Finite Group Databasebeta

← #25969210

Subgroups — #25969210

Order 11008.

1682 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148487C211yesmaximal, characteristic
2#19148410C211yesmaximal, characteristic, complemented
3#19145895C211yesmaximal, characteristic, complemented
4#19145893C211yesmaximal, characteristic, complemented
5#19145888C211yesmaximal, characteristic, complemented
6#19145886C211yesmaximal, characteristic, complemented
7#19145881C211yesmaximal, characteristic, complemented
8#19145879C211yesmaximal, characteristic, complemented
9#19145872C211yesmaximal, characteristic, complemented
10#19145840C211yesmaximal, characteristic, complemented
11#19145839C211yesmaximal, characteristic, complemented
12#19145834C211yesmaximal, characteristic, complemented
13#19145833C211yesmaximal, characteristic, complemented
14#19145828C211yesmaximal, characteristic, complemented
15#19145824C211yesmaximal, characteristic, complemented
16#19145820C211yesmaximal, characteristic, complemented
17#19145814C211yesmaximal, characteristic, complemented
18#19145138C211yesmaximal, characteristic, complemented
19#19145116C211yesmaximal, characteristic, complemented
20#19144978C211yesmaximal, characteristic, complemented
21#489×D43C211yesmaximal, characteristic, complemented
22#19144563C211yesmaximal, characteristic, complemented
23#19144561C211yesmaximal, characteristic, complemented
24#19144548C211yesmaximal, characteristic
25#19144546C211yesmaximal, characteristic
26#19144434C211yesmaximal, characteristic, complemented
27#19144432C211yesmaximal, characteristic, complemented
28#19144425C211yesmaximal, characteristic, complemented
29#19144419C211yesmaximal, characteristic, complemented
30#19143243C211yesmaximal, characteristic, complemented
31C43×#3243C211yesmaximal, characteristic, complemented
32#14583633—21no—
33#14583631—21no—
34#14583629—21no—
35#14583626—21no—
36#14583620—21no—
37#14583616—21no—
38#14583605—21no—
39#14583603—21no—
40#14583603—21no—
41#14583579—21no—
42#14583576—21no—
43#14583574—21no—
44#14583572—21no—
45#14583564—21no—
46#14583562—21no—
47#14583562—21no—
48#14583529C2211yescharacteristic
49#14583529C2211yescharacteristic, complemented
50#14583527C2211yescharacteristic, complemented
51#14583526C2211yescharacteristic
52#14583526C2211yescharacteristic, complemented
53#14583523C2211yescharacteristic
54#14583520C2211yescharacteristic
55#14583518C2211yescharacteristic
56#14583472C2211yescharacteristic
57#14583465C2211yescharacteristic
58#14583455C2211yescharacteristic
59#14583455C2211yescharacteristic, complemented
60#14583454C2211yescharacteristic
61#14583452C2211yescharacteristic, complemented
62C2×#13063324C2211yescharacteristic, complemented
63C4⋊Q8×D43C2211yescharacteristic
64C4⋊Q8×D43C2211yescharacteristic, complemented
65#14583436C2211yescharacteristic
66#14583435C2211yescharacteristic
67#14583431C2211yescharacteristic
68#14583430C2211yescharacteristic
69#124×D43C2211yescharacteristic
70#14583380C2211yescharacteristic
71#14583379C2211yescharacteristic
72#14583375C2211yescharacteristic
73#14583371C2211yescharacteristic
74#14583367C2211yescharacteristic
75#14583309C2211yescharacteristic, complemented
76#14583308C2211yescharacteristic, complemented
77#14583307C2211yescharacteristic, complemented
78#14583307C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583307C2211yescharacteristic, complemented
81#14583307C2211yescharacteristic, complemented
82#14583307C2211yescharacteristic, complemented
83#14583306C2211yescharacteristic, complemented
84#14583306C2211yescharacteristic, complemented
85#14583305C2211yescharacteristic, complemented
86#14583302C2211yescharacteristic, complemented
87#14583297C2211yescharacteristic, complemented
88#14583295C2211yescharacteristic, complemented
89#14583261C2211yescharacteristic
90#14583260C2211yescharacteristic
91#14583260C2211yescharacteristic
92#14583260C2211yescharacteristic
93#14583260C2211yescharacteristic
94#14583259C2211yescharacteristic
95#14583258C2211yescharacteristic
96#14583257C2211yescharacteristic
97#14583257C2211yescharacteristic
98#14583257C2211yescharacteristic
99#14583257C2211yescharacteristic
100#14583256C2211yescharacteristic
