Finite Group Databasebeta

← #25979544

Subgroups — #25979544

Order 11008.

1816 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148685C211yesmaximal, characteristic, complemented
2#19148634C211yesmaximal, characteristic
3#19147627C211yesmaximal, characteristic, complemented
4#19147517C211yesmaximal, characteristic, complemented
5#19147281C211yesmaximal, characteristic, complemented
6#19147235C211yesmaximal, characteristic, complemented
7#19147175C211yesmaximal, characteristic, complemented
8#19147055C211yesmaximal, characteristic, complemented
9#19147051C211yesmaximal, characteristic, complemented
10#19146508C211yesmaximal, characteristic, complemented
11#19146473C211yesmaximal, characteristic, complemented
12#19146467C211yesmaximal, characteristic, complemented
13#19146456C211yesmaximal, characteristic, complemented
14#19146435C211yesmaximal, characteristic, complemented
15#19146431C211yesmaximal, characteristic, complemented
16#19146235C211yesmaximal, characteristic, complemented
17#19146107C211yesmaximal, characteristic, complemented
18#19146099C211yesmaximal, characteristic, complemented
19#19145267C211yesmaximal, characteristic, complemented
20#19145263C211yesmaximal, characteristic, complemented
21#19145178C211yesmaximal, characteristic, complemented
22#19144828C211yesmaximal, characteristic, complemented
23#19144824C211yesmaximal, characteristic, complemented
24#19144813C211yesmaximal, characteristic, complemented
25#19144809C211yesmaximal, characteristic, complemented
26#19144723C211yesmaximal, characteristic, complemented
27#19144692C211yesmaximal, characteristic, complemented
28#19143566C211yesmaximal, characteristic, complemented
29#19143431C211yesmaximal, characteristic, complemented
30C4×SD16×D43C211yesmaximal, characteristic, complemented
31C43×#2947C211yesmaximal, characteristic, complemented
32C2×#13063354C2211yescharacteristic
33C2×SD16×D43C2211yescharacteristic
34#14583627—21no—
35#14583627C2211yescharacteristic, complemented
36#14583625C2211yescharacteristic, complemented
37#14583621C2211yescharacteristic
38#14583617—21no—
39#14583617C2211yescharacteristic, complemented
40#14583609C2211yescharacteristic
41#14583604C2211yescharacteristic
42#14583590—21no—
43#14583590C2211yescharacteristic
44#14583588—21no—
45#14583588C2211yescharacteristic
46#14583582—21no—
47#14583578—21no—
48#14583573—21no—
49Q8×D172C2211yescharacteristic
50D4×Dic86C2211yescharacteristic
51Q8×C22⋊D43C2211yescharacteristic
52Q8×C22⋊D43C2211yescharacteristic, complemented
53#14583558—21no—
54#14583550C2211yescharacteristic
55#14583548C2211yescharacteristic
56#14583544C2211yescharacteristic
57#14583537C2211yescharacteristic
58#14583521C2211yescharacteristic
59#14583520C2211yescharacteristic
60#14583511—21no—
61#14583511C2211yescharacteristic, complemented
62#14583507—21no—
63#14583507C2211yescharacteristic, complemented
64#14583496—21no—
65#14583491—21no—
66#14583453—21no—
67#14583453C2211yescharacteristic
68#14583453C2211yescharacteristic
69#14583427—21no—
70#14583427C2211yescharacteristic
71#14583408—21no—
72C2×#13063303—21no—
73#14583378C2211yescharacteristic
74#14583375C2211yescharacteristic, complemented
75C4×Q8×D43C2211yescharacteristic
76C4×D4×D43C2211yescharacteristic
77#14583308C2211yescharacteristic, complemented
78#14583307C2211yescharacteristic, complemented
79#14583303C2211yescharacteristic, complemented
80#14583293C2211yescharacteristic
81#14583292C2211yescharacteristic
82#14583277C2211yescharacteristic, complemented
83#14583255C2211yescharacteristic
84#14583254C2211yescharacteristic
85#14583250C2211yescharacteristic, complemented
86#14583248C2211yescharacteristic, complemented
87#14583248C2211yescharacteristic, complemented
88#14583248C2211yescharacteristic, complemented
89#14583240C2211yescharacteristic, complemented
90#14583239C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic
92#14583236C2211yescharacteristic, complemented
93#14583234C2211yescharacteristic, complemented
94#14583233C2211yescharacteristic
95#14583231C2211yescharacteristic
96#14583229C2211yescharacteristic, complemented
97#14583228C2211yescharacteristic
98#14583228C2211yescharacteristic, complemented
99#14583225C2211yescharacteristic
100#14583223C2211yescharacteristic
101#14583206C2211yescharacteristic, complemented
102#14583205C2211yescharacteristic, complemented
103#14583201C2211yescharacteristic
