Finite Group Databasebeta

← #25978207

Subgroups — #25978207

Order 11008.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148173C211yesmaximal, characteristic, complemented
2#19148157C211yesmaximal, characteristic
3#19147621C211yesmaximal, characteristic, complemented
4#19147500C211yesmaximal, characteristic, complemented
5#19147371C211yesmaximal, characteristic, complemented
6#19147338C211yesmaximal, characteristic, complemented
7#19147219C211yesmaximal, characteristic, complemented
8#19147047C211yesmaximal, characteristic, complemented
9#19147043C211yesmaximal, characteristic, complemented
10#19146904C211yesmaximal, characteristic, complemented
11#19146887C211yesmaximal, characteristic, complemented
12#19146673C211yesmaximal, characteristic, complemented
13#19146669C211yesmaximal, characteristic, complemented
14#19146653C211yesmaximal, characteristic, complemented
15#19146649C211yesmaximal, characteristic, complemented
16#19146239C211yesmaximal, characteristic, complemented
17#19146111C211yesmaximal, characteristic, complemented
18#19146103C211yesmaximal, characteristic, complemented
19#19145199C211yesmaximal, characteristic, complemented
20#19145195C211yesmaximal, characteristic, complemented
21#19145178C211yesmaximal, characteristic, complemented
22#19144679C211yesmaximal, characteristic, complemented
23#19144677C211yesmaximal, characteristic, complemented
24#19144662C211yesmaximal, characteristic, complemented
25#19144632C211yesmaximal, characteristic, complemented
26#19144601C211yesmaximal, characteristic, complemented
27#19143559C211yesmaximal, characteristic, complemented
28C4×#13063355C211yesmaximal, characteristic, complemented
29C4×#13063354C211yesmaximal, characteristic, complemented
30C4×SD16×D43C211yesmaximal, characteristic, complemented
31C43×#3107C211yesmaximal, characteristic, complemented
32C2×#13063355C2211yescharacteristic
33C2×#13063354C2211yescharacteristic
34C2×SD16×D43C2211yescharacteristic
35#14583629C2211yescharacteristic, complemented
36#14583626—21no—
37#14583624C2211yescharacteristic, complemented
38#14583621C2211yescharacteristic
39#14583612C2211yescharacteristic
40#14583610C2211yescharacteristic
41#14583608C2211yescharacteristic
42#14583607C2211yescharacteristic
43#14583607C2211yescharacteristic, complemented
44#14583605—21no—
45#14583603—21no—
46#14583603—21no—
47#14583598—21no—
48#14583590C2211yescharacteristic
49#14583588C2211yescharacteristic
50#14583582—21no—
51#14583578—21no—
52#14583573—21no—
53#14583564C2211yescharacteristic
54#14583562C2211yescharacteristic
55#14583562C2211yescharacteristic, complemented
56#14583548C2211yescharacteristic
57#14583544C2211yescharacteristic
58#14583537C2211yescharacteristic
59#14583453—21no—
60#14583453—21no—
61#14583453C2211yescharacteristic
62#14583453C2211yescharacteristic
63#14583453C2211yescharacteristic, complemented
64#14583452—21no—
65#14583436C2211yescharacteristic
66#14583433—21no—
67#14583433C2211yescharacteristic
68#14583429—21no—
69#14583408—21no—
70C4×#10621898C2211yescharacteristic
71#14583367—21no—
72C4×#10621900C2211yescharacteristic
73C2×C4×Dic86C2211yescharacteristic, complemented
74C4×Q8×D43C2211yescharacteristic
75C4×Q8×D43C2211yescharacteristic, complemented
76C4×D4×D43C2211yescharacteristic
77C2×#13063282—21no—
78#14583307C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583303C2211yescharacteristic, complemented
81#14583292C2211yescharacteristic
82#14583291C2211yescharacteristic
83#14583277C2211yescharacteristic, complemented
84#14583267C2211yescharacteristic, complemented
85#14583266C2211yescharacteristic, complemented
86#14583261C2211yescharacteristic
87#14583260C2211yescharacteristic
88#14583248C2211yescharacteristic, complemented
89#14583248C2211yescharacteristic, complemented
90#14583243C2211yescharacteristic, complemented
91#14583239C2211yescharacteristic, complemented
92#14583236C2211yescharacteristic
93#14583233C2211yescharacteristic
94#14583231C2211yescharacteristic
95#14583230C2211yescharacteristic, complemented
96#14583228C2211yescharacteristic
97#14583228C2211yescharacteristic, complemented
98#14583214C2211yescharacteristic
99#14583213C2211yescharacteristic
100#14583207C2211yescharacteristic, complemented
101#14583207C2211yescharacteristic, complemented
102#14583205C2211yescharacteristic, complemented
103#14583204C2211yescharacteristic, complemented
