Finite Group Databasebeta

← #25969251

Subgroups — #25969251

Order 11008.

1678 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148518C211yesmaximal, characteristic
2#19148410C211yesmaximal, characteristic, complemented
3#19145858C211yesmaximal, characteristic, complemented
4#19145857C211yesmaximal, characteristic, complemented
5#19145856C211yesmaximal, characteristic, complemented
6#19145851C211yesmaximal, characteristic, complemented
7#19145850C211yesmaximal, characteristic, complemented
8#19145849C211yesmaximal, characteristic, complemented
9#19145848C211yesmaximal, characteristic, complemented
10#19145840C211yesmaximal, characteristic, complemented
11#19145840C211yesmaximal, characteristic, complemented
12#19145839C211yesmaximal, characteristic, complemented
13#19145839C211yesmaximal, characteristic, complemented
14#19145829C211yesmaximal, characteristic, complemented
15#19145828C211yesmaximal, characteristic, complemented
16#19145820C211yesmaximal, characteristic, complemented
17#19145819C211yesmaximal, characteristic, complemented
18#19145143C211yesmaximal, characteristic, complemented
19#501×D43C211yesmaximal, characteristic, complemented
20#19144990C211yesmaximal, characteristic, complemented
21#19144942C211yesmaximal, characteristic, complemented
22#19144581C211yesmaximal, characteristic, complemented
23#19144579C211yesmaximal, characteristic, complemented
24#19144576C211yesmaximal, characteristic, complemented
25#19144574C211yesmaximal, characteristic, complemented
26#19144460C211yesmaximal, characteristic, complemented
27#19144454C211yesmaximal, characteristic, complemented
28#19144449C211yesmaximal, characteristic, complemented
29#19144443C211yesmaximal, characteristic, complemented
30#19143243C211yesmaximal, characteristic, complemented
31C43×#3242C211yesmaximal, characteristic, complemented
32#14583629—21no—
33#14583626—21no—
34#14583605—21no—
35#14583603—21no—
36#14583603—21no—
37#14583602—21no—
38#14583602—21no—
39#14583600—21no—
40#14583600—21no—
41#14583600—21no—
42#14583600—21no—
43#14583581—21no—
44#14583581—21no—
45#14583564—21no—
46#14583562—21no—
47#14583562—21no—
48#14583529C2211yescharacteristic
49#14583529C2211yescharacteristic
50#14583527C2211yescharacteristic
51#14583526C2211yescharacteristic
52#14583526C2211yescharacteristic
53#14583510C2211yescharacteristic
54#14583505C2211yescharacteristic
55#14583504C2211yescharacteristic
56#14583479C2211yescharacteristic
57#14583479C2211yescharacteristic
58#14583455C2211yescharacteristic
59#14583455C2211yescharacteristic
60#14583452C2211yescharacteristic
61#14583450C2211yescharacteristic
62C2×#13063324C2211yescharacteristic
63C4⋊Q8×D43C2211yescharacteristic
64C4⋊Q8×D43C2211yescharacteristic
65#14583436C2211yescharacteristic
66#14583436C2211yescharacteristic
67#14583435C2211yescharacteristic
68#14583435C2211yescharacteristic
69#125×D43C2211yescharacteristic
70#14583381C2211yescharacteristic
71#14583381C2211yescharacteristic
72#14583380C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583367C2211yescharacteristic
75#14583309C2211yescharacteristic
76#14583308C2211yescharacteristic
77#14583307C2211yescharacteristic
78#14583307C2211yescharacteristic
79#14583307C2211yescharacteristic
80#14583307C2211yescharacteristic
81#14583306C2211yescharacteristic
82#14583306C2211yescharacteristic
83#14583306C2211yescharacteristic
84#14583306C2211yescharacteristic
85#14583305C2211yescharacteristic
86#14583301C2211yescharacteristic
87#14583298C2211yescharacteristic
88#14583298C2211yescharacteristic
89#14583267C2211yescharacteristic
90#14583265C2211yescharacteristic
91#14583264C2211yescharacteristic
92#14583260C2211yescharacteristic
93#14583260C2211yescharacteristic
94#14583260C2211yescharacteristic
95#14583260C2211yescharacteristic
96#14583260C2211yescharacteristic
97#14583260C2211yescharacteristic
98#14583260C2211yescharacteristic
99#14583260C2211yescharacteristic
100#14583249C2211yescharacteristic
101#14583247C2211yescharacteristic
102#14583246C2211yescharacteristic
103#14583239C2211yescharacteristic
104#14583239C2211yescharacteristic
105#14583238C2211yescharacteristic
106#14583238C2211yescharacteristic
107#14583237C2211yescharacteristic
108#14583237C2211yescharacteristic
