Finite Group Databasebeta

← #25977955

Subgroups — #25977955

Order 11008.

1868 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148488C211yesmaximal, characteristic, complemented
2#19148461C211yesmaximal, characteristic, complemented
3#19147684C211yesmaximal, characteristic, complemented
4#19147679C211yesmaximal, characteristic, complemented
5#19147675C211yesmaximal, characteristic, complemented
6#19147669C211yesmaximal, characteristic, complemented
7#19147664C211yesmaximal, characteristic, complemented
8#19147663C211yesmaximal, characteristic, complemented
9#19147660C211yesmaximal, characteristic, complemented
10#19147654C211yesmaximal, characteristic, complemented
11#19147643C211yesmaximal, characteristic, complemented
12#19147623C211yesmaximal, characteristic, complemented
13#19147622C211yesmaximal, characteristic, complemented
14#19147596C211yesmaximal, characteristic, complemented
15#19147586C211yesmaximal, characteristic, complemented
16#19147583C211yesmaximal, characteristic, complemented
17#19147582C211yesmaximal, characteristic, complemented
18#19145087C211yesmaximal, characteristic, complemented
19#19145064C211yesmaximal, characteristic, complemented
20#19145058C211yesmaximal, characteristic, complemented
21#19144148C211yesmaximal, characteristic, complemented
22#19144131C211yesmaximal, characteristic, complemented
23#19144120C211yesmaximal, characteristic, complemented
24#19144102C211yesmaximal, characteristic, complemented
25#19144051C211yesmaximal, characteristic, complemented
26#464×D43C211yesmaximal, characteristic, complemented
27#19143540C211yesmaximal, characteristic, complemented
28#19143433C211yesmaximal, characteristic, complemented
29#19143426C211yesmaximal, characteristic, complemented
30#19143417C211yesmaximal, characteristic, complemented
31C43×#3400C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063357C2211yescharacteristic
34C2×#13063354C2211yescharacteristic
35C2×#13063352C2211yescharacteristic
36C2×#13063352C2211yescharacteristic
37C2×#13063346C2211yescharacteristic
38C2×#13063346C2211yescharacteristic
39C2×Q16×D43C2211yescharacteristic
40C2×SD16×D43C2211yescharacteristic
41#14583635C2211yescharacteristic
42#14583634C2211yescharacteristic, complemented
43#14583634C2211yescharacteristic, complemented
44#14583632C2211yescharacteristic
45#14583631C2211yescharacteristic
46#14583624C2211yescharacteristic, complemented
47#14583623C2211yescharacteristic, complemented
48#14583623C2211yescharacteristic, complemented
49#14583622C2211yescharacteristic
50#14583621—21no—
51#14583621C2211yescharacteristic
52#14583621C2211yescharacteristic, complemented
53#14583621C2211yescharacteristic, complemented
54#14583619C2211yescharacteristic
55#14583618C2211yescharacteristic
56#14583605—21no—
57#14583581—21no—
58#14583581—21no—
59#14583579—21no—
60#14583578—21no—
61#14583577—21no—
62#14583572—21no—
63#14583517—21no—
64#14583513—21no—
65#14583497—21no—
66#14583497—21no—
67#14583474C2211yescharacteristic
68#14583474C2211yescharacteristic
69#14583469C2211yescharacteristic
70#14583462C2211yescharacteristic
71#14583453C2211yescharacteristic
72#14583450C2211yescharacteristic
73#14583436—21no—
74#14583434—21no—
75#14583429—21no—
76#14583426—21no—
77#124×D43C2211yescharacteristic
78#14583381C2211yescharacteristic
79#14583381C2211yescharacteristic
80#14583375C2211yescharacteristic
81#14583371C2211yescharacteristic
82C4×#10621900C2211yescharacteristic
83C4×Q8×D43C2211yescharacteristic
84#14583293C2211yescharacteristic, complemented
85#14583292C2211yescharacteristic, complemented
86#14583291C2211yescharacteristic
87#14583291C2211yescharacteristic
88#14583290C2211yescharacteristic