104#14583193C2211yescharacteristic, complemented
105#14583192C2211yescharacteristic, complemented
106#14583188C2211yescharacteristic
107#14583187C2211yescharacteristic
108#14583183C2211yescharacteristic, complemented
109#14583177C2211yescharacteristic
110#14583156C2211yescharacteristic, complemented
111#14583155C2211yescharacteristic, complemented
112#14583155C2211yescharacteristic, complemented
113#14583154C2211yescharacteristic, complemented
114#14583148C2211yescharacteristic
115#14583147C2211yescharacteristic
116#14583147C2211yescharacteristic
117#14583146C2211yescharacteristic
118#14583141C2211yescharacteristic
119#14583139C2211yescharacteristic
120#14583139C2211yescharacteristic
121#14583137C2211yescharacteristic
122#14583124C2211yescharacteristic
123#14583123C2211yescharacteristic
124#14583122C2211yescharacteristic
125#14583122C2211yescharacteristic
126#14583108C2211yescharacteristic, complemented
127#14583108C2211yescharacteristic, complemented
128#14583107C2211yescharacteristic, complemented
129#14583103C2211yescharacteristic
130#14583102C2211yescharacteristic
131#14583102C2211yescharacteristic
132#14583062C2211yescharacteristic
133#14583058C2211yescharacteristic
134#14583057C2211yescharacteristic, complemented
135#14583056C2211yescharacteristic
136#14583053C2211yescharacteristic
137#14583053C2211yescharacteristic, complemented
138#14583051C2211yescharacteristic
139#14583048C2211yescharacteristic
140#14583040C2211yescharacteristic
141#14583039C2211yescharacteristic
142#14583028C2211yescharacteristic, complemented
143#14583028C2211yescharacteristic, complemented
144#14583005C2211yescharacteristic, complemented
145#14583004C2211yescharacteristic, complemented
146#14583004C2211yescharacteristic, complemented
147#14583003C2211yescharacteristic, complemented
148#14583000C2211yescharacteristic
149#14582999C2211yescharacteristic
150#14582999C2211yescharacteristic
151#14582996C2211yescharacteristic
152C4×Dic172C2211yescharacteristic, complemented
153C4×Dic172C2211yescharacteristic, complemented
154C4×#10621885C2211yescharacteristic, complemented
155C4×#10621885C2211yescharacteristic, complemented
156C4×#10621885C2211yescharacteristic, complemented
157C4×#10621885C2211yescharacteristic, complemented
158#14582990C2211yescharacteristic
159C4×#10621873C2211yescharacteristic
160C4×#10621873C2211yescharacteristic
161SD16×Dic43C2211yescharacteristic
162C4×#10621884C2211yescharacteristic
163C4×#10621884C2211yescharacteristic
164#14582986C2211yescharacteristic
165C4×#10621883C2211yescharacteristic
166C4×#10621883C2211yescharacteristic
167#14582984C2211yescharacteristic
168#14582974C2211yescharacteristic, complemented
169#14582974C2211yescharacteristic, complemented
170#14582973C2211yescharacteristic
171#14582973C2211yescharacteristic
172#14582969C2211yescharacteristic
173#14582969C2211yescharacteristic
174#14582950C2211yescharacteristic
175#14582950C2211yescharacteristic, complemented
176#14582942C2211yescharacteristic, complemented
177#14582938C2211yescharacteristic, complemented
178#106×D43C2211yescharacteristic
179#14582907C2211yescharacteristic, complemented
180#14582906C2211yescharacteristic, complemented
181#14582900C2211yescharacteristic
182#14582897C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185C4×#10621877C2211yescharacteristic, complemented
186C4×#10621872C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic
188C43×#533C2211yescharacteristic, complemented
189C4×#41×C43C2211yescharacteristic
190C43×#485C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#475C2211yescharacteristic, complemented
193C43×#474C2211yescharacteristic
194C43×#462C2211yescharacteristic, complemented
195C43×#461C2211yescharacteristic
196C43×#452C2211yescharacteristic
197C43×#452C2211yescharacteristic
198C4×Q16×C43C2211yescharacteristic, complemented
199C4×Q16×C43C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic
201C4×SD16×C43C2211yescharacteristic
202C43×#431C2211yescharacteristic, complemented
203C2×#10621898D411yescharacteristic
204C2×#10621900C2311yescharacteristic
205C22×Dic86C2311yescharacteristic
206C2×Q8×D43C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208C2×D4×D43C2311yescharacteristic
209C22×C4×D43—21no—
210#13063355—24no—
211#13063354—24no—
212C2×Dic172C2311yescharacteristic
213C2×Dic172C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621885C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224SD16×D43—24no—
