Finite Group Databasebeta

← #25987469

Subgroups — #25987469

Order 11008.

1722 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149054C211yesmaximal, characteristic, complemented
2#19148394C211yesmaximal, characteristic, complemented
3#19147554C211yesmaximal, characteristic, complemented
4#19147552C211yesmaximal, characteristic, complemented
5#19147543C211yesmaximal, characteristic, complemented
6#19147541C211yesmaximal, characteristic, complemented
7#19147498C211yesmaximal, characteristic, complemented
8#19147496C211yesmaximal, characteristic, complemented
9#19147494C211yesmaximal, characteristic, complemented
10#19147492C211yesmaximal, characteristic, complemented
11#19147384C211yesmaximal, characteristic, complemented
12#19147382C211yesmaximal, characteristic, complemented
13#19147354C211yesmaximal, characteristic, complemented
14#19147352C211yesmaximal, characteristic, complemented
15#19147342C211yesmaximal, characteristic, complemented
16#19147299C211yesmaximal, characteristic, complemented
17#19147297C211yesmaximal, characteristic, complemented
18#19145888C211yesmaximal, characteristic, complemented
19#19145886C211yesmaximal, characteristic, complemented
20#19145855C211yesmaximal, characteristic, complemented
21#19145853C211yesmaximal, characteristic, complemented
22#19145840C211yesmaximal, characteristic, complemented
23#19145788C211yesmaximal, characteristic, complemented
24#19144837C211yesmaximal, characteristic, complemented
25#19144835C211yesmaximal, characteristic, complemented
26#19144778C211yesmaximal, characteristic, complemented
27#19144776C211yesmaximal, characteristic, complemented
28#19144737C211yesmaximal, characteristic, complemented
29#19144685C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3370C211yesmaximal, characteristic, complemented
32#14583646—21no—
33#14583646—21no—
34#14583631C2211yescharacteristic, complemented
35#14583631C2211yescharacteristic, complemented
36#14583628C2211yescharacteristic, complemented
37#14583609C2211yescharacteristic
38#14583608C2211yescharacteristic
39#14583608C2211yescharacteristic
40#14583606C2211yescharacteristic, complemented
41#14583606C2211yescharacteristic, complemented
42#14583605C2211yescharacteristic
43#14583605C2211yescharacteristic
44#14583604—21no—
45#14583603—21no—
46#14583603—21no—
47#14583569C2211yescharacteristic, complemented
48Q8×D172C2211yescharacteristic, complemented
49D4×Dic86C2211yescharacteristic
50#14583564C2211yescharacteristic
51#14583562—21no—
52#14583557—21no—
53#14583553—21no—
54#14583529C2211yescharacteristic
55#14583526C2211yescharacteristic
56#14583524—21no—
57#14583524—21no—
58#14583518C2211yescharacteristic
59#14583518C2211yescharacteristic
60#14583514—21no—
61#14583500C2211yescharacteristic
62#14583500C2211yescharacteristic
63#14583493—21no—
64#14583493—21no—
65#14583469—21no—
66#14583455C2211yescharacteristic
67#14583453C2211yescharacteristic
68#14583447C2211yescharacteristic
69#14583436C2211yescharacteristic
70C2×#13063303—21no—
71C22⋊Q8×D43—21no—
72#14583371C2211yescharacteristic
73#14583371C2211yescharacteristic
74C4×D4×D43C2211yescharacteristic
75#14583309C2211yescharacteristic, complemented
76#14583309C2211yescharacteristic, complemented
77#14583308C2211yescharacteristic, complemented
78#14583308C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583307C2211yescharacteristic, complemented
81#14583307C2211yescharacteristic, complemented
82#14583306C2211yescharacteristic, complemented
83#14583300C2211yescharacteristic, complemented
84#14583299C2211yescharacteristic, complemented
85#14583297C2211yescharacteristic, complemented
86#14583295C2211yescharacteristic, complemented
87#14583263C2211yescharacteristic, complemented
88#14583262C2211yescharacteristic, complemented
89#14583262C2211yescharacteristic, complemented
90#14583260C2211yescharacteristic, complemented
91#14583260C2211yescharacteristic, complemented
92#14583258C2211yescharacteristic, complemented
93#14583253C2211yescharacteristic, complemented
94#14583244C2211yescharacteristic, complemented
95#14583244C2211yescharacteristic, complemented
96#14583239C2211yescharacteristic
97#14583238C2211yescharacteristic
98#14583228C2211yescharacteristic
99#14583226C2211yescharacteristic
100#14583225C2211yescharacteristic
101#14583222C2211yescharacteristic
102#14583222C2211yescharacteristic
103#14583221C2211yescharacteristic
104#14583221C2211yescharacteristic
105#14583216C2211yescharacteristic
106#14583216C2211yescharacteristic
107#14583214C2211yescharacteristic
108#14583208C2211yescharacteristic, complemented
109#14583206C2211yescharacteristic, complemented