89#14583290C2211yescharacteristic, complemented
90#14583289C2211yescharacteristic
91#14583288C2211yescharacteristic
92#14583286C2211yescharacteristic
93#14583285C2211yescharacteristic
94#14583284C2211yescharacteristic
95#14583284C2211yescharacteristic
96#14583283C2211yescharacteristic
97#14583281C2211yescharacteristic, complemented
98#14583280C2211yescharacteristic
99#14583280C2211yescharacteristic
100#14583280C2211yescharacteristic
101#14583280C2211yescharacteristic, complemented
102#14583278C2211yescharacteristic, complemented
103#14583277C2211yescharacteristic, complemented
104#14583270C2211yescharacteristic
105#14583124C2211yescharacteristic
106#14583124C2211yescharacteristic, complemented
107#14583124C2211yescharacteristic, complemented
108#14583124C2211yescharacteristic, complemented
109#14583123C2211yescharacteristic
110#14583123C2211yescharacteristic, complemented
111#14583122C2211yescharacteristic
112#14583122C2211yescharacteristic, complemented
113#14583121C2211yescharacteristic
114#14583121C2211yescharacteristic
115#14583121C2211yescharacteristic, complemented
116#14583120C2211yescharacteristic
117#14583119C2211yescharacteristic
118#14583119C2211yescharacteristic
119#14583119C2211yescharacteristic, complemented
120#14583118C2211yescharacteristic
121#14583117C2211yescharacteristic
122#14583116C2211yescharacteristic
123#14583116C2211yescharacteristic, complemented
124#14583116C2211yescharacteristic, complemented
125#14583115C2211yescharacteristic
126#14583115C2211yescharacteristic
127#14583114C2211yescharacteristic
128#14583113C2211yescharacteristic
129#14583113C2211yescharacteristic, complemented
130#14583111C2211yescharacteristic, complemented
131#14583109C2211yescharacteristic, complemented
132#14583108C2211yescharacteristic, complemented
133#14583107C2211yescharacteristic, complemented
134#14583107C2211yescharacteristic, complemented
135#14583106C2211yescharacteristic, complemented
136#14583106C2211yescharacteristic, complemented
137#14583105C2211yescharacteristic, complemented
138#14583103C2211yescharacteristic
139#14583103C2211yescharacteristic, complemented
140#14583102C2211yescharacteristic
141#14583101C2211yescharacteristic
142#14583100C2211yescharacteristic, complemented
143#14583097C2211yescharacteristic
144#14583094C2211yescharacteristic, complemented
145#14583093C2211yescharacteristic
146#14583091C2211yescharacteristic
147#14583030C2211yescharacteristic, complemented
148#14583028C2211yescharacteristic, complemented
149#14583028C2211yescharacteristic, complemented
150#14583027C2211yescharacteristic, complemented
151#14583027C2211yescharacteristic, complemented
152C8×Dic86C2211yescharacteristic, complemented
153#14583023C2211yescharacteristic, complemented
154#14583012C2211yescharacteristic
155#14583008C2211yescharacteristic
156#14583007C2211yescharacteristic, complemented
157#14583006C2211yescharacteristic, complemented
158#14583004C2211yescharacteristic, complemented
159#14583004C2211yescharacteristic, complemented
160#14583002C2211yescharacteristic
161#14582999C2211yescharacteristic, complemented
162#14582998C2211yescharacteristic, complemented
163#14582997C2211yescharacteristic, complemented
164#14582993C2211yescharacteristic, complemented
165#14582991C2211yescharacteristic, complemented
166#14582991C2211yescharacteristic, complemented
167#14582990C2211yescharacteristic, complemented
168C4×#10621873C2211yescharacteristic, complemented
169SD16×Dic43C2211yescharacteristic
170SD16×Dic43C2211yescharacteristic, complemented
171C4×#10621884C2211yescharacteristic
172#14582984C2211yescharacteristic, complemented
173#14582981C2211yescharacteristic
174C4×#10621882C2211yescharacteristic