109#14583233C2211yescharacteristic
110#14583233C2211yescharacteristic
111#14583232C2211yescharacteristic
112#14583228C2211yescharacteristic
113#14583228C2211yescharacteristic
114#14583227C2211yescharacteristic
115#14583226C2211yescharacteristic
116#14583226C2211yescharacteristic
117#14583225C2211yescharacteristic
118#14583225C2211yescharacteristic
119#14583224C2211yescharacteristic
120#14583224C2211yescharacteristic
121#14583223C2211yescharacteristic
122#14583223C2211yescharacteristic
123#14583219C2211yescharacteristic
124#14583219C2211yescharacteristic
125#14583218C2211yescharacteristic
126#14583217C2211yescharacteristic
127#14583214C2211yescharacteristic
128#14583214C2211yescharacteristic
129#14583213C2211yescharacteristic
130#14583212C2211yescharacteristic
131#14583208C2211yescharacteristic
132#14583208C2211yescharacteristic
133#14583206C2211yescharacteristic
134#14583206C2211yescharacteristic
135#14583204C2211yescharacteristic
136#14583204C2211yescharacteristic
137#14583202C2211yescharacteristic
138#14583202C2211yescharacteristic
139#14583200C2211yescharacteristic
140#14583200C2211yescharacteristic
141#14583198C2211yescharacteristic
142#14583198C2211yescharacteristic
143#14583196C2211yescharacteristic
144#14583196C2211yescharacteristic
145#14583194C2211yescharacteristic
146#14583192C2211yescharacteristic
147#14583192C2211yescharacteristic
148#14583190C2211yescharacteristic
149#14583188C2211yescharacteristic
150#14583188C2211yescharacteristic
151#14583186C2211yescharacteristic
152#14583184C2211yescharacteristic
153#14583182C2211yescharacteristic
154#14583182C2211yescharacteristic
155#14583180C2211yescharacteristic
156#14583178C2211yescharacteristic
157#14583178C2211yescharacteristic
158#14583176C2211yescharacteristic
159#14582961C2211yescharacteristic
160#14582960C2211yescharacteristic
161#14582958C2211yescharacteristic
162#14582955C2211yescharacteristic
163#14582955C2211yescharacteristic
164#14582953C2211yescharacteristic
165#14582953C2211yescharacteristic
166#14582940C2211yescharacteristic
167#14582940C2211yescharacteristic
168#14582938C2211yescharacteristic
169#14582938C2211yescharacteristic
170#107×D43C2211yescharacteristic
171#107×D43C2211yescharacteristic
172#106×D43C2211yescharacteristic
173#106×D43C2211yescharacteristic
174#14582924C2211yescharacteristic
175#14582924C2211yescharacteristic
176#14582899C2211yescharacteristic
177#14582899C2211yescharacteristic
178#14582899C2211yescharacteristic
179#14582899C2211yescharacteristic
180#14582894C2211yescharacteristic
181#14582894C2211yescharacteristic
182#14582894C2211yescharacteristic
183#14582894C2211yescharacteristic
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186C4×#10621872C2211yescharacteristic
187#97×D43C2211yescharacteristic
188C43×#544C2211yescharacteristic
189C43×#541C2211yescharacteristic
190C43×#501C2211yescharacteristic
191C43×#499C2211yescharacteristic
192C43×#491C2211yescharacteristic
193C43×#487C2211yescharacteristic
194C43×#485C2211yescharacteristic
195C43×#485C2211yescharacteristic
196C43×#484C2211yescharacteristic
197C43×#483C2211yescharacteristic
198C43×#479C2211yescharacteristic
199C43×#479C2211yescharacteristic
200C43×#477C2211yescharacteristic
201C43×#475C2211yescharacteristic
202C43×#433C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621898C2311yescharacteristic
206C22×Dic86—21no—
207C2×Q8×D43—21no—
208C2×Q8×D43—21no—
209C2×#10621872C2311yescharacteristic
210C2×#10621872C2311yescharacteristic
211C2×C8×D43C2311yescharacteristic
212C2×C8×D43C2311yescharacteristic
213#13063325C2311yescharacteristic
214#13063325C2311yescharacteristic
215#13063324—21no—
216#13063324—21no—
217#13063324—21no—
218#13063324—21no—
219#13063324—21no—
220#13063324—21no—
221#13063324—21no—
222#13063324C2311yescharacteristic
223#13063324C2311yescharacteristic
224#13063324C2311yescharacteristic
225#13063324C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063324C2311yescharacteristic
228#13063323—21no—
229#13063323—21no—
230#13063323—21no—
231#13063323—21no—
232#13063322C2311yescharacteristic
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063317C2311yescharacteristic
240#13063317C2311yescharacteristic
241#13063317C2311yescharacteristic