101#14583254C2211yescharacteristic
102#14583253C2211yescharacteristic
103#14583243C2211yescharacteristic, complemented
104#14583242C2211yescharacteristic, complemented
105#14583241C2211yescharacteristic, complemented
106#14583240C2211yescharacteristic, complemented
107#14583239C2211yescharacteristic, complemented
108#14583238C2211yescharacteristic, complemented
109#14583237C2211yescharacteristic, complemented
110#14583236C2211yescharacteristic, complemented
111#14583236C2211yescharacteristic, complemented
112#14583232C2211yescharacteristic, complemented
113#14583230C2211yescharacteristic, complemented
114#14583229C2211yescharacteristic, complemented
115#14583228C2211yescharacteristic, complemented
116#14583228C2211yescharacteristic, complemented
117#14583226C2211yescharacteristic
118#14583225C2211yescharacteristic
119#14583224C2211yescharacteristic
120#14583223C2211yescharacteristic
121#14583222C2211yescharacteristic
122#14583221C2211yescharacteristic
123#14583220C2211yescharacteristic
124#14583218C2211yescharacteristic
125#14583217C2211yescharacteristic
126#14583216C2211yescharacteristic
127#14583216C2211yescharacteristic
128#14583214C2211yescharacteristic
129#14583214C2211yescharacteristic
130#14583210C2211yescharacteristic
131#14583209C2211yescharacteristic, complemented
132#14583208C2211yescharacteristic, complemented
133#14583207C2211yescharacteristic, complemented
134#14583206C2211yescharacteristic, complemented
135#14583205C2211yescharacteristic, complemented
136#14583204C2211yescharacteristic, complemented
137#14583203C2211yescharacteristic, complemented
138#14583202C2211yescharacteristic
139#14583201C2211yescharacteristic
140#14583200C2211yescharacteristic
141#14583199C2211yescharacteristic
142#14583198C2211yescharacteristic
143#14583197C2211yescharacteristic
144#14583196C2211yescharacteristic
145#14583194C2211yescharacteristic, complemented
146#14583193C2211yescharacteristic, complemented
147#14583193C2211yescharacteristic, complemented
148#14583190C2211yescharacteristic
149#14583187C2211yescharacteristic
150#14583187C2211yescharacteristic
151#14583186C2211yescharacteristic
152#14583185C2211yescharacteristic, complemented
153#14583182C2211yescharacteristic, complemented
154#14583182C2211yescharacteristic, complemented
155#14583181C2211yescharacteristic, complemented
156#14583179C2211yescharacteristic
157#14583178C2211yescharacteristic
158#14583178C2211yescharacteristic
159#14582961C2211yescharacteristic, complemented
160#14582960C2211yescharacteristic, complemented
161#14582958C2211yescharacteristic, complemented
162#14582955C2211yescharacteristic, complemented
163#14582955C2211yescharacteristic, complemented
164#14582953C2211yescharacteristic, complemented
165#14582953C2211yescharacteristic, complemented
166#14582940C2211yescharacteristic
167#14582940C2211yescharacteristic
168#14582940C2211yescharacteristic
169#14582940C2211yescharacteristic
170#14582936C2211yescharacteristic
171#14582936C2211yescharacteristic
172#14582934C2211yescharacteristic
173#14582934C2211yescharacteristic
174#14582924C2211yescharacteristic
175#14582924C2211yescharacteristic
176#14582906C2211yescharacteristic
177#14582906C2211yescharacteristic
178#14582902C2211yescharacteristic
179#14582902C2211yescharacteristic
180#103×D43C2211yescharacteristic
181#103×D43C2211yescharacteristic
182#102×D43C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186C4×#10621872C2211yescharacteristic
187#97×D43C2211yescharacteristic
188C43×#544C2211yescharacteristic, complemented
189C43×#542C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#500C2211yescharacteristic, complemented
192C43×#489C2211yescharacteristic
193C43×#488C2211yescharacteristic
194C43×#485C2211yescharacteristic, complemented
195C43×#484C2211yescharacteristic, complemented
196C43×#482C2211yescharacteristic
197C43×#480C2211yescharacteristic
198C43×#479C2211yescharacteristic, complemented
199C43×#478C2211yescharacteristic
200C43×#477C2211yescharacteristic, complemented
201C43×#474C2211yescharacteristic
202C43×#433C2211yescharacteristic, complemented
203C2×#10621898C2311yescharacteristic
204C22×Dic86—21no—
205C2×Q8×D43—21no—
206C2×Q8×D43—21no—
207C2×Q8×D43C2311yescharacteristic