110#14583204C2211yescharacteristic, complemented
111#14583202C2211yescharacteristic
112#14583202C2211yescharacteristic
113#14583201C2211yescharacteristic
114#14583201C2211yescharacteristic
115#14583201C2211yescharacteristic, complemented
116#14583200C2211yescharacteristic, complemented
117#14583200C2211yescharacteristic, complemented
118#14583199C2211yescharacteristic, complemented
119#14583198C2211yescharacteristic
120#14583197C2211yescharacteristic
121#14583197C2211yescharacteristic, complemented
122#14583196C2211yescharacteristic, complemented
123#14583196C2211yescharacteristic, complemented
124#14583190C2211yescharacteristic
125#14583190C2211yescharacteristic
126#14583190C2211yescharacteristic, complemented
127#14583189C2211yescharacteristic
128#14583189C2211yescharacteristic
129#14583187C2211yescharacteristic, complemented
130#14583187C2211yescharacteristic, complemented
131#14583187C2211yescharacteristic, complemented
132#14583187C2211yescharacteristic, complemented
133#14583186C2211yescharacteristic, complemented
134#14583182C2211yescharacteristic, complemented
135#14583182C2211yescharacteristic, complemented
136#14583180C2211yescharacteristic
137#14583179C2211yescharacteristic
138#14583179C2211yescharacteristic, complemented
139#14583177C2211yescharacteristic, complemented
140#14583177C2211yescharacteristic, complemented
141#14583117C2211yescharacteristic
142#14583116C2211yescharacteristic
143#14583111C2211yescharacteristic
144#14583111C2211yescharacteristic
145#14583093C2211yescharacteristic
146#14583093C2211yescharacteristic
147#14583092C2211yescharacteristic
148#14583092C2211yescharacteristic
149#14583091C2211yescharacteristic
150#14583048C2211yescharacteristic
151#14583034C2211yescharacteristic
152#14583031C2211yescharacteristic
153#14583031C2211yescharacteristic
154#14583030C2211yescharacteristic, complemented
155#14583029C2211yescharacteristic, complemented
156#14583028C2211yescharacteristic, complemented
157#14583028C2211yescharacteristic, complemented
158#14583027C2211yescharacteristic, complemented
159#14583027C2211yescharacteristic, complemented
160#14583026C2211yescharacteristic, complemented
161#14583012C2211yescharacteristic
162#14583012C2211yescharacteristic
163#14583011C2211yescharacteristic
164#14583011C2211yescharacteristic
165#14583011C2211yescharacteristic
166#14583009C2211yescharacteristic
167#14583009C2211yescharacteristic
168#14583009C2211yescharacteristic
169#14583008C2211yescharacteristic
170#14583008C2211yescharacteristic
171#14583008C2211yescharacteristic
172#14583002C2211yescharacteristic
173#14583000C2211yescharacteristic
174#14582997C2211yescharacteristic
175SD16×Dic43C2211yescharacteristic
176#14582984C2211yescharacteristic
177C4×D344C2211yescharacteristic
178D8×Dic43C2211yescharacteristic
179C4×#10621882C2211yescharacteristic
180C4×#10621882C2211yescharacteristic
181#14582979C2211yescharacteristic
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#559C2211yescharacteristic, complemented
189C43×#554C2211yescharacteristic
190C43×#490C2211yescharacteristic, complemented
191C43×#489C2211yescharacteristic, complemented
192C43×#488C2211yescharacteristic, complemented
193C43×#479C2211yescharacteristic, complemented
194C43×#478C2211yescharacteristic, complemented
195C43×#474C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic
197C43×#463C2211yescharacteristic
198C43×#459C2211yescharacteristic
199C43×#446C2211yescharacteristic, complemented
200C43×#442C2211yescharacteristic
201C43×#440C2211yescharacteristic
202C4×D8×C43C2211yescharacteristic
203C2×#10621900—21no—
204C2×#10621900—21no—
205C22×Dic86—21no—
206C2×Q8×D43—21no—
207C2×Q8×D43—21no—
208C2×D4×D43C2311yescharacteristic
209C22×C4×D43—21no—
210C2×#10621884C2311yescharacteristic
211C2×D344C2311yescharacteristic
212C2×#10621882C2311yescharacteristic
213C2×#10621882C2311yescharacteristic
214C2×#10621882C2311yescharacteristic
215#13063325—21no—
216#13063325C2311yescharacteristic
217#13063325C2311yescharacteristic
218#13063325C2311yescharacteristic
219#13063325C2311yescharacteristic
220#13063324—21no—
221#13063324D411yescharacteristic
222#13063324C2311yescharacteristic
223#13063324C2311yescharacteristic
224#13063324C2311yescharacteristic
225#13063324C2311yescharacteristic
226#13063323—21no—
227#13063323D411yescharacteristic
228#13063321C2311yescharacteristic
229#13063321C2311yescharacteristic
230#13063320—21no—
231#13063318—21no—
232#13063318—21no—
233#13063317C2311yescharacteristic
234#13063317C2311yescharacteristic
235#13063316—21no—
236#13063316—21no—
237#13063316C2311yescharacteristic