225C2×#10621877C2311yescharacteristic
226C2×#10621877C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C2×C8×D43C2311yescharacteristic
230C2×C8×D43C2311yescharacteristic
231#13063324—21no—
232#13063324—21no—
233#13063324—21no—
234#13063324—21no—
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063324C2311yescharacteristic
238#13063323—21no—
239#13063323—21no—
240#13063323C2311yescharacteristic
241#13063323C2311yescharacteristic
242#13063323C2311yescharacteristic
243#13063320—21no—
244#13063320—21no—
245#13063319—21no—
246#13063319—21no—
247#13063319—21no—
248#13063318—21no—
249#13063317—21no—
250#13063317C2311yescharacteristic
251#13063316—21no—
252#13063316—21no—
253#13063316C2311yescharacteristic
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315—21no—
261#13063315—21no—
262#13063314C2311yescharacteristic
263#13063313—21no—
264#13063313C2311yescharacteristic
265#13063311—21no—
266#13063310—21no—
267#13063310—21no—
268#13063309—21no—
269#13063308—21no—
270#13063308—21no—
271#13063308—21no—
272#13063307—21no—
273#13063306—21no—
274#13063305—21no—
275#13063305—21no—
276#13063305C2311yescharacteristic
277#13063305C2311yescharacteristic
278#13063305C2311yescharacteristic
279#13063304—21no—
280#13063304C2311yescharacteristic
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#13063302—21no—
294#13063302—21no—
295#13063301—21no—
296#13063301—21no—
297#13063301C2311yescharacteristic
298#13063301C2311yescharacteristic
299#13063301C2311yescharacteristic
300#13063301C2311yescharacteristic
301#13063300C2311yescharacteristic
302#13063299—21no—
303#13063299C2311yescharacteristic
304#13063298—21no—
305#13063297—21no—
306#13063297—21no—
307#13063295—21no—
308#13063293—21no—
309Q8×Dic43C2311yescharacteristic
310Q8×Dic43C2311yescharacteristic
311C4×Dic86—21no—
312C4×Dic86—21no—
313C4×Dic86—21no—
314C4×Dic86—21no—
315C4×Dic86—21no—
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86D411yescharacteristic
319C4×Dic86C2311yescharacteristic
320C4×Dic86C2311yescharacteristic
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325#13063290—21no—
326#13063290—21no—
327#13063290—21no—
328#13063290—21no—
329#13063290C2311yescharacteristic
330#13063290C2311yescharacteristic
331#13063290C2311yescharacteristic
332C4×D172—21no—
333C4×D172D411yescharacteristic
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338#13063287—21no—
339#13063287—21no—
340#13063287C2311yescharacteristic
341C4×C22⋊D43—21no—
342C4×C22⋊D43—21no—
343C4×C22⋊D43—21no—
344C4×C22⋊D43D411yescharacteristic
345C4×C22⋊D43D411yescharacteristic
346C4×C22⋊D43C2311yescharacteristic
347C4×C22⋊D43C2311yescharacteristic
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354#13063284D411yescharacteristic
355#13063283C2311yescharacteristic
356#13063282—21no—
357#13063282—21no—
358#13063282—21no—
359#13063282—21no—
360#13063282—21no—
361#13063282—21no—
362#13063282—21no—
363#13063282—21no—
364#13063282—21no—
365#13063282D411yescharacteristic
366#13063282D411yescharacteristic
367#13063281—21no—
368C2×C4⋊Dic43C2311yescharacteristic
369C2×Dic43⋊C4—21no—
370C2×Dic43⋊C4—21no—
371C2×Dic43⋊C4—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C2×(C2×D43)⋊C4—21no—
378C2×(C2×D43)⋊C4—21no—
379C22⋊C4×D43—21no—
380C2×C4×Dic43—21no—
381C2×C4×Dic43—21no—
382C42×D43—21no—
383C42×D43—21no—
384C42×D43C2311yescharacteristic
385C42×D43C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C2×Q16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C4⋊Q8×C43C2311yescharacteristic
444C4⋊Q8×C43C2311yescharacteristic
445#125×C43—21no—
446C22⋊Q8×C43—21no—
447C22⋊Q8×C43C2311yescharacteristic
448C22⋊Q8×C43C2311yescharacteristic
449C4×Q8×C43—21no—
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×C43C2311yescharacteristic
461C2×C42×C43—21no—
462C2×C42×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×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
477C22⋊C8×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482#41×C43—22no—
483#41×C43—41no—
484C2×Q8×C43—21no—
485C2×Q8×C43C2411yescharacteristic
486C2×Q8×C43C2411yescharacteristic
487C2×Q8×C43C2411yescharacteristic
488C2×D4×C43—21no—
489C2×D4×C43C2411yescharacteristic
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43C2×D411yescharacteristic
494C22×C4×C43C2×D411yescharacteristic
495C22×C4×C43C2411yescharacteristic