175#14582940C2211yescharacteristic
176#14582924C2211yescharacteristic
177#14582924C2211yescharacteristic
178C4⋊C8×D43C2211yescharacteristic
179#14582906C2211yescharacteristic
180#14582897C2211yescharacteristic
181#14582894C2211yescharacteristic
182#14582894C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582856C2211yescharacteristic
186#14582853C2211yescharacteristic
187#14582851C2211yescharacteristic
188C43×#559C2211yescharacteristic
189C43×#557C2211yescharacteristic, complemented
190C43×#497C2211yescharacteristic
191C43×#497C2211yescharacteristic, complemented
192C43×#492C2211yescharacteristic
193C43×#464C2211yescharacteristic
194C43×#464C2211yescharacteristic, complemented
195C43×#462C2211yescharacteristic, complemented
196C43×#461C2211yescharacteristic
197C43×#461C2211yescharacteristic, complemented
198C43×#460C2211yescharacteristic
199C43×#446C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic
201C43×#440C2211yescharacteristic, complemented
202C4×Q16×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C2×Q8×D43C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208C2×D4×D43C2311yescharacteristic
209#13063357—24no—
210#13063357—42no—
211#13063354—24no—
212#13063352—24no—
213#13063352—42no—
214#13063346—42no—
215#13063346—42no—
216C2×Dic172C2311yescharacteristic
217C2×Dic172C2311yescharacteristic
218C2×#10621885C2311yescharacteristic
219C2×#10621885C2311yescharacteristic
220C2×#10621885C2311yescharacteristic
221C2×#10621885C2311yescharacteristic
222C2×#10621885C2311yescharacteristic
223C2×#10621885C2311yescharacteristic
224C2×#10621885C2311yescharacteristic
225Q16×D43—42no—
226C2×#10621873C2311yescharacteristic
227C2×#10621873C2311yescharacteristic
228C2×#10621873C2311yescharacteristic
229C2×#10621873C2311yescharacteristic
230C2×#10621873C2311yescharacteristic
231C2×#10621883C2311yescharacteristic
232C2×#10621883C2311yescharacteristic
233C2×#10621884C2311yescharacteristic
234C2×#10621884C2311yescharacteristic
235C2×#10621884C2311yescharacteristic
236C2×#10621884C2311yescharacteristic
237C2×#10621884C2311yescharacteristic
238SD16×D43—42no—
239C2×D344C2311yescharacteristic
240C2×D344C2311yescharacteristic
241C2×#10621882C2311yescharacteristic
242C2×#10621882C2311yescharacteristic
243C2×#10621882C2311yescharacteristic
244C2×#10621882C2311yescharacteristic
245C2×#10621872C2311yescharacteristic
246C2×#10621872C2311yescharacteristic
247C2×C8×D43C2311yescharacteristic
248C2×C8×D43C2311yescharacteristic
249#13063325C2311yescharacteristic
250#13063324D411yescharacteristic
251#13063323D411yescharacteristic
252#13063323C2311yescharacteristic
253#13063323C2311yescharacteristic
254#13063323C2311yescharacteristic
255#13063322C2311yescharacteristic
256#13063321C2311yescharacteristic
257#13063320—21no—
258#13063320—21no—
259#13063320—21no—
260#13063320—21no—
261#13063320—21no—
262#13063320—21no—
263#13063320—21no—
264#13063320—21no—
265#13063320—21no—
266#13063319—21no—
267#13063319—21no—
268#13063319—21no—
269#13063318—21no—
270#13063318—21no—
271#13063318—21no—
272#13063318—21no—
273#13063316—21no—
274#13063315—21no—
275#13063315—21no—
276#13063315D411yescharacteristic
277#13063315D411yescharacteristic
278#13063314—21no—
279#13063314C2311yescharacteristic
280#13063314C2311yescharacteristic
281#13063314C2311yescharacteristic
282#13063314C2311yescharacteristic
283#13063314C2311yescharacteristic
284#13063313—21no—
285#13063313C2311yescharacteristic
286#13063313C2311yescharacteristic
287#13063313C2311yescharacteristic
288#13063313C2311yescharacteristic
289#13063312—21no—
290#13063312C2311yescharacteristic
291#13063312C2311yescharacteristic
292#13063312C2311yescharacteristic
293#13063311—21no—
