Finite Group Databasebeta

← #25987274

Subgroups — #25987274

Order 11008.

1730 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#19149064C211yesmaximal, characteristic, complemented
2#19148397C211yesmaximal, characteristic, complemented
3#19147550C211yesmaximal, characteristic, complemented
4#19147548C211yesmaximal, characteristic, complemented
5#19147519C211yesmaximal, characteristic, complemented
6#19147491C211yesmaximal, characteristic, complemented
7#19147473C211yesmaximal, characteristic, complemented
8#19147464C211yesmaximal, characteristic, complemented
9#19147457C211yesmaximal, characteristic, complemented
10#19147447C211yesmaximal, characteristic, complemented
11#19147384C211yesmaximal, characteristic, complemented
12#19147351C211yesmaximal, characteristic, complemented
13#19147347C211yesmaximal, characteristic, complemented
14#19147305C211yesmaximal, characteristic, complemented
15#19147254C211yesmaximal, characteristic, complemented
16#19147252C211yesmaximal, characteristic, complemented
17#19147252C211yesmaximal, characteristic, complemented
18#19147229C211yesmaximal, characteristic, complemented
19#19145882C211yesmaximal, characteristic, complemented
20#19145848C211yesmaximal, characteristic, complemented
21#19145844C211yesmaximal, characteristic, complemented
22#19145777C211yesmaximal, characteristic, complemented
23#19145729C211yesmaximal, characteristic, complemented
24#19144839C211yesmaximal, characteristic, complemented
25#19144834C211yesmaximal, characteristic, complemented
26#19144782C211yesmaximal, characteristic, complemented
27#19144773C211yesmaximal, characteristic, complemented
28#19144645C211yesmaximal, characteristic, complemented
29#19144592C211yesmaximal, characteristic, complemented
30#19143694C211yesmaximal, characteristic, complemented
31C43×#3243C211yesmaximal, characteristic, complemented
32#14583646—21no—
33#14583643—21no—
34#14583634C2211yescharacteristic, complemented
35#14583631C2211yescharacteristic, complemented
36#14583631C2211yescharacteristic, complemented
37#14583625C2211yescharacteristic, complemented
38#14583610—21no—
39#14583610C2211yescharacteristic
40#14583610C2211yescharacteristic
41#14583610C2211yescharacteristic, complemented
42#14583608C2211yescharacteristic, complemented
43#14583605—21no—
44#14583605—21no—
45#14583605C2211yescharacteristic
46#14583605C2211yescharacteristic
47#14583605C2211yescharacteristic
48#14583605C2211yescharacteristic
49#14583570C2211yescharacteristic, complemented
50#14583564—21no—
51#14583564C2211yescharacteristic
52#14583564C2211yescharacteristic
53#14583564C2211yescharacteristic, complemented
54#14583557—21no—
55#14583547—21no—
56#14583530C2211yescharacteristic
57#14583524—21no—
58#14583524—21no—
59#14583522C2211yescharacteristic
60#14583515—21no—
61#14583504C2211yescharacteristic
62#14583502C2211yescharacteristic
63#14583498—21no—
64#14583490—21no—
65#14583472—21no—
66#14583452C2211yescharacteristic
67#14583452C2211yescharacteristic
68#14583444C2211yescharacteristic
69#14583435C2211yescharacteristic
70C22⋊Q8×D43—21no—
71C22⋊Q8×D43—21no—
72#14583373C2211yescharacteristic
73#14583373C2211yescharacteristic
74C2×#13063287C2211yescharacteristic
75#14583307C2211yescharacteristic, complemented
76#14583307C2211yescharacteristic, complemented
77#14583305C2211yescharacteristic, complemented
78#14583303C2211yescharacteristic, complemented
79#14583303C2211yescharacteristic, complemented
80#14583300C2211yescharacteristic, complemented
81#14583300C2211yescharacteristic, complemented
82#14583299C2211yescharacteristic, complemented
83#14583298C2211yescharacteristic, complemented
84#14583296C2211yescharacteristic, complemented
85#14583265C2211yescharacteristic, complemented
86#14583262C2211yescharacteristic, complemented
87#14583260C2211yescharacteristic, complemented
88#14583255C2211yescharacteristic, complemented
89#14583255C2211yescharacteristic, complemented