242#13063316—21no—
243#13063316C2311yescharacteristic
244#13063316C2311yescharacteristic
245#13063316C2311yescharacteristic
246#13063316C2311yescharacteristic
247#13063315—21no—
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063314C2311yescharacteristic
256#13063314C2311yescharacteristic
257#13063310—21no—
258#13063310—21no—
259#13063310—21no—
260#13063310—21no—
261#13063310—21no—
262#13063310—21no—
263#13063309—21no—
264#13063309—21no—
265#13063305—21no—
266#13063305—21no—
267#13063303—21no—
268#13063303—21no—
269#13063303—21no—
270#13063303—21no—
271#13063303—21no—
272#13063303—21no—
273#13063303—21no—
274#13063303—21no—
275#13063303—21no—
276#13063303—21no—
277#13063302—21no—
278#13063302—21no—
279#13063302—21no—
280#13063302—21no—
281#13063301—21no—
282#13063301—21no—
283#13063301C2311yescharacteristic
284#13063301C2311yescharacteristic
285#13063300—21no—
286#13063300—21no—
287#13063300—21no—
288#13063300—21no—
289#13063300—21no—
290#13063300—21no—
291#13063300C2311yescharacteristic
292#13063300C2311yescharacteristic
293#13063299C2311yescharacteristic
294#13063299C2311yescharacteristic
295#13063298—21no—
296#13063298—21no—
297#13063298—21no—
298#13063298—21no—
299#13063298—21no—
300#13063298—21no—
301Q8×Dic43C2311yescharacteristic
302Q8×Dic43C2311yescharacteristic
303C4×Dic86—21no—
304C4×Dic86—21no—
305C4×Dic86—21no—
306#13063290—21no—
307#13063290—21no—
308#13063290—21no—
309#13063290—21no—
310#13063290—21no—
311#13063290D411yescharacteristic
312#13063290D411yescharacteristic
313C4×D172—21no—
314C4×D172—21no—
315C4×D172—21no—
316C4×D172—21no—
317C4×D172—21no—
318C4×D172C2311yescharacteristic
319C4×D172C2311yescharacteristic
320#13063287—21no—
321#13063287—21no—
322#13063287—21no—
323#13063287—21no—
324#13063287—21no—
325#13063287D411yescharacteristic
326#13063287D411yescharacteristic
327#13063287C2311yescharacteristic
328#13063287C2311yescharacteristic
329C4×C22⋊D43—21no—
330C4×C22⋊D43—21no—
331(C22⋊D43)⋊C4—21no—
332(C22⋊D43)⋊C4—21no—
333(C22⋊D43)⋊C4—21no—
334(C22⋊D43)⋊C4—21no—
335(C22⋊D43)⋊C4D411yescharacteristic
336(C22⋊D43)⋊C4D411yescharacteristic
337(C22⋊D43)⋊C4D411yescharacteristic
338(C22⋊D43)⋊C4D411yescharacteristic
339#13063284C2311yescharacteristic
340#13063283—21no—
341#13063283—21no—
342#13063283C2311yescharacteristic
343#13063283C2311yescharacteristic
344#13063283C2311yescharacteristic
345#13063283C2311yescharacteristic
346#13063282—21no—
347#13063282—21no—
348#13063282—21no—
349#13063282—21no—
350#13063282C2311yescharacteristic
351#13063282C2311yescharacteristic
352C2×C4⋊Dic43C2311yescharacteristic
353C2×Dic43⋊C4—21no—
354C4⋊C4×D43—21no—
355C4⋊C4×D43—21no—
356C4⋊C4×D43—21no—
357C4⋊C4×D43—21no—
358C4⋊C4×D43—21no—
359C4⋊C4×D43—21no—
360C4⋊C4×D43C2311yescharacteristic
361C4⋊C4×D43C2311yescharacteristic
362C4⋊C4×D43C2311yescharacteristic
363C4⋊C4×D43C2311yescharacteristic
364C4⋊C4×D43C2311yescharacteristic
365C4⋊C4×D43C2311yescharacteristic
366C2×C4×Dic43C2311yescharacteristic
367C42×D43C2311yescharacteristic
368C42×D43C2311yescharacteristic
369#13063259C2311yescharacteristic
370#13063259C2311yescharacteristic
371#13063259C2311yescharacteristic
372#13063259C2311yescharacteristic
373#13063258C2311yescharacteristic
374#13063258C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063249C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063245C2311yescharacteristic
416#13063245C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C4⋊Q8×C43—21no—
436C4⋊Q8×C43C2311yescharacteristic
437C4⋊Q8×C43C2311yescharacteristic
438C4⋊Q8×C43C2311yescharacteristic
439#126×C43—21no—
440#126×C43—21no—
441#125×C43—21no—
442#125×C43—21no—
443#125×C43—21no—
444#125×C43C2311yescharacteristic
445#125×C43C2311yescharacteristic
446#125×C43C2311yescharacteristic
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450C22⋊Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453#117×C43C2311yescharacteristic
454#117×C43C2311yescharacteristic
455C2×C4⋊C4×C43C2311yescharacteristic
456#107×C43C2311yescharacteristic
457#107×C43C2311yescharacteristic
458#107×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#106×C43C2311yescharacteristic
461#106×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—21no—
479C2×Q8×C43—21no—