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43C2×D411yescharacteristic
500C2×C22⋊D43C2×D411yescharacteristic
501C22×Dic43—21no—
502C22×Dic43—21no—
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—24no—
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—44no—
526C2×C4×D43C2×D411yescharacteristic
527C2×C4×D43C2×D411yescharacteristic
528C2×C4×D43C2×D411yescharacteristic
529C2×C4×D43C2×D411yescharacteristic
530C2×C4×D43C2411yescharacteristic
531C2×C4×D43C2411yescharacteristic
532C2×Dic86—22no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86—21no—
537C2×Dic86—21no—
538C2×Dic86—21no—
539C2×Dic86—41no—
540C2×Dic86C2×D411yescharacteristic
541C2×Dic86C2411yescharacteristic
542C2×Dic86C2411yescharacteristic
543C2×Dic86C2411yescharacteristic
544Q16×C43—41no—
545Q16×C43—41no—
546SD16×C43—22no—
547SD16×C43—22no—
548C2×C8×C43C2411yescharacteristic
549C2×C8×C43C2411yescharacteristic
550C2×C8×C43C2411yescharacteristic
551C2×C8×C43C2411yescharacteristic
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×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C42×C43—21no—
571C42×C43—21no—
572C42×C43—21no—
573C42×C43—21no—
574C42×C43—21no—
575C42×C43C2×D411yescharacteristic
576C42×C43C2×D411yescharacteristic
577C42×C43C2411yescharacteristic
578C42×C43C2411yescharacteristic
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43C2×D411yescharacteristic
583C22⋊Dic43C2×D411yescharacteristic
584#10621885—22no—
585#10621885—22no—
586#10621885—22no—
587#10621885—41no—
588#10621884—22no—
589#10621884—41no—
590#10621883—22no—
591#10621883#4114yescomplemented
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—
608(C2×D43)⋊C4C2×D411yescharacteristic
609(C2×D43)⋊C4C2×D411yescharacteristic
610(C2×D43)⋊C4C2×D411yescharacteristic
611(C2×D43)⋊C4C2×D411yescharacteristic
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43C2×D411yescharacteristic
620C4⋊Dic43C2×D411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊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⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43C2×D411yescharacteristic
669C4×Dic43C2×D411yescharacteristic
670C4×Dic43C2×D411yescharacteristic
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2411yescharacteristic
673C4×Dic43C2411yescharacteristic
674#10621877—22no—
675#10621877—41no—
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680Dic172—22no—
681Dic172—41no—
682#10621873—22no—
683#10621873—41no—
684#10621872—22no—
685#10621872—41no—
686C8×D43—22no—
687C8×D43—41no—
688C23×C43—21no—
689C23×C43C22×D411yescharacteristic
690C22×D43—21no—
691C22×D43—42no—
692C22×D43—42no—
693C22×D43—81no—
694C22×D43C22×D411yescharacteristic
695C22×D43C22×D411yescharacteristic
696Q8×C43—21no—
697Q8×C43—21no—
698Q8×C43—21no—
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—21no—
702Q8×C43—81no—
703D4×C43—21no—
704D4×C43—42no—
705D4×C43C2×#4112yes—
706C2×C4×C43—22no—
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—41no—
717C2×C4×C43—42no—
718C2×C4×C43—42no—
719C2×C4×C43—81no—
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C2511yescharacteristic
726C22⋊D43—22no—
727C22⋊D43—22no—
728C22⋊D43—42no—
729C22⋊D43—42no—
730C22⋊D43—81no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—42no—
739C2×Dic43—42no—
740C2×Dic43—42no—
741C2×Dic43—81no—
742C2×Dic43—81no—
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749D172—22no—
750D172—21no—
751D172—21no—
752D172—81no—
753C4×D43—22no—
754C4×D43—21no—
755C4×D43—21no—
756C4×D43—21no—
757C4×D43—21no—
758C4×D43—41no—
759C4×D43—41no—
760C4×D43—42no—
761C4×D43—42no—
762C4×D43—42no—
763C4×D43—42no—
764C4×D43—42no—
765C4×D43—81no—
766C4×D43—81no—
767C4×D43#13714yescomplemented
768Dic86—21no—
769Dic86—22no—
770Dic86—21no—
771Dic86—21no—
772Dic86—21no—
773Dic86—21no—
774Dic86—42no—
775Dic86—42no—
776Dic86—42no—
777Dic86—81no—
778Dic86—81no—
779Dic86—81no—
780Dic86C2×#4112yes—
781C8×C43—21no—
782C8×C43—21no—
783C8×C43—21no—
784C8×C43—21no—
785C43⋊C8—21no—
786C43⋊C8—21no—
787C43⋊C8—21no—
788C43⋊C8C2×#4112yes—
789#61438—431nomaximal, Sylow
790C22×C43—21no—
791C22×C43—22no—
792C22×C43—21no—
793C22×C43—21no—
794C22×C43—41no—
795C22×C43—41no—
796C22×C43C23×D411yescharacteristic
797C2×D43—21no—
798C2×D43—21no—
799C2×D43—21no—
800C2×D43—21no—
801C2×D43—21no—
802C2×D43—41no—
803C2×D43—41no—
804C2×D43—41no—
805C2×D43—84no—
806C2×D43C2×#13712yes—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—21no—
