Finite Group Databasebeta

← #25987331

Subgroups — #25987331

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#19149073C211yesmaximal, characteristic
2#19148401C211yesmaximal, characteristic, complemented
3#19147563C211yesmaximal, characteristic, complemented
4#19147561C211yesmaximal, characteristic, complemented
5#19147528C211yesmaximal, characteristic, complemented
6#19147508C211yesmaximal, characteristic, complemented
7#19147484C211yesmaximal, characteristic, complemented
8#19147481C211yesmaximal, characteristic, complemented
9Q16×Dic86C211yesmaximal, characteristic, complemented
10#19147473C211yesmaximal, characteristic, complemented
11#19147442C211yesmaximal, characteristic, complemented
12#19147430C211yesmaximal, characteristic, complemented
13#19147393C211yesmaximal, characteristic, complemented
14#19147336C211yesmaximal, characteristic, complemented
15#19147284C211yesmaximal, characteristic, complemented
16#19147281C211yesmaximal, characteristic, complemented
17#19147281C211yesmaximal, characteristic, complemented
18#19147268C211yesmaximal, characteristic, complemented
19#19145884C211yesmaximal, characteristic
20#19145880C211yesmaximal, characteristic
21#19145861C211yesmaximal, characteristic, complemented
22#19145857C211yesmaximal, characteristic, complemented
23#19145777C211yesmaximal, characteristic
24#19145752C211yesmaximal, characteristic, complemented
25#19144889C211yesmaximal, characteristic, complemented
26#19144825C211yesmaximal, characteristic
27#19144824C211yesmaximal, characteristic
28#19144676C211yesmaximal, characteristic
29#19144629C211yesmaximal, characteristic, complemented
30#19143694C211yesmaximal, characteristic, complemented
31C43×#3127C211yesmaximal, characteristic, complemented
32#14583651—21no—
33#14583651—21no—
34Q8×Dic86—21no—
35Q8×Dic86C2211yescharacteristic
36Q8×Dic86C2211yescharacteristic
37Q8×Dic86C2211yescharacteristic
38#14583628—21no—
39#14583628C2211yescharacteristic
40#14583628C2211yescharacteristic
41#14583628C2211yescharacteristic
42#14583626C2211yescharacteristic
43#14583625—21no—
44#14583625—21no—
45#14583625C2211yescharacteristic
46#14583625C2211yescharacteristic
47#14583625C2211yescharacteristic
48#14583625C2211yescharacteristic
49#14583624C2211yescharacteristic
50#14583623C2211yescharacteristic
51#14583621C2211yescharacteristic
52#14583621C2211yescharacteristic
53#14583616—21no—
54#14583605C2211yescharacteristic
55#14583585—21no—
56#14583529—21no—
57#14583527—21no—
58#14583527—21no—
59#14583527C2211yescharacteristic
60#14583527C2211yescharacteristic
61#14583522C2211yescharacteristic
62#14583520C2211yescharacteristic
63#14583512—21no—
64#14583509C2211yescharacteristic
65#14583508—21no—
66#14583508—21no—
67#14583452—21no—
68#14583452—21no—
69#14583452C2211yescharacteristic
70#14583452C2211yescharacteristic
71#14583451C2211yescharacteristic
72#14583435C2211yescharacteristic
73#14583377C2211yescharacteristic
74C2×Q8×Dic43C2211yescharacteristic
75#14583309C2211yescharacteristic
76#14583308C2211yescharacteristic
77#14583306C2211yescharacteristic
78#14583306C2211yescharacteristic
79#14583304C2211yescharacteristic
80#14583303C2211yescharacteristic
81#14583303C2211yescharacteristic
82#14583300C2211yescharacteristic
83#14583300C2211yescharacteristic
84#14583299C2211yescharacteristic
85#14583298C2211yescharacteristic
86#14583296C2211yescharacteristic
87#14583267C2211yescharacteristic
88#14583266C2211yescharacteristic
89#14583260C2211yescharacteristic
90#14583259C2211yescharacteristic