294#13063311—21no—
295#13063311—21no—
296#13063311—21no—
297#13063310—21no—
298#13063310—21no—
299#13063310—21no—
300#13063310—21no—
301#13063310—21no—
302#13063310—21no—
303#13063310—21no—
304#13063310—21no—
305#13063309—21no—
306#13063308—21no—
307#13063307—21no—
308#13063307—21no—
309#13063307—21no—
310#13063307—21no—
311#13063306—21no—
312#13063306—21no—
313#13063305—21no—
314#13063305—21no—
315#13063305D411yescharacteristic
316#13063304—21no—
317#13063303—21no—
318#13063303—21no—
319#13063303—21no—
320#13063303—21no—
321#13063303—21no—
322#13063303—21no—
323#13063303—21no—
324#13063303D411yescharacteristic
325#13063303D411yescharacteristic
326#13063302—21no—
327#13063302—21no—
328#13063302—21no—
329#13063301—21no—
330#13063301D411yescharacteristic
331#13063300—21no—
332#13063300—21no—
333#13063297—21no—
334#13063297—21no—
335#13063293—21no—
336#13063293—21no—
337Q8×Dic43C2311yescharacteristic
338Q8×Dic43C2311yescharacteristic
339Q8×Dic43C2311yescharacteristic
340Q8×Dic43C2311yescharacteristic
341C4×Dic86—21no—
342C4×Dic86—21no—
343C4×Dic86C2311yescharacteristic
344C4×Dic86C2311yescharacteristic
345C4×Dic86C2311yescharacteristic
346C4×Dic86C2311yescharacteristic
347C4×Dic86C2311yescharacteristic
348C4×Dic86C2311yescharacteristic
349#13063290—21no—
350#13063290—21no—
351#13063290—21no—
352#13063290C2311yescharacteristic
353#13063290C2311yescharacteristic
354#13063290C2311yescharacteristic
355C4×D172—21no—
356C4×D172—21no—
357C4×D172—21no—
358C4×D172C2311yescharacteristic
359C4×D172C2311yescharacteristic
360C4×D172C2311yescharacteristic
361D4×Dic43—21no—
362D4×Dic43C2311yescharacteristic
363D4×Dic43C2311yescharacteristic
364#13063287—21no—
365#13063287—21no—
366#13063287—21no—
367#13063287—21no—
368#13063287—21no—
369#13063287C2311yescharacteristic
370#13063287C2311yescharacteristic
371#13063287C2311yescharacteristic
372C4×C22⋊D43—21no—
373C4×C22⋊D43—21no—
374C4×C22⋊D43—21no—
375(C22⋊D43)⋊C4—21no—
376(C22⋊D43)⋊C4—21no—
377(C22⋊D43)⋊C4—21no—
378#13063284—21no—
379#13063283—21no—
380#13063283—21no—
381#13063283—21no—
382#13063283—21no—
383#13063283C2311yescharacteristic
384#13063282—21no—
385#13063282—21no—
386#13063282—21no—
387#13063282—21no—
388#13063282—21no—
389#13063282—21no—
390#13063282C2311yescharacteristic
391#13063282C2311yescharacteristic
392#13063281—21no—
393#13063281—21no—
394C4⋊C4×D43—21no—
395C4⋊C4×D43—21no—
396C4⋊C4×D43—21no—
397C4⋊C4×D43C2311yescharacteristic
398C2×(C2×D43)⋊C4—21no—
399C22⋊C4×D43—21no—
400C22⋊C4×D43—21no—
401C22⋊C4×D43—21no—
402C2×C4×Dic43—21no—
403C42×D43—21no—
404C42×D43C2311yescharacteristic
405#13063258C2311yescharacteristic
406#13063257C2311yescharacteristic
407#13063256C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409C4⋊(C43⋊C8)C2311yescharacteristic
410C4⋊(C43⋊C8)C2311yescharacteristic
411Dic43⋊C8C2311yescharacteristic
412Dic43⋊C8C2311yescharacteristic
413Dic43⋊C8C2311yescharacteristic
414Dic43⋊C8C2311yescharacteristic
415Dic43⋊C8C2311yescharacteristic
416Dic43⋊C8C2311yescharacteristic
417#13063250C2311yescharacteristic
418#13063250C2311yescharacteristic
419#13063250C2311yescharacteristic
420#13063249C2311yescharacteristic
421#13063249C2311yescharacteristic
422#13063249C2311yescharacteristic
423#13063249C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063248C2311yescharacteristic
426#13063248C2311yescharacteristic
427#13063247C2311yescharacteristic
428#13063247C2311yescharacteristic
429#13063247C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063246C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435#13063236C2311yescharacteristic
436#13063236C2311yescharacteristic
437#13063235C2311yescharacteristic
438#13063235C2311yescharacteristic