810C4×C43—21no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43—41no—
817C4×C43—41no—
818C4×C43C2×#13712yes—
819C4×C43C22×#4111yescharacteristic
820C4×C43#58511yescharacteristic
821Dic43—21no—
822Dic43—21no—
823Dic43—22no—
824Dic43—21no—
825Dic43—21no—
826Dic43—21no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830Dic43—41no—
831Dic43—41no—
832Dic43—41no—
833Dic43C2×#13712yes—
834Q8×#41—431no—
835#3475—431no—
836#3398—431no—
837#3385—431no—
838#3372—431no—
839#3369—431no—
840#3357—431no—
841#3344—431no—
842#3344—431no—
843#3331—431no—
844#3329—431no—
845#3314—431no—
846#3314—431no—
847#3312—431no—
848#3312—431no—
849#3276—431no—
850#3266—431no—
851#3266—431no—
852#3172—431no—
853#3172—431no—
854#3170—431no—
855#3108—431no—
856#3108—431no—
857#3107—431no—
858#3107D4311yescharacteristic, complemented
859#3104—431no—
860#3101—431no—
861#2965—431no—
862C4×#137—431no—
863C4×#137—431no—
864C2×C4×SD16—431no—
865C2×C43—42no—
866C2×C43—41no—
867C2×C43D4×#4111yescharacteristic
868C2×C43C22×#13711yescharacteristic
869C2×C43#358411yescharacteristic
870D43—22no—
871D43—41no—
872D43—81no—
873C2×#137—431no—
874C2×#137—431no—
875C22×SD16—431no—
876Q82—431no—
877#557—431no—
878#557—861no—
879#556—431no—
880#555—431no—
881#554—431no—
882#554—431no—
883#554—431no—
884#554—431no—
885#554—861no—
886#554—861no—
887#554—861no—
888#553—861no—
889#552—431no—
890#552—431no—
891#552—861no—
892#551—861no—
893#551—861no—
894D4×Q8—431no—
895D4×Q8—431no—
896D4×Q8—431no—
897#547—431no—
898#546—431no—
899#546—431no—
900#533—431no—
901#533—431no—
902#533—431no—
903#533—861no—
904#533—861no—
905#533—861no—
906#533C2×D4311yescharacteristic, complemented
907#529—431no—
908#529—431no—
909#529—861no—
910#529—861no—
911#525—861no—
912C4×#41—431no—
913C4×#41—431no—
914C4×#41—861no—
915C4×#41C2×D4311yescharacteristic
916C2×C4×Q8—431no—
917C2×C4×Q8—431no—
918C2×C4×Q8—431no—
919C2×C4×D4—431no—
920C2×#117—861no—
921#501—431no—
922#501—431no—
923#500—431no—
924#497—431no—
925#497—431no—
926#494—431no—
927#491—431no—
928#491—431no—
929#489—431no—
930#489—431no—
931#487—431no—
932#487—431no—
933#485—431no—
934#485—431no—
935#485C2×D4311yescharacteristic, complemented
936#485C2×D4311yescharacteristic, complemented
937#484—431no—
938#484—431no—
939#483—431no—
940#483—431no—
941#483—431no—
942#483—431no—
943#480—431no—
944#480—431no—
945#479—431no—
946#479—431no—
947#479—431no—
948#479—431no—
949#477—431no—
950#477—431no—
951#476—431no—
952#476—431no—
953#475—431no—
954#475C2×D4311yescharacteristic, complemented
955#474—431no—
956#474C2×D4311yescharacteristic
957#470—431no—
958#470—431no—
959#470—431no—
960#470—431no—
961#468—431no—
962#468—431no—
963#468—431no—
964#468—431no—
965#467—431no—
966#467—431no—
967#467—431no—
968#467—431no—
969#464—431no—
970#464—431no—
971#464—431no—
972#464—431no—
973#462—431no—
974#462—431no—
975#462—431no—
976#462C2×D4311yescharacteristic, complemented
977#461—431no—
978#461—431no—
979#461—431no—
980#461C2×D4311yescharacteristic
981#452—431no—
982#452—431no—
983#452C2×D4311yescharacteristic
984#452C2×D4311yescharacteristic
985#451—431no—
986#451—431no—
987#451—431no—
988#451—431no—
989#450—431no—
990#450—431no—
991#448—431no—
992#448—431no—
993#446—431no—
994#446—431no—
995#441—431no—
996#441—431no—
997#441—431no—
998#441—431no—
999#440—431no—
1000#440—431no—
1001#440—431no—
1002#440—431no—
1003C4×Q16—431no—
1004C4×Q16—431no—
1005C4×Q16—431no—
1006C4×Q16—431no—
1007C4×Q16—431no—
1008C4×Q16—431no—
1009C4×Q16C2×D4311yescharacteristic, complemented
1010C4×Q16C2×D4311yescharacteristic, complemented
1011C4×SD16—431no—
1012C4×SD16—431no—
1013C4×SD16—431no—
1014C4×SD16—431no—
1015C4×SD16—431no—
1016C4×SD16—431no—
1017C4×SD16—431no—
1018C4×SD16—431no—
1019C4×SD16—431no—
1020C4×SD16—431no—
1021C4×SD16C2×D4311yescharacteristic
1022C4×SD16C2×D4311yescharacteristic
1023#436—431no—
1024#436—431no—
1025#435—431no—
1026#435—431no—
1027#435—431no—
1028#435—431no—
1029#431—431no—
1030#431—431no—
1031#431C2×D4311yescharacteristic, complemented
1032#428—431no—
1033#428—431no—
1034C2×#106—431no—
1035#419—431no—
1036#419—431no—
1037#417—431no—
1038#417—431no—
1039C2×#103—431no—
1040C2×#102—431no—
1041C4×M16—431no—
1042C4×M16—431no—
1043C2×C4×C8—431no—
1044C43#6143811yescharacteristic, complemented, Sylow
1045C2×#41—431no—
1046C2×#41—431no—