480C2×Q8×C43C2411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C22×C4×C43—21no—
483C22×C4×C43C2411yescharacteristic
484C2×C22⋊D43—21no—
485C2×C22⋊D43—21no—
486C2×C22⋊D43C2×D411yescharacteristic
487C2×C22⋊D43C2×D411yescharacteristic
488C22×Dic43—21no—
489C22×Dic43C2×D411yescharacteristic
490C22×Dic43C2×D411yescharacteristic
491#10621902—22no—
492#10621902—22no—
493#10621902—22no—
494#10621902—22no—
495Q8×D43—82no—
496Q8×D43—82no—
497#10621898—22no—
498#10621898—22no—
499C2×D172—21no—
500C2×D172—21no—
501C2×D172—21no—
502C2×D172—21no—
503C2×D172—21no—
504C2×D172—21no—
505C2×D172C2×D411yescharacteristic
506C2×D172C2411yescharacteristic
507C2×D172C2411yescharacteristic
508C2×C4×D43—21no—
509C2×C4×D43—21no—
510C2×C4×D43—21no—
511C2×C4×D43—21no—
512C2×C4×D43—21no—
513C2×C4×D43—21no—
514C2×C4×D43—21no—
515C2×C4×D43—21no—
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43C2×D411yescharacteristic
521C2×C4×D43C2×D411yescharacteristic
522C2×C4×D43C2×D411yescharacteristic
523C2×C4×D43C2×D411yescharacteristic
524C2×C4×D43C2411yescharacteristic
525C2×C4×D43C2411yescharacteristic
526C2×Dic86—21no—
527C2×Dic86—21no—
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—82no—
535C2×Dic86C2×D411yescharacteristic
536C2×C8×C43C2411yescharacteristic
537C2×C8×C43C2411yescharacteristic
538C2×C8×C43C2411yescharacteristic
539C2×C8×C43C2411yescharacteristic
540C4⋊C4×C43—21no—
541C4⋊C4×C43—21no—
542C4⋊C4×C43—21no—
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43C2×D411yescharacteristic
556C4⋊C4×C43C2×D411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43C2×D411yescharacteristic
567C22⋊C4×C43C2×D411yescharacteristic
568C42×C43—21no—
569C42×C43—21no—
570C42×C43—21no—
571C42×C43C2411yescharacteristic
572C42×C43C2411yescharacteristic
573C22⋊Dic43—21no—
574(C2×D43)⋊C4—21no—
575(C2×D43)⋊C4—21no—
576(C2×D43)⋊C4—21no—
577(C2×D43)⋊C4—21no—
578(C2×D43)⋊C4—21no—
579(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
593(C2×D43)⋊C4C2×D411yescharacteristic
594(C2×D43)⋊C4C2×D411yescharacteristic
595(C2×D43)⋊C4C2×D411yescharacteristic
596C4⋊Dic43—21no—
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⋊Dic43C2411yescharacteristic
606C4⋊Dic43C2411yescharacteristic
607C4⋊Dic43C2411yescharacteristic
608C4⋊Dic43C2411yescharacteristic
609C4⋊Dic43C2411yescharacteristic
610C4⋊Dic43C2411yescharacteristic
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⋊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⋊C4C2×D411yescharacteristic
636Dic43⋊C4C2×D411yescharacteristic
637Dic43⋊C4C2×D411yescharacteristic
638Dic43⋊C4C2×D411yescharacteristic
639C4×Dic43—21no—
640C4×Dic43—21no—
641C4×Dic43—21no—
642C4×Dic43—21no—
643C4×Dic43—21no—
644C4×Dic43—21no—
645C4×Dic43—21no—
646C4×Dic43C2×D411yescharacteristic
647C4×Dic43C2×D411yescharacteristic
648C4×Dic43C2×D411yescharacteristic
649C4×Dic43C2×D411yescharacteristic
650C4×Dic43C2×D411yescharacteristic
651C4×Dic43C2×D411yescharacteristic
652C4×Dic43C2411yescharacteristic
653C4×Dic43C2411yescharacteristic
654C2×C43⋊C8C2411yescharacteristic
655C2×C43⋊C8C2411yescharacteristic
656C2×C43⋊C8C2411yescharacteristic
657C2×C43⋊C8C2411yescharacteristic
658#10621872—22no—
659#10621872—22no—
660C8×D43—22no—
661C8×D43—22no—
662C23×C43C22×D411yescharacteristic
663C22×D43—21no—
664C22×D43—21no—
665C22×D43C22×D411yescharacteristic
666C22×D43C22×D411yescharacteristic
667Q8×C43—21no—
668Q8×C43—21no—
669Q8×C43—21no—
670Q8×C43—21no—
671Q8×C43—81no—
672Q8×C43—81no—
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×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—81no—
684C2×C4×C43C22×D411yescharacteristic
685C2×C4×C43C22×D411yescharacteristic
686C2×C4×C43C22×D411yescharacteristic
687C2×C4×C43C22×D411yescharacteristic
688C2×C4×C43C22×D411yescharacteristic
689C2×C4×C43C2511yescharacteristic
690C22⋊D43—22no—
691C22⋊D43—22no—
692C22⋊D43—81no—
693C22⋊D43—81no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—41no—
701C2×Dic43—41no—
702C2×Dic43—81no—
703C2×Dic43C22×D411yescharacteristic
704C2×Dic43C22×D411yescharacteristic
705C2×Dic43C22×D411yescharacteristic
706C2×Dic43C22×D411yescharacteristic
707C2×Dic43C22×D411yescharacteristic
708C2×Dic43C22×D411yescharacteristic
709D172—22no—
710D172—21no—
711D172—21no—
712D172—21no—