439C4×C43⋊C8C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C8×Dic43C2311yescharacteristic
442C8×Dic43C2311yescharacteristic
443C8×Dic43C2311yescharacteristic
444C2×Q16×C43C2311yescharacteristic
445C2×Q16×C43C2311yescharacteristic
446C2×Q16×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×SD16×C43C2311yescharacteristic
450C2×SD16×C43C2311yescharacteristic
451C2×SD16×C43C2311yescharacteristic
452C2×SD16×C43C2311yescharacteristic
453C4⋊Q8×C43C2311yescharacteristic
454C4⋊Q8×C43C2311yescharacteristic
455C4⋊Q8×C43C2311yescharacteristic
456#127×C43C2311yescharacteristic
457#125×C43—21no—
458#125×C43—21no—
459#125×C43—21no—
460#124×C43—21no—
461#124×C43C2311yescharacteristic
462#124×C43C2311yescharacteristic
463#123×C43—21no—
464#123×C43—21no—
465C4×Q8×C43—21no—
466C4×Q8×C43C2311yescharacteristic
467C4×Q8×C43C2311yescharacteristic
468C4×Q8×C43C2311yescharacteristic
469C4×Q8×C43C2311yescharacteristic
470C4×Q8×C43C2311yescharacteristic
471C4×D4×C43—21no—
472C4×D4×C43C2311yescharacteristic
473C4×D4×C43C2311yescharacteristic
474#107×C43C2311yescharacteristic
475C4⋊C8×C43C2311yescharacteristic
476C4⋊C8×C43C2311yescharacteristic
477C4⋊C8×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#97×C43C2311yescharacteristic
485#97×C43C2311yescharacteristic
486C4×C8×C43C2311yescharacteristic
487C23×D43—21no—
488C2×Q8×C43C2×D411yescharacteristic
489C2×Q8×C43C2411yescharacteristic
490C2×Q8×C43C2411yescharacteristic
491C2×Q8×C43C2411yescharacteristic
492C2×Q8×C43C2411yescharacteristic
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43C2411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43—21no—
506#10621902—22no—
507#10621902—22no—
508#10621902—22no—
509#10621902—22no—
510Q8×D43—22no—
511Q8×D43—22no—
512Q8×D43—22no—
513Q8×D43—22no—
514#10621900—22no—
515#10621900—22no—
516D4×D43—22no—
517D4×D43—22no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172C2411yescharacteristic
523C2×D172C2411yescharacteristic
524C2×D172C2411yescharacteristic
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43C2×D411yescharacteristic
537C2×C4×D43C2×D411yescharacteristic
538C2×C4×D43C2411yescharacteristic
539C2×Dic86—21no—
540C2×Dic86—21no—
541C2×Dic86C2×D411yescharacteristic
542C2×Dic86C2×D411yescharacteristic
543C2×Dic86C2×D411yescharacteristic
544C2×Dic86C2411yescharacteristic
545C2×Dic86C2411yescharacteristic
546C2×Dic86C2411yescharacteristic
547Q16×C43—22no—
548Q16×C43—41no—
549Q16×C43—41no—
550SD16×C43—22no—
551SD16×C43—22no—
552SD16×C43—41no—
553SD16×C43—41no—
554SD16×C43—41no—
555SD16×C43—41no—
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C2×C8×C43C2411yescharacteristic
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43—21no—
570C4⋊C4×C43C2×D411yescharacteristic
571C4⋊C4×C43C2×D411yescharacteristic
572C4⋊C4×C43C2×D411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
574C4⋊C4×C43C2411yescharacteristic
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C42×C43—21no—
582C42×C43—21no—
583C42×C43—21no—
584C42×C43—21no—
585C42×C43C2411yescharacteristic
586C42×C43C2411yescharacteristic
587C42×C43C2411yescharacteristic
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596#10621885—22no—
597#10621885—22no—
598#10621885—41no—
599#10621885—41no—
600#10621885—41no—
601#10621885—41no—
602#10621885—41no—
603#10621884—22no—
604#10621884—22no—
605#10621884—41no—
606#10621884—41no—
607#10621884—41no—
608#10621883—22no—
609#10621883—41no—
610#10621882—22no—
611#10621882—41no—
612#10621882—41no—
613#10621882—41no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4C2×D411yescharacteristic
640(C2×D43)⋊C4C2×D411yescharacteristic
641(C2×D43)⋊C4C2×D411yescharacteristic