1047C2×#41C22×D4311yescharacteristic
1048C22×Q8—431no—
1049C22×Q8—431no—
1050C22×Q8—431no—
1051C22×D4—431no—
1052C23×C4—861no—
1053#137—864no—
1054#137—864no—
1055C2×Q16—431no—
1056C2×Q16—431no—
1057C2×Q16—431no—
1058C2×Q16—431no—
1059C2×Q16—431no—
1060C2×Q16—431no—
1061C2×Q16C22×D4311yescharacteristic
1062C2×Q16C22×D4311yescharacteristic
1063C2×SD16—431no—
1064C2×SD16—431no—
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16—431no—
1068C2×SD16—431no—
1069C2×SD16—864no—
1070C2×SD16C22×D4311yescharacteristic
1071C2×SD16C22×D4311yescharacteristic
1072C2×M16—431no—
1073C2×M16—431no—
1074C2×M16—431no—
1075C2×M16—431no—
1076C22×C8—431no—
1077C22×C8—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—
1088C4⋊Q8—861no—
1089C4⋊Q8—861no—
1090C4⋊Q8C22×D4311yescharacteristic
1091C4⋊Q8C22×D4311yescharacteristic
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#125—21no—
1099#125—431no—
1100#125—431no—
1101#125—861no—
1102#125—861no—
1103#125—861no—
1104#125—861no—
1105#125—861no—
1106#125—861no—
1107#125—861no—
1108#125—861no—
1109#125—861no—
1110#125—861no—
1111#125—861no—
1112#124—431no—
1113#124—431no—
1114#124—861no—
1115#124—861no—
1116#123—861no—
1117#123—861no—
1118#123—861no—
1119#123—861no—
1120#123—861no—
1121#123—861no—
1122#123—861no—
1123#123—861no—
1124C22⋊Q8—21no—
1125C22⋊Q8—431no—
1126C22⋊Q8—431no—
1127C22⋊Q8—431no—
1128C22⋊Q8—431no—
1129C22⋊Q8—431no—
1130C22⋊Q8—431no—
1131C22⋊Q8—431no—
1132C22⋊Q8—431no—
1133C22⋊Q8—861no—
1134C22⋊Q8—861no—
1135C22⋊Q8—861no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8—861no—
1152C22⋊Q8C22×D4311yescharacteristic
1153C22⋊Q8C22×D4311yescharacteristic
1154#121—431no—
1155#121—431no—
1156#121—861no—
1157#121—861no—
1158#121—861no—
1159#121—861no—
1160#120—861no—
1161#120—861no—
1162C4×Q8—21no—
1163C4×Q8—431no—
1164C4×Q8—431no—
1165C4×Q8—431no—
1166C4×Q8—431no—
1167C4×Q8—431no—
1168C4×Q8—431no—
1169C4×Q8—431no—
1170C4×Q8—431no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—861no—
1176C4×Q8—861no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×Q8—861no—
1180C4×Q8—861no—
1181C4×Q8—861no—
1182C4×Q8—861no—
1183C4×Q8—861no—
1184C4×Q8—861no—
1185C4×Q8—861no—
1186C4×Q8C22×D4311yescharacteristic
1187C4×Q8C22×D4311yescharacteristic
1188C4×Q8C22×D4311yescharacteristic
1189C4×Q8C22×D4311yescharacteristic
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—431no—
1193C4×D4—431no—
1194C4×D4—431no—
1195C4×D4—431no—
1196C4×D4—431no—
1197C4×D4—431no—
1198C4×D4—431no—
1199C4×D4—431no—
1200C4×D4—431no—
1201C4×D4—431no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4—861no—
1206C4×D4—861no—
1207C4×D4—861no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4C22×D4311yescharacteristic
1215C4×D4C22×D4311yescharacteristic
1216#117—21no—
1217#117—21no—
1218#117—431no—
1219#117—431no—
1220#117—431no—
1221#117—431no—
1222#117—861no—
1223#117—861no—
1224#117—861no—
1225#117—861no—
1226#117—861no—
1227#117—861no—
1228#117—861no—
1229#117—861no—
1230#117—861no—
1231#117—861no—
1232#117C22×D4311yescharacteristic
1233C2×C4⋊C4—431no—
1234C2×C4⋊C4—431no—
1235C2×C4⋊C4—431no—
1236C2×C4⋊C4—431no—
1237C2×C4⋊C4—861no—
1238C2×C4⋊C4—861no—
1239C2×C4⋊C4—861no—
1240C2×C4⋊C4—861no—
1241C2×C4⋊C4—861no—
1242C2×C22⋊C4—861no—
1243C2×C22⋊C4—861no—
1244C2×C22⋊C4—861no—
1245C2×C42—21no—
1246C2×C42—431no—
1247C2×C42—431no—
1248C2×C42—861no—
1249C2×C42—861no—
1250C2×C42—861no—
1251C2×C42—861no—
1252C2×C42C22×D4311yescharacteristic
1253#107—431no—
1254#107—431no—
1255#107—431no—
1256#107—431no—
1257#107—431no—
1258#107—431no—
1259#107C22×D4311yescharacteristic
1260#107C22×D4311yescharacteristic
1261#106—431no—
1262#106—431no—
1263#106—431no—
1264#106—431no—
1265#106—431no—
1266#106—431no—
1267#106C22×D4311yescharacteristic
1268#106C22×D4311yescharacteristic
1269C4⋊C8—431no—
1270C4⋊C8—431no—
1271C4⋊C8—431no—
1272C4⋊C8—431no—
1273C4⋊C8C22×D4311yescharacteristic
1274C4⋊C8C22×D4311yescharacteristic
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#103—431no—
1291#103—431no—
1292#103—431no—
1293#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
1295#103C22×D4311yescharacteristic
1296#103C22×D4311yescharacteristic
1297#103C22×D4311yescharacteristic
1298#103C22×D4311yescharacteristic
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102C22×D4311yescharacteristic
1306#102C22×D4311yescharacteristic
1307C22⋊C8—431no—
1308C22⋊C8—431no—
1309C22⋊C8—431no—
1310C22⋊C8—431no—