90#14583255C2211yescharacteristic, complemented
91#14583247C2211yescharacteristic, complemented
92#14583244C2211yescharacteristic, complemented
93#14583244C2211yescharacteristic, complemented
94#14583244C2211yescharacteristic, complemented
95#14583237C2211yescharacteristic
96#14583224C2211yescharacteristic
97#14583224C2211yescharacteristic
98#14583223C2211yescharacteristic
99#14583223C2211yescharacteristic
100#14583220C2211yescharacteristic
101#14583217C2211yescharacteristic
102#14583212C2211yescharacteristic
103#14583204C2211yescharacteristic, complemented
104#14583202C2211yescharacteristic
105#14583202C2211yescharacteristic
106#14583202C2211yescharacteristic
107#14583202C2211yescharacteristic, complemented
108#14583202C2211yescharacteristic, complemented
109#14583202C2211yescharacteristic, complemented
110#14583201C2211yescharacteristic, complemented
111#14583200C2211yescharacteristic
112#14583200C2211yescharacteristic
113#14583198C2211yescharacteristic
114#14583198C2211yescharacteristic, complemented
115#14583197C2211yescharacteristic, complemented
116#14583197C2211yescharacteristic, complemented
117#14583196C2211yescharacteristic, complemented
118#14583196C2211yescharacteristic, complemented
119#14583192C2211yescharacteristic, complemented
120#14583192C2211yescharacteristic, complemented
121#14583188C2211yescharacteristic
122#14583188C2211yescharacteristic, complemented
123#14583187C2211yescharacteristic, complemented
124#14583186C2211yescharacteristic
125#14583186C2211yescharacteristic, complemented
126#14583182C2211yescharacteristic, complemented
127#14583178C2211yescharacteristic
128#14583178C2211yescharacteristic
129#14583178C2211yescharacteristic
130#14583178C2211yescharacteristic, complemented
131#14583178C2211yescharacteristic, complemented
132#14583178C2211yescharacteristic, complemented
133#14583176C2211yescharacteristic
134#14583176C2211yescharacteristic, complemented
135#14583117C2211yescharacteristic
136#14583117C2211yescharacteristic
137#14583117C2211yescharacteristic
138#14583117C2211yescharacteristic
139#14583111C2211yescharacteristic
140#14583111C2211yescharacteristic
141#14583095C2211yescharacteristic
142#14583095C2211yescharacteristic
143#14583093C2211yescharacteristic
144#14583093C2211yescharacteristic
145#14583093C2211yescharacteristic
146#14583093C2211yescharacteristic
147#14583049C2211yescharacteristic
148#14583035C2211yescharacteristic
149#14583035C2211yescharacteristic
150#14583032C2211yescharacteristic
151#14583028C2211yescharacteristic, complemented
152#14583028C2211yescharacteristic, complemented
153#14583027C2211yescharacteristic, complemented
154#14583027C2211yescharacteristic, complemented
155C8×Dic86C2211yescharacteristic, complemented
156C8×Dic86C2211yescharacteristic, complemented
157#14583023C2211yescharacteristic, complemented
158#14583023C2211yescharacteristic, complemented
159#14583012C2211yescharacteristic
160#14583012C2211yescharacteristic
161#14583010C2211yescharacteristic
162#14583010C2211yescharacteristic
163#14583009C2211yescharacteristic
164#14583008C2211yescharacteristic
165#14583002C2211yescharacteristic
166#14582997C2211yescharacteristic
167C4×#10621884C2211yescharacteristic
168#14582984C2211yescharacteristic
169#14582984C2211yescharacteristic
170#14582984C2211yescharacteristic
171C4×D344C2211yescharacteristic
172C4×D344C2211yescharacteristic
173#14582981C2211yescharacteristic
174#14582981C2211yescharacteristic
175#14582981C2211yescharacteristic
176#14582981C2211yescharacteristic
177#14582981C2211yescharacteristic
178#14582981C2211yescharacteristic
179C4×#10621882C2211yescharacteristic
180#14582979C2211yescharacteristic
181#14582979C2211yescharacteristic
182#14582979C2211yescharacteristic
183#14582960C2211yescharacteristic
184#14582957C2211yescharacteristic
185#14582957C2211yescharacteristic
186#14582949C2211yescharacteristic
187#14582949C2211yescharacteristic