104#14583199C2211yescharacteristic
105#14583194C2211yescharacteristic, complemented
106#14583192C2211yescharacteristic, complemented
107#14583184C2211yescharacteristic, complemented
108#14583183C2211yescharacteristic, complemented
109#14583183C2211yescharacteristic, complemented
110#14583182C2211yescharacteristic, complemented
111#14583178C2211yescharacteristic
112#14583177C2211yescharacteristic
113#14583157C2211yescharacteristic, complemented
114#14583154C2211yescharacteristic, complemented
115#14583146C2211yescharacteristic
116#14583145C2211yescharacteristic
117#14583141C2211yescharacteristic
118#14583140C2211yescharacteristic, complemented
119#14583139C2211yescharacteristic
120#14583139C2211yescharacteristic
121#14583139C2211yescharacteristic, complemented
122#14583137C2211yescharacteristic
123#14583131C2211yescharacteristic
124#14583128C2211yescharacteristic
125#14583124C2211yescharacteristic
126#14583123C2211yescharacteristic
127#14583121C2211yescharacteristic
128#14583121C2211yescharacteristic
129#14583109C2211yescharacteristic, complemented
130#14583108C2211yescharacteristic, complemented
131#14583108C2211yescharacteristic, complemented
132#14583107C2211yescharacteristic, complemented
133#14583104C2211yescharacteristic
134#14583103C2211yescharacteristic
135#14583102C2211yescharacteristic
136#14583102C2211yescharacteristic
137#14583062C2211yescharacteristic
138#14583061C2211yescharacteristic
139#14583061C2211yescharacteristic
140#14583058C2211yescharacteristic
141#14583056C2211yescharacteristic
142#14583055C2211yescharacteristic, complemented
143#14583053C2211yescharacteristic
144#14583053C2211yescharacteristic, complemented
145#14583051C2211yescharacteristic
146#14583048C2211yescharacteristic
147#14583039C2211yescharacteristic
148#14583038C2211yescharacteristic
149#14583027C2211yescharacteristic, complemented
150C8×Dic86C2211yescharacteristic, complemented
151#14583007C2211yescharacteristic, complemented
152#14583005C2211yescharacteristic, complemented
153#14583004C2211yescharacteristic, complemented
154#14583004C2211yescharacteristic, complemented
155#14583001C2211yescharacteristic
156#14583000C2211yescharacteristic
157#14582999C2211yescharacteristic
158#14582997C2211yescharacteristic
159C4×Dic172C2211yescharacteristic, complemented
160C4×#10621885C2211yescharacteristic, complemented
161C4×#10621885C2211yescharacteristic, complemented
162#14582991C2211yescharacteristic, complemented
163#14582990C2211yescharacteristic
164#14582990C2211yescharacteristic
165C4×#10621873C2211yescharacteristic
166SD16×Dic43C2211yescharacteristic
167C4×#10621884C2211yescharacteristic
168#14582986C2211yescharacteristic
169C4×#10621883C2211yescharacteristic
170#14582984C2211yescharacteristic
171#14582975C2211yescharacteristic, complemented
172#14582972C2211yescharacteristic
173#14582968C2211yescharacteristic
174C8×D172C2211yescharacteristic
175C8×C22⋊D43C2211yescharacteristic
176C8×C22⋊D43C2211yescharacteristic, complemented
177#14582961C2211yescharacteristic, complemented
178#14582960C2211yescharacteristic, complemented
179#14582954C2211yescharacteristic
180#14582938C2211yescharacteristic, complemented
181#106×D43C2211yescharacteristic
182#14582892C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#103×D43C2211yescharacteristic, complemented
185#102×D43C2211yescharacteristic
186#14582853C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic
188C2×#137×C43C2211yescharacteristic
189C43×#520C2211yescharacteristic
190C43×#519C2211yescharacteristic, complemented
191C43×#441C2211yescharacteristic, complemented
192C43×#441C2211yescharacteristic, complemented
193C43×#440C2211yescharacteristic
194C43×#440C2211yescharacteristic
195C4×Q16×C43C2211yescharacteristic, complemented
196C4×Q16×C43C2211yescharacteristic, complemented
197C4×SD16×C43C2211yescharacteristic
198C4×SD16×C43C2211yescharacteristic
199C43×#428C2211yescharacteristic, complemented
200C43×#416C2211yescharacteristic
201C2×#103×C43C2211yescharacteristic, complemented
202C43×#405C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621900C2311yescharacteristic
205C22×Dic86—21no—
206C2×Q8×D43C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208C2×D4×D43C2311yescharacteristic
209C22×C4×D43—21no—
210#13063354—24no—
211C2×Dic172C2311yescharacteristic
212C2×Dic172C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223SD16×D43—24no—