208C2×D4×D43C2311yescharacteristic
209C2×#10621872C2311yescharacteristic
210C2×#10621872C2311yescharacteristic
211C2×C8×D43C2311yescharacteristic
212C2×C8×D43C2311yescharacteristic
213#13063325C2311yescharacteristic
214#13063325C2311yescharacteristic
215#13063325C2311yescharacteristic
216#13063324—21no—
217#13063324—21no—
218#13063324—21no—
219#13063324—21no—
220#13063324—21no—
221#13063324—21no—
222#13063324—21no—
223#13063324—21no—
224#13063324C2311yescharacteristic
225#13063324C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063324C2311yescharacteristic
228#13063324C2311yescharacteristic
229#13063324C2311yescharacteristic
230#13063323—21no—
231#13063323—21no—
232#13063323—21no—
233#13063323—21no—
234#13063321—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063317C2311yescharacteristic
243#13063317C2311yescharacteristic
244#13063316—21no—
245#13063316C2311yescharacteristic
246#13063316C2311yescharacteristic
247#13063316C2311yescharacteristic
248#13063316C2311yescharacteristic
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063314—21no—
254#13063314C2311yescharacteristic
255#13063313C2311yescharacteristic
256#13063312C2311yescharacteristic
257#13063311—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063310—21no—
264#13063310—21no—
265#13063310—21no—
266#13063309—21no—
267#13063309—21no—
268#13063307—21no—
269#13063307—21no—
270#13063307—21no—
271#13063306—21no—
272#13063305—21no—
273#13063305—21no—
274#13063305—21no—
275#13063305C2311yescharacteristic
276#13063304C2311yescharacteristic
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#13063302—21no—
287#13063302—21no—
288#13063302—21no—
289#13063302—21no—
290#13063302—21no—
291#13063301—21no—
292#13063301—21no—
293#13063301—21no—
294#13063301—21no—
295#13063301C2311yescharacteristic
296#13063300C2311yescharacteristic
297#13063299C2311yescharacteristic
298#13063296C2311yescharacteristic
299#13063295—21no—
300#13063293—21no—
301Q8×Dic43—21no—
302Q8×Dic43C2311yescharacteristic
303C4×Dic86—21no—
304C4×Dic86—21no—
305C4×Dic86—21no—
306C4×Dic86—21no—
307C4×Dic86C2311yescharacteristic
308#13063290—21no—
309#13063290—21no—
310#13063290—21no—
311#13063290—21no—
312#13063290—21no—
313#13063290—21no—
314#13063290—21no—
315#13063290D411yescharacteristic
316#13063290D411yescharacteristic
317#13063290C2311yescharacteristic
318C4×D172—21no—
319C4×D172—21no—
320C4×D172C2311yescharacteristic
321D4×Dic43—21no—
322D4×Dic43C2311yescharacteristic
323#13063287—21no—
324#13063287D411yescharacteristic
325#13063287D411yescharacteristic
326#13063287C2311yescharacteristic
327C4×C22⋊D43—21no—
328C4×C22⋊D43—21no—
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#13063284—21no—
340#13063284C2311yescharacteristic
341#13063283—21no—
342#13063283—21no—
343#13063283C2311yescharacteristic
344#13063283C2311yescharacteristic
345#13063283C2311yescharacteristic
346#13063283C2311yescharacteristic
347#13063283C2311yescharacteristic
348#13063283C2311yescharacteristic
349#13063282—21no—
350#13063282—21no—
351#13063282C2311yescharacteristic
352#13063282C2311yescharacteristic
353#13063281—21no—
354C2×C4⋊Dic43C2311yescharacteristic
355C2×Dic43⋊C4—21no—
356C4⋊C4×D43—21no—
357C4⋊C4×D43—21no—
358C4⋊C4×D43C2311yescharacteristic
359C4⋊C4×D43C2311yescharacteristic
360C4⋊C4×D43C2311yescharacteristic
361C4⋊C4×D43C2311yescharacteristic
362C2×(C2×D43)⋊C4—21no—
363C22⋊C4×D43—21no—
364C22⋊C4×D43—21no—
365C22⋊C4×D43—21no—
366C2×C4×Dic43C2311yescharacteristic
367C42×D43C2311yescharacteristic
368C42×D43C2311yescharacteristic
369#13063259C2311yescharacteristic
370#13063259C2311yescharacteristic
371#13063258C2311yescharacteristic
372#13063258C2311yescharacteristic
373#13063258C2311yescharacteristic
374#13063258C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063257C2311yescharacteristic
380#13063257C2311yescharacteristic
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#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
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#125×C43—21no—
441#125×C43C2311yescharacteristic
442#125×C43C2311yescharacteristic
443#124×C43—21no—
444#124×C43C2311yescharacteristic
445#123×C43—21no—
446C22⋊Q8×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×D4×C43C2311yescharacteristic