238#13063316C2311yescharacteristic
239#13063316C2311yescharacteristic
240#13063316C2311yescharacteristic
241#13063316C2311yescharacteristic
242#13063315—21no—
243#13063315—21no—
244#13063315D411yescharacteristic
245#13063315D411yescharacteristic
246#13063314C2311yescharacteristic
247#13063312—21no—
248#13063311—21no—
249#13063311—21no—
250#13063311—21no—
251#13063311—21no—
252#13063310—21no—
253#13063309—21no—
254#13063309—21no—
255#13063309—21no—
256#13063309—21no—
257#13063308—21no—
258#13063308—21no—
259#13063307—21no—
260#13063307—21no—
261#13063307—21no—
262#13063307—21no—
263#13063305—21no—
264#13063305—21no—
265#13063305—21no—
266#13063305—21no—
267#13063305—21no—
268#13063305—21no—
269#13063305D411yescharacteristic
270#13063304—21no—
271#13063304—21no—
272#13063304—21no—
273#13063304—21no—
274#13063304—21no—
275#13063303—21no—
276#13063303—21no—
277#13063303—21no—
278#13063303—21no—
279#13063303—21no—
280#13063303—21no—
281#13063303—21no—
282#13063303—21no—
283#13063303—21no—
284#13063303—21no—
285#13063303—21no—
286#13063303—21no—
287#13063303D411yescharacteristic
288#13063303D411yescharacteristic
289#13063302—21no—
290#13063302—21no—
291#13063302—21no—
292#13063302—21no—
293#13063302—21no—
294#13063302—21no—
295#13063302—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063301—21no—
302#13063301—21no—
303#13063301—21no—
304#13063301D411yescharacteristic
305#13063301C2311yescharacteristic
306#13063300C2311yescharacteristic
307#13063299—21no—
308#13063299—21no—
309#13063298—21no—
310#13063298—21no—
311#13063297—21no—
312#13063297—21no—
313#13063296—21no—
314#13063296—21no—
315#13063296C2311yescharacteristic
316#13063296C2311yescharacteristic
317Q8×Dic43C2311yescharacteristic
318Q8×Dic43C2311yescharacteristic
319C4×Dic86—21no—
320C4×Dic86C2311yescharacteristic
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323#13063290—21no—
324#13063290—21no—
325C4×D172—21no—
326C4×D172C2311yescharacteristic
327C4×D172C2311yescharacteristic
328C4×D172C2311yescharacteristic
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332D4×Dic43—21no—
333D4×Dic43C2311yescharacteristic
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340#13063287C2311yescharacteristic
341#13063287C2311yescharacteristic
342#13063287C2311yescharacteristic
343C4×C22⋊D43—21no—
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346(C22⋊D43)⋊C4—21no—
347(C22⋊D43)⋊C4—21no—
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063282—21no—
354#13063282C2311yescharacteristic
355#13063282C2311yescharacteristic
356C2×C4⋊Dic43—21no—
357C2×C4⋊Dic43—21no—
358C2×Dic43⋊C4—21no—
359C2×Dic43⋊C4—21no—
360C4⋊C4×D43—21no—
361C4⋊C4×D43—21no—
362C4⋊C4×D43—21no—
363C4⋊C4×D43C2311yescharacteristic
364C2×(C2×D43)⋊C4—21no—
365C2×(C2×D43)⋊C4—21no—
366C22⋊C4×D43—21no—
367C22⋊C4×D43—21no—
368C22⋊C4×D43—21no—
369C42×D43C2311yescharacteristic
370#13063259C2311yescharacteristic
371#13063259C2311yescharacteristic
372#13063259C2311yescharacteristic
373#13063258C2311yescharacteristic
374#13063258C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063257C2311yescharacteristic
379#13063257C2311yescharacteristic
380#13063257C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063256C2311yescharacteristic
385#13063256C2311yescharacteristic
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#13063249C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063247C2311yescharacteristic
404#13063247C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063246C2311yescharacteristic
410#13063246C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422(C2×D43)⋊C8C2311yescharacteristic
423(C2×D43)⋊C8C2311yescharacteristic
424(C2×D43)⋊C8C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426#13063236C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×SD16×C43C2311yescharacteristic
436C2×D8×C43C2311yescharacteristic
437C2×D8×C43C2311yescharacteristic
438C4⋊Q8×C43C2311yescharacteristic
439#127×C43C2311yescharacteristic
440#125×C43C2311yescharacteristic
441#125×C43C2311yescharacteristic
442#124×C43—21no—
443#124×C43C2311yescharacteristic
444#124×C43C2311yescharacteristic
445#123×C43—21no—
446#123×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43—21no—
450C4×Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×D4×C43—21no—
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C2×C4⋊C4×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#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#97×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C2×Q8×C43—21no—
480C2×Q8×C43C2×D411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C2×D4×C43—21no—
483C2×D4×C43—21no—