224C2×#10621872C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228#13063325—21no—
229#13063325C2311yescharacteristic
230#13063325C2311yescharacteristic
231#13063324—21no—
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063323—21no—
236#13063323—21no—
237#13063323C2311yescharacteristic
238#13063323C2311yescharacteristic
239#13063323C2311yescharacteristic
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320D411yescharacteristic
244#13063319—21no—
245#13063319—21no—
246#13063319—21no—
247#13063319—21no—
248#13063319—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318—21no—
252#13063318—21no—
253#13063318D411yescharacteristic
254#13063317—21no—
255#13063317—21no—
256#13063317—21no—
257#13063317—21no—
258#13063317—21no—
259#13063317C2311yescharacteristic
260#13063316—21no—
261#13063316C2311yescharacteristic
262#13063315—21no—
263#13063315—21no—
264#13063315—21no—
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063315—21no—
270#13063315—21no—
271#13063315D411yescharacteristic
272#13063314C2311yescharacteristic
273#13063313—21no—
274#13063313C2311yescharacteristic
275#13063311—21no—
276#13063311—21no—
277#13063311D411yescharacteristic
278#13063310—21no—
279#13063310—21no—
280#13063310—21no—
281#13063310D411yescharacteristic
282#13063309—21no—
283#13063308—21no—
284#13063308—21no—
285#13063308—21no—
286#13063307—21no—
287#13063307—21no—
288#13063307D411yescharacteristic
289#13063306—21no—
290#13063305—21no—
291#13063305—21no—
292#13063305C2311yescharacteristic
293#13063305C2311yescharacteristic
294#13063305C2311yescharacteristic
295#13063304—21no—
296#13063304—21no—
297#13063304—21no—
298#13063304—21no—
299#13063304C2311yescharacteristic
300#13063304C2311yescharacteristic
301#13063304C2311yescharacteristic
302#13063303—21no—
303#13063303—21no—
304#13063303—21no—
305#13063303—21no—
306#13063303—21no—
307#13063303—21no—
308#13063303—21no—
309#13063303—21no—
310#13063303—21no—
311#13063303D411yescharacteristic
312#13063302—21no—
313#13063302—21no—
314#13063301—21no—
315#13063301—21no—
316#13063301C2311yescharacteristic
317#13063301C2311yescharacteristic
318#13063301C2311yescharacteristic
319#13063301C2311yescharacteristic
320#13063300C2311yescharacteristic
321#13063299—21no—
322#13063299C2311yescharacteristic
323#13063298D411yescharacteristic
324#13063297—21no—
325#13063297—21no—
326#13063295—21no—
327#13063293—21no—
328Q8×Dic43C2311yescharacteristic
329Q8×Dic43C2311yescharacteristic
330C4×Dic86—21no—
331C4×Dic86—21no—
332C4×Dic86—21no—
333C4×Dic86—21no—
334C4×Dic86—21no—
335C4×Dic86—21no—
336C4×Dic86—21no—
337C4×Dic86C2311yescharacteristic
338C4×Dic86C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341#13063290—21no—
342#13063290—21no—
343#13063290C2311yescharacteristic
344#13063290C2311yescharacteristic
345#13063290C2311yescharacteristic
346C4×D172—21no—
347C4×D172—21no—
348C4×D172C2311yescharacteristic
349C4×D172C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351D4×Dic43C2311yescharacteristic
352#13063287C2311yescharacteristic
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43C2311yescharacteristic
359C4×C22⋊D43C2311yescharacteristic
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362#13063283—21no—
363#13063283C2311yescharacteristic
364#13063282—21no—
365#13063282—21no—
366#13063282—21no—
367#13063282—21no—
368#13063282—21no—
369#13063282—21no—
370#13063282C2311yescharacteristic
371#13063281—21no—
372C2×Dic43⋊C4—21no—
373C2×Dic43⋊C4—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C2×(C2×D43)⋊C4—21no—
379C2×(C2×D43)⋊C4—21no—
380C22⋊C4×D43—21no—
381C42×D43—21no—
382C42×D43C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395C4⋊(C43⋊C8)C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063235C2311yescharacteristic
433C4×C43⋊C8C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C2×#41×C43C2311yescharacteristic
438C22×Q8×C43C2311yescharacteristic
439#137×C43—24no—
440C2×Q16×C43C2311yescharacteristic
441C2×Q16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×M16×C43C2311yescharacteristic
445C22×C8×C43C2311yescharacteristic
446C4×Q8×C43—21no—
447C4×Q8×C43—21no—
448C4×Q8×C43C2311yescharacteristic
449C4×Q8×C43C2311yescharacteristic
450C4×Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×D4×C43—21no—
455C4×D4×C43—21no—
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#117×C43—21no—
459#117×C43—21no—
460#117×C43—21no—
461#117×C43C2311yescharacteristic