713D172—21no—
714D172—42no—
715D172—42no—
716D172—81no—
717D172—81no—
718D172—81no—
719D172—81no—
720C4×D43—21no—
721C4×D43—21no—
722C4×D43—41no—
723C4×D43—41no—
724C4×D43—41no—
725C4×D43—41no—
726C4×D43—42no—
727C4×D43—42no—
728C4×D43—81no—
729C4×D43—81no—
730C4×D43—81no—
731C4×D43—81no—
732C4×D43—81no—
733C4×D43—81no—
734C4×D43—81no—
735C4×D43—81no—
736C4×D43—81no—
737C4×D43—81no—
738C4×D432−1+412yes—
739C4×D432−1+412yes—
740Dic86—22no—
741Dic86—42no—
742Dic86—42no—
743Dic86—42no—
744Dic86—42no—
745Dic86—81no—
746Dic86—81no—
747Dic86—81no—
748Dic86—81no—
749C8×C43—21no—
750C8×C43—21no—
751C8×C43—21no—
752C8×C43—21no—
753C43⋊C8—21no—
754C43⋊C8—21no—
755C43⋊C8—21no—
756C43⋊C8—21no—
757#60887—431nomaximal, Sylow
758C22×C43—21no—
759C22×C43—21no—
760C22×C43—21no—
761C22×C43C23×D411yescharacteristic
762C2×D43—21no—
763C2×D43—21no—
764C2×D43—21no—
765C2×D43—21no—
766C2×D43—21no—
767C2×D43—41no—
768C2×D43—41no—
769C2×D43—41no—
770C2×D43—41no—
771C2×D43—41no—
772C2×D43—41no—
773C2×D43#53612yes—
774C4×C43—21no—
775C4×C43—21no—
776C4×C43—21no—
777C4×C43—21no—
778C4×C43—21no—
779C4×C43—41no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43—41no—
785C4×C43—41no—
786C4×C43—41no—
787C4×C43C2×2−1+411yescharacteristic
788C4×C43C2×2−1+411yescharacteristic
789Dic43—21no—
790Dic43—21no—
791Dic43—21no—
792Dic43—21no—
793Dic43—21no—
794Dic43—41no—
795Dic43—41no—
796Dic43—41no—
797Dic43—41no—
798Dic43—41no—
799Dic43—41no—
800Dic43#53612yes—
801#3512—431no—
802#3503—431no—
803#3242—431no—
804#3242—431no—
805#3242—431no—
806#3242D4311yescharacteristic, complemented
807#3241—431no—
808#3241—431no—
809#3241—431no—
810#3241—431no—
811#3240—431no—
812#3240—431no—
813#3240—431no—
814#3240—431no—
815#3239—431no—
816#3239—431no—
817#3238—431no—
818#3238—431no—
819#3166—431no—
820C2×#501—431no—
821#3141—431no—
822#3135—431no—
823#3099—431no—
824#3099—431no—
825#3098—431no—
826#3098—431no—
827#3084—431no—
828#3084—431no—
829#3083—431no—
830#3083—431no—
831#2923—431no—
832C2×C43—41no—
833C2×C43C2×#53611yescharacteristic
834C2×C43#358511yescharacteristic
835C2×C43#358611yescharacteristic
836D43—22no—
837D43—41no—
838D43—81no—
839D43—81no—
840Q82—861no—
841#557—861no—
842#554—861no—
843#554—861no—
844#554—861no—
845#553—861no—
846#553—861no—
847#553—861no—
848#553—861no—
849#553—861no—
850#553—861no—
851#552—861no—
852#552—861no—
853D4×Q8—861no—
854D4×Q8—861no—
855D4×Q8—861no—
856#544—431no—
857#544—431no—
858#544—431no—
859#544—431no—
860#544—431no—
861#544C2×D4311yescharacteristic
862#541—431no—
863#541C2×D4311yescharacteristic
864#540—431no—
865#540—431no—
866#537—431no—
867#537—431no—
868#533—431no—
869#533—431no—
870#533—431no—
871#532—431no—
872C2×C4⋊Q8—431no—
873C2×C4⋊Q8—431no—
874C2×C4⋊Q8—431no—
875#529—431no—
876#529—431no—
877#529—431no—
878#529—431no—
879C2×#125—431no—
880#520—431no—
881#520—431no—
882#520—431no—
883#520—431no—
884C4×#41—431no—
885#501—431no—
886#501—431no—
887#501—431no—
888#501—431no—
889#501—431no—
890#501—431no—
891#501—431no—
892#501—431no—
893#501—431no—
894#501—431no—
895#501—431no—
896#501C2×D4311yescharacteristic
897#499—431no—
898#499—431no—
899#499—431no—
900#499C2×D4311yescharacteristic
901#491—431no—
902#491C2×D4311yescharacteristic
903#490—431no—
904#490—431no—
905#489—431no—
906#489—431no—
907#489—431no—
908#489—431no—
909#489—431no—
910#489—431no—
911#489—431no—
912#489—431no—
913#487—431no—
914#487C2×D4311yescharacteristic
915#486—431no—
916#486—431no—
917#485—431no—
918#485—431no—
919#485—431no—
920#485—431no—
921#485—431no—
922#485—431no—
923#485C2×D4311yescharacteristic
924#485C2×D4311yescharacteristic
925#484—431no—
926#484—431no—
927#484—431no—
928#484C2×D4311yescharacteristic
929#483—431no—
930#483—431no—
931#483—431no—
932#483C2×D4311yescharacteristic
933#482—431no—
934#482—431no—
935#482—431no—
936#482—431no—
937#482—431no—
938#482—431no—
939#482—431no—
940#482—431no—
941#481—431no—
942#481—431no—
943#481—431no—
944#481—431no—
945#480—431no—
946#480—431no—
947#480—431no—
948#480—431no—
949#479—431no—
950#479—431no—
951#479—431no—
952#479—431no—
953#479—431no—
954#479—431no—
955#479C2×D4311yescharacteristic
956#479C2×D4311yescharacteristic
957#478—431no—
958#478—431no—
959#478—431no—
960#478—431no—