188C43×#544C2211yescharacteristic
189C43×#542C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#500C2211yescharacteristic, complemented
192C43×#489C2211yescharacteristic, complemented
193C43×#488C2211yescharacteristic, complemented
194C43×#485C2211yescharacteristic
195C43×#484C2211yescharacteristic
196C43×#482C2211yescharacteristic
197C43×#480C2211yescharacteristic
198C43×#479C2211yescharacteristic, complemented
199C43×#478C2211yescharacteristic, complemented
200C43×#477C2211yescharacteristic, complemented
201C43×#474C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic
203C2×#10621898—21no—
204C2×#10621900—21no—
205C2×Q8×D43—21no—
206C2×Q8×D43—21no—
207C2×Q8×D43—21no—
208C22×D172C2311yescharacteristic
209C22×C4×D43—21no—
210C2×#10621884C2311yescharacteristic
211C2×#10621884C2311yescharacteristic
212C2×D344C2311yescharacteristic
213C2×D344C2311yescharacteristic
214C2×D344C2311yescharacteristic
215C2×D344C2311yescharacteristic
216C2×#10621882C2311yescharacteristic
217C2×#10621882C2311yescharacteristic
218#13063324—21no—
219#13063324—21no—
220#13063324D411yescharacteristic
221#13063324D411yescharacteristic
222#13063324C2311yescharacteristic
223#13063324C2311yescharacteristic
224#13063324C2311yescharacteristic
225#13063324C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063324C2311yescharacteristic
228#13063322C2311yescharacteristic
229#13063321C2311yescharacteristic
230#13063321C2311yescharacteristic
231#13063320—21no—
232#13063320—21no—
233#13063317—21no—
234#13063317C2311yescharacteristic
235#13063316—21no—
236#13063316—21no—
237#13063316D411yescharacteristic
238#13063316D411yescharacteristic
239#13063316C2311yescharacteristic
240#13063316C2311yescharacteristic
241#13063316C2311yescharacteristic
242#13063316C2311yescharacteristic
243#13063316C2311yescharacteristic
244#13063316C2311yescharacteristic
245#13063314C2311yescharacteristic
246#13063314C2311yescharacteristic
247#13063313—21no—
248#13063311—21no—
249#13063311—21no—
250#13063311—21no—
251#13063311—21no—
252#13063310—21no—
253#13063310—21no—
254#13063310—21no—
255#13063310—21no—
256#13063309—21no—
257#13063309—21no—
258#13063309—21no—
259#13063309—21no—
260#13063307—21no—
261#13063307—21no—
262#13063307—21no—
263#13063307—21no—
264#13063305—21no—
265#13063305—21no—
266#13063305—21no—
267#13063305—21no—
268#13063305—21no—
269#13063305—21no—
270#13063305—21no—
271#13063305—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#13063303—21no—
288#13063303—21no—
289#13063302—21no—
290#13063302—21no—
291#13063302—21no—
292#13063302—21no—
293#13063302D411yescharacteristic
294#13063302D411yescharacteristic
295#13063302D411yescharacteristic
296#13063302D411yescharacteristic
297#13063301—21no—
298#13063301—21no—
299#13063301—21no—
300#13063301—21no—
301#13063301—21no—
302#13063301—21no—
303#13063301—21no—
304#13063301—21no—
305#13063301—21no—
306#13063299—21no—
307#13063299C2311yescharacteristic
308#13063299C2311yescharacteristic
309#13063298—21no—
310#13063298—21no—
311#13063298—21no—
312#13063298—21no—
313#13063297—21no—
314#13063297—21no—
315#13063296—21no—
316Q8×Dic43C2311yescharacteristic
317Q8×Dic43C2311yescharacteristic
318C4×Dic86—21no—
319C4×Dic86—21no—
320C4×Dic86—21no—
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325C4×D172—21no—
326C4×D172—21no—
327C4×D172—21no—
328C4×D172C2311yescharacteristic
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332C4×D172C2311yescharacteristic
333C4×D172C2311yescharacteristic
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336#13063287—21no—
337#13063287—21no—
338#13063287—21no—
339#13063287—21no—
340#13063287C2311yescharacteristic
341#13063287C2311yescharacteristic
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351#13063287C2311yescharacteristic
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356#13063284C2311yescharacteristic
357#13063284C2311yescharacteristic
358#13063283—21no—
