no—
1536C4—861no—
1537C4—861no—
1538C4—862no—
1539C4—1721no—
1540C4—1721no—
1541C4—1721no—
1542C4—1721no—
1543C4—1721no—
1544C4—1721no—
1545C4—1721no—
1546C42−1+4×D4311yescharacteristic
1547C4C2×#1306337211yescharacteristic
1548C2—81no—
1549C2—1721no—
1550C2#1914824111yescharacteristic
1551C2#578×D4311yescharacteristic
1552C2#1914936411yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3364C2
socleC22×C43C23×D4
prime radical#13063296C23
hypercenter#3364D43
hypocenterC43#61866
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3364

Complements

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

NH ≅ G/Ntype
2. #19148402C2semidirect
3. #19147560C2semidirect
4. #19147558C2semidirect
5. #19147530C2semidirect
6. #19147500C2semidirect
7. #19147487C2semidirect
8. #19147481C2semidirect
9. Q16×Dic86C2semidirect
10. #19147471C2semidirect
11. #19147443C2semidirect
12. #19147431C2semidirect
13. #19147393C2semidirect
14. #19147330C2semidirect
15. #19147277C2semidirect
16. #19147275C2semidirect
17. #19147270C2semidirect
20. #19145860C2semidirect
21. #19145856C2semidirect
23. #19145753C2semidirect
24. #19144893C2semidirect
25. #19144892C2semidirect
29. #19144632C2semidirect
30. #19143695C2semidirect
31. C43×#3364C2semidirect
788. #3364D43semidirect
979. C43#61866semidirect

Maximal subgroups

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

subgroupindex
#191490822
#191484022
#191475602
#191475582
#191475302
#191475002
#191474872
#191474812
Q16×Dic862
#191474712
#191474432
#191474312
#191473932
#191473302
#191472772
#191472752
#191472702
#191458752
#191458712
#191458602
#191458562
#191457692
#191457532
#191448932
#191448922
#191448212
#191448202
#191446742
#191446322
#191436952
C43×#33642
#6186643