484C2×D4×C43C2411yescharacteristic
485C2×D4×C43C2411yescharacteristic
486C2×D4×C43C2411yescharacteristic
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C22×Dic43—21no—
500C22×Dic43—21no—
501C22×Dic43—21no—
502C22×Dic43—21no—
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43—21no—
506Q8×D43—82no—
507Q8×D43—82no—
508#10621900—82no—
509#10621900—82no—
510D4×D43—22no—
511D4×D43—22no—
512C2×D172—21no—
513C2×D172C2411yescharacteristic
514C2×D172C2411yescharacteristic
515C2×C4×D43—21no—
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—82no—
526C2×C4×D43C2×D411yescharacteristic
527C2×C4×D43C2×D411yescharacteristic
528C2×C4×D43C2411yescharacteristic
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86—21no—
537C2×Dic86—82no—
538C2×Dic86C2×D411yescharacteristic
539C2×Dic86C2×D411yescharacteristic
540C2×Dic86C2×D411yescharacteristic
541SD16×C43—22no—
542D8×C43—22no—
543D8×C43—22no—
544C2×C8×C43C2411yescharacteristic
545C2×C8×C43C2411yescharacteristic
546C2×C8×C43C2411yescharacteristic
547C2×C8×C43C2411yescharacteristic
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×C43C2×D411yescharacteristic
555C4⋊C4×C43C2×D411yescharacteristic
556C4⋊C4×C43C2×D411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C42×C43—21no—
571C42×C43C2411yescharacteristic
572C42×C43C2411yescharacteristic
573C42×C43C2411yescharacteristic
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583#10621884—22no—
584#10621882—22no—
585#10621882—22no—
586#10621882—22no—
587(C2×D43)⋊C4—21no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4C2×D411yescharacteristic
603(C2×D43)⋊C4C2×D411yescharacteristic
604(C2×D43)⋊C4C2×D411yescharacteristic
605(C2×D43)⋊C4C2×D411yescharacteristic
606C4⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43C2×D411yescharacteristic
618C4⋊Dic43C2×D411yescharacteristic
619C4⋊Dic43C2×D411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4C2×D411yescharacteristic
642Dic43⋊C4C2×D411yescharacteristic
643Dic43⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43C2×D411yescharacteristic
656C4×Dic43C2×D411yescharacteristic
657C4×Dic43C2411yescharacteristic
658C4×Dic43C2411yescharacteristic
659C4×Dic43C2411yescharacteristic
660C2×C43⋊C8C2411yescharacteristic
661C2×C43⋊C8C2411yescharacteristic
662C2×C43⋊C8C2411yescharacteristic
663C2×C43⋊C8C2411yescharacteristic
664D344—22no—
665C23×C43—21no—
666C23×C43—21no—
667C23×C43—21no—
668C22×D43—21no—
669C22×D43—24no—
670C22×D43—21no—
671C22×D43—81no—
672C22×D43—81no—
673C22×D43C22×D411yescharacteristic
674Q8×C43—21no—
675Q8×C43—21no—
676Q8×C43—41no—
677Q8×C43—81no—
678D4×C43—21no—
679D4×C43—21no—
680D4×C43—21no—
681D4×C43—21no—
682D4×C43—21no—
683D4×C43—42no—
684D4×C43—81no—
685D4×C432−1+412yes—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—21no—
690C2×C4×C43—21no—
691C2×C4×C43—81no—
692C2×C4×C43—81no—
693C2×C4×C43—81no—
694C2×C4×C43—81no—
695C2×C4×C43—81no—
696C2×C4×C43C22×D411yescharacteristic
697C2×C4×C43C22×D411yescharacteristic
698C2×C4×C43C22×D411yescharacteristic
699C2×C4×C43C22×D411yescharacteristic
700C2×C4×C43C22×D411yescharacteristic
701C2×C4×C43C22×D411yescharacteristic
702C2×C4×C43C2511yescharacteristic
703C22⋊D43—24no—
704C22⋊D43—81no—
705C22⋊D43—81no—
706C22⋊D43—81no—
707C22⋊D43—81no—
708C22⋊D43—81no—
709C22⋊D43—81no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—42no—
717C2×Dic43—81no—
718C2×Dic43—81no—
719C2×Dic43—81no—
720C2×Dic43—81no—
721C2×Dic43—81no—
722C2×Dic43—81no—
723C2×Dic43C22×D411yescharacteristic
724C2×Dic43C22×D411yescharacteristic
725C2×Dic43C22×D411yescharacteristic
726C2×Dic43C22×D411yescharacteristic
727C2×Dic43C22×D411yescharacteristic
728C2×Dic43C22×D411yescharacteristic
729C2×Dic43C22×D411yescharacteristic
730D172—21no—
731D172—21no—
732D172—21no—
733D172—81no—
734D1722−1+412yes—
735C4×D43—21no—
736C4×D43—21no—
737C4×D43—41no—
738C4×D43—41no—
739C4×D43—42no—
740C4×D43—42no—
741C4×D43—81no—
742C4×D43—81no—
743C4×D43—81no—
744C4×D43—81no—
745C4×D43—81no—
746C4×D43—81no—
747C4×D43—81no—
748C4×D43—81no—
749Dic86—41no—
750Dic86—41no—
751Dic86—41no—
752Dic86—42no—
753Dic86—42no—
754Dic86—81no—
755Dic86—81no—
756Dic86—81no—
757Dic86—81no—
758Dic86—81no—
759Dic86—81no—
760C8×C43—21no—
761C8×C43—21no—
762C8×C43—21no—
763C8×C43—21no—
764C43⋊C8—21no—
765C43⋊C8—21no—
766C43⋊C8—21no—
767C43⋊C8—21no—
768#61872—431nomaximal, Sylow
769C22×C43—22no—
770C22×C43—41no—
771C22×C43—41no—
772C22×C43—41no—
773C22×C43—41no—
774C22×C43—41no—
775C22×C43—41no—
776C22×C43—41no—
777C22×C43—41no—
778C22×C43C23×D411yescharacteristic
779C2×D43—21no—
780C2×D43—21no—
781C2×D43—21no—
782C2×D43—22no—
783C2×D43—41no—
784C2×D43—41no—