359C2×Dic43⋊C4—21no—
360C4⋊C4×D43—21no—
361C4⋊C4×D43—21no—
362C4⋊C4×D43—21no—
363C4⋊C4×D43—21no—
364C4⋊C4×D43—21no—
365C4⋊C4×D43—21no—
366C4⋊C4×D43—21no—
367C2×(C2×D43)⋊C4—21no—
368C22⋊C4×D43—21no—
369C22⋊C4×D43—21no—
370C22⋊C4×D43—21no—
371C22⋊C4×D43—21no—
372C2×C4×Dic43C2311yescharacteristic
373#13063259C2311yescharacteristic
374#13063259C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063256C2311yescharacteristic
384#13063256C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389C4⋊(C43⋊C8)C2311yescharacteristic
390C4⋊(C43⋊C8)C2311yescharacteristic
391Dic43⋊C8C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063249C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063247C2311yescharacteristic
402#13063247C2311yescharacteristic
403#13063247C2311yescharacteristic
404#13063247C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063246C2311yescharacteristic
410#13063246C2311yescharacteristic
411#13063245C2311yescharacteristic
412#13063245C2311yescharacteristic
413#13063245C2311yescharacteristic
414#13063245C2311yescharacteristic
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#13063236C2311yescharacteristic
426#13063235C2311yescharacteristic
427#13063235C2311yescharacteristic
428C4×C43⋊C8C2311yescharacteristic
429C8×Dic43C2311yescharacteristic
430C8×Dic43C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
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⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C22×Dic43—21no—
495C22×Dic43—21no—
496C22×Dic43C2×D411yescharacteristic
497C22×Dic43C2×D411yescharacteristic
498Q8×D43—82no—
499Q8×D43—82no—
500Q8×D43—82no—
501#10621900—82no—
502#10621898—82no—
503C2×D172—21no—
504C2×D172—22no—
505C2×D172—22no—
506C2×D172—21no—
507C2×D172—21no—
508C2×D172C2411yescharacteristic
509C2×D172C2411yescharacteristic
510C2×D172C2411yescharacteristic
511C2×D172C2411yescharacteristic
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×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—82no—
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86—21no—
537C2×Dic86C2×D411yescharacteristic
538C2×Dic86C2×D411yescharacteristic
539C2×Dic86C2×D411yescharacteristic
540C2×Dic86C2×D411yescharacteristic
541C2×C8×C43C2411yescharacteristic
542C2×C8×C43C2411yescharacteristic
543C2×C8×C43C2411yescharacteristic
544C2×C8×C43C2411yescharacteristic
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×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43C2×D411yescharacteristic
570C22⋊C4×C43C2×D411yescharacteristic
571C42×C43—21no—
572C42×C43—21no—
573C42×C43C2411yescharacteristic
574C42×C43C2411yescharacteristic
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43C2×D411yescharacteristic
579C22⋊Dic43C2×D411yescharacteristic
580#10621884—22no—
581#10621884—22no—
582#10621882—22no—
583#10621882—22no—
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)⋊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)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—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⋊Dic43C2×D411yescharacteristic
617C4⋊Dic43C2×D411yescharacteristic
618C4⋊Dic43C2×D411yescharacteristic
619C4⋊Dic43C2×D411yescharacteristic
620C4⋊Dic43C2×D411yescharacteristic
621C4⋊Dic43C2×D411yescharacteristic
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⋊C4C2×D411yescharacteristic
641Dic43⋊C4C2×D411yescharacteristic
642Dic43⋊C4C2×D411yescharacteristic
643Dic43⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43C2×D411yescharacteristic
652C4×Dic43C2×D411yescharacteristic
653C4×Dic43C2411yescharacteristic
654C4×Dic43C2411yescharacteristic
655C4×Dic43C2411yescharacteristic
656C4×Dic43C2411yescharacteristic
657C2×C43⋊C8C2411yescharacteristic
658C2×C43⋊C8C2411yescharacteristic
659C2×C43⋊C8C2411yescharacteristic
660C2×C43⋊C8C2411yescharacteristic
661D344—22no—
662D344—22no—
663D344—22no—
664D344—22no—
665C23×C43—21no—
666C23×C43C22×D411yescharacteristic
667C22×D43—21no—