91#14583255C2211yescharacteristic
92#14583255C2211yescharacteristic
93#14583255C2211yescharacteristic
94#14583254C2211yescharacteristic
95#14583249C2211yescharacteristic
96#14583248C2211yescharacteristic
97#14583248C2211yescharacteristic
98#14583248C2211yescharacteristic
99#14583241C2211yescharacteristic
100#14583240C2211yescharacteristic
101#14583237C2211yescharacteristic
102#14583237C2211yescharacteristic
103#14583235C2211yescharacteristic
104#14583232C2211yescharacteristic
105#14583227C2211yescharacteristic
106#14583224C2211yescharacteristic
107#14583223C2211yescharacteristic
108#14583213C2211yescharacteristic
109#14583209C2211yescharacteristic
110#14583208C2211yescharacteristic
111#14583208C2211yescharacteristic
112#14583208C2211yescharacteristic
113#14583208C2211yescharacteristic
114#14583208C2211yescharacteristic
115#14583208C2211yescharacteristic
116#14583207C2211yescharacteristic
117#14583206C2211yescharacteristic
118#14583206C2211yescharacteristic
119#14583205C2211yescharacteristic
120#14583205C2211yescharacteristic
121#14583204C2211yescharacteristic
122#14583204C2211yescharacteristic
123#14583200C2211yescharacteristic
124#14583198C2211yescharacteristic
125#14583195C2211yescharacteristic
126#14583194C2211yescharacteristic
127#14583194C2211yescharacteristic
128#14583192C2211yescharacteristic
129#14583192C2211yescharacteristic
130#14583192C2211yescharacteristic
131#14583192C2211yescharacteristic
132#14583192C2211yescharacteristic
133#14583192C2211yescharacteristic
134#14583188C2211yescharacteristic
135#14583184C2211yescharacteristic
136#14583184C2211yescharacteristic
137#14583183C2211yescharacteristic
138#14583182C2211yescharacteristic
139#14583182C2211yescharacteristic
140#14583180C2211yescharacteristic
141#14583178C2211yescharacteristic
142#14583178C2211yescharacteristic
143#14583123C2211yescharacteristic
144#14583123C2211yescharacteristic
145#14583123C2211yescharacteristic
146#14583123C2211yescharacteristic
147#14583121C2211yescharacteristic
148#14583121C2211yescharacteristic
149#14583107C2211yescharacteristic
150#14583107C2211yescharacteristic
151#14583107C2211yescharacteristic
152#14583107C2211yescharacteristic
153#14583055C2211yescharacteristic
154#14583038C2211yescharacteristic
155#14583028C2211yescharacteristic
156#14583028C2211yescharacteristic
157#14583027C2211yescharacteristic
158#14583027C2211yescharacteristic
159C8×Dic86C2211yescharacteristic
160C8×Dic86C2211yescharacteristic
161#14583023C2211yescharacteristic
162#14583023C2211yescharacteristic
163#14583006C2211yescharacteristic
164#14583006C2211yescharacteristic
165#14583004C2211yescharacteristic
166#14583003C2211yescharacteristic
167#14583002C2211yescharacteristic
168#14582997C2211yescharacteristic
169Q16×Dic43C2211yescharacteristic
170Q16×Dic43C2211yescharacteristic
171Q16×Dic43C2211yescharacteristic
172Q16×Dic43C2211yescharacteristic
173Q16×Dic43C2211yescharacteristic
174Q16×Dic43C2211yescharacteristic
175C4×#10621885C2211yescharacteristic
176#14582991C2211yescharacteristic
177#14582991C2211yescharacteristic
178#14582991C2211yescharacteristic
179C4×#10621884C2211yescharacteristic
180#14582984C2211yescharacteristic
181#14582984C2211yescharacteristic
182#14582984C2211yescharacteristic
183#14582960C2211yescharacteristic
184#14582957C2211yescharacteristic
185#14582957C2211yescharacteristic
186#14582949C2211yescharacteristic
187#14582949C2211yescharacteristic
188C43×#541C2211yescharacteristic
189C43×#519C2211yescharacteristic
190C43×#485C2211yescharacteristic