785C2×D43—41no—
786C2×D43—41no—
787C2×D43—41no—
788C2×D43—84no—
789C4×C43—21no—
790C4×C43—21no—
791C4×C43—21no—
792C4×C43—21no—
793C4×C43—21no—
794C4×C43—21no—
795C4×C43—41no—
796C4×C43—41no—
797C4×C43—41no—
798C4×C43—41no—
799C4×C43—41no—
800C4×C43C2×2−1+411yescharacteristic
801C4×C43C2×2−1+411yescharacteristic
802Dic43—21no—
803Dic43—21no—
804Dic43—21no—
805Dic43—21no—
806Dic43—21no—
807Dic43—21no—
808Dic43—21no—
809Dic43—41no—
810Dic43—41no—
811Dic43—41no—
812Dic43—41no—
813Dic43—41no—
814Dic43—41no—
815#3554—431no—
816#3501—431no—
817#3389—431no—
818#3389—431no—
819#3388—431no—
820#3388—431no—
821#3384—431no—
822#3384—431no—
823#3384—431no—
824#3384—431no—
825#3373—431no—
826#3373—431no—
827#3370—431no—
828#3370—431no—
829#3370—431no—
830#3370D4311yescharacteristic, complemented
831#3366—431no—
832#3366—431no—
833#3244—431no—
834#3244—431no—
835#3241—431no—
836#3241—431no—
837#3240—431no—
838#3235—431no—
839#3122—431no—
840#3122—431no—
841#3118—431no—
842#3118—431no—
843#3114—431no—
844#3109—431no—
845#2987—431no—
846C2×C43—42no—
847C2×C43—81no—
848C2×C43—81no—
849C2×C43#348611yescharacteristic
850C2×C43#358511yescharacteristic
851C2×C43#358511yescharacteristic
852D43—41no—
853D43—42no—
854D43—81no—
855#562—861no—
856#562—861no—
857#559—431no—
858#559—431no—
859#559C2×D4311yescharacteristic, complemented
860#557—431no—
861#554—431no—
862#554—431no—
863#554—431no—
864#554—431no—
865#554—431no—
866#554—431no—
867#554—431no—
868#554—861no—
869#554—861no—
870#554—861no—
871#554C2×D4311yescharacteristic
872#550—431no—
873D4×Q8—431no—
874D4×Q8—431no—
875D4×Q8—431no—
876D4×Q8—861no—
877#548—861no—
878#547—861no—
879#544—431no—
880#544—431no—
881#543—861no—
882#543—861no—
883#542—431no—
884#542—431no—
885#542—861no—
886#540—431no—
887#540—431no—
888#539—861no—
889#539—861no—
890#536—861no—
891#533—431no—
892#533—431no—
893#532—431no—
894#529—431no—
895C2×C22⋊Q8—861no—
896C2×C22⋊Q8—861no—
897#518—431no—
898#518—431no—
899C2×C4×D4—431no—
900#501—431no—
901#501—431no—
902#501—431no—
903#501—431no—
904#501—431no—
905#501—431no—
906#501—431no—
907#501—431no—
908#499—431no—
909#499—431no—
910#498—431no—
911#498—431no—
912#490—431no—
913#490—431no—
914#490—431no—
915#490C2×D4311yescharacteristic, complemented
916#489—431no—
917#489—431no—
918#489—431no—
919#489C2×D4311yescharacteristic, complemented
920#488—431no—
921#488C2×D4311yescharacteristic, complemented
922#486—431no—
923#486—431no—
924#485—431no—
925#485—431no—
926#483—431no—
927#482—431no—
928#482—431no—
929#482—431no—
930#482—431no—
931#482—431no—
932#482—431no—
933#481—431no—
934#481—431no—
935#480—431no—
936#479—431no—
937#479—431no—
938#479—431no—
939#479C2×D4311yescharacteristic, complemented
940#478—431no—
941#478—431no—
942#478—431no—
943#478—431no—
944#478—431no—
945#478—431no—
946#478—431no—
947#478—431no—
948#478—431no—
949#478—431no—
950#478—431no—
951#478—431no—
952#478—431no—
953#478C2×D4311yescharacteristic, complemented
954#476—431no—
955#476—431no—
956#476—431no—
957#476—431no—
958#476—431no—
959#476—431no—
960#476—431no—
961#476—431no—
962#476—431no—
963#476—431no—
964#475—431no—
965#475—431no—
966#474—431no—
967#474—431no—
968#474—431no—
969#474—431no—
970#474—431no—
971#474C2×D4311yescharacteristic, complemented
972#463—431no—
973#463—431no—
974#463—431no—
975#463—431no—
976#463C2×D4311yescharacteristic
977#463C2×D4311yescharacteristic
978#459—431no—
979#459—431no—
980#459—431no—
981#459—431no—
982#459—431no—
983#459C2×D4311yescharacteristic
984#450—431no—
985#447—431no—
986#447—431no—
987#447—431no—
988#446—431no—
989#446—431no—
990#446—431no—
991#446—431no—
992#446—431no—
993#446—431no—
994#446—431no—
995#446C2×D4311yescharacteristic, complemented
996#442—431no—
997#442—431no—
998#442—431no—
999#442—431no—
1000#442—431no—
1001#442—431no—
1002#442—431no—
1003#442—431no—
1004#442—431no—
1005#442—431no—
1006#442—431no—
1007#442C2×D4311yescharacteristic
1008#440—431no—
1009#440—431no—
1010#440—431no—
1011#440C2×D4311yescharacteristic
1012C4×SD16—431no—
1013C4×SD16—431no—
1014C4×D8—431no—
1015C4×D8—431no—
1016C4×D8—431no—
1017C4×D8—431no—
1018C4×D8—431no—
1019C4×D8C2×D4311yescharacteristic
1020#433—431no—
1021#433—431no—
1022#433—431no—
1023#433—431no—
1024#432—431no—
1025#432—431no—
1026C43#6187211yescharacteristic, complemented, Sylow
1027C2×#41—861no—
1028C2×#41—861no—
1029C22×Q8—861no—
1030C22×Q8—861no—
1031C22×Q8—861no—
1032C22×D4—431no—
1033C23×C4—861no—
1034C2×SD16—431no—
1035C2×SD16C22×D4311yescharacteristic
1036C2×D8—431no—
1037C2×D8—431no—
1038C2×D8—431no—
1039C2×D8—431no—
1040C2×D8C22×D4311yescharacteristic
1041C2×D8C22×D4311yescharacteristic