961#478—431no—
962#478—431no—
963#478—431no—
964#478—431no—
965#477—431no—
966#477—431no—
967#477—431no—
968#477C2×D4311yescharacteristic
969#476—431no—
970#476—431no—
971#476—431no—
972#476—431no—
973#475—431no—
974#475—431no—
975#475—431no—
976#475C2×D4311yescharacteristic
977#474—431no—
978#474—431no—
979#474—431no—
980#474—431no—
981#433—431no—
982#433—431no—
983#433—431no—
984#433C2×D4311yescharacteristic
985#432—431no—
986#432—431no—
987#432—431no—
988#432—431no—
989#428—431no—
990#428—431no—
991#428—431no—
992#428—431no—
993C2×#107—431no—
994C2×#107—431no—
995C2×#106—431no—
996C2×#106—431no—
997#424—431no—
998#424—431no—
999#417—431no—
1000#417—431no—
1001#417—431no—
1002#417—431no—
1003#416—431no—
1004#416—431no—
1005#416—431no—
1006#416—431no—
1007#408—431no—
1008#408—431no—
1009C4×M16—431no—
1010C2×#97—431no—
1011C43#6088711yescharacteristic, complemented, Sylow
1012C2×#41—431no—
1013C2×#41—431no—
1014C2×#41—431no—
1015C22×Q8—861no—
1016C22×Q8—861no—
1017C22×Q8—861no—
1018C2×M16—431no—
1019C2×M16—431no—
1020C22×C8—431no—
1021C22×C8—431no—
1022C4⋊Q8—21no—
1023C4⋊Q8—431no—
1024C4⋊Q8—431no—
1025C4⋊Q8—431no—
1026C4⋊Q8—431no—
1027C4⋊Q8—431no—
1028C4⋊Q8—431no—
1029C4⋊Q8—431no—
1030C4⋊Q8—431no—
1031C4⋊Q8—861no—
1032C4⋊Q8—861no—
1033C4⋊Q8—861no—
1034C4⋊Q8—861no—
1035C4⋊Q8—861no—
1036C4⋊Q8—861no—
1037C4⋊Q8—861no—
1038C4⋊Q8—861no—
1039C4⋊Q8—861no—
1040C4⋊Q8—861no—
1041C4⋊Q8—861no—
1042C4⋊Q8C22×D4311yescharacteristic
1043C4⋊Q8C22×D4311yescharacteristic
1044C4⋊Q8C22×D4311yescharacteristic
1045#127—431no—
1046#126—21no—
1047#126—21no—
1048#126—861no—
1049#126—861no—
1050#126—861no—
1051#126—861no—
1052#126—861no—
1053#126—861no—
1054#125—21no—
1055#125—21no—
1056#125—21no—
1057#125—431no—
1058#125—431no—
1059#125—431no—
1060#125—431no—
1061#125—431no—
1062#125—431no—
1063#125—431no—
1064#125—861no—
1065#125—861no—
1066#125—861no—
1067#125—861no—
1068#125—861no—
1069#125—861no—
1070#125—861no—
1071#125—861no—
1072#125—861no—
1073#125C22×D4311yescharacteristic
1074#125C22×D4311yescharacteristic
1075#125C22×D4311yescharacteristic
1076#124—431no—
1077#124—431no—
1078#123—861no—
1079#123—861no—
1080#123—861no—
1081#123—861no—
1082#123—861no—
1083#123—861no—
1084#123—861no—
1085#123—861no—
1086C22⋊Q8—21no—
1087C22⋊Q8—21no—
1088C22⋊Q8—431no—
1089C22⋊Q8—431no—
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—
1102C22⋊Q8—861no—
1103C22⋊Q8—861no—
1104C22⋊Q8—861no—
1105C22⋊Q8—861no—
1106C22⋊Q8—861no—
1107C22⋊Q8—861no—
1108C22⋊Q8C22×D4311yescharacteristic
1109C22⋊Q8C22×D4311yescharacteristic
1110#121—431no—
1111#121—431no—
1112#121—431no—
1113#121—431no—
1114#121—861no—
1115#121—861no—
1116#121—861no—
1117#121—861no—
1118#121—861no—
1119#121—861no—
1120#121—861no—
1121#121—861no—
1122#121—861no—
1123#121—861no—
1124#121—861no—
1125#121—861no—
1126C4×Q8—431no—
1127C4×Q8—431no—
1128C4×Q8—431no—
1129C4×Q8—431no—
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×Q8C22×D4311yescharacteristic
1139C4×Q8C22×D4311yescharacteristic
1140C4×D4—431no—
1141C4×D4—431no—
1142C4×D4—431no—
1143C4×D4—431no—
1144C4×D4—431no—
1145C4×D4—431no—
1146C4×D4—431no—
1147C4×D4—431no—
1148C4×D4—431no—
1149C4×D4—431no—
1150C4×D4—861no—
1151C4×D4—861no—
1152C4×D4—861no—
1153C4×D4—861no—
1154C4×D4—861no—
1155C4×D4—861no—
1156C4×D4—861no—
1157C4×D4—861no—
1158C4×D4—861no—
1159C4×D4—861no—
1160C4×D4—861no—
1161C4×D4—861no—
1162C4×D4—861no—
1163C4×D4—861no—
1164C4×D4—861no—
1165C4×D4—861no—
1166#117—431no—
1167#117—431no—
1168#117—431no—
1169#117—431no—
1170#117—431no—
1171#117—431no—
1172#117—431no—
1173#117—861no—
1174#117—861no—
1175#117—861no—
1176#117—861no—
1177#117—861no—
1178#117—861no—
1179#117C22×D4311yescharacteristic
1180#117C22×D4311yescharacteristic
1181C2×C4⋊C4—431no—
1182C2×C4⋊C4—431no—
1183C2×C4⋊C4—431no—
1184C2×C4⋊C4—431no—
1185C2×C4⋊C4—431no—
1186C2×C4⋊C4—431no—
1187C2×C4⋊C4—431no—
1188C2×C4⋊C4—861no—
1189C2×C4⋊C4—861no—
1190C2×C4⋊C4—861no—
1191C2×C4⋊C4—861no—
1192C2×C4⋊C4—861no—
1193C2×C4⋊C4—861no—
1194C2×C4⋊C4—861no—
1195C2×C4⋊C4C22×D4311yescharacteristic
1196C2×C42—431no—
1197C2×C42—431no—
1198C2×C42—431no—
1199#107—431no—
1200#107—431no—
1201#107—431no—
1202#107—431no—
1203#107—431no—
1204#107—431no—
1205#107—431no—
1206#107—431no—
1207#107—431no—