668C22×D43—21no—
669C22×D43—24no—
670C22×D43—21no—
671C22×D43—21no—
672C22×D43—81no—
673C22×D43—81no—
674Q8×C43—21no—
675Q8×C43—21no—
676Q8×C43—81no—
677Q8×C43—81no—
678Q8×C43—81no—
679D4×C43—21no—
680D4×C43—21no—
681D4×C43—81no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
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×C43C22×D411yescharacteristic
694C2×C4×C43C22×D411yescharacteristic
695C2×C4×C43C22×D411yescharacteristic
696C2×C4×C43C22×D411yescharacteristic
697C2×C4×C43C22×D411yescharacteristic
698C2×C4×C43C2511yescharacteristic
699C22⋊D43—42no—
700C22⋊D43—81no—
701C22⋊D43—81no—
702C22⋊D43—81no—
703C22⋊D43—81no—
704C22⋊D43—81no—
705C2×Dic43—22no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—41no—
711C2×Dic43—81no—
712C2×Dic43—81no—
713C2×Dic43C22×D411yescharacteristic
714C2×Dic43C22×D411yescharacteristic
715C2×Dic43C22×D411yescharacteristic
716C2×Dic43C22×D411yescharacteristic
717C2×Dic43C22×D411yescharacteristic
718C2×Dic43C22×D411yescharacteristic
719C2×Dic43C22×D411yescharacteristic
720C2×Dic43C22×D411yescharacteristic
721D172—24no—
722D172—21no—
723D172—21no—
724D172—21no—
725D172—21no—
726D172—21no—
727D172—21no—
728D172—81no—
729D172—81no—
730D1722−1+412yes—
731D1722−1+412yes—
732C4×D43—42no—
733C4×D43—42no—
734C4×D43—42no—
735C4×D43—81no—
736C4×D43—81no—
737C4×D43—81no—
738C4×D43—81no—
739C4×D43—81no—
740C4×D43—81no—
741C4×D43—81no—
742C4×D43—81no—
743C4×D43—81no—
744C4×D43—81no—
745C4×D43—81no—
746C4×D43—81no—
747C4×D43—81no—
748C4×D43—81no—
749C4×D43—81no—
750Dic86—22no—
751Dic86—22no—
752Dic86—41no—
753Dic86—41no—
754Dic86—42no—
755Dic86—42no—
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#61863—431nomaximal, Sylow
769C22×C43—21no—
770C22×C43—21no—
771C22×C43—21no—
772C22×C43—41no—
773C22×C43—41no—
774C22×C43—41no—
775C22×C43C23×D411yescharacteristic
776C2×D43—22no—
777C2×D43—22no—
778C2×D43—41no—
779C2×D43—41no—
780C2×D43—41no—
781C2×D43—41no—
782C2×D43—41no—
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—41no—
795C4×C43—41no—
796C4×C43—41no—
797C4×C43—41no—
798C4×C43—41no—
799C4×C43—41no—
800C4×C43—41no—
801C4×C43C2×2−1+411yescharacteristic
802C4×C43C2×2−1+411yescharacteristic
803Dic43—21no—
804Dic43—21no—
805Dic43—21no—
806Dic43—21no—
807Dic43—21no—
808Dic43—21no—
809Dic43—21no—
810Dic43—41no—
811Dic43—41no—
812Dic43—41no—
813Dic43—41no—
814Dic43#57612yes—
815#3554—431no—
816#3501—431no—
817#3389—431no—
818#3389—431no—
819#3386—431no—
820#3384—431no—
821#3381—431no—
822#3380—431no—
823#3380—431no—
824Q8×D8—431no—
825#3373—431no—
826#3370—431no—
827#3370—431no—
828#3366—431no—
829#3361—431no—
830#3361—431no—
831#3361—431no—
832#3358—431no—
833#3243—431no—
834#3243D4311yescharacteristic, complemented
835#3241—431no—
836#3241—431no—
837#3233—431no—
838#3228—431no—
839#3122—431no—
840#3122—431no—
841#3118—431no—
842#3118—431no—
843#3105—431no—
844#3100—431no—
845#2986—431no—
846C2×C43—41no—
847C2×C43—81no—
848C2×C43#348611yescharacteristic
849C2×C43C2×#57611yescharacteristic
850C2×C43#358411yescharacteristic
851D43—42no—
852D43—42no—
853D43—81no—
854D43—81no—
855#562—861no—
856#562—861no—
857#559—431no—
858#559—431no—
859#559—431no—
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—431no—
869#554—861no—
870#554—861no—
871#554—861no—
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#544C2×D4311yescharacteristic
881#543—861no—
882#543—861no—
883#542—431no—
884#542—861no—
885#542C2×D4311yescharacteristic
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#501C2×D4311yescharacteristic, complemented
904#500—431no—
905#500—431no—
906#500C2×D4311yescharacteristic, complemented
907#499—431no—
908#499—431no—
909#499—431no—
910#499—431no—
911#498—431no—
912#490—431no—
913#490—431no—
914#489—431no—
915#489C2×D4311yescharacteristic, complemented
916#488—431no—
917#488—431no—
918#488—431no—
919#488C2×D4311yescharacteristic, complemented
920#486—431no—
921#486—431no—
922#486—431no—