191C43×#485C2211yescharacteristic
192C43×#479C2211yescharacteristic
193C43×#479C2211yescharacteristic
194C43×#462C2211yescharacteristic
195C43×#462C2211yescharacteristic
196C43×#451C2211yescharacteristic
197C43×#451C2211yescharacteristic
198C43×#441C2211yescharacteristic
199C43×#441C2211yescharacteristic
200C4×Q16×C43C2211yescharacteristic
201C4×Q16×C43C2211yescharacteristic
202C43×#433C2211yescharacteristic
203C2×#10621885C2311yescharacteristic
204C2×#10621885C2311yescharacteristic
205C2×#10621884C2311yescharacteristic
206C2×#10621884C2311yescharacteristic
207#13063325—21no—
208#13063325—21no—
209#13063325—21no—
210#13063325—21no—
211#13063325—21no—
212#13063325—21no—
213#13063325—21no—
214#13063325C2311yescharacteristic
215#13063325C2311yescharacteristic
216#13063325C2311yescharacteristic
217#13063324—21no—
218#13063324—21no—
219#13063324—21no—
220#13063324—21no—
221#13063324—21no—
222#13063324—21no—
223#13063324—21no—
224#13063324—21no—
225#13063324—21no—
226#13063324—21no—
227#13063324—21no—
228#13063324—21no—
229#13063324D411yescharacteristic
230#13063324D411yescharacteristic
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063323C2311yescharacteristic
238#13063323C2311yescharacteristic
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063320—21no—
246#13063319—21no—
247#13063319—21no—
248#13063318—21no—
249#13063318—21no—
250#13063317—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#13063316—21no—
266#13063316—21no—
267#13063316—21no—
268#13063316—21no—
269#13063316—21no—
270#13063316D411yescharacteristic
271#13063316D411yescharacteristic
272#13063316C2311yescharacteristic
273#13063316C2311yescharacteristic
274#13063316C2311yescharacteristic
275#13063316C2311yescharacteristic
276#13063316C2311yescharacteristic
277#13063316C2311yescharacteristic
278#13063315—21no—
279#13063315—21no—
280#13063315—21no—
281#13063315—21no—
282#13063315—21no—
283#13063315—21no—
284#13063314C2311yescharacteristic
285#13063314C2311yescharacteristic
286#13063313C2311yescharacteristic
287#13063311—21no—
288#13063311—21no—
289#13063309—21no—
290#13063307—21no—
291#13063307—21no—
292#13063305—21no—
293#13063305—21no—
294#13063305—21no—
295#13063304C2311yescharacteristic
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063303—21no—
301#13063302—21no—
302#13063302—21no—
303#13063302—21no—
304#13063302—21no—
305#13063302—21no—
306#13063302—21no—
307#13063302—21no—
308#13063302D411yescharacteristic
309#13063302D411yescharacteristic
310#13063302D411yescharacteristic
311#13063302D411yescharacteristic
312#13063299C2311yescharacteristic
313Q8×Dic43—21no—
314Q8×Dic43—21no—
315Q8×Dic43—21no—
316Q8×Dic43—21no—
317Q8×Dic43C2311yescharacteristic
318Q8×Dic43C2311yescharacteristic
319Q8×Dic43C2311yescharacteristic
320Q8×Dic43C2311yescharacteristic
321Q8×Dic43C2311yescharacteristic
322Q8×Dic43C2311yescharacteristic
323Q8×Dic43C2311yescharacteristic
324Q8×Dic43C2311yescharacteristic
325Q8×Dic43C2311yescharacteristic
326Q8×Dic43C2311yescharacteristic
327Q8×Dic43C2311yescharacteristic
328Q8×Dic43C2311yescharacteristic
329C4×Dic86—21no—
330C4×Dic86—21no—
331C4×Dic86—21no—
332C4×Dic86—21no—
333C4×Dic86—21no—
334C4×Dic86—21no—
335C4×Dic86—21no—
336C4×Dic86—21no—
337C4×Dic86—21no—
338C4×Dic86—21no—
339C4×Dic86—21no—
340C4×Dic86—21no—
341C4×Dic86C2311yescharacteristic
342C4×Dic86C2311yescharacteristic
343C4×Dic86C2311yescharacteristic
344C4×Dic86C2311yescharacteristic
345C4×Dic86C2311yescharacteristic
346#13063290—21no—
347#13063290—21no—
348#13063290—21no—