642(C2×D43)⋊C4C2×D411yescharacteristic
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43—21no—
648C4⋊Dic43—21no—
649C4⋊Dic43C2×D411yescharacteristic
650C4⋊Dic43C2×D411yescharacteristic
651C4⋊Dic43C2×D411yescharacteristic
652C4⋊Dic43C2411yescharacteristic
653C4⋊Dic43C2411yescharacteristic
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670Dic43⋊C4C2×D411yescharacteristic
671Dic43⋊C4C2×D411yescharacteristic
672Dic43⋊C4C2×D411yescharacteristic
673Dic43⋊C4C2×D411yescharacteristic
674Dic43⋊C4C2×D411yescharacteristic
675Dic43⋊C4C2×D411yescharacteristic
676Dic43⋊C4C2×D411yescharacteristic
677C4×Dic43—21no—
678C4×Dic43—21no—
679C4×Dic43—21no—
680C4×Dic43—21no—
681C4×Dic43—21no—
682C4×Dic43—21no—
683C4×Dic43—21no—
684C4×Dic43—21no—
685C4×Dic43—21no—
686C4×Dic43—21no—
687C4×Dic43—21no—
688C4×Dic43C2×D411yescharacteristic
689C4×Dic43C2×D411yescharacteristic
690C4×Dic43C2411yescharacteristic
691C4×Dic43C2411yescharacteristic
692C4×Dic43C2411yescharacteristic
693C2×C43⋊C8C2411yescharacteristic
694C2×C43⋊C8C2411yescharacteristic
695C2×C43⋊C8C2411yescharacteristic
696C2×C43⋊C8C2411yescharacteristic
697Dic172—22no—
698Dic172—41no—
699D344—22no—
700D344—41no—
701#10621873—22no—
702#10621873—41no—
703#10621873—41no—
704#10621873—41no—
705#10621873—41no—
706#10621872—22no—
707#10621872#4114yes—
708C8×D43—22no—
709C8×D43—22no—
710C23×C43—21no—
711C23×C43—21no—
712C22×D43—21no—
713C22×D43—21no—
714C22×D43—21no—
715C22×D43—42no—
716C22×D43—81no—
717C22×D43—81no—
718C22×D43C22×D411yescharacteristic
719Q8×C43—21no—
720Q8×C43—21no—
721Q8×C43—21no—
722Q8×C43—21no—
723Q8×C43—21no—
724Q8×C43—21no—
725Q8×C43—21no—
726Q8×C43—21no—
727Q8×C43—41no—
728D4×C43—21no—
729D4×C43—21no—
730D4×C43—21no—
731D4×C43—21no—
732D4×C43—81no—
733D4×C43—81no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—81no—
741C2×C4×C43—81no—
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C22×D411yescharacteristic
744C2×C4×C43C22×D411yescharacteristic
745C2×C4×C43C22×D411yescharacteristic
746C2×C4×C43C22×D411yescharacteristic
747C2×C4×C43C22×D411yescharacteristic
748C2×C4×C43C2511yescharacteristic
749C22⋊D43—42no—
750C22⋊D43—42no—
751C22⋊D43—81no—
752C22⋊D43—81no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—42no—
759C2×Dic43—81no—
760C2×Dic43—81no—
761C2×Dic43C22×D411yescharacteristic
762C2×Dic43C22×D411yescharacteristic
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765C2×Dic43C22×D411yescharacteristic
766C2×Dic43C22×D411yescharacteristic
767C2×Dic43C22×D411yescharacteristic
768D172—21no—
769D172—21no—
770D172—21no—
771D172—21no—
772D172—21no—
773D172—21no—
774D172—42no—
775D172—42no—
776D172—42no—
777D172—81no—
778C4×D43—41no—
779C4×D43—41no—
780C4×D43—42no—
781C4×D43—42no—
782C4×D43—42no—
783C4×D43—42no—
784C4×D43—81no—
785C4×D43—81no—
786C4×D43—81no—
787C4×D43—81no—
788C4×D43—81no—
789C4×D43—81no—
790C4×D43—81no—
791C4×D43C2×#4112yes—
792C4×D43H(5,𝔽2)12yes—
793Dic86—21no—
794Dic86—21no—
795Dic86—21no—
796Dic86—21no—
797Dic86—21no—
798Dic86—21no—
799Dic86—41no—
800Dic86—41no—
801Dic86—41no—
802Dic86—42no—
803Dic86—42no—
804C8×C43—21no—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43C2×#4112yes—
808C43⋊C8—21no—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8C2×#4112yes—
812#61423—431nomaximal, Sylow
813C22×C43—41no—
814C22×C43—41no—
815C22×C43—41no—
816C22×C43—41no—
817C22×C43—41no—
818C22×C43—41no—
819C22×C43C23×D411yescharacteristic
820C2×D43—21no—
821C2×D43—21no—
822C2×D43—41no—
823C2×D43—41no—
824C2×D43—41no—
825C2×D43—41no—
826C2×D43—41no—
827C2×D43—41no—
828C2×D43—41no—
829C2×D43—41no—
830C2×D43—41no—
831C2×D43—162no—
832C2×D43#55012yes—
833C4×C43—21no—
834C4×C43—21no—
835C4×C43—21no—
836C4×C43—21no—
837C4×C43—21no—