1208#107—431no—
1209#107—431no—
1210#107—431no—
1211#107C22×D4311yescharacteristic
1212#107C22×D4311yescharacteristic
1213#107C22×D4311yescharacteristic
1214#107C22×D4311yescharacteristic
1215#106—431no—
1216#106—431no—
1217#106—431no—
1218#106—431no—
1219#106—431no—
1220#106—431no—
1221#106—431no—
1222#106—431no—
1223#106—431no—
1224#106—431no—
1225#106—431no—
1226#106—431no—
1227#106C22×D4311yescharacteristic
1228#106C22×D4311yescharacteristic
1229#106C22×D4311yescharacteristic
1230#106C22×D4311yescharacteristic
1231C4⋊C8—431no—
1232C4⋊C8—431no—
1233C4⋊C8—431no—
1234C4⋊C8—431no—
1235C4⋊C8—431no—
1236C4⋊C8—431no—
1237C4⋊C8C22×D4311yescharacteristic
1238C4⋊C8C22×D4311yescharacteristic
1239#103—431no—
1240#103—431no—
1241#103—431no—
1242#103—431no—
1243#103—431no—
1244#103—431no—
1245#103—431no—
1246#103—431no—
1247#103C22×D4311yescharacteristic
1248#103C22×D4311yescharacteristic
1249#103C22×D4311yescharacteristic
1250#103C22×D4311yescharacteristic
1251#103C22×D4311yescharacteristic
1252#103C22×D4311yescharacteristic
1253#103C22×D4311yescharacteristic
1254#103C22×D4311yescharacteristic
1255#102—431no—
1256#102—431no—
1257#102—431no—
1258#102—431no—
1259#102—431no—
1260#102—431no—
1261#102—431no—
1262#102—431no—
1263#102—431no—
1264#102—431no—
1265#102—431no—
1266#102—431no—
1267#102—431no—
1268#102—431no—
1269#102—431no—
1270#102—431no—
1271C22⋊C8—431no—
1272C22⋊C8—431no—
1273C22⋊C8—431no—
1274C22⋊C8—431no—
1275C22⋊C8—431no—
1276C22⋊C8—431no—
1277C22⋊C8C22×D4311yescharacteristic
1278C22⋊C8C22×D4311yescharacteristic
1279#97—431no—
1280#97—431no—
1281#97—431no—
1282#97—431no—
1283#97—431no—
1284#97C22×D4311yescharacteristic
1285C4×C8—431no—
1286C4×C8C22×D4311yescharacteristic
1287#41—862no—
1288#41—862no—
1289#41—862no—
1290#41—862no—
1291#41—862no—
1292#41—862no—
1293C2×Q8—21no—
1294C2×Q8—21no—
1295C2×Q8—431no—
1296C2×Q8—861no—
1297C2×Q8—861no—
1298C2×Q8—861no—
1299C2×Q8—861no—
1300C2×Q8—861no—
1301C2×Q8—861no—
1302C2×Q8—861no—
1303C2×Q8—861no—
1304C2×Q8—3442no—
1305C2×Q8—3442no—
1306C2×Q8—3442no—
1307C2×Q8C23×D4311yescharacteristic
1308C2×Q8C23×D4311yescharacteristic
1309C2×D4—431no—
1310C2×D4—431no—
1311C2×D4—431no—
1312C2×D4—431no—
1313C2×D4—431no—
1314C2×D4—861no—
1315C2×D4—861no—
1316C2×D4—861no—
1317C2×D4—861no—
1318C2×D4—861no—
1319C2×D4—861no—
1320C2×D4—861no—
1321C2×D4—861no—
1322C22×C4—21no—
1323C22×C4—431no—
1324C22×C4—431no—
1325C22×C4—431no—
1326C22×C4—431no—
1327C22×C4—431no—
1328C22×C4—431no—
1329C22×C4—431no—
1330C22×C4—431no—
1331C22×C4—861no—
1332C22×C4—861no—
1333C22×C4—861no—
1334C22×C4—861no—
1335C22×C4—861no—
1336C22×C4—861no—
1337C22×C4—861no—
1338C22×C4—861no—
1339C22×C4—861no—
1340C22×C4—861no—
1341C22×C4—861no—
1342C22×C4—861no—
1343C22×C4—861no—
1344C22×C4C23×D4311yescharacteristic
1345M16—862no—
1346M16—862no—
1347C2×C8—431no—
1348C2×C8—431no—
1349C2×C8—431no—
1350C2×C8—431no—
1351C2×C8—862no—
1352C2×C8—862no—
1353C2×C8C23×D4311yescharacteristic
1354C2×C8C23×D4311yescharacteristic
1355C2×C8C23×D4311yescharacteristic
1356C2×C8C23×D4311yescharacteristic
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—431no—
1373C4⋊C4—431no—
1374C4⋊C4—431no—
1375C4⋊C4—431no—
1376C4⋊C4—431no—
1377C4⋊C4—431no—
1378C4⋊C4—431no—
1379C4⋊C4—431no—
1380C4⋊C4—431no—
1381C4⋊C4—431no—
1382C4⋊C4—861no—
1383C4⋊C4—861no—
1384C4⋊C4—861no—
1385C4⋊C4—861no—
1386C4⋊C4—861no—
1387C4⋊C4—861no—
1388C4⋊C4—861no—
1389C4⋊C4—861no—
1390C4⋊C4—861no—
1391C4⋊C4—861no—
1392C4⋊C4—861no—
1393C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1416C4⋊C4D4×D4311yescharacteristic
1417C4⋊C4C23×D4311yescharacteristic
1418C4⋊C4C23×D4311yescharacteristic
1419C4⋊C4C23×D4311yescharacteristic
1420C4⋊C4C23×D4311yescharacteristic
1421C4⋊C4C23×D4311yescharacteristic
1422C4⋊C4C23×D4311yescharacteristic
1423C22⋊C4—21no—
1424C22⋊C4—21no—
1425C22⋊C4—21no—
1426C22⋊C4—431no—
1427C22⋊C4—431no—
1428C22⋊C4—431no—
1429C22⋊C4—431no—
1430C22⋊C4—861no—
1431C22⋊C4—861no—
1432C22⋊C4—861no—
1433C22⋊C4—861no—
1434C22⋊C4—861no—
1435C22⋊C4—861no—
1436C22⋊C4—861no—
1437C22⋊C4—861no—
1438C22⋊C4—861no—
1439C22⋊C4—861no—
1440C22⋊C4—861no—
1441C22⋊C4—861no—
1442C22⋊C4—861no—
1443C22⋊C4—861no—
1444C22⋊C4—861no—
1445C22⋊C4—861no—
1446C22⋊C4—861no—
1447C22⋊C4—861no—