1042C4⋊Q8—431no—
1043C4⋊Q8—431no—
1044C4⋊Q8—431no—
1045C4⋊Q8—431no—
1046C4⋊Q8—431no—
1047C4⋊Q8—431no—
1048C4⋊Q8—431no—
1049C4⋊Q8—431no—
1050C4⋊Q8—431no—
1051C4⋊Q8—431no—
1052C4⋊Q8—861no—
1053C4⋊Q8—861no—
1054C4⋊Q8—861no—
1055C4⋊Q8C22×D4311yescharacteristic
1056#127—431no—
1057#127—431no—
1058#127C22×D4311yescharacteristic
1059#126—861no—
1060#126—861no—
1061#126—861no—
1062#125—431no—
1063#125—431no—
1064#125—431no—
1065#125—431no—
1066#125—431no—
1067#125—431no—
1068#125—431no—
1069#125—431no—
1070#125—431no—
1071#125—861no—
1072#125—861no—
1073#125—861no—
1074#125—861no—
1075#125C22×D4311yescharacteristic
1076#125C22×D4311yescharacteristic
1077#124—21no—
1078#124—431no—
1079#124—861no—
1080#124—861no—
1081#124—861no—
1082#124—861no—
1083#124—861no—
1084#124C22×D4311yescharacteristic
1085#124C22×D4311yescharacteristic
1086#123—21no—
1087#123—21no—
1088#123—861no—
1089#123—861no—
1090#123—861no—
1091#123—861no—
1092#123—861no—
1093#123—861no—
1094#123—861no—
1095#123—861no—
1096#123—861no—
1097#123—861no—
1098#123—861no—
1099C22⋊Q8—21no—
1100C22⋊Q8—21no—
1101C22⋊Q8—21no—
1102C22⋊Q8—431no—
1103C22⋊Q8—431no—
1104C22⋊Q8—431no—
1105C22⋊Q8—431no—
1106C22⋊Q8—431no—
1107C22⋊Q8—861no—
1108C22⋊Q8—861no—
1109C22⋊Q8—861no—
1110C22⋊Q8—861no—
1111C22⋊Q8—861no—
1112C22⋊Q8—861no—
1113C22⋊Q8—861no—
1114C22⋊Q8—861no—
1115C22⋊Q8—861no—
1116C22⋊Q8—861no—
1117C22⋊Q8—861no—
1118C22⋊Q8—861no—
1119C22⋊Q8—861no—
1120C22⋊Q8—861no—
1121C22⋊Q8—861no—
1122C22⋊Q8—861no—
1123C22⋊Q8—861no—
1124C22⋊Q8—861no—
1125C22⋊Q8—861no—
1126C22⋊Q8—861no—
1127C22⋊Q8—861no—
1128C22⋊Q8—861no—
1129C22⋊Q8—861no—
1130C22⋊Q8—861no—
1131C22⋊Q8—861no—
1132C22⋊Q8—861no—
1133C22⋊Q8—861no—
1134C22⋊Q8—861no—
1135C22⋊Q8—861no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145#121—431no—
1146#121—431no—
1147#121—431no—
1148#121—861no—
1149#121—861no—
1150#121—861no—
1151#121—861no—
1152#121—861no—
1153#121—861no—
1154#121—861no—
1155#121—861no—
1156C4×Q8—431no—
1157C4×Q8—431no—
1158C4×Q8—431no—
1159C4×Q8—431no—
1160C4×Q8—431no—
1161C4×Q8—861no—
1162C4×Q8—861no—
1163C4×Q8—861no—
1164C4×Q8C22×D4311yescharacteristic
1165C4×Q8C22×D4311yescharacteristic
1166C4×D4—21no—
1167C4×D4—431no—
1168C4×D4—431no—
1169C4×D4—431no—
1170C4×D4—431no—
1171C4×D4—431no—
1172C4×D4—431no—
1173C4×D4—431no—
1174C4×D4—431no—
1175C4×D4—431no—
1176C4×D4—431no—
1177C4×D4—431no—
1178C4×D4—431no—
1179C4×D4—431no—
1180C4×D4—431no—
1181C4×D4—431no—
1182C4×D4—431no—
1183C4×D4—861no—
1184C4×D4—861no—
1185C4×D4—861no—
1186C4×D4—861no—
1187C4×D4—861no—
1188C4×D4—861no—
1189C4×D4—861no—
1190C4×D4—861no—
1191C4×D4—861no—
1192C4×D4—861no—
1193C4×D4C22×D4311yescharacteristic
1194C4×D4C22×D4311yescharacteristic
1195C4×D4C22×D4311yescharacteristic
1196C4×D4C22×D4311yescharacteristic
1197C4×D4C22×D4311yescharacteristic
1198#117—431no—
1199#117—431no—
1200#117—431no—
1201#117—431no—
1202#117—861no—
1203C2×C4⋊C4—21no—
1204C2×C4⋊C4—431no—
1205C2×C4⋊C4—861no—
1206C2×C4⋊C4—861no—
1207C2×C4⋊C4—861no—
1208C2×C4⋊C4—861no—
1209C2×C4⋊C4—861no—
1210C2×C4⋊C4—861no—
1211C2×C4⋊C4—861no—
1212C2×C22⋊C4—861no—
1213C2×C22⋊C4—861no—
1214C2×C22⋊C4—861no—
1215C2×C22⋊C4—861no—
1216C2×C22⋊C4—861no—
1217C2×C42—431no—
1218#107—431no—
1219#107—431no—
1220#107—431no—
1221#107—431no—
1222#107—431no—
1223#107—431no—
1224#107—431no—
1225#107—431no—
1226#107C22×D4311yescharacteristic
1227#107C22×D4311yescharacteristic
1228#106—431no—
1229#106—431no—
1230#106—431no—
1231#106—431no—
1232#106—431no—
1233#106—431no—
1234#106—431no—
1235#106—431no—
1236#106—431no—
1237#106—431no—
1238#106—431no—
1239#106—431no—
1240#106—431no—
1241#106C22×D4311yescharacteristic
1242C4⋊C8—431no—
1243C4⋊C8—431no—
1244C4⋊C8—431no—
1245C4⋊C8—431no—
1246C4⋊C8—431no—
1247C4⋊C8—431no—
1248C4⋊C8—431no—
1249C4⋊C8—431no—
1250C4⋊C8—431no—
1251C4⋊C8C22×D4311yescharacteristic
1252C4⋊C8C22×D4311yescharacteristic
1253C4⋊C8C22×D4311yescharacteristic
1254#103—431no—
1255#103—431no—
1256#103—431no—
1257#103C22×D4311yescharacteristic
1258#103C22×D4311yescharacteristic
1259#103C22×D4311yescharacteristic
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—
1271#102—431no—
1272#102—431no—
1273#102—431no—
1274#102—431no—
1275#102—431no—
1276#102—431no—
1277#102—431no—
1278#102—431no—
1279#102C22×D4311yescharacteristic
1280#102C22×D4311yescharacteristic
1281#102C22×D4311yescharacteristic
1282#102C22×D4311yescharacteristic
1283#102C22×D4311yescharacteristic
1284#102C22×D4311yescharacteristic
1285#102C22×D4311yescharacteristic
1286C22⋊C8—431no—
1287C22⋊C8—431no—
1288C22⋊C8—431no—
1289C22⋊C8—431no—
1290#97—431no—
1291#97—431no—
1292#97—431no—
1293#97—431no—