462#117×C43C2311yescharacteristic
463C2×C4⋊C4×C43—21no—
464C2×C4⋊C4×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#97×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482#41×C43—22no—
483#41×C43—41no—
484C2×Q8×C43—21no—
485C2×Q8×C43—22no—
486C2×Q8×C43—41no—
487C2×Q8×C43C2411yescharacteristic
488C2×Q8×C43C2411yescharacteristic
489C2×Q8×C43C2411yescharacteristic
490C2×D4×C43—21no—
491C2×D4×C43C2411yescharacteristic
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43C2411yescharacteristic
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43C2×D411yescharacteristic
502C2×C22⋊D43C2×D411yescharacteristic
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43—21no—
506Q8×D43—22no—
507Q8×D43—22no—
508Q8×D43—41no—
509Q8×D43—41no—
510#10621900—22no—
511#10621900—41no—
512D4×D43—22no—
513D4×D43—41no—
514#10621898—82no—
515C2×D172—21no—
516C2×D172C2×D411yescharacteristic
517C2×D172C2411yescharacteristic
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×C4×D43C2411yescharacteristic
530C2×Dic86—21no—
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86—82no—
537C2×Dic86C2×D411yescharacteristic
538C2×Dic86C2411yescharacteristic
539C2×Dic86C2411yescharacteristic
540C2×Dic86C2411yescharacteristic
541Q16×C43—22no—
542Q16×C43—22no—
543SD16×C43—22no—
544SD16×C43#4114yescomplemented
545M16×C43—22no—
546C2×C8×C43—41no—
547C2×C8×C43C2411yescharacteristic
548C2×C8×C43C2411yescharacteristic
549C2×C8×C43C2411yescharacteristic
550C2×C8×C43C2411yescharacteristic
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43C2×D411yescharacteristic
559C4⋊C4×C43C2×D411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43C2×D411yescharacteristic
568C22⋊C4×C43C2×D411yescharacteristic
569C42×C43—21no—
570C42×C43—21no—
571C42×C43—21no—
572C42×C43—21no—
573C42×C43—21no—
574C42×C43—21no—
575C42×C43—21no—
576C42×C43C2411yescharacteristic
577C42×C43C2411yescharacteristic
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43C2×D411yescharacteristic
584C22⋊Dic43C2×D411yescharacteristic
585#10621885—22no—
586#10621885—41no—
587#10621885—41no—
588#10621885—41no—
589#10621884—22no—
590#10621884—41no—
591#10621883—22no—
592#10621883—22no—
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—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4C2×D411yescharacteristic
610(C2×D43)⋊C4C2×D411yescharacteristic
611(C2×D43)⋊C4C2×D411yescharacteristic
612(C2×D43)⋊C4C2×D411yescharacteristic
613(C2×D43)⋊C4C2×D411yescharacteristic
614(C2×D43)⋊C4C2×D411yescharacteristic
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43C2×D411yescharacteristic
625C4⋊Dic43C2×D411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
627C4⋊Dic43C2411yescharacteristic
628C4⋊Dic43C2411yescharacteristic
629C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681Dic172—22no—
682Dic172—41no—
683#10621873—22no—
684#10621873—41no—
685#10621872—22no—
686C8×D43—22no—
687C8×D43—41no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43C22×D411yescharacteristic
691C22×D43—21no—
692C22×D43—42no—
693C22×D43—42no—
694C22×D43—81no—
695C22×D43C22×D411yescharacteristic
696C22×D43C22×D411yescharacteristic
697Q8×C43—21no—
698Q8×C43—21no—
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—21no—
702Q8×C43—42no—
703Q8×C43C2×#4112yes—
704D4×C43—21no—
705D4×C43—42no—
706D4×C43C2×#4112yes—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—42no—
717C2×C4×C43—42no—
718C2×C4×C43—81no—
719C2×C4×C43—81no—
720C2×C4×C43—81no—
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C2511yescharacteristic
727C22⋊D43—22no—
728C22⋊D43—22no—
729C22⋊D43—42no—
730C22⋊D43—42no—
731C22⋊D43—81no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—42no—
740C2×Dic43—42no—
741C2×Dic43—81no—
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748D172—22no—
749D172—21no—
750D172—21no—
751D172—81no—
752C4×D43—22no—
753C4×D43—21no—
754C4×D43—21no—
755C4×D43—21no—
756C4×D43—21no—
757C4×D43—22no—
758C4×D43—42no—
759C4×D43—42no—
760C4×D43—42no—
761C4×D43—42no—
762C4×D43—81no—
763C4×D43—81no—
764C4×D43—81no—
765Dic86—22no—
766Dic86—21no—
767Dic86—21no—
768Dic86—21no—
769Dic86—21no—
770Dic86—21no—
771Dic86—21no—
772Dic86—42no—
773Dic86—42no—
774Dic86—42no—
775Dic86—42no—
776Dic86—81no—
777Dic86—81no—
778C8×C43—21no—
779C8×C43—21no—
780C8×C43—21no—
781C8×C43C2×#4112yes—
782C43⋊C8—21no—
783C43⋊C8—21no—
784C43⋊C8—21no—
785C43⋊C8—21no—
786#61497—431nomaximal, Sylow
787C22×C43—22no—