453#117×C43C2311yescharacteristic
454#117×C43C2311yescharacteristic
455C2×C4⋊C4×C43C2311yescharacteristic
456#107×C43C2311yescharacteristic
457#107×C43C2311yescharacteristic
458#107×C43C2311yescharacteristic
459#107×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#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C2×Q8×C43—21no—
480C2×Q8×C43—21no—
481C2×Q8×C43—21no—
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43C2411yescharacteristic
485C22×C4×C43—21no—
486C22×C4×C43—21no—
487C22×C4×C43C2411yescharacteristic
488C2×C22⋊D43—21no—
489C2×C22⋊D43—21no—
490C2×C22⋊D43—21no—
491C2×C22⋊D43C2×D411yescharacteristic
492C2×C22⋊D43C2×D411yescharacteristic
493C22×Dic43—21no—
494C22×Dic43—21no—
495C22×Dic43C2×D411yescharacteristic
496C22×Dic43C2×D411yescharacteristic
497Q8×D43—22no—
498Q8×D43—22no—
499Q8×D43—82no—
500Q8×D43—82no—
501D4×D43—22no—
502D4×D43—22no—
503#10621898—22no—
504#10621898—22no—
505C2×D172—21no—
506C2×D172C2×D411yescharacteristic
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×D43C2×D411yescharacteristic
516C2×C4×D43C2×D411yescharacteristic
517C2×C4×D43C2×D411yescharacteristic
518C2×C4×D43C2×D411yescharacteristic
519C2×C4×D43C2411yescharacteristic
520C2×C4×D43C2411yescharacteristic
521C2×Dic86—21no—
522C2×Dic86—21no—
523C2×Dic86—21no—
524C2×Dic86—21no—
525C2×Dic86—21no—
526C2×Dic86—21no—
527C2×Dic86—21no—
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—82no—
532C2×Dic86C2×D411yescharacteristic
533C2×Dic86C2411yescharacteristic
534C2×C8×C43C2411yescharacteristic
535C2×C8×C43C2411yescharacteristic
536C2×C8×C43C2411yescharacteristic
537C2×C8×C43C2411yescharacteristic
538C4⋊C4×C43—21no—
539C4⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
549C4⋊C4×C43C2×D411yescharacteristic
550C4⋊C4×C43C2411yescharacteristic
551C4⋊C4×C43C2411yescharacteristic
552C4⋊C4×C43C2411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C22⋊C4×C43—21no—
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43C2×D411yescharacteristic
563C22⋊C4×C43C2×D411yescharacteristic
564C42×C43—21no—
565C42×C43—21no—
566C42×C43C2411yescharacteristic
567C42×C43C2411yescharacteristic
568C22⋊Dic43—21no—
569C22⋊Dic43—21no—
570C22⋊Dic43—21no—
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
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)⋊C4C2×D411yescharacteristic
591(C2×D43)⋊C4C2×D411yescharacteristic
592(C2×D43)⋊C4C2×D411yescharacteristic
593(C2×D43)⋊C4C2×D411yescharacteristic
594C4⋊Dic43—21no—
595C4⋊Dic43—21no—
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⋊Dic43C2411yescharacteristic
605C4⋊Dic43C2411yescharacteristic
606C4⋊Dic43C2411yescharacteristic
607C4⋊Dic43C2411yescharacteristic
608C4⋊Dic43C2411yescharacteristic
609C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4C2×D411yescharacteristic
633Dic43⋊C4C2×D411yescharacteristic
634Dic43⋊C4C2×D411yescharacteristic
635Dic43⋊C4C2×D411yescharacteristic
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×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×C43—21no—
663C23×C43C22×D411yescharacteristic
664C22×D43—21no—
665C22×D43—42no—
666C22×D43—81no—
667C22×D43—81no—
668C22×D43C22×D411yescharacteristic
669C22×D43C22×D411yescharacteristic
670Q8×C43—21no—
671Q8×C43—21no—
672Q8×C43—81no—
673Q8×C43—81no—
674Q8×C43—81no—
675D4×C43—21no—
676D4×C43—21no—
677D4×C43—81no—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—81no—
688C2×C4×C43—81no—
689C2×C4×C43C22×D411yescharacteristic
690C2×C4×C43C22×D411yescharacteristic
691C2×C4×C43C22×D411yescharacteristic
692C2×C4×C43C22×D411yescharacteristic
693C2×C4×C43C22×D411yescharacteristic
694C2×C4×C43C2511yescharacteristic
695C22⋊D43—22no—
696C22⋊D43—22no—
697C22⋊D43—42no—
698C22⋊D43—81no—
699C22⋊D43—81no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—41no—
708C2×Dic43—41no—
709C2×Dic43—81no—
710C2×Dic43—81no—
711C2×Dic43C22×D411yescharacteristic
712C2×Dic43C22×D411yescharacteristic
713C2×Dic43C22×D411yescharacteristic
714C2×Dic43C22×D411yescharacteristic
715C2×Dic43C22×D411yescharacteristic
716C2×Dic43C22×D411yescharacteristic
717D172—22no—
718D172—21no—
719D172—21no—
720D172—81no—
721C4×D43—21no—
722C4×D43—21no—
723C4×D43—41no—
724C4×D43—41no—
725C4×D43—41no—