1311C22⋊C8C22×D4311yescharacteristic
1312C22⋊C8C22×D4311yescharacteristic
1313#97—431no—
1314#97—431no—
1315#97—431no—
1316#97—431no—
1317C4×C8—431no—
1318C4×C8—431no—
1319C4×C8—431no—
1320C4×C8—431no—
1321C4×C8C22×D4311yescharacteristic
1322C4×C8C22×D4311yescharacteristic
1323C24—861no—
1324#41—22no—
1325#41—41no—
1326#41—864no—
1327#41—862no—
1328#41—1721no—
1329C2×Q8—21no—
1330C2×Q8—431no—
1331C2×Q8—431no—
1332C2×Q8—431no—
1333C2×Q8—431no—
1334C2×Q8—861no—
1335C2×Q8—861no—
1336C2×Q8—861no—
1337C2×Q8—861no—
1338C2×Q8—861no—
1339C2×Q8—862no—
1340C2×Q8—861no—
1341C2×Q8—862no—
1342C2×Q8—862no—
1343C2×Q8—1721no—
1344C2×Q8—1721no—
1345C2×Q8—1721no—
1346C2×Q8C23×D4311yescharacteristic
1347C2×Q8C23×D4311yescharacteristic
1348C2×Q8C23×D4311yescharacteristic
1349C2×D4—21no—
1350C2×D4—431no—
1351C2×D4—431no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—861no—
1355C2×D4—861no—
1356C2×D4—862no—
1357C2×D4—861no—
1358C2×D4—861no—
1359C2×D4—1721no—
1360C2×D4C23×D4311yescharacteristic
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—431no—
1365C22×C4—431no—
1366C22×C4—431no—
1367C22×C4—431no—
1368C22×C4—431no—
1369C22×C4—431no—
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—861no—
1379C22×C4—861no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—1724no—
1383C22×C4D4×D4311yescharacteristic
1384C22×C4D4×D4311yescharacteristic
1385C22×C4C23×D4311yescharacteristic
1386Q16—41no—
1387Q16—41no—
1388Q16—862no—
1389Q16—862no—
1390Q16—862no—
1391Q16—862no—
1392Q16—1721no—
1393Q16—1721no—
1394SD16—22no—
1395SD16—22no—
1396SD16—434no—
1397SD16—862no—
1398SD16—862no—
1399SD16—862no—
1400SD16—1721no—
1401SD16—1721no—
1402M16—862no—
1403M16—862no—
1404M16—1721no—
1405M16—1721no—
1406C2×C8—431no—
1407C2×C8—431no—
1408C2×C8—431no—
1409C2×C8—431no—
1410C2×C8—862no—
1411C2×C8—1721no—
1412C2×C8C23×D4311yescharacteristic
1413C2×C8C23×D4311yescharacteristic
1414C2×C8C23×D4311yescharacteristic
1415C2×C8C23×D4311yescharacteristic
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—431no—
1433C4⋊C4—431no—
1434C4⋊C4—431no—
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⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4C23×D4311yescharacteristic
1471C4⋊C4C23×D4311yescharacteristic
1472C4⋊C4C23×D4311yescharacteristic
1473C4⋊C4C23×D4311yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—431no—
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—
1504C42—21no—
1505C42—21no—
1506C42—21no—
1507C42—21no—
1508C42—21no—
1509C42—431no—
1510C42—431no—
1511C42—431no—
1512C42—431no—
1513C42—431no—
1514C42—431no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42—861no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42D4×D4311yescharacteristic
1527C42D4×D4311yescharacteristic
1528C42C23×D4311yescharacteristic
1529C42C23×D4311yescharacteristic
1530C23—21no—
1531C23—431no—
1532C23—431no—
1533C23—861no—
1534C23—3441no—
1535C23—1722no—
1536C23—1722no—
1537C23C2×D4×D4311yescharacteristic
1538Q8—21no—
1539Q8—21no—
1540Q8—21no—
1541Q8—21no—
1542Q8—21no—
1543Q8—21no—
1544Q8—81no—
1545Q8—432no—
1546Q8—862no—
1547Q8—861no—
1548Q8—861no—
1549Q8—861no—
1550Q8—861no—
1551Q8—861no—
1552Q8—3441no—
1553Q8—3441no—
1554Q8—3441no—
1555Q8—1722no—
1556Q8—1722no—
1557Q8—1722no—
1558D4—21no—
1559D4—42no—
1560D4—862no—
1561D4—862no—
1562D4—862no—
1563D4—861no—
1564D4—861no—
1565D4—3441no—
1566D4—3441no—
1567D4—1722no—
1568D4—1722no—
1569D4#41×D4312yes—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—41no—
1581C2×C4—42no—
1582C2×C4—42no—
1583C2×C4—81no—
1584C2×C4—431no—
1585C2×C4—434no—
1586C2×C4—431no—
1587C2×C4—431no—
1588C2×C4—431no—
1589C2×C4—431no—
1590C2×C4—431no—
1591C2×C4—861no—
1592C2×C4—862no—
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—861no—
1602C2×C4—861no—
1603C2×C4—3441no—
1604C2×C4—3441no—
1605C2×C4—3441no—
1606C2×C4—3441no—
1607C2×C4—1721no—
1608C2×C4—1721no—
1609C2×C4—1722no—
1610C2×C4—1722no—
1611C2×C4—1722no—
1612C2×C4—1722no—
1613C2×C4—1722no—
1614C2×C4—1722no—
1615C2×C4—1722no—
1616C2×C4—1722no—
1617C2×C4C2×D4×D4311yescharacteristic
1618C2×C4C2×D4×D4311yescharacteristic
1619C2×C4C2×D4×D4311yescharacteristic
1620C2×C4C2×D4×D4311yescharacteristic
1621C2×C4C2×D4×D4311yescharacteristic
1622C2×C4C24×D4311yescharacteristic
1623C8—21no—
1624C8—21no—
1625C8—21no—
1626C8—21no—
1627C8—432no—
1628C8—861no—
1629C8—861no—
1630C8—861no—
1631C22—21no—
1632C22—21no—