788C22×C43—21no—
789C22×C43—21no—
790C22×C43—21no—
791C22×C43—41no—
792C22×C43—41no—
793C22×C43C23×D411yescharacteristic
794C2×D43—21no—
795C2×D43—21no—
796C2×D43—21no—
797C2×D43—21no—
798C2×D43—21no—
799C2×D43—41no—
800C2×D43—41no—
801C2×D43—41no—
802C2×D43—84no—
803C2×D43#57812yes—
804C4×C43—22no—
805C4×C43—21no—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—21no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43C22×#4111yescharacteristic
817C4×C43#58511yescharacteristic
818Dic43—21no—
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—41no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830Dic43#57712yes—
831#3523—431no—
832#3520—431no—
833#3398—431no—
834#3386—431no—
835#3364—431no—
836#3359—431no—
837#3353—431no—
838#3344—431no—
839#3344—431no—
840#3302—431no—
841#3299—431no—
842#3299—431no—
843#3298—431no—
844#3296—431no—
845#3296—431no—
846#3276—431no—
847#3266—431no—
848#3266—431no—
849#3178—431no—
850#3178—431no—
851#3170—431no—
852#3121—431no—
853#3121—431no—
854#3120—431no—
855#3120—431no—
856#3113—431no—
857#3110—431no—
858#2966—431no—
859#2947—431no—
860#2947D4311yescharacteristic, complemented
861C2×C4×SD16—431no—
862C2×C43—42no—
863C2×C43—41no—
864C2×C43D4×#4111yescharacteristic
865C2×C43C2×#57711yescharacteristic
866C2×C43C2×#57811yescharacteristic
867D43—22no—
868D43—41no—
869D43—81no—
870C2×#137—431no—
871C2×#137C2×D4311yescharacteristic
872C22×SD16—431no—
873#557—431no—
874#557—431no—
875#557—861no—
876#556—431no—
877#556—431no—
878#556—861no—
879#554—431no—
880#554—431no—
881#552—431no—
882#552—431no—
883#552—861no—
884#552—861no—
885#552—861no—
886#551—861no—
887#551—861no—
888D4×Q8—431no—
889D4×Q8—431no—
890D4×Q8—431no—
891D4×Q8—431no—
892#548—861no—
893#547—431no—
894#547—431no—
895#546—431no—
896#546—431no—
897#542—431no—
898#542—431no—
899#541—431no—
900#541—431no—
901#541—861no—
902#541—861no—
903#539—861no—
904#539—861no—
905#533—431no—
906#533—431no—
907#533—861no—
908#529—431no—
909#529—861no—
910#525—861no—
911C2×C22⋊Q8—861no—
912#520—431no—
913#520C2×D4311yescharacteristic
914#519—431no—
915#519C2×D4311yescharacteristic, complemented
916C2×C4×Q8—431no—
917C2×C4×D4—431no—
918#501—431no—
919#501—431no—
920#500—431no—
921#497—431no—
922#497—431no—
923#494—431no—
924#488—431no—
925#488—431no—
926#487—431no—
927#487—431no—
928#487—431no—
929#487—431no—
930#485—431no—
931#485—431no—
932#484—431no—
933#484—431no—
934#484—431no—
935#484—431no—
936#483—431no—
937#483—431no—
938#483—431no—
939#483—431no—
940#482—431no—
941#482—431no—
942#479—431no—
943#479—431no—
944#478—431no—
945#478—431no—
946#477—431no—
947#477—431no—
948#475—431no—
949#475—431no—
950#475—431no—
951#475—431no—
952#474—431no—
953#474—431no—
954#470—431no—
955#470—431no—
956#468—431no—
957#468—431no—
958#467—431no—
959#467—431no—
960#467—431no—
961#467—431no—
962#467—431no—
963#467—431no—
964#465—431no—
965#465—431no—
966#464—431no—
967#464—431no—
968#464—431no—
969#464—431no—
970#462—431no—
971#462—431no—
972#462—431no—
973#462—431no—
974#461—431no—
975#461—431no—
976#461—431no—
977#461—431no—
978#452—431no—
979#452—431no—
980#452—431no—
981#452—431no—
982#451—431no—
983#451—431no—
984#451—431no—
985#451—431no—
986#450—431no—
987#450—431no—
988#448—431no—
989#448—431no—
990#446—431no—
991C8×Q8—431no—
992#441—431no—
993#441—431no—
994#441—431no—
995#441—431no—
996#441C2×D4311yescharacteristic, complemented
997#441C2×D4311yescharacteristic, complemented
998#440—431no—
999#440—431no—
1000#440—431no—
1001#440—431no—
1002#440C2×D4311yescharacteristic
1003#440C2×D4311yescharacteristic
1004C4×Q16—431no—
1005C4×Q16—431no—
1006C4×Q16—431no—
1007C4×Q16—431no—
1008C4×Q16C2×D4311yescharacteristic, complemented
1009C4×Q16C2×D4311yescharacteristic, complemented
1010C4×SD16—431no—
1011C4×SD16—431no—
1012C4×SD16—431no—
1013C4×SD16—431no—
1014C4×SD16—431no—
1015C4×SD16—431no—
1016C4×SD16—431no—
1017C4×SD16—431no—
1018C4×SD16C2×D4311yescharacteristic
1019C4×SD16C2×D4311yescharacteristic
1020#436—431no—
1021#435—431no—
1022#435—431no—
1023C8×D4—431no—
1024C8×D4—431no—
1025C8×D4—431no—
1026#433—431no—
1027#433—431no—
1028#432—431no—
1029#428—431no—
1030#428C2×D4311yescharacteristic, complemented
1031C2×#106—431no—
1032#416—431no—
1033#416C2×D4311yescharacteristic
1034C2×#103—431no—
1035C2×#103—431no—
1036C2×#103C2×D4311yescharacteristic, complemented
1037C2×#102—431no—
1038#405—431no—