349#13063290C2311yescharacteristic
350#13063290C2311yescharacteristic
351C4×D172C2311yescharacteristic
352#13063287C2311yescharacteristic
353#13063287C2311yescharacteristic
354(C22⋊D43)⋊C4—21no—
355#13063284—21no—
356#13063284—21no—
357#13063284C2311yescharacteristic
358#13063284C2311yescharacteristic
359#13063283—21no—
360#13063283—21no—
361#13063282—21no—
362#13063282—21no—
363#13063281—21no—
364C2×C4⋊Dic43—21no—
365C2×C4⋊Dic43C2311yescharacteristic
366C4⋊C4×D43—21no—
367C2×C4×Dic43—21no—
368C2×C4×Dic43C2311yescharacteristic
369#13063259C2311yescharacteristic
370#13063259C2311yescharacteristic
371#13063259C2311yescharacteristic
372#13063259C2311yescharacteristic
373#13063259C2311yescharacteristic
374#13063259C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063256C2311yescharacteristic
384#13063256C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389C4⋊(C43⋊C8)C2311yescharacteristic
390C4⋊(C43⋊C8)C2311yescharacteristic
391Dic43⋊C8C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425#13063236C2311yescharacteristic
426#13063235C2311yescharacteristic
427#13063235C2311yescharacteristic
428C4×C43⋊C8C2311yescharacteristic
429C8×Dic43C2311yescharacteristic
430C8×Dic43C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C22×Q8×C43C2311yescharacteristic
436C2×Q16×C43C2311yescharacteristic
437C2×Q16×C43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C4⋊Q8×C43C2311yescharacteristic
441#126×C43—21no—
442#126×C43—21no—
443#125×C43—21no—
444#125×C43—21no—
445#125×C43C2311yescharacteristic
446C22⋊Q8×C43C2311yescharacteristic
447C22⋊Q8×C43C2311yescharacteristic
448C4×Q8×C43—21no—
449C4×Q8×C43—21no—
450C4×Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456#117×C43—21no—
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C2×Q8×C43—22no—
479C2×Q8×C43—22no—
480C2×Q8×C43—21no—
481C2×Q8×C43C2411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×Q8×C43C2411yescharacteristic
485C22×C4×C43—21no—
486C22×C4×C43C2411yescharacteristic
487C2×C22⋊D43—21no—
488C22×Dic43—21no—
489C22×Dic43C2×D411yescharacteristic
490C22×Dic43C2×D411yescharacteristic
491C2×D172C2411yescharacteristic
492C2×C4×D43—21no—
493C2×C4×D43—21no—
494C2×C4×D43—21no—
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×Dic86C2×D411yescharacteristic
508C2×Dic86C2411yescharacteristic
509Q16×C43—22no—
510Q16×C43—22no—
511Q16×C43—22no—
512Q16×C43—22no—
513C2×C8×C43C2411yescharacteristic
514C2×C8×C43C2411yescharacteristic
515C2×C8×C43C2411yescharacteristic
516C2×C8×C43C2411yescharacteristic
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×C43—21no—
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×C43C2×D411yescharacteristic
539C22⋊C4×C43C2×D411yescharacteristic
540C42×C43—21no—
541C42×C43—21no—
542C42×C43—21no—
543C42×C43—21no—
544C42×C43—21no—
545C42×C43—21no—
546C42×C43—21no—
547C42×C43C2411yescharacteristic
548C42×C43C2411yescharacteristic
549C22⋊Dic43—21no—
550C22⋊Dic43—21no—
551C22⋊Dic43C2×D411yescharacteristic
552C22⋊Dic43C2×D411yescharacteristic
553#10621885—22no—
554#10621885—22no—
555#10621884—22no—
556#10621884—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)⋊C4—21no—
563(C2×D43)⋊C4—21no—
564(C2×D43)⋊C4—21no—
565(C2×D43)⋊C4—21no—
566(C2×D43)⋊C4—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⋊Dic43—21no—
580C4⋊Dic43—21no—
581C4⋊Dic43—21no—
582C4⋊Dic43—21no—
583C4⋊Dic43—21no—
584C4⋊Dic43—21no—
585C4⋊Dic43—21no—
586C4⋊Dic43—21no—
587C4⋊Dic43—21no—
588C4⋊Dic43—21no—
589C4⋊Dic43C2×D411yescharacteristic
590C4⋊Dic43C2×D411yescharacteristic