923#486—431no—
924#485—431no—
925#485C2×D4311yescharacteristic
926#484C2×D4311yescharacteristic
927#482—431no—
928#482—431no—
929#482—431no—
930#482—431no—
931#482—431no—
932#482C2×D4311yescharacteristic
933#481—431no—
934#480—431no—
935#480C2×D4311yescharacteristic
936#479—431no—
937#479C2×D4311yescharacteristic, complemented
938#478—431no—
939#478—431no—
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#477—431no—
955#477—431no—
956#477C2×D4311yescharacteristic, complemented
957#476—431no—
958#476—431no—
959#476—431no—
960#476—431no—
961#476—431no—
962#475—431no—
963#474—431no—
964#474—431no—
965#474—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#463—431no—
977#463—431no—
978#459—431no—
979#459—431no—
980#459—431no—
981#459—431no—
982#459—431no—
983#459—431no—
984#450—431no—
985#447—431no—
986#447—431no—
987#447—431no—
988#446—431no—
989#446—431no—
990#446—431no—
991#446—431no—
992C8×Q8—431no—
993C8×Q8—431no—
994C8×Q8—431no—
995C8×Q8—431no—
996#442—431no—
997#442—431no—
998#442—431no—
999#442—431no—
1000#442—431no—
1001#442—431no—
1002#440—431no—
1003#440—431no—
1004C4×SD16—431no—
1005C4×SD16—431no—
1006C4×SD16—431no—
1007C4×SD16—431no—
1008C4×D8—431no—
1009C4×D8—431no—
1010C4×D8—431no—
1011C4×D8—431no—
1012C4×D8—431no—
1013C4×D8—431no—
1014C4×D8—431no—
1015C4×D8—431no—
1016C4×D8—431no—
1017C4×D8—431no—
1018C4×D8—431no—
1019C4×D8—431no—
1020#433—431no—
1021#433—431no—
1022#433—431no—
1023#433C2×D4311yescharacteristic
1024#431—431no—
1025#431—431no—
1026C43#6186311yescharacteristic, 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×SD16—431no—
1036C2×D8—431no—
1037C2×D8—431no—
1038C2×D8—431no—
1039C2×D8—431no—
1040C2×D8—431no—
1041C2×D8—431no—
1042C4⋊Q8—21no—
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—861no—
1052C4⋊Q8—861no—
1053C4⋊Q8C22×D4311yescharacteristic
1054C4⋊Q8C22×D4311yescharacteristic
1055C4⋊Q8C22×D4311yescharacteristic
1056#127—431no—
1057#127—431no—
1058#127—431no—
1059#126—21no—
1060#126—861no—
1061#126—861no—
1062#125—21no—
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—431no—
1072#125—861no—
1073#125—861no—
1074#125—861no—
1075#125C22×D4311yescharacteristic
1076#125C22×D4311yescharacteristic
1077#124—21no—
1078#124—431no—
1079#124—431no—
1080#124—861no—
1081#124—861no—
1082#124—861no—
1083#124—861no—
1084#124—861no—
1085#124C22×D4311yescharacteristic
1086#123—21no—
1087#123—861no—
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—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⋊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⋊Q8C22×D4311yescharacteristic
1145#121—431no—
1146#121—431no—
1147#121—861no—
1148#121—861no—
1149#121—861no—
1150#121—861no—
1151#121—861no—
1152#121—861no—
1153#121—861no—
1154#121—861no—
1155#121C22×D4311yescharacteristic
1156C4×Q8—431no—
1157C4×Q8—431no—
1158C4×Q8—431no—
1159C4×Q8—431no—
1160C4×Q8—431no—
1161C4×Q8—431no—
1162C4×Q8—861no—
1163C4×Q8—861no—
1164C4×Q8—861no—
1165C4×Q8C22×D4311yescharacteristic
1166C4×D4—431no—
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—431no—
1184C4×D4—431no—
1185C4×D4—431no—
1186C4×D4—861no—
1187C4×D4—861no—
1188C4×D4—861no—
1189C4×D4—861no—
1190C4×D4—861no—
1191C4×D4—861no—
1192C4×D4—861no—
1193C4×D4—861no—
1194C4×D4—861no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4C22×D4311yescharacteristic
1198#117—431no—
1199#117—431no—
1200#117—861no—
1201#117C22×D4311yescharacteristic
1202#117C22×D4311yescharacteristic
1203C2×C4⋊C4—861no—
1204C2×C4⋊C4—861no—
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⋊C4C22×D4311yescharacteristic
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#107C22×D4311yescharacteristic
1229#107C22×D4311yescharacteristic
1230#107C22×D4311yescharacteristic
1231#107C22×D4311yescharacteristic
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#106C22×D4311yescharacteristic
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⋊C8—431no—