1294#97—431no—
1295#97—431no—
1296#97C22×D4311yescharacteristic
1297#97C22×D4311yescharacteristic
1298C4×C8—431no—
1299C4×C8—431no—
1300C4×C8—431no—
1301C4×C8C22×D4311yescharacteristic
1302C24—861no—
1303#41—3442no—
1304#41—3442no—
1305C2×Q8—21no—
1306C2×Q8—431no—
1307C2×Q8—431no—
1308C2×Q8—431no—
1309C2×Q8—861no—
1310C2×Q8—861no—
1311C2×Q8—861no—
1312C2×Q8—861no—
1313C2×Q8—861no—
1314C2×Q8—861no—
1315C2×Q8—861no—
1316C2×Q8—861no—
1317C2×Q8—3442no—
1318C2×Q8—3442no—
1319C2×Q8—3442no—
1320C2×Q8D4×D4311yescharacteristic
1321C2×Q8C23×D4311yescharacteristic
1322C2×D4—21no—
1323C2×D4—21no—
1324C2×D4—431no—
1325C2×D4—431no—
1326C2×D4—861no—
1327C2×D4—861no—
1328C2×D4—861no—
1329C2×D4—861no—
1330C2×D4—861no—
1331C2×D4—861no—
1332C2×D4—862no—
1333C2×D4—862no—
1334C2×D4—861no—
1335C2×D4—861no—
1336C2×D4C23×D4311yescharacteristic
1337C2×D4C23×D4311yescharacteristic
1338C2×D4C23×D4311yescharacteristic
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—431no—
1345C22×C4—431no—
1346C22×C4—431no—
1347C22×C4—861no—
1348C22×C4—861no—
1349C22×C4—861no—
1350C22×C4—861no—
1351C22×C4—861no—
1352C22×C4—861no—
1353C22×C4—861no—
1354C22×C4—861no—
1355C22×C4—861no—
1356C22×C4—861no—
1357C22×C4—861no—
1358C22×C4—861no—
1359C22×C4—861no—
1360C22×C4—861no—
1361C22×C4—861no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4—3442no—
1365SD16—22no—
1366SD16—862no—
1367D8—22no—
1368D8—22no—
1369D8—862no—
1370D8—862no—
1371D8—862no—
1372D8—862no—
1373C2×C8—431no—
1374C2×C8—431no—
1375C2×C8—431no—
1376C2×C8—431no—
1377C2×C8C23×D4311yescharacteristic
1378C2×C8C23×D4311yescharacteristic
1379C2×C8C23×D4311yescharacteristic
1380C2×C8C23×D4311yescharacteristic
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—431no—
1388C4⋊C4—431no—
1389C4⋊C4—431no—
1390C4⋊C4—431no—
1391C4⋊C4—431no—
1392C4⋊C4—431no—
1393C4⋊C4—431no—
1394C4⋊C4—431no—
1395C4⋊C4—431no—
1396C4⋊C4—431no—
1397C4⋊C4—431no—
1398C4⋊C4—431no—
1399C4⋊C4—431no—
1400C4⋊C4—431no—
1401C4⋊C4—431no—
1402C4⋊C4—431no—
1403C4⋊C4—431no—
1404C4⋊C4—431no—
1405C4⋊C4—431no—
1406C4⋊C4—861no—
1407C4⋊C4—861no—
1408C4⋊C4—861no—
1409C4⋊C4—861no—
1410C4⋊C4—861no—
1411C4⋊C4—861no—
1412C4⋊C4—861no—
1413C4⋊C4—861no—
1414C4⋊C4—861no—
1415C4⋊C4—861no—
1416C4⋊C4—861no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4D4×D4311yescharacteristic
1433C4⋊C4D4×D4311yescharacteristic
1434C4⋊C4D4×D4311yescharacteristic
1435C4⋊C4C23×D4311yescharacteristic
1436C4⋊C4C23×D4311yescharacteristic
1437C4⋊C4C23×D4311yescharacteristic
1438C4⋊C4C23×D4311yescharacteristic
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—431no—
1449C22⋊C4—431no—
1450C22⋊C4—431no—
1451C22⋊C4—431no—
1452C22⋊C4—861no—
1453C22⋊C4—861no—
1454C22⋊C4—861no—
1455C22⋊C4—861no—
1456C22⋊C4—861no—
1457C22⋊C4—861no—
1458C22⋊C4—861no—
1459C22⋊C4—861no—
1460C22⋊C4—861no—
1461C22⋊C4—861no—
1462C22⋊C4—861no—
1463C22⋊C4—861no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C42—21no—
1477C42—431no—
1478C42—431no—
1479C42—431no—
1480C42—431no—
1481C42—431no—
1482C42—861no—
1483C42—861no—
1484C42—861no—
1485C42—861no—
1486C42C23×D4311yescharacteristic
1487C42C23×D4311yescharacteristic
1488C42C23×D4311yescharacteristic
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—431no—
1493C23—864no—
1494C23—861no—
1495C23—861no—
1496C23—3441no—
1497C23—3441no—
1498Q8—21no—
1499Q8—21no—
1500Q8—41no—
1501Q8—81no—
1502Q8—3441no—
1503Q8—3441no—
1504Q8—3441no—
1505Q8—3441no—
1506Q8—3441no—
1507Q8—3441no—
1508Q8—1721no—
1509Q8—1721no—
1510Q8—1721no—
1511Q8—1722no—
1512Q8—1722no—
1513D4—21no—
1514D4—21no—
1515D4—21no—
1516D4—21no—
1517D4—21no—
1518D4—42no—
1519D4—81no—
1520D4—432no—
1521D4—864no—
1522D4—861no—
1523D4—861no—
1524D4—861no—
1525D4—3441no—
1526D4—3441no—
1527D4—3441no—
1528D4—3441no—
1529D4—3441no—
1530D4—3441no—
1531D4—3441no—
1532D4#1306337212yes—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—81no—
1539C2×C4—81no—
1540C2×C4—81no—
1541C2×C4—81no—
1542C2×C4—81no—
1543C2×C4—431no—
1544C2×C4—431no—
1545C2×C4—431no—
1546C2×C4—431no—
1547C2×C4—431no—
1548C2×C4—431no—
1549C2×C4—431no—
1550C2×C4—861no—
1551C2×C4—861no—
1552C2×C4—861no—
1553C2×C4—861no—
1554C2×C4—861no—
1555C2×C4—861no—
1556C2×C4—861no—
1557C2×C4—861no—
1558C2×C4—3441no—
1559C2×C4—3441no—
1560C2×C4—3441no—
1561C2×C4—3441no—
1562C2×C4—3441no—
1563C2×C4—3441no—
1564C2×C4—3441no—
1565C2×C4—3441no—
1566C2×C4—3441no—
1567C2×C4—3441no—
1568C2×C4—3441no—
1569C2×C4—3441no—
1570C2×C4—3441no—
1571C2×C4—3441no—
1572C2×C4—1721no—
1573C2×C4—1721no—
1574C2×C4—1722no—
1575C2×C4—1722no—
1576C2×C4—1722no—
1577C2×C4C2×D4×D4311yescharacteristic
1578C2×C4C2×D4×D4311yescharacteristic