1448C22⋊C4—861no—
1449C22⋊C4D4×D4311yescharacteristic
1450C22⋊C4D4×D4311yescharacteristic
1451C42—21no—
1452C42—21no—
1453C42—21no—
1454C42—431no—
1455C42—431no—
1456C42—431no—
1457C42—431no—
1458C42—431no—
1459C42—431no—
1460C42—431no—
1461C42—431no—
1462C42—861no—
1463C42—861no—
1464C42—861no—
1465C42—861no—
1466C42—861no—
1467C42—861no—
1468C42—861no—
1469C42C23×D4311yescharacteristic
1470C42C23×D4311yescharacteristic
1471C23—431no—
1472C23—431no—
1473C23—861no—
1474C23—861no—
1475C23C2×D4×D4311yescharacteristic
1476Q8—21no—
1477Q8—21no—
1478Q8—21no—
1479Q8—21no—
1480Q8—81no—
1481Q8—81no—
1482Q8—862no—
1483Q8—3441no—
1484Q8—3441no—
1485Q8—3441no—
1486Q8—3441no—
1487Q8—1722no—
1488Q8—1722no—
1489Q8—1722no—
1490Q8—1722no—
1491D4—862no—
1492D4—862no—
1493D4—862no—
1494D4—861no—
1495D4—861no—
1496D4—861no—
1497D4—861no—
1498D4—3441no—
1499D4—3441no—
1500D4—3441no—
1501D4—3441no—
1502D4—3441no—
1503D4—3441no—
1504D4—1722no—
1505D4—1722no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—81no—
1517C2×C4—431no—
1518C2×C4—432no—
1519C2×C4—432no—
1520C2×C4—431no—
1521C2×C4—431no—
1522C2×C4—431no—
1523C2×C4—431no—
1524C2×C4—431no—
1525C2×C4—861no—
1526C2×C4—861no—
1527C2×C4—861no—
1528C2×C4—861no—
1529C2×C4—861no—
1530C2×C4—861no—
1531C2×C4—861no—
1532C2×C4—861no—
1533C2×C4—3441no—
1534C2×C4—3441no—
1535C2×C4—3441no—
1536C2×C4—3441no—
1537C2×C4—3441no—
1538C2×C4—3441no—
1539C2×C4—3441no—
1540C2×C4—3441no—
1541C2×C4—3441no—
1542C2×C4—3441no—
1543C2×C4—3441no—
1544C2×C4—1721no—
1545C2×C4—1721no—
1546C2×C4—1721no—
1547C2×C4—1721no—
1548C2×C4—1722no—
1549C2×C4—1722no—
1550C2×C4—1721no—
1551C2×C4—1721no—
1552C2×C4C2×D4×D4311yescharacteristic
1553C2×C4C2×D4×D4311yescharacteristic
1554C2×C4C2×D4×D4311yescharacteristic
1555C2×C4C2×D4×D4311yescharacteristic
1556C2×C4C2×D4×D4311yescharacteristic
1557C2×C4C24×D4311yescharacteristic
1558C8—21no—
1559C8—21no—
1560C8—21no—
1561C8—21no—
1562C8—861no—
1563C8—861no—
1564C8—861no—
1565C8—861no—
1566C22—21no—
1567C22—21no—
1568C22—21no—
1569C22—432no—
1570C22—861no—
1571C22—861no—
1572C22—861no—
1573C22—861no—
1574C22—861no—
1575C22—1721no—
1576C22—1721no—
1577C22—1721no—
1578C22—1721no—
1579C22—1721no—
1580C22—1721no—
1581C22C22×D4×D4311yescharacteristic
1582C4—21no—
1583C4—21no—
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—432no—
1596C4—861no—
1597C4—861no—
1598C4—861no—
1599C4—861no—
1600C4—861no—
1601C4—1721no—
1602C4—1721no—
1603C4—1721no—
1604C4—1721no—
1605C4—1721no—
1606C4—1721no—
1607C42−1+4×D4311yescharacteristic
1608C42−1+4×D4311yescharacteristic
1609C2—41no—
1610C2—862no—
1611C2—3441no—
1612C2—3441no—
1613C2—1721no—
1614C2#536×D4311yescharacteristic
1615C2#1914937311yescharacteristic
1616C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3242C2
socleC22×C43C23×D4
prime radical#19148518C2
hypercenter#3242D43
hypocenterC43#60887
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3242

Complements

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

NH ≅ G/Ntype
2. #19148410C2semidirect
3. #19145858C2semidirect
4. #19145857C2semidirect
5. #19145856C2semidirect
6. #19145851C2semidirect
7. #19145850C2semidirect
8. #19145849C2semidirect
9. #19145848C2semidirect
10. #19145840C2semidirect
11. #19145840C2semidirect
12. #19145839C2semidirect
13. #19145839C2semidirect
14. #19145829C2semidirect
15. #19145828C2semidirect
16. #19145820C2semidirect
17. #19145819C2semidirect
18. #19145143C2semidirect
19. #501×D43C2semidirect
20. #19144990C2semidirect
21. #19144942C2semidirect
22. #19144581C2semidirect
23. #19144579C2semidirect
24. #19144576C2semidirect
25. #19144574C2semidirect
26. #19144460C2semidirect
27. #19144454C2semidirect
28. #19144449C2semidirect
29. #19144443C2semidirect
30. #19143243C2semidirect
31. C43×#3242C2semidirect
806. #3242D43semidirect
1011. C43#60887semidirect

Maximal subgroups

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

subgroupindex
#191485182
#191484102
#191458582
#191458572
#191458562
#191458512
#191458502
#191458492
#191458482
#191458402
#191458392
#191458292
#191458282
#191458202
#191458192
#191451432
#501×D432
#191449902
#191449422
#191445812
#191445792
#191445762
#191445742
#191444602
#191444542
#191444492
#191444432
#191432432
C43×#32422
#6088743