1252C4⋊C8C22×D4311yescharacteristic
1253C4⋊C8C22×D4311yescharacteristic
1254#103—431no—
1255#103—431no—
1256#103C22×D4311yescharacteristic
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#102—431no—
1280#102—431no—
1281#102—431no—
1282#102C22×D4311yescharacteristic
1283#102C22×D4311yescharacteristic
1284#102C22×D4311yescharacteristic
1285#102C22×D4311yescharacteristic
1286C22⋊C8—431no—
1287C22⋊C8—431no—
1288C22⋊C8C22×D4311yescharacteristic
1289C22⋊C8C22×D4311yescharacteristic
1290#97—431no—
1291#97—431no—
1292#97—431no—
1293#97C22×D4311yescharacteristic
1294C4×C8—431no—
1295C4×C8—431no—
1296C4×C8—431no—
1297C4×C8—431no—
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—21no—
1307C2×Q8—21no—
1308C2×Q8—431no—
1309C2×Q8—431no—
1310C2×Q8—431no—
1311C2×Q8—431no—
1312C2×Q8—861no—
1313C2×Q8—861no—
1314C2×Q8—861no—
1315C2×Q8—861no—
1316C2×Q8—861no—
1317C2×Q8—861no—
1318C2×Q8—3442no—
1319C2×Q8—3442no—
1320C2×Q8—3442no—
1321C2×Q8C23×D4311yescharacteristic
1322C2×D4—21no—
1323C2×D4—431no—
1324C2×D4—431no—
1325C2×D4—431no—
1326C2×D4—431no—
1327C2×D4—862no—
1328C2×D4—862no—
1329C2×D4—861no—
1330C2×D4—861no—
1331C2×D4—861no—
1332C2×D4—861no—
1333C2×D4—861no—
1334C2×D4—861no—
1335C2×D4—861no—
1336C2×D4—861no—
1337C2×D4—861no—
1338C2×D4C23×D4311yescharacteristic
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—431no—
1342C22×C4—431no—
1343C22×C4—861no—
1344C22×C4—861no—
1345C22×C4—861no—
1346C22×C4—861no—
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—3442no—
1364C22×C4C23×D4311yescharacteristic
1365SD16—862no—
1366SD16—862no—
1367D8—862no—
1368D8—862no—
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—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
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—431no—
1407C4⋊C4—431no—
1408C4⋊C4—431no—
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⋊C4D4×D4311yescharacteristic
1432C4⋊C4D4×D4311yescharacteristic
1433C4⋊C4C23×D4311yescharacteristic
1434C4⋊C4C23×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—431no—
1446C22⋊C4—431no—
1447C22⋊C4—861no—
1448C22⋊C4—861no—
1449C22⋊C4—861no—
1450C22⋊C4—861no—
1451C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1475C22⋊C4D4×D4311yescharacteristic
1476C42—21no—
1477C42—21no—
1478C42—431no—
1479C42—431no—
1480C42—431no—
1481C42—431no—
1482C42—431no—
1483C42—431no—
1484C42—861no—
1485C42—861no—
1486C42—861no—
1487C42C23×D4311yescharacteristic
1488C42C23×D4311yescharacteristic
1489C23—21no—
1490C23—864no—
1491C23—861no—
1492C23—861no—
1493C23—861no—
1494C23—861no—
1495C23—3441no—
1496C23—3441no—
1497C23C2×D4×D4311yescharacteristic
1498Q8—21no—
1499Q8—21no—
1500Q8—81no—
1501Q8—81no—
1502Q8—81no—
1503Q8—862no—
1504Q8—862no—
1505Q8—3441no—
1506Q8—3441no—
1507Q8—3441no—
1508Q8—3441no—
1509Q8—1721no—
1510Q8—1721no—
1511Q8—1722no—
1512Q8—1722no—
1513D4—21no—
1514D4—21no—
1515D4—81no—
1516D4—432no—
1517D4—432no—
1518D4—864no—
1519D4—861no—
1520D4—861no—
1521D4—861no—
1522D4—861no—
1523D4—861no—
1524D4—861no—
1525D4—3441no—
1526D4—3441no—
1527D4—3441no—
1528D4—3441no—
1529D4—3441no—
1530D4—3441no—
1531D4—3441no—
1532D4—1722no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—81no—
1543C2×C4—81no—
1544C2×C4—431no—
1545C2×C4—431no—
1546C2×C4—431no—
1547C2×C4—431no—
1548C2×C4—431no—
1549C2×C4—431no—
1550C2×C4—431no—
1551C2×C4—431no—
1552C2×C4—862no—
1553C2×C4—861no—
1554C2×C4—861no—
1555C2×C4—861no—
1556C2×C4—861no—
1557C2×C4—3441no—
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—3441no—
1573C2×C4—3441no—
1574C2×C4—1722no—
1575C2×C4—1722no—
1576C2×C4—1722no—
1577C2×C4—1721no—
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—21no—
1593C22—21no—
1594C22—21no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—862no—
1599C22—862no—
1600C22—3444no—
1601C22—1721no—
1602C22—1721no—
1603C22—1721no—
1604C22—1721no—
1605C22—1721no—
1606C22—1721no—
1607C22—1721no—
1608C22—1721no—
1609C22—1721no—
1610C22—1721no—