591C4⋊Dic43C2×D411yescharacteristic
592C4⋊Dic43C2×D411yescharacteristic
593C4⋊Dic43C2×D411yescharacteristic
594C4⋊Dic43C2×D411yescharacteristic
595C4⋊Dic43C2411yescharacteristic
596C4⋊Dic43C2411yescharacteristic
597C4⋊Dic43C2411yescharacteristic
598C4⋊Dic43C2411yescharacteristic
599C4⋊Dic43C2411yescharacteristic
600C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
625Dic43⋊C4C2×D411yescharacteristic
626Dic43⋊C4C2×D411yescharacteristic
627Dic43⋊C4C2×D411yescharacteristic
628Dic43⋊C4C2×D411yescharacteristic
629Dic43⋊C4C2×D411yescharacteristic
630Dic43⋊C4C2×D411yescharacteristic
631Dic43⋊C4C2×D411yescharacteristic
632Dic43⋊C4C2×D411yescharacteristic
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
654C4×Dic43C2411yescharacteristic
655C2×C43⋊C8C2411yescharacteristic
656C2×C43⋊C8C2411yescharacteristic
657C2×C43⋊C8C2411yescharacteristic
658C2×C43⋊C8C2411yescharacteristic
659C23×C43C22×D411yescharacteristic
660C22×D43—21no—
661Q8×C43—24no—
662Q8×C43—21no—
663Q8×C43—21no—
664Q8×C43—21no—
665Q8×C43—21no—
666Q8×C43—21no—
667Q8×C43—21no—
668Q8×C432−1+412yes—
669Q8×C432−1+412yes—
670C2×C4×C43—24no—
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—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43C22×D411yescharacteristic
682C2×C4×C43C22×D411yescharacteristic
683C2×C4×C43C22×D411yescharacteristic
684C2×C4×C43C22×D411yescharacteristic
685C2×C4×C43C22×D411yescharacteristic
686C2×C4×C43C2511yescharacteristic
687C22⋊D43—81no—
688C2×Dic43—22no—
689C2×Dic43—21no—
690C2×Dic43—21no—
691C2×Dic43—21no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—41no—
697C2×Dic43—81no—
698C2×Dic43C22×D411yescharacteristic
699C2×Dic43C22×D411yescharacteristic
700C2×Dic43C22×D411yescharacteristic
701C2×Dic43C22×D411yescharacteristic
702C2×Dic43C22×D411yescharacteristic
703C2×Dic43C22×D411yescharacteristic
704C2×Dic43C22×D411yescharacteristic
705C2×Dic43C22×D411yescharacteristic
706D172—21no—
707D172—21no—
708C4×D43—42no—
709C4×D43—81no—
710C4×D43—81no—
711Dic86—22no—
712Dic86—22no—
713Dic86—21no—
714Dic86—21no—
715Dic86—41no—
716Dic86—41no—
717Dic86—42no—
718Dic86—81no—
719Dic86—81no—
720Dic86—81no—
721Dic86—81no—
722Dic86—81no—
723Dic86—81no—
724Dic86—81no—
725Dic86—81no—
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—21no—
736C22×C43—21no—
737C22×C43—21no—
738C22×C43C23×D411yescharacteristic
739C2×D43—41no—
740C2×D43—41no—
741C2×D43—41no—
742C4×C43—21no—
743C4×C43—21no—
744C4×C43—22no—
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—21no—
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#3364—431no—
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#3127D4311yescharacteristic, complemented
798#3121—431no—
799#3121—431no—
800#3108—431no—
801#3104—431no—
802#2986—431no—
803C2×C43—41no—
804C2×C43#348611yescharacteristic
805C2×C43C2×#57811yescharacteristic
806C2×C43#358411yescharacteristic
807D43—81no—
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—431no—
823#557—861no—
824#557—861no—
825#557—861no—
826#556—431no—
827#556—431no—
828#556—431no—
829#556—861no—
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—861no—
841#541—861no—
842#541—861no—
843#541C2×D4311yescharacteristic
844#533—431no—
845#533—431no—
846#533—431no—
847#533—861no—
848#533—861no—
849#529—431no—
850#519—431no—
851#519C2×D4311yescharacteristic
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#488—431no—
872#488—431no—
873#487—431no—
874#487—431no—
875#487—431no—
876#487—431no—
877#485—431no—
878#485—431no—
879#485—431no—
880#485—431no—