1633C22—22no—
1634C22—21no—
1635C22—41no—
1636C22—41no—
1637C22—432no—
1638C22—861no—
1639C22—861no—
1640C22—861no—
1641C22—861no—
1642C22—861no—
1643C22—3444no—
1644C22—1721no—
1645C22—1721no—
1646C22—1721no—
1647C22C22×D4×D4311yescharacteristic
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—432no—
1660C4—861no—
1661C4—861no—
1662C4—861no—
1663C4—862no—
1664C4—861no—
1665C4—861no—
1666C4—1721no—
1667C4—1721no—
1668C4—1721no—
1669C4—1721no—
1670C4—1721no—
1671C4—1721no—
1672C4#137×D4312yes—
1673C4C2×#41×D4311yescharacteristic
1674C4#1458373511yescharacteristic
1675C2—41no—
1676C2—42no—
1677C2—862no—
1678C2—3441no—
1679C2—1721no—
1680C2#1914807811yescharacteristic
1681C2C2×#137×D4311yescharacteristic
1682C2#1914936411yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3107C2
socleC22×C43C23×D4
prime radical#19148157C2
hypercenter#3107D43
hypocenterC43#61438
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3107

Complements

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

NH ≅ G/Ntype
1. #19148173C2semidirect
3. #19147621C2semidirect
4. #19147500C2semidirect
5. #19147371C2semidirect
6. #19147338C2semidirect
7. #19147219C2semidirect
8. #19147047C2semidirect
9. #19147043C2semidirect
10. #19146904C2semidirect
11. #19146887C2semidirect
12. #19146673C2semidirect
13. #19146669C2semidirect
14. #19146653C2semidirect
15. #19146649C2semidirect
16. #19146239C2semidirect
17. #19146111C2semidirect
18. #19146103C2semidirect
19. #19145199C2semidirect
20. #19145195C2semidirect
21. #19145178C2semidirect
22. #19144679C2semidirect
23. #19144677C2semidirect
24. #19144662C2semidirect
25. #19144632C2semidirect
26. #19144601C2semidirect
27. #19143559C2semidirect
28. C4×#13063355C2semidirect
29. C4×#13063354C2semidirect
30. C4×SD16×D43C2semidirect
31. C43×#3107C2semidirect
35. #14583629C22semidirect
37. #14583624C22semidirect
43. #14583607C22semidirect
55. #14583562C22semidirect
63. #14583453C22semidirect
73. C2×C4×Dic86C22semidirect
75. C4×Q8×D43C22semidirect
78. #14583307C22semidirect
79. #14583305C22semidirect
80. #14583303C22semidirect
83. #14583277C22semidirect
84. #14583267C22semidirect
85. #14583266C22semidirect
88. #14583248C22semidirect
89. #14583248C22semidirect
90. #14583243C22semidirect
91. #14583239C22semidirect
95. #14583230C22semidirect
97. #14583228C22semidirect
100. #14583207C22semidirect
101. #14583207C22semidirect
102. #14583205C22semidirect
103. #14583204C22semidirect
104. #14583193C22semidirect
105. #14583192C22semidirect
108. #14583183C22semidirect
110. #14583156C22semidirect
111. #14583155C22semidirect
112. #14583155C22semidirect
113. #14583154C22semidirect
126. #14583108C22semidirect
127. #14583108C22semidirect
128. #14583107C22semidirect
134. #14583057C22semidirect
137. #14583053C22semidirect
142. #14583028C22semidirect
143. #14583028C22semidirect
144. #14583005C22semidirect
145. #14583004C22semidirect
146. #14583004C22semidirect
147. #14583003C22semidirect
152. C4×Dic172C22semidirect
153. C4×Dic172C22semidirect
154. C4×#10621885C22semidirect
155. C4×#10621885C22semidirect
156. C4×#10621885C22semidirect
157. C4×#10621885C22semidirect
168. #14582974C22semidirect
169. #14582974C22semidirect
175. #14582950C22semidirect
176. #14582942C22semidirect
177. #14582938C22semidirect
179. #14582907C22semidirect
180. #14582906C22semidirect
185. C4×#10621877C22semidirect
186. C4×#10621872C22semidirect
188. C43×#533C22semidirect
190. C43×#485C22semidirect
191. C43×#485C22semidirect
192. C43×#475C22semidirect
194. C43×#462C22semidirect
198. C4×Q16×C43C22semidirect
199. C4×Q16×C43C22semidirect
202. C43×#431C22semidirect
591. #10621883#41semidirect
767. C4×D43#137semidirect
858. #3107D43semidirect
906. #533C2×D43semidirect
935. #485C2×D43semidirect
936. #485C2×D43semidirect
954. #475C2×D43semidirect
976. #462C2×D43semidirect
1009. C4×Q16C2×D43semidirect
1010. C4×Q16C2×D43semidirect
1031. #431C2×D43semidirect
1044. C43#61438semidirect

Maximal subgroups

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

subgroupindex
#191481732
#191481572
#191476212
#191475002
#191473712
#191473382
#191472192
#191470472
#191470432
#191469042
#191468872
#191466732
#191466692
#191466532
#191466492
#191462392
#191461112
#191461032
#191451992
#191451952
#191451782
#191446792
#191446772
#191446622
#191446322
#191446012
#191435592
C4×#130633552
C4×#130633542
C4×SD16×D432
C43×#31072
#6143843