1611C22C22×D4×D4311yescharacteristic
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—432no—
1625C4—861no—
1626C4—861no—
1627C4—861no—
1628C4—861no—
1629C4—861no—
1630C4—861no—
1631C4—861no—
1632C4—1721no—
1633C4—1721no—
1634C4—1721no—
1635C4—1721no—
1636C42−1+4×D4311yescharacteristic
1637C42−1+4×D4311yescharacteristic
1638C2—41no—
1639C2—81no—
1640C2—3441no—
1641C2—3441no—
1642C2—1722no—
1643C2—1722no—
1644C2#1914824411yescharacteristic
1645C2#576×D4311yescharacteristic
1646C2#1914936511yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3243C2
socleC22×C43C23×D4
hypercenter#3243D43
hypocenterC43#61863
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
1. #19149064C2semidirect
2. #19148397C2semidirect
3. #19147550C2semidirect
4. #19147548C2semidirect
5. #19147519C2semidirect
6. #19147491C2semidirect
7. #19147473C2semidirect
8. #19147464C2semidirect
9. #19147457C2semidirect
10. #19147447C2semidirect
11. #19147384C2semidirect
12. #19147351C2semidirect
13. #19147347C2semidirect
14. #19147305C2semidirect
15. #19147254C2semidirect
16. #19147252C2semidirect
17. #19147252C2semidirect
18. #19147229C2semidirect
19. #19145882C2semidirect
20. #19145848C2semidirect
21. #19145844C2semidirect
22. #19145777C2semidirect
23. #19145729C2semidirect
24. #19144839C2semidirect
25. #19144834C2semidirect
26. #19144782C2semidirect
27. #19144773C2semidirect
28. #19144645C2semidirect
29. #19144592C2semidirect
30. #19143694C2semidirect
31. C43×#3243C2semidirect
34. #14583634C22semidirect
35. #14583631C22semidirect
36. #14583631C22semidirect
37. #14583625C22semidirect
41. #14583610C22semidirect
42. #14583608C22semidirect
49. #14583570C22semidirect
53. #14583564C22semidirect
75. #14583307C22semidirect
76. #14583307C22semidirect
77. #14583305C22semidirect
78. #14583303C22semidirect
79. #14583303C22semidirect
80. #14583300C22semidirect
81. #14583300C22semidirect
82. #14583299C22semidirect
83. #14583298C22semidirect
84. #14583296C22semidirect
85. #14583265C22semidirect
86. #14583262C22semidirect
87. #14583260C22semidirect
88. #14583255C22semidirect
89. #14583255C22semidirect
90. #14583255C22semidirect
91. #14583247C22semidirect
92. #14583244C22semidirect
93. #14583244C22semidirect
94. #14583244C22semidirect
103. #14583204C22semidirect
107. #14583202C22semidirect
108. #14583202C22semidirect
109. #14583202C22semidirect
110. #14583201C22semidirect
114. #14583198C22semidirect
115. #14583197C22semidirect
116. #14583197C22semidirect
117. #14583196C22semidirect
118. #14583196C22semidirect
119. #14583192C22semidirect
120. #14583192C22semidirect
122. #14583188C22semidirect
123. #14583187C22semidirect
125. #14583186C22semidirect
126. #14583182C22semidirect
130. #14583178C22semidirect
131. #14583178C22semidirect
132. #14583178C22semidirect
134. #14583176C22semidirect
151. #14583028C22semidirect
152. #14583028C22semidirect
153. #14583027C22semidirect
154. #14583027C22semidirect
155. C8×Dic86C22semidirect
156. C8×Dic86C22semidirect
157. #14583023C22semidirect
158. #14583023C22semidirect
190. C43×#501C22semidirect
191. C43×#500C22semidirect
192. C43×#489C22semidirect
193. C43×#488C22semidirect
198. C43×#479C22semidirect
199. C43×#478C22semidirect
200. C43×#477C22semidirect
201. C43×#474C22semidirect
834. #3243D43semidirect
903. #501C2×D43semidirect
906. #500C2×D43semidirect
915. #489C2×D43semidirect
919. #488C2×D43semidirect
937. #479C2×D43semidirect
953. #478C2×D43semidirect
956. #477C2×D43semidirect
971. #474C2×D43semidirect
1026. C43#61863semidirect

Maximal subgroups

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

subgroupindex
#191490642
#191483972
#191475502
#191475482
#191475192
#191474912
#191474732
#191474642
#191474572
#191474472
#191473842
#191473512
#191473472
#191473052
#191472542
#191472522
#191472292
#191458822
#191458482
#191458442
#191457772
#191457292
#191448392
#191448342
#191447822
#191447732
#191446452
#191445922
#191436942
C43×#32432
#6186343