1039#405C2×D4311yescharacteristic, complemented
1040C2×C4×C8—431no—
1041C43#6149711yescharacteristic, complemented, Sylow
1042C2×#41—431no—
1043C2×#41—861no—
1044C2×#41C22×D4311yescharacteristic
1045C22×Q8—431no—
1046C22×Q8—431no—
1047C22×Q8—861no—
1048C22×Q8C22×D4311yescharacteristic
1049C22×D4—431no—
1050C23×C4—861no—
1051#137—24no—
1052#137—864no—
1053C2×Q16—431no—
1054C2×Q16—431no—
1055C2×Q16—431no—
1056C2×Q16—431no—
1057C2×Q16—431no—
1058C2×Q16—431no—
1059C2×Q16C22×D4311yescharacteristic
1060C2×Q16C22×D4311yescharacteristic
1061C2×SD16—431no—
1062C2×SD16—431no—
1063C2×SD16—431no—
1064C2×SD16—431no—
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16—864no—
1068C2×SD16C22×D4311yescharacteristic
1069C2×SD16C22×D4311yescharacteristic
1070C2×M16—431no—
1071C2×M16C22×D4311yescharacteristic
1072C22×C8—431no—
1073C22×C8—431no—
1074C22×C8—431no—
1075C22×C8C22×D4311yescharacteristic
1076C4⋊Q8—431no—
1077C4⋊Q8—431no—
1078C4⋊Q8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—431no—
1081C4⋊Q8—431no—
1082C4⋊Q8—431no—
1083C4⋊Q8—431no—
1084C4⋊Q8—861no—
1085C4⋊Q8—861no—
1086C4⋊Q8—861no—
1087C4⋊Q8—861no—
1088#126—431no—
1089#126—431no—
1090#126—861no—
1091#126—861no—
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#125—431no—
1103#125—431no—
1104#125—431no—
1105#125—861no—
1106#125—861no—
1107#125—861no—
1108#125—861no—
1109#125—861no—
1110#125—861no—
1111#125—861no—
1112#125—861no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#125—861no—
1120#124—431no—
1121#124—431no—
1122#124—431no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#123—431no—
1127#123—431no—
1128#123—861no—
1129#123—861no—
1130#123—861no—
1131#123—861no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138C22⋊Q8—431no—
1139C22⋊Q8—431no—
1140C22⋊Q8—431no—
1141C22⋊Q8—431no—
1142C22⋊Q8—431no—
1143C22⋊Q8—431no—
1144C22⋊Q8—431no—
1145C22⋊Q8—431no—
1146C22⋊Q8—431no—
1147C22⋊Q8—431no—
1148C22⋊Q8—431no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168#121—431no—
1169#121—431no—
1170#121—431no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#120—861no—
1175#120—861no—
1176C4×Q8—21no—
1177C4×Q8—21no—
1178C4×Q8—431no—
1179C4×Q8—431no—
1180C4×Q8—431no—
1181C4×Q8—431no—
1182C4×Q8—431no—
1183C4×Q8—431no—
1184C4×Q8—431no—
1185C4×Q8—431no—
1186C4×Q8—431no—
1187C4×Q8—861no—
1188C4×Q8—861no—
1189C4×Q8—861no—
1190C4×Q8—861no—
1191C4×Q8—861no—
1192C4×Q8—861no—
1193C4×Q8—861no—
1194C4×Q8—861no—
1195C4×Q8—861no—
1196C4×Q8C22×D4311yescharacteristic
1197C4×Q8C22×D4311yescharacteristic
1198C4×Q8C22×D4311yescharacteristic
1199C4×Q8C22×D4311yescharacteristic
1200C4×Q8C22×D4311yescharacteristic
1201C4×Q8C22×D4311yescharacteristic
1202C4×D4—21no—
1203C4×D4—21no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4C22×D4311yescharacteristic
1221C4×D4C22×D4311yescharacteristic
1222#117—21no—
1223#117—21no—
1224#117—21no—
1225#117—431no—
1226#117—431no—
1227#117—861no—
1228#117—861no—
1229#117—861no—
1230#117—861no—
1231#117—861no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117C22×D4311yescharacteristic
1236#117C22×D4311yescharacteristic
1237C2×C4⋊C4—21no—
1238C2×C4⋊C4—431no—
1239C2×C4⋊C4—431no—
1240C2×C4⋊C4—431no—
1241C2×C4⋊C4—861no—
1242C2×C4⋊C4—861no—
1243C2×C4⋊C4—861no—
1244C2×C4⋊C4C22×D4311yescharacteristic
1245C2×C22⋊C4—861no—
1246C2×C22⋊C4—861no—
1247C2×C22⋊C4—861no—
1248C2×C42—431no—
1249C2×C42—861no—
1250#107—431no—
1251#107—431no—
1252#107—431no—
1253#107—431no—
1254#107—431no—
1255#107—431no—
1256#107C22×D4311yescharacteristic
1257#107C22×D4311yescharacteristic
1258#106—431no—
1259#106—431no—
1260#106—431no—
1261#106—431no—
1262#106—431no—
1263#106—431no—
1264#106C22×D4311yescharacteristic
1265#106C22×D4311yescharacteristic
1266C4⋊C8—431no—
1267C4⋊C8—431no—
1268C4⋊C8—431no—
1269C4⋊C8—431no—
1270C4⋊C8—431no—
1271C4⋊C8—431no—
1272#103—431no—
1273#103—431no—
1274#103—431no—
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#103—431no—
1279#103—431no—
1280#103—431no—
1281#103—431no—
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103C22×D4311yescharacteristic
1291#103C22×D4311yescharacteristic
1292#103C22×D4311yescharacteristic
1293#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
1295#103C22×D4311yescharacteristic
1296#102—431no—
1297#102—431no—
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102C22×D4311yescharacteristic
1303#102C22×D4311yescharacteristic
1304C22⋊C8—431no—
1305C22⋊C8—431no—
1306C22⋊C8—431no—