726C4×D43—41no—
727C4×D43—42no—
728C4×D43—81no—
729C4×D43—81no—
730C4×D43—81no—
731C4×D43—81no—
732C4×D43—81no—
733C4×D43—81no—
734C4×D432−1+412yes—
735C4×D432−1+412yes—
736Dic86—22no—
737Dic86—21no—
738Dic86—21no—
739Dic86—42no—
740Dic86—42no—
741Dic86—42no—
742Dic86—42no—
743Dic86—42no—
744Dic86—81no—
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#60885—431nomaximal, Sylow
758C22×C43—21no—
759C22×C43—21no—
760C22×C43—21no—
761C22×C43—41no—
762C22×C43—41no—
763C22×C43—41no—
764C22×C43C23×D411yescharacteristic
765C2×D43—21no—
766C2×D43—21no—
767C2×D43—21no—
768C2×D43—21no—
769C2×D43—21no—
770C2×D43—41no—
771C2×D43—41no—
772C2×D43—41no—
773C2×D43—162no—
774C2×D43#53612yes—
775C4×C43—21no—
776C4×C43—21no—
777C4×C43—21no—
778C4×C43—21no—
779C4×C43—21no—
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—41no—
801Dic43#53612yes—
802#3510—431no—
803#3503—431no—
804#3244—431no—
805#3244—431no—
806#3244—431no—
807#3244—431no—
808#3243—431no—
809#3243—431no—
810#3243—431no—
811#3243D4311yescharacteristic, complemented
812#3240—431no—
813#3240—431no—
814#3240—431no—
815#3240—431no—
816#3239—431no—
817#3239—431no—
818#3238—431no—
819#3238—431no—
820#3165—431no—
821#3162—431no—
822#3140—431no—
823C2×#489—431no—
824#3097—431no—
825#3097—431no—
826#3096—431no—
827#3096—431no—
828#3082—431no—
829#3082—431no—
830#3081—431no—
831#3081—431no—
832#2923—431no—
833C2×C43—41no—
834C2×C43—81no—
835C2×C43C2×#53611yescharacteristic
836C2×C43#358511yescharacteristic
837C2×C43#358611yescharacteristic
838D43—22no—
839D43—41no—
840D43—81no—
841#559—861no—
842#559—861no—
843Q82—861no—
844#557—861no—
845#556—861no—
846#556—861no—
847#554—861no—
848#554—861no—
849#554—861no—
850#551—861no—
851#551—861no—
852#551—861no—
853#551—861no—
854D4×Q8—861no—
855D4×Q8—861no—
856D4×Q8—861no—
857#544—431no—
858#544—431no—
859#544—431no—
860#544—431no—
861#544—431no—
862#544C2×D4311yescharacteristic, complemented
863#542—431no—
864#542—431no—
865#542—431no—
866#542C2×D4311yescharacteristic
867#536—431no—
868#535—431no—
869#533—431no—
870#533—431no—
871#533—431no—
872#533—431no—
873C2×C4⋊Q8—431no—
874C2×C4⋊Q8—431no—
875C2×C4⋊Q8—431no—
876#529—431no—
877#529—431no—
878#529—431no—
879#529—431no—
880C2×#124—431no—
881#520—431no—
882#520—431no—
883#519—431no—
884#518—431no—
885C4×#41—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#501—431no—
897#501C2×D4311yescharacteristic, complemented
898#500—431no—
899#500C2×D4311yescharacteristic, complemented
900#498—431no—
901#498—431no—
902#489—431no—
903#489—431no—
904#489—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#489C2×D4311yescharacteristic
914#488—431no—
915#488—431no—
916#488—431no—
917#488C2×D4311yescharacteristic
918#485—431no—
919#485—431no—
920#485—431no—
921#485—431no—
922#485—431no—
923#485—431no—
924#485—431no—
925#485C2×D4311yescharacteristic, complemented
926#484—431no—
927#484—431no—
928#484—431no—
929#484C2×D4311yescharacteristic, complemented
930#483—431no—
931#483—431no—
932#483—431no—
933#483—431no—
934#482—431no—
935#482—431no—
936#482—431no—
937#482—431no—
938#482—431no—
939#482—431no—
940#482—431no—
941#482C2×D4311yescharacteristic
942#481—431no—
943#481—431no—
944#481—431no—
945#481—431no—
946#480—431no—
947#480—431no—
948#480—431no—
949#480C2×D4311yescharacteristic
950#479—431no—
951#479—431no—
952#479—431no—
953#479—431no—
954#479—431no—
955#479—431no—
956#479—431no—
957#479C2×D4311yescharacteristic, complemented
958#478—431no—
959#478—431no—
960#478—431no—
961#478—431no—
962#478—431no—
963#478—431no—
964#478—431no—
965#478C2×D4311yescharacteristic
966#477—431no—
967#477—431no—
968#477—431no—
969#477C2×D4311yescharacteristic, complemented
970#476—431no—
971#476—431no—
972#476—431no—
973#476—431no—
974#475—431no—
975#475—431no—
976#475—431no—
977#475—431no—
978#474—431no—
979#474—431no—
980#474—431no—
981#474C2×D4311yescharacteristic
982#433—431no—
983#433—431no—
984#433—431no—
985#433C2×D4311yescharacteristic, complemented
986#432—431no—
987#432—431no—
988#432—431no—
989#432—431no—
990#428—431no—
991#428—431no—
992#428—431no—
993#428—431no—
994#427—431no—
995#427—431no—
996#427—431no—
997#427—431no—
998#424—431no—
999#424—431no—
1000#419—431no—
1001#419—431no—