1579C2×C4C2×D4×D4311yescharacteristic
1580C2×C4C2×D4×D4311yescharacteristic
1581C2×C4C2×D4×D4311yescharacteristic
1582C2×C4C2×D4×D4311yescharacteristic
1583C2×C4C24×D4311yescharacteristic
1584C8—21no—
1585C8—21no—
1586C8—21no—
1587C8—21no—
1588C8—861no—
1589C8—861no—
1590C8—861no—
1591C8—861no—
1592C22—22no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—861no—
1602C22—861no—
1603C22—861no—
1604C22—862no—
1605C22—3444no—
1606C22—1721no—
1607C22—1721no—
1608C22—1721no—
1609C22—1721no—
1610C22—1721no—
1611C22C22×D4×D4311yescharacteristic
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—21no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—861no—
1624C4—861no—
1625C4—861no—
1626C4—861no—
1627C4—861no—
1628C4—861no—
1629C4—861no—
1630C4—1721no—
1631C4—1721no—
1632C4—1721no—
1633C4—1721no—
1634C4—1721no—
1635C4—1721no—
1636C42−1+4×D4311yescharacteristic
1637C4C2×#1306337211yescharacteristic
1638C2—42no—
1639C2—81no—
1640C2—81no—
1641C2—3441no—
1642C2—1721no—
1643C2—1722no—
1644C2#1914824111yescharacteristic
1645C2#1914937011yescharacteristic
1646C2#1914937211yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3370C2
socleC22×C43C23×D4
hypercenter#3370D43
hypocenterC43#61872
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3370

Complements

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

NH ≅ G/Ntype
1. #19149054C2semidirect
2. #19148394C2semidirect
3. #19147554C2semidirect
4. #19147552C2semidirect
5. #19147543C2semidirect
6. #19147541C2semidirect
7. #19147498C2semidirect
8. #19147496C2semidirect
9. #19147494C2semidirect
10. #19147492C2semidirect
11. #19147384C2semidirect
12. #19147382C2semidirect
13. #19147354C2semidirect
14. #19147352C2semidirect
15. #19147342C2semidirect
16. #19147299C2semidirect
17. #19147297C2semidirect
18. #19145888C2semidirect
19. #19145886C2semidirect
20. #19145855C2semidirect
21. #19145853C2semidirect
22. #19145840C2semidirect
23. #19145788C2semidirect
24. #19144837C2semidirect
25. #19144835C2semidirect
26. #19144778C2semidirect
27. #19144776C2semidirect
28. #19144737C2semidirect
29. #19144685C2semidirect
30. #19143698C2semidirect
31. C43×#3370C2semidirect
34. #14583631C22semidirect
35. #14583631C22semidirect
36. #14583628C22semidirect
40. #14583606C22semidirect
41. #14583606C22semidirect
47. #14583569C22semidirect
48. Q8×D172C22semidirect
75. #14583309C22semidirect
76. #14583309C22semidirect
77. #14583308C22semidirect
78. #14583308C22semidirect
79. #14583307C22semidirect
80. #14583307C22semidirect
81. #14583307C22semidirect
82. #14583306C22semidirect
83. #14583300C22semidirect
84. #14583299C22semidirect
85. #14583297C22semidirect
86. #14583295C22semidirect
87. #14583263C22semidirect
88. #14583262C22semidirect
89. #14583262C22semidirect
90. #14583260C22semidirect
91. #14583260C22semidirect
92. #14583258C22semidirect
93. #14583253C22semidirect
94. #14583244C22semidirect
95. #14583244C22semidirect
108. #14583208C22semidirect
109. #14583206C22semidirect
110. #14583204C22semidirect
115. #14583201C22semidirect
116. #14583200C22semidirect
117. #14583200C22semidirect
118. #14583199C22semidirect
121. #14583197C22semidirect
122. #14583196C22semidirect
123. #14583196C22semidirect
126. #14583190C22semidirect
129. #14583187C22semidirect
130. #14583187C22semidirect
131. #14583187C22semidirect
132. #14583187C22semidirect
133. #14583186C22semidirect
134. #14583182C22semidirect
135. #14583182C22semidirect
138. #14583179C22semidirect
139. #14583177C22semidirect
140. #14583177C22semidirect
154. #14583030C22semidirect
155. #14583029C22semidirect
156. #14583028C22semidirect
157. #14583028C22semidirect
158. #14583027C22semidirect
159. #14583027C22semidirect
160. #14583026C22semidirect
188. C43×#559C22semidirect
190. C43×#490C22semidirect
191. C43×#489C22semidirect
192. C43×#488C22semidirect
193. C43×#479C22semidirect
194. C43×#478C22semidirect
195. C43×#474C22semidirect
199. C43×#446C22semidirect
830. #3370D43semidirect
859. #559C2×D43semidirect
915. #490C2×D43semidirect
919. #489C2×D43semidirect
921. #488C2×D43semidirect
939. #479C2×D43semidirect
953. #478C2×D43semidirect
971. #474C2×D43semidirect
995. #446C2×D43semidirect
1026. C43#61872semidirect

Maximal subgroups

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

subgroupindex
#191490542
#191483942
#191475542
#191475522
#191475432
#191475412
#191474982
#191474962
#191474942
#191474922
#191473842
#191473822
#191473542
#191473522
#191473422
#191472992
#191472972
#191458882
#191458862
#191458552
#191458532
#191458402
#191457882
#191448372
#191448352
#191447782
#191447762
#191447372
#191446852
#191436982
C43×#33702
#6187243