881#485C2×D4311yescharacteristic
882#485C2×D4311yescharacteristic
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#474—431no—
925#464—431no—
926#464—431no—
927#464—431no—
928#464—431no—
929#464—431no—
930#464—431no—
931#462—431no—
932#462—431no—
933#462—431no—
934#462—431no—
935#462C2×D4311yescharacteristic
936#462C2×D4311yescharacteristic
937#451—431no—
938#451C2×D4311yescharacteristic
939#451C2×D4311yescharacteristic
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×Q8—431no—
949#441—431no—
950#441—431no—
951#441—431no—
952#441—431no—
953#441C2×D4311yescharacteristic
954#441C2×D4311yescharacteristic
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×SD16—431no—
973#433—431no—
974#433—431no—
975#433—431no—
976#433C2×D4311yescharacteristic
977#431—431no—
978#431—431no—
979C43#6186611yescharacteristic, complemented, Sylow
980C22×Q8C22×D4311yescharacteristic
981C2×Q16—431no—
982C2×Q16—431no—
983C2×Q16C22×D4311yescharacteristic
984C2×Q16C22×D4311yescharacteristic
985C2×Q16C22×D4311yescharacteristic
986C2×Q16C22×D4311yescharacteristic
987C2×SD16—431no—
988C2×SD16—431no—
989C4⋊Q8—431no—
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⋊Q8—861no—
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—431no—
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#125—861no—
1071#125C22×D4311yescharacteristic
1072#124—431no—
1073#124—431no—
1074#124—431no—
1075#124—861no—
1076#124—861no—
1077#123—861no—
1078#123—861no—
1079#123—861no—
1080C22⋊Q8—431no—
1081C22⋊Q8—431no—
1082C22⋊Q8—431no—
1083C22⋊Q8—431no—
1084C22⋊Q8—431no—
1085C22⋊Q8—861no—
1086C22⋊Q8—861no—
1087C22⋊Q8—861no—
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⋊Q8C22×D4311yescharacteristic
1101C22⋊Q8C22×D4311yescharacteristic
1102#121—431no—
1103C4×Q8—21no—
1104C4×Q8—21no—
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—431no—
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—431no—
1152C4×D4—861no—
1153#117—21no—
1154#117—21no—
1155#117—431no—
1156#117—431no—
1157#117—861no—
1158#117—861no—
1159#117—861no—
1160#117—861no—
1161#117—861no—
1162#117—861no—
1163#117—861no—
1164#117C22×D4311yescharacteristic
1165#117C22×D4311yescharacteristic
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#106C22×D4311yescharacteristic
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⋊C8—431no—
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#103C22×D4311yescharacteristic
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#102—431no—
1237#102—431no—
1238#102—431no—
1239C22⋊C8—431no—
1240C22⋊C8—431no—
1241C22⋊C8C22×D4311yescharacteristic
1242C22⋊C8C22×D4311yescharacteristic
1243#97—431no—
1244#97—431no—
1245#97—431no—
1246#97C22×D4311yescharacteristic
1247C4×C8—431no—
1248C4×C8—431no—
1249C4×C8—431no—
1250C4×C8—431no—
1251C4×C8—431no—
1252C4×C8—431no—
1253C4×C8—431no—
1254C4×C8C22×D4311yescharacteristic
1255C2×Q8—22no—
1256C2×Q8—22no—
1257C2×Q8—21no—
1258C2×Q8—431no—
1259C2×Q8—431no—
1260C2×Q8—431no—
1261C2×Q8—431no—
1262C2×Q8—431no—
1263C2×Q8—861no—
1264C2×Q8—861no—
1265C2×Q8—861no—
1266C2×Q8—861no—
1267C2×Q8—861no—
1268C2×Q8—861no—
1269C2×Q8—861no—
1270C2×Q8—861no—
1271C2×Q8—861no—
1272C2×Q8C23×D4311yescharacteristic
1273C2×Q8C23×D4311yescharacteristic
1274C2×Q8C23×D4311yescharacteristic
1275C2×Q8C23×D4311yescharacteristic
1276C2×D4—431no—
1277C2×D4—861no—
1278C22×C4—21no—
1279C22×C4—431no—
1280C22×C4—431no—
1281C22×C4—861no—
1282C22×C4—861no—
1283C22×C4—861no—
1284C22×C4—861no—
1285C22×C4C23×D4311yescharacteristic
1286Q16—22no—
1287Q16—22no—
1288Q16—22no—