1002#418—431no—
1003#418—431no—
1004C2×#103—431no—
1005C2×#103—431no—
1006C2×#102—431no—
1007C2×#102—431no—
1008#408—431no—
1009#408—431no—
1010C4×M16—431no—
1011C2×#97—431no—
1012C43#6088511yescharacteristic, complemented, Sylow
1013C2×#41—431no—
1014C22×Q8—431no—
1015C22×Q8—861no—
1016C22×Q8—861no—
1017C22×Q8—861no—
1018C22×D4—431no—
1019C2×M16—431no—
1020C2×M16—431no—
1021C22×C8—431no—
1022C22×C8—431no—
1023C4⋊Q8—21no—
1024C4⋊Q8—431no—
1025C4⋊Q8—431no—
1026C4⋊Q8—431no—
1027C4⋊Q8—431no—
1028C4⋊Q8—431no—
1029C4⋊Q8—431no—
1030C4⋊Q8—431no—
1031C4⋊Q8—431no—
1032C4⋊Q8—431no—
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⋊Q8—861no—
1043C4⋊Q8—861no—
1044C4⋊Q8—861no—
1045C4⋊Q8C22×D4311yescharacteristic
1046C4⋊Q8C22×D4311yescharacteristic
1047C4⋊Q8C22×D4311yescharacteristic
1048#127—861no—
1049#126—21no—
1050#126—861no—
1051#126—861no—
1052#126—861no—
1053#126—861no—
1054#126—861no—
1055#126—861no—
1056#126—861no—
1057#125—21no—
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#125C22×D4311yescharacteristic
1070#125C22×D4311yescharacteristic
1071#124—21no—
1072#124—431no—
1073#124—431no—
1074#124—431no—
1075#124—861no—
1076#124—861no—
1077#124—861no—
1078#124—861no—
1079#124—861no—
1080#124—861no—
1081#124—861no—
1082#124C22×D4311yescharacteristic
1083#123—21no—
1084#123—861no—
1085#123—861no—
1086#123—861no—
1087#123—861no—
1088#123—861no—
1089#123—861no—
1090#123—861no—
1091#123—861no—
1092#123—861no—
1093C22⋊Q8—21no—
1094C22⋊Q8—21no—
1095C22⋊Q8—21no—
1096C22⋊Q8—431no—
1097C22⋊Q8—431no—
1098C22⋊Q8—431no—
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⋊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⋊Q8C22×D4311yescharacteristic
1121#121—431no—
1122#121—431no—
1123#121—431no—
1124#121C22×D4311yescharacteristic
1125#120—861no—
1126#120—861no—
1127C4×Q8—431no—
1128C4×Q8—431no—
1129C4×Q8—431no—
1130C4×Q8—431no—
1131C4×Q8—431no—
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×Q8—861no—
1144C4×Q8C22×D4311yescharacteristic
1145C4×D4—431no—
1146C4×D4—431no—
1147C4×D4—431no—
1148C4×D4—431no—
1149C4×D4—431no—
1150C4×D4—431no—
1151C4×D4—431no—
1152C4×D4—431no—
1153C4×D4—431no—
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—
1166C4×D4C22×D4311yescharacteristic
1167#117—431no—
1168#117—431no—
1169#117—431no—
1170#117—431no—
1171#117—431no—
1172#117—431no—
1173#117—431no—
1174#117—431no—
1175#117—431no—
1176#117—861no—
1177#117—861no—
1178#117—861no—
1179#117—861no—
1180#117—861no—
1181#117—861no—
1182#117C22×D4311yescharacteristic
1183#117C22×D4311yescharacteristic
1184C2×C4⋊C4—431no—
1185C2×C4⋊C4—431no—
1186C2×C4⋊C4—431no—
1187C2×C4⋊C4—431no—
1188C2×C4⋊C4—431no—
1189C2×C4⋊C4—861no—
1190C2×C4⋊C4—861no—
1191C2×C4⋊C4—861no—
1192C2×C4⋊C4C22×D4311yescharacteristic
1193C2×C22⋊C4—861no—
1194C2×C22⋊C4—861no—
1195C2×C22⋊C4—861no—
1196C2×C22⋊C4—861no—
1197C2×C42—431no—
1198C2×C42—431no—
1199C2×C42—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#107C22×D4311yescharacteristic
1211#107C22×D4311yescharacteristic
1212#107C22×D4311yescharacteristic
1213#107C22×D4311yescharacteristic
1214#107C22×D4311yescharacteristic
1215#107C22×D4311yescharacteristic
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#106—431no—
1228#106—431no—
1229#106—431no—
1230#106C22×D4311yescharacteristic
1231#106C22×D4311yescharacteristic
1232C4⋊C8—431no—
1233C4⋊C8—431no—
1234C4⋊C8—431no—
1235C4⋊C8—431no—
1236C4⋊C8—431no—
1237C4⋊C8—431no—
1238C4⋊C8C22×D4311yescharacteristic
1239C4⋊C8C22×D4311yescharacteristic
1240#103—431no—
1241#103—431no—
1242#103—431no—
1243#103—431no—
1244#103—431no—
1245#103—431no—
1246#103—431no—
1247#103—431no—
1248#103—431no—
1249#103—431no—
1250#103—431no—
1251#103—431no—
1252#103C22×D4311yescharacteristic
1253#103C22×D4311yescharacteristic
1254#103C22×D4311yescharacteristic
1255#103C22×D4311yescharacteristic
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#102C22×D4311yescharacteristic
1269#102C22×D4311yescharacteristic
1270#102C22×D4311yescharacteristic
1271#102C22×D4311yescharacteristic
1272C22⋊C8—431no—
1273C22⋊C8—431no—
1274C22⋊C8—431no—
1275C22⋊C8—431no—
1276C22⋊C8—431no—
1277C22⋊C8—431no—
1278C22⋊C8C22×D4311yescharacteristic
1279C22⋊C8C22×D4311yescharacteristic
1280#97—431no—