838C4×C43—21no—
839C4×C43—41no—
840C4×C43—41no—
841C4×C43—41no—
842C4×C43—41no—
843C4×C43—41no—
844C4×C43—41no—
845C4×C43C22×#4111yescharacteristic
846C4×C43C2×H(5,𝔽2)11yescharacteristic
847Dic43—21no—
848Dic43—21no—
849Dic43—21no—
850Dic43—21no—
851Dic43—21no—
852Dic43—21no—
853Dic43—41no—
854Dic43—41no—
855Dic43—41no—
856Dic43—41no—
857Dic43—41no—
858Dic43#55012yes—
859#3510—431no—
860#3507—431no—
861#3403—431no—
862#3403—431no—
863#3402—431no—
864#3402—431no—
865#3401—431no—
866#3401—431no—
867#3401—431no—
868#3401—431no—
869#3400—431no—
870#3400D4311yescharacteristic, complemented
871#3398—431no—
872#3398—431no—
873#3394—431no—
874#3394—431no—
875#3393—431no—
876#3393—431no—
877#3156—431no—
878#3154—431no—
879#3153—431no—
880#3046—431no—
881#3045—431no—
882#3044—431no—
883#3042—431no—
884#3035—431no—
885C2×#464—431no—
886#2962—431no—
887#2947—431no—
888#2946—431no—
889C4×#137—431no—
890C2×C43—81no—
891C2×C43—81no—
892C2×C43C2×#55011yescharacteristic
893C2×C43#358411yescharacteristic
894C2×C43#358611yescharacteristic
895D43—22no—
896D43—81no—
897D43—81no—
898D43—81no—
899C2×#137—431no—
900C2×#137—431no—
901C2×#137—431no—
902C2×AGL(1,ℤ/8)—431no—
903C2×AGL(1,ℤ/8)—431no—
904C2×#135—431no—
905C2×#135—431no—
906C22×Q16—431no—
907C22×SD16—431no—
908#559—431no—
909#559—431no—
910#559—431no—
911#559—431no—
912#559—431no—
913#559C2×D4311yescharacteristic
914#557—431no—
915#557C2×D4311yescharacteristic, complemented
916#556—431no—
917#556—431no—
918#556—431no—
919#556—431no—
920#556—431no—
921#556—431no—
922#556—431no—
923#556—431no—
924#556—861no—
925#554—861no—
926#552—861no—
927#552—861no—
928#551—861no—
929#551—861no—
930#551—861no—
931#551—861no—
932#542—861no—
933#542—861no—
934#539—861no—
935#539—861no—
936#536—431no—
937#536—431no—
938#536—431no—
939#535—431no—
940#533—431no—
941#532—431no—
942#529—861no—
943#529—861no—
944#529—861no—
945#529—861no—
946C2×#124—431no—
947#520—431no—
948#520—431no—
949#519—431no—
950#518—431no—
951C4×#41—431no—
952C2×C4×Q8—431no—
953#497—431no—
954#497—431no—
955#497—431no—
956#497—431no—
957#497—431no—
958#497—431no—
959#497C2×D4311yescharacteristic
960#497C2×D4311yescharacteristic, complemented
961#496—431no—
962#496—431no—
963#496—431no—
964#496—431no—
965#495—431no—
966#495—431no—
967#495—431no—
968#495—431no—
969#495—431no—
970#495—431no—
971#495—431no—
972#495—431no—
973#494—431no—
974#494—431no—
975#492—431no—
976#492C2×D4311yescharacteristic
977#464—431no—
978#464—431no—
979#464—431no—
980#464—431no—
981#464—431no—
982#464—431no—
983#464—431no—
984#464—431no—
985#464—431no—
986#464—431no—
987#464—431no—
988#464—431no—
989#464—431no—
990#464—431no—
991#464—431no—
992#464—431no—
993#464C2×D4311yescharacteristic
994#464C2×D4311yescharacteristic, complemented
995#463—431no—
996#463—431no—
997#463—431no—
998#463—431no—
999#463—431no—
1000#463—431no—
1001#463—431no—
1002#463—431no—
1003#463—431no—
1004#463—431no—
1005#462—431no—
1006#462—431no—
1007#462—431no—
1008#462—431no—
1009#462—431no—
1010#462—431no—
1011#462C2×D4311yescharacteristic, complemented
1012#461—431no—
1013#461—431no—
1014#461—431no—
1015#461—431no—
1016#461—431no—
1017#461C2×D4311yescharacteristic
1018#461C2×D4311yescharacteristic, complemented
1019#460—431no—
1020#460—431no—
1021#460C2×D4311yescharacteristic
1022#459—431no—
1023#459—431no—
1024#459—431no—
1025#446—431no—
1026#446—431no—
1027#446—431no—
1028#446—431no—
1029#446—431no—
1030#446C2×D4311yescharacteristic, complemented
1031C8×Q8—431no—
1032C8×Q8—431no—
1033#442—431no—
1034#442—431no—
1035#441—431no—
1036#441—431no—
1037#441—431no—
1038#441—431no—
1039#440—431no—
1040#440—431no—
1041#440—431no—
1042#440—431no—