1289Q16—22no—
1290Q16—862no—
1291Q16—862no—
1292SD16—862no—
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—431no—
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⋊C4—861no—
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—431no—
1390C22⋊C4—431no—
1391C22⋊C4—861no—
1392C22⋊C4—861no—
1393C22⋊C4—861no—
1394C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1404C22⋊C4D4×D4311yescharacteristic
1405C42—21no—
1406C42—21no—
1407C42—21no—
1408C42—21no—
1409C42—21no—
1410C42—21no—
1411C42—21no—
1412C42—431no—
1413C42—431no—
1414C42—431no—
1415C42—431no—
1416C42—431no—
1417C42—431no—
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—
1433C42—861no—
1434C42C23×D4311yescharacteristic
1435C42C23×D4311yescharacteristic
1436C23—861no—
1437C23C2×D4×D4311yescharacteristic
1438Q8—24no—
1439Q8—21no—
1440Q8—21no—
1441Q8—21no—
1442Q8—21no—
1443Q8—21no—
1444Q8—21no—
1445Q8—862no—
1446Q8—862no—
1447Q8—861no—
1448Q8—861no—
1449Q8—3441no—
1450Q8—3441no—
1451Q8—3441no—
1452Q8—3441no—
1453Q8—3441no—
1454Q8—3441no—
1455Q8—3441no—
1456Q8—3441no—
1457Q8—1721no—
1458Q8—1721no—
1459Q8—1722no—
1460Q8#1306337212yes—
1461Q8#1306337212yes—
1462D4—861no—
1463D4—861no—
1464D4—3441no—
1465C2×C4—24no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—431no—
1477C2×C4—431no—
1478C2×C4—431no—
1479C2×C4—431no—
1480C2×C4—431no—
1481C2×C4—431no—
1482C2×C4—431no—
1483C2×C4—431no—
1484C2×C4—862no—
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—3441no—
1495C2×C4—1722no—
1496C2×C4—1721no—
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—21no—
1512C22—21no—
1513C22—21no—
1514C22—1721no—
1515C22—1721no—
1516C22—1721no—
1517C22C22×D4×D4311yescharacteristic
1518C4—21no—
1519C4—21no—
1520C4—21no—
1521C4—21no—
1522C4—22no—
1523C4—22no—
1524C4—21no—
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—861no—
1539C4—1721no—
1540C4—1721no—
1541C4—1721no—
1542C4—1721no—
1543C4—1721no—
1544C4—1721no—
1545C4—1721no—
1546C4C2×#1306337211yescharacteristic
1547C4C2×#1306337211yescharacteristic
1548C2—41no—
1549C2—3441no—
1550C2#1914824211yescharacteristic
1551C2#578×D4311yescharacteristic
1552C2#1914936511yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3127C2
socleC22×C43C23×D4
prime radical#13063299C23
hypercenter#3127D43
hypocenterC43#61866
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3127

Complements

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

NH ≅ G/Ntype
2. #19148401C2semidirect
3. #19147563C2semidirect
4. #19147561C2semidirect
5. #19147528C2semidirect
6. #19147508C2semidirect
7. #19147484C2semidirect
8. #19147481C2semidirect
9. Q16×Dic86C2semidirect
10. #19147473C2semidirect
11. #19147442C2semidirect
12. #19147430C2semidirect
13. #19147393C2semidirect
14. #19147336C2semidirect
15. #19147284C2semidirect
16. #19147281C2semidirect
17. #19147281C2semidirect
18. #19147268C2semidirect
21. #19145861C2semidirect
22. #19145857C2semidirect
24. #19145752C2semidirect
25. #19144889C2semidirect
29. #19144629C2semidirect
30. #19143694C2semidirect
31. C43×#3127C2semidirect
797. #3127D43semidirect
979. C43#61866semidirect

Maximal subgroups

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

subgroupindex
#191490732
#191484012
#191475632
#191475612
#191475282
#191475082
#191474842
#191474812
Q16×Dic862
#191474732
#191474422
#191474302
#191473932
#191473362
#191472842
#191472812
#191472682
#191458842
#191458802
#191458612
#191458572
#191457772
#191457522
#191448892
#191448252
#191448242
#191446762
#191446292
#191436942
C43×#31272
#6186643