1281#97—431no—
1282#97—431no—
1283#97—431no—
1284#97—431no—
1285#97C22×D4311yescharacteristic
1286C4×C8—431no—
1287C4×C8C22×D4311yescharacteristic
1288C24—861no—
1289#41—862no—
1290#41—862no—
1291C2×Q8—21no—
1292C2×Q8—21no—
1293C2×Q8—21no—
1294C2×Q8—431no—
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—862no—
1304C2×Q8—862no—
1305C2×Q8—861no—
1306C2×Q8—861no—
1307C2×Q8—861no—
1308C2×Q8—3442no—
1309C2×Q8—3442no—
1310C2×Q8—3442no—
1311C2×Q8C23×D4311yescharacteristic
1312C2×D4—21no—
1313C2×D4—431no—
1314C2×D4—431no—
1315C2×D4—431no—
1316C2×D4—431no—
1317C2×D4—861no—
1318C2×D4—862no—
1319C2×D4—862no—
1320C2×D4—861no—
1321C2×D4—861no—
1322C2×D4—861no—
1323C2×D4C23×D4311yescharacteristic
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—431no—
1327C22×C4—431no—
1328C22×C4—431no—
1329C22×C4—431no—
1330C22×C4—431no—
1331C22×C4—431no—
1332C22×C4—431no—
1333C22×C4—431no—
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×C4C23×D4311yescharacteristic
1344M16—862no—
1345M16—862no—
1346C2×C8—431no—
1347C2×C8—431no—
1348C2×C8—431no—
1349C2×C8—431no—
1350C2×C8—862no—
1351C2×C8—862no—
1352C2×C8C23×D4311yescharacteristic
1353C2×C8C23×D4311yescharacteristic
1354C2×C8C23×D4311yescharacteristic
1355C2×C8C23×D4311yescharacteristic
1356C4⋊C4—21no—
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—431no—
1367C4⋊C4—431no—
1368C4⋊C4—431no—
1369C4⋊C4—431no—
1370C4⋊C4—431no—
1371C4⋊C4—431no—
1372C4⋊C4—431no—
1373C4⋊C4—431no—
1374C4⋊C4—431no—
1375C4⋊C4—431no—
1376C4⋊C4—861no—
1377C4⋊C4—861no—
1378C4⋊C4—861no—
1379C4⋊C4—861no—
1380C4⋊C4—861no—
1381C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1409C4⋊C4D4×D4311yescharacteristic
1410C4⋊C4C23×D4311yescharacteristic
1411C4⋊C4C23×D4311yescharacteristic
1412C4⋊C4C23×D4311yescharacteristic
1413C4⋊C4C23×D4311yescharacteristic
1414C4⋊C4C23×D4311yescharacteristic
1415C4⋊C4C23×D4311yescharacteristic
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—21no—
1419C22⋊C4—21no—
1420C22⋊C4—21no—
1421C22⋊C4—21no—
1422C22⋊C4—431no—
1423C22⋊C4—431no—
1424C22⋊C4—431no—
1425C22⋊C4—431no—
1426C22⋊C4—861no—
1427C22⋊C4—861no—
1428C22⋊C4—861no—
1429C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1449C22⋊C4D4×D4311yescharacteristic
1450C42—21no—
1451C42—21no—
1452C42—431no—
1453C42—431no—
1454C42—431no—
1455C42—431no—
1456C42—431no—
1457C42—431no—
1458C42—431no—
1459C42—431no—
1460C42—861no—
1461C42—861no—
1462C42—861no—
1463C42—861no—
1464C42—861no—
1465C42—861no—
1466C42—861no—
1467C42—861no—
1468C42—861no—
1469C42—861no—
1470C42C23×D4311yescharacteristic
1471C42C23×D4311yescharacteristic
1472C23—21no—
1473C23—431no—
1474C23—431no—
1475C23—861no—
1476C23—3441no—
1477C23—3441no—
1478C23—1722no—
1479C23C2×D4×D4311yescharacteristic
1480Q8—21no—
1481Q8—21no—
1482Q8—81no—
1483Q8—81no—
1484Q8—81no—
1485Q8—862no—
1486Q8—861no—
1487Q8—861no—
1488Q8—3441no—
1489Q8—3441no—
1490Q8—3441no—
1491Q8—3441no—
1492Q8—3441no—
1493Q8—1722no—
1494Q8—1722no—
1495Q8—1722no—
1496Q8—1722no—
1497Q8—1722no—
1498D4—21no—
1499D4—21no—
1500D4—81no—
1501D4—862no—
1502D4—862no—
1503D4—862no—
1504D4—861no—
1505D4—861no—
1506D4—3441no—
1507D4—3441no—
1508D4—3441no—
1509D4—1722no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—81no—
1520C2×C4—81no—
1521C2×C4—431no—
1522C2×C4—432no—
1523C2×C4—432no—
1524C2×C4—431no—
1525C2×C4—431no—
1526C2×C4—431no—
1527C2×C4—431no—
1528C2×C4—431no—
1529C2×C4—861no—
1530C2×C4—861no—
1531C2×C4—861no—
1532C2×C4—861no—
1533C2×C4—861no—
1534C2×C4—861no—
1535C2×C4—861no—
1536C2×C4—861no—
1537C2×C4—861no—
1538C2×C4—3441no—
1539C2×C4—3441no—
1540C2×C4—3441no—
1541C2×C4—3441no—
1542C2×C4—3441no—
1543C2×C4—3441no—
1544C2×C4—3441no—
1545C2×C4—3441no—
1546C2×C4—1721no—
1547C2×C4—1721no—
1548C2×C4—1721no—
1549C2×C4—1721no—
1550C2×C4—1722no—
1551C2×C4—1721no—
1552C2×C4—1721no—
1553C2×C4C2×D4×D4311yescharacteristic
1554C2×C4C2×D4×D4311yescharacteristic
1555C2×C4C2×D4×D4311yescharacteristic
1556C2×C4C2×D4×D4311yescharacteristic
1557C2×C4C2×D4×D4311yescharacteristic
1558C2×C4C24×D4311yescharacteristic
1559C8—21no—
1560C8—21no—
1561C8—21no—
1562C8—21no—
1563C8—861no—
1564C8—861no—
1565C8—861no—
1566C8—861no—
1567C22—21no—
1568C22—21no—
1569C22—21no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—432no—