1307C22⋊C8—431no—
1308C22⋊C8—431no—
1309C22⋊C8—431no—
1310#97—431no—
1311#97—431no—
1312#97C22×D4311yescharacteristic
1313#97C22×D4311yescharacteristic
1314C4×C8—431no—
1315C4×C8—431no—
1316C4×C8—431no—
1317C4×C8—431no—
1318C4×C8C22×D4311yescharacteristic
1319C4×C8C22×D4311yescharacteristic
1320C24—861no—
1321#41—22no—
1322#41—41no—
1323#41—862no—
1324#41—3442no—
1325#41—1721no—
1326C2×Q8—21no—
1327C2×Q8—22no—
1328C2×Q8—41no—
1329C2×Q8—431no—
1330C2×Q8—431no—
1331C2×Q8—431no—
1332C2×Q8—431no—
1333C2×Q8—861no—
1334C2×Q8—861no—
1335C2×Q8—861no—
1336C2×Q8—861no—
1337C2×Q8—861no—
1338C2×Q8—861no—
1339C2×Q8—862no—
1340C2×Q8—862no—
1341C2×Q8—3442no—
1342C2×Q8—1721no—
1343C2×Q8—1721no—
1344C2×Q8C23×D4311yescharacteristic
1345C2×Q8C23×D4311yescharacteristic
1346C2×Q8C23×D4311yescharacteristic
1347C2×D4—21no—
1348C2×D4—431no—
1349C2×D4—431no—
1350C2×D4—431no—
1351C2×D4—431no—
1352C2×D4—861no—
1353C2×D4—861no—
1354C2×D4—862no—
1355C2×D4—861no—
1356C2×D4—861no—
1357C2×D4—1721no—
1358C2×D4C23×D4311yescharacteristic
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—431no—
1365C22×C4—431no—
1366C22×C4—431no—
1367C22×C4—431no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—861no—
1371C22×C4—861no—
1372C22×C4—861no—
1373C22×C4—861no—
1374C22×C4—861no—
1375C22×C4—861no—
1376C22×C4—861no—
1377C22×C4—861no—
1378C22×C4—3442no—
1379C22×C4C23×D4311yescharacteristic
1380Q16—22no—
1381Q16—22no—
1382Q16—862no—
1383Q16—862no—
1384Q16—1721no—
1385Q16—1721no—
1386Q16—1721no—
1387Q16—1721no—
1388SD16—22no—
1389SD16—862no—
1390SD16—862no—
1391SD16—862no—
1392SD16—862no—
1393SD16—1721no—
1394SD16—1721no—
1395SD16#1062189814yescomplemented
1396M16—22no—
1397M16—862no—
1398C2×C8—41no—
1399C2×C8—431no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8—862no—
1404C2×C8—1721no—
1405C2×C8—1721no—
1406C2×C8C23×D4311yescharacteristic
1407C2×C8C23×D4311yescharacteristic
1408C2×C8C23×D4311yescharacteristic
1409C2×C8C23×D4311yescharacteristic
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—431no—
1418C4⋊C4—431no—
1419C4⋊C4—431no—
1420C4⋊C4—431no—
1421C4⋊C4—431no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4D4×D4311yescharacteristic
1467C4⋊C4D4×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C4⋊C4C23×D4311yescharacteristic
1471C4⋊C4C23×D4311yescharacteristic
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—431no—
1476C22⋊C4—431no—
1477C22⋊C4—431no—
1478C22⋊C4—431no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4D4×D4311yescharacteristic
1505C22⋊C4D4×D4311yescharacteristic
1506C42—21no—
1507C42—21no—
1508C42—21no—
1509C42—21no—
1510C42—21no—
1511C42—21no—
1512C42—21no—
1513C42—431no—
1514C42—431no—
1515C42—431no—
1516C42—431no—
1517C42—861no—
1518C42—861no—
1519C42—861no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42C23×D4311yescharacteristic
1527C42C23×D4311yescharacteristic
1528C23—21no—
1529C23—431no—
1530C23—431no—
1531C23—861no—
1532C23—3441no—
1533C23—1722no—
1534C23—1722no—
1535C23C2×D4×D4311yescharacteristic
1536Q8—21no—
1537Q8—21no—
1538Q8—21no—
1539Q8—21no—
1540Q8—21no—
1541Q8—42no—
1542Q8—862no—
1543Q8—861no—
1544Q8—861no—
1545Q8—861no—
1546Q8—861no—
1547Q8—861no—
1548Q8—861no—
1549Q8—3441no—
1550Q8—3441no—
1551Q8—1722no—
1552Q8—1722no—
1553Q8—1722no—
1554Q8—1722no—
1555Q8C2×#1062189812yes—
1556D4—21no—
1557D4—42no—
1558D4—862no—
1559D4—862no—
1560D4—862no—
1561D4—861no—
1562D4—861no—
1563D4—3441no—
1564D4—3441no—
1565D4—1722no—
1566D4—1722no—
1567D4C2×#1062189812yes—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—42no—
1578C2×C4—42no—
1579C2×C4—81no—
1580C2×C4—81no—
1581C2×C4—81no—
1582C2×C4—431no—
1583C2×C4—431no—
1584C2×C4—431no—
1585C2×C4—431no—
1586C2×C4—431no—
1587C2×C4—431no—
1588C2×C4—862no—
1589C2×C4—862no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—861no—
1595C2×C4—861no—
1596C2×C4—861no—
1597C2×C4—861no—
1598C2×C4—861no—
1599C2×C4—861no—
1600C2×C4—861no—
1601C2×C4—3441no—
1602C2×C4—3441no—
1603C2×C4—3441no—
1604C2×C4—3441no—
1605C2×C4—1722no—
1606C2×C4—1722no—
1607C2×C4—1722no—
1608C2×C4—1722no—
1609C2×C4—1722no—
1610C2×C4—1722no—
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C2×D4×D4311yescharacteristic
1614C2×C4C2×D4×D4311yescharacteristic
1615C2×C4C2×D4×D4311yescharacteristic
1616C2×C4C24×D4311yescharacteristic
1617C8—21no—
1618C8—21no—
1619C8—21no—
1620C8—861no—
1621C8—861no—
1622C8—861no—
1623C8—861no—