1574C22—861no—
1575C22—861no—
1576C22—861no—
1577C22—861no—
1578C22—861no—
1579C22—1721no—
1580C22—1721no—
1581C22—1721no—
1582C22—6882no—
1583C22C22×D4×D4311yescharacteristic
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—21no—
1588C4—21no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—432no—
1597C4—861no—
1598C4—861no—
1599C4—861no—
1600C4—861no—
1601C4—861no—
1602C4—1721no—
1603C4—1721no—
1604C4—1721no—
1605C4—1721no—
1606C4—1721no—
1607C4—1721no—
1608C4—1721no—
1609C42−1+4×D4311yescharacteristic
1610C42−1+4×D4311yescharacteristic
1611C2—41no—
1612C2—81no—
1613C2—862no—
1614C2—3441no—
1615C2—1721no—
1616C2#536×D4311yescharacteristic
1617C2#1914937011yescharacteristic
1618C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3243C2
socleC22×C43C23×D4
prime radical#14583465C22
hypercenter#3243D43
hypocenterC43#60885
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3243

Complements

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

NH ≅ G/Ntype
2. #19148410C2semidirect
3. #19145895C2semidirect
4. #19145893C2semidirect
5. #19145888C2semidirect
6. #19145886C2semidirect
7. #19145881C2semidirect
8. #19145879C2semidirect
9. #19145872C2semidirect
10. #19145840C2semidirect
11. #19145839C2semidirect
12. #19145834C2semidirect
13. #19145833C2semidirect
14. #19145828C2semidirect
15. #19145824C2semidirect
16. #19145820C2semidirect
17. #19145814C2semidirect
18. #19145138C2semidirect
19. #19145116C2semidirect
20. #19144978C2semidirect
21. #489×D43C2semidirect
22. #19144563C2semidirect
23. #19144561C2semidirect
26. #19144434C2semidirect
27. #19144432C2semidirect
28. #19144425C2semidirect
29. #19144419C2semidirect
30. #19143243C2semidirect
31. C43×#3243C2semidirect
49. #14583529C22semidirect
50. #14583527C22semidirect
52. #14583526C22semidirect
59. #14583455C22semidirect
61. #14583452C22semidirect
62. C2×#13063324C22semidirect
64. C4⋊Q8×D43C22semidirect
75. #14583309C22semidirect
76. #14583308C22semidirect
77. #14583307C22semidirect
78. #14583307C22semidirect
79. #14583307C22semidirect
80. #14583307C22semidirect
81. #14583307C22semidirect
82. #14583307C22semidirect
83. #14583306C22semidirect
84. #14583306C22semidirect
85. #14583305C22semidirect
86. #14583302C22semidirect
87. #14583297C22semidirect
88. #14583295C22semidirect
103. #14583243C22semidirect
104. #14583242C22semidirect
105. #14583241C22semidirect
106. #14583240C22semidirect
107. #14583239C22semidirect
108. #14583238C22semidirect
109. #14583237C22semidirect
110. #14583236C22semidirect
111. #14583236C22semidirect
112. #14583232C22semidirect
113. #14583230C22semidirect
114. #14583229C22semidirect
115. #14583228C22semidirect
116. #14583228C22semidirect
131. #14583209C22semidirect
132. #14583208C22semidirect
133. #14583207C22semidirect
134. #14583206C22semidirect
135. #14583205C22semidirect
136. #14583204C22semidirect
137. #14583203C22semidirect
145. #14583194C22semidirect
146. #14583193C22semidirect
147. #14583193C22semidirect
152. #14583185C22semidirect
153. #14583182C22semidirect
154. #14583182C22semidirect
155. #14583181C22semidirect
159. #14582961C22semidirect
160. #14582960C22semidirect
161. #14582958C22semidirect
162. #14582955C22semidirect
163. #14582955C22semidirect
164. #14582953C22semidirect
165. #14582953C22semidirect
188. C43×#544C22semidirect
190. C43×#501C22semidirect
191. C43×#500C22semidirect
194. C43×#485C22semidirect
195. C43×#484C22semidirect
198. C43×#479C22semidirect
200. C43×#477C22semidirect
202. C43×#433C22semidirect
811. #3243D43semidirect
862. #544C2×D43semidirect
897. #501C2×D43semidirect
899. #500C2×D43semidirect
925. #485C2×D43semidirect
929. #484C2×D43semidirect
957. #479C2×D43semidirect
969. #477C2×D43semidirect
985. #433C2×D43semidirect
1012. C43#60885semidirect

Maximal subgroups

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

subgroupindex
#191484872
#191484102
#191458952
#191458932
#191458882
#191458862
#191458812
#191458792
#191458722
#191458402
#191458392
#191458342
#191458332
#191458282
#191458242
#191458202
#191458142
#191451382
#191451162
#191449782
#489×D432
#191445632
#191445612
#191445482
#191445462
#191444342
#191444322
#191444252
#191444192
#191432432
C43×#32432
#6088543