1624C8C2×#1062189812yes—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—22no—
1629C22—41no—
1630C22—41no—
1631C22—432no—
1632C22—861no—
1633C22—861no—
1634C22—861no—
1635C22—861no—
1636C22—861no—
1637C22—3444no—
1638C22—1721no—
1639C22—1721no—
1640C22—1721no—
1641C22C22×D4×D4311yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—22no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—432no—
1655C4—861no—
1656C4—861no—
1657C4—861no—
1658C4—861no—
1659C4—861no—
1660C4—1721no—
1661C4—1721no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4—1721no—
1667C4C22×#1062189811yescharacteristic
1668C4#1458373511yescharacteristic
1669C2—41no—
1670C2—42no—
1671C2—862no—
1672C2—3441no—
1673C2—1721no—
1674C2D4×#1062189811yescharacteristic
1675C2#577×D4311yescharacteristic
1676C2#578×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#2947C2
socleC22×C43C23×D4
prime radical#19148634C2
hypercenter#2947D43
hypocenterC43#61497
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #2947

Complements

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

NH ≅ G/Ntype
1. #19148685C2semidirect
3. #19147627C2semidirect
4. #19147517C2semidirect
5. #19147281C2semidirect
6. #19147235C2semidirect
7. #19147175C2semidirect
8. #19147055C2semidirect
9. #19147051C2semidirect
10. #19146508C2semidirect
11. #19146473C2semidirect
12. #19146467C2semidirect
13. #19146456C2semidirect
14. #19146435C2semidirect
15. #19146431C2semidirect
16. #19146235C2semidirect
17. #19146107C2semidirect
18. #19146099C2semidirect
19. #19145267C2semidirect
20. #19145263C2semidirect
21. #19145178C2semidirect
22. #19144828C2semidirect
23. #19144824C2semidirect
24. #19144813C2semidirect
25. #19144809C2semidirect
26. #19144723C2semidirect
27. #19144692C2semidirect
28. #19143566C2semidirect
29. #19143431C2semidirect
30. C4×SD16×D43C2semidirect
31. C43×#2947C2semidirect
35. #14583627C22semidirect
36. #14583625C22semidirect
39. #14583617C22semidirect
52. Q8×C22⋊D43C22semidirect
61. #14583511C22semidirect
63. #14583507C22semidirect
74. #14583375C22semidirect
77. #14583308C22semidirect
78. #14583307C22semidirect
79. #14583303C22semidirect
82. #14583277C22semidirect
85. #14583250C22semidirect
86. #14583248C22semidirect
87. #14583248C22semidirect
88. #14583248C22semidirect
89. #14583240C22semidirect
90. #14583239C22semidirect
92. #14583236C22semidirect
93. #14583234C22semidirect
96. #14583229C22semidirect
98. #14583228C22semidirect
101. #14583206C22semidirect
102. #14583205C22semidirect
105. #14583194C22semidirect
106. #14583192C22semidirect
107. #14583184C22semidirect
108. #14583183C22semidirect
109. #14583183C22semidirect
110. #14583182C22semidirect
113. #14583157C22semidirect
114. #14583154C22semidirect
118. #14583140C22semidirect
121. #14583139C22semidirect
129. #14583109C22semidirect
130. #14583108C22semidirect
131. #14583108C22semidirect
132. #14583107C22semidirect
142. #14583055C22semidirect
144. #14583053C22semidirect
149. #14583027C22semidirect
150. C8×Dic86C22semidirect
151. #14583007C22semidirect
152. #14583005C22semidirect
153. #14583004C22semidirect
154. #14583004C22semidirect
159. C4×Dic172C22semidirect
160. C4×#10621885C22semidirect
161. C4×#10621885C22semidirect
162. #14582991C22semidirect
171. #14582975C22semidirect
176. C8×C22⋊D43C22semidirect
177. #14582961C22semidirect
178. #14582960C22semidirect
180. #14582938C22semidirect
184. #103×D43C22semidirect
186. #14582853C22semidirect
190. C43×#519C22semidirect
191. C43×#441C22semidirect
192. C43×#441C22semidirect
195. C4×Q16×C43C22semidirect
196. C4×Q16×C43C22semidirect
199. C43×#428C22semidirect
201. C2×#103×C43C22semidirect
202. C43×#405C22semidirect
544. SD16×C43#41semidirect
860. #2947D43semidirect
915. #519C2×D43semidirect
996. #441C2×D43semidirect
997. #441C2×D43semidirect
1008. C4×Q16C2×D43semidirect
1009. C4×Q16C2×D43semidirect
1030. #428C2×D43semidirect
1036. C2×#103C2×D43semidirect
1039. #405C2×D43semidirect
1041. C43#61497semidirect
1395. SD16#10621898semidirect

Maximal subgroups

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

subgroupindex
#191486852
#191486342
#191476272
#191475172
#191472812
#191472352
#191471752
#191470552
#191470512
#191465082
#191464732
#191464672
#191464562
#191464352
#191464312
#191462352
#191461072
#191460992
#191452672
#191452632
#191451782
#191448282
#191448242
#191448132
#191448092
#191447232
#191446922
#191435662
#191434312
C4×SD16×D432
C43×#29472
#6149743