1043#440C2×D4311yescharacteristic
1044#440C2×D4311yescharacteristic, complemented
1045C4×Q16—431no—
1046C4×Q16—431no—
1047C4×Q16—431no—
1048C4×Q16C2×D4311yescharacteristic, complemented
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057#428—431no—
1058#424—431no—
1059#424—431no—
1060C2×C4⋊C8—431no—
1061#419—431no—
1062#417—431no—
1063#416—431no—
1064#416—431no—
1065C2×#103—431no—
1066C2×#102—431no—
1067#405—431no—
1068#405—431no—
1069C4×M16—431no—
1070C43#6142311yescharacteristic, complemented, Sylow
1071C2×#41—431no—
1072C2×#41—431no—
1073C2×#41—431no—
1074C22×Q8—431no—
1075C22×Q8—431no—
1076C22×D4—431no—
1077#137—864no—
1078#137—864no—
1079#137—1722no—
1080AGL(1,ℤ/8)—864no—
1081AGL(1,ℤ/8)—1722no—
1082#135—1722no—
1083#135—1722no—
1084C2×Q16—431no—
1085C2×Q16—431no—
1086C2×Q16—431no—
1087C2×Q16—431no—
1088C2×Q16—431no—
1089C2×Q16—431no—
1090C2×Q16—431no—
1091C2×Q16—431no—
1092C2×Q16—431no—
1093C2×Q16—1722no—
1094C2×Q16C22×D4311yescharacteristic
1095C2×Q16C22×D4311yescharacteristic
1096C2×Q16C22×D4311yescharacteristic
1097C2×SD16—431no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—431no—
1104C2×SD16—431no—
1105C2×SD16—431no—
1106C2×SD16—431no—
1107C2×SD16—431no—
1108C2×SD16—431no—
1109C2×SD16—1722no—
1110C2×SD16C22×D4311yescharacteristic
1111C2×SD16C22×D4311yescharacteristic
1112C2×SD16C22×D4311yescharacteristic
1113C2×SD16C22×D4311yescharacteristic
1114C2×SD16C22×D4311yescharacteristic
1115C2×SD16C22×D4311yescharacteristic
1116C2×D8—431no—
1117C2×D8—431no—
1118C2×D8—431no—
1119C2×D8—431no—
1120C2×D8—431no—
1121C2×D8—431no—
1122C2×M16—431no—
1123C2×M16—431no—
1124C22×C8—431no—
1125C22×C8—431no—
1126C4⋊Q8—431no—
1127C4⋊Q8—431no—
1128C4⋊Q8—431no—
1129C4⋊Q8—431no—
1130C4⋊Q8—431no—
1131C4⋊Q8—431no—
1132C4⋊Q8C22×D4311yescharacteristic
1133C4⋊Q8C22×D4311yescharacteristic
1134C4⋊Q8C22×D4311yescharacteristic
1135#127—431no—
1136#127—431no—
1137#127C22×D4311yescharacteristic
1138#126—861no—
1139#126—861no—
1140#126—861no—
1141#126—861no—
1142#126—861no—
1143#126—861no—
1144#126—861no—
1145#126—861no—
1146#126—861no—
1147#126—861no—
1148#126—861no—
1149#126—861no—
1150#126—861no—
1151#126—861no—
1152#126—861no—
1153#126—861no—
1154#125—21no—
1155#125—21no—
1156#125—21no—
1157#125—431no—
1158#125—431no—
1159#125—861no—
1160#125—861no—
1161#125—861no—
1162#124—21no—
1163#124—431no—
1164#124—431no—
1165#124—431no—
1166#124—431no—
1167#124—431no—
1168#124—431no—
1169#124—431no—
1170#124—431no—
1171#124—431no—
1172#124—431no—
1173#124—431no—
1174#124—431no—
1175#124—861no—
1176#124—861no—
1177#124—861no—
1178#124—861no—
1179#124—861no—
1180#124—861no—
1181#124—861no—
1182#124C22×D4311yescharacteristic
1183#124C22×D4311yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—861no—
1187#123—861no—
1188#123—861no—
1189#123—861no—
1190#123—861no—
1191#123—861no—
1192#123—861no—
1193#123—861no—
1194#123—861no—
1195#123—861no—
1196#123—861no—
1197#123—861no—
1198#123—861no—
1199#123—861no—
1200#123—861no—
1201#123—861no—
1202C22⋊Q8—431no—
1203C22⋊Q8—431no—
1204C22⋊Q8—431no—
1205C22⋊Q8—431no—
1206C22⋊Q8—861no—
1207C22⋊Q8—861no—
1208C22⋊Q8—861no—
1209C22⋊Q8—861no—
1210C22⋊Q8—861no—
1211C22⋊Q8—861no—
1212C22⋊Q8—861no—
1213C22⋊Q8—861no—
1214C22⋊Q8—861no—
1215C22⋊Q8—861no—
1216C22⋊Q8—861no—
1217C22⋊Q8—861no—
1218C22⋊Q8—861no—
1219C22⋊Q8—861no—
1220#121—861no—
1221#121—861no—
1222#121—861no—
1223#121—861no—
1224#120—861no—
1225#120—861no—
1226C4×Q8—21no—
1227C4×Q8—431no—
1228C4×Q8—431no—
1229C4×Q8—431no—
1230C4×Q8—431no—
1231C4×Q8—431no—
1232C4×Q8—431no—
1233C4×Q8—431no—
1234C4×Q8—431no—
1235C4×Q8—431no—
1236C4×Q8—431no—
1237C4×Q8—431no—
1238C4×Q8—431no—
1239C4×Q8—431no—
1240C4×Q8—861no—
1241C4×Q8—861no—
1242C4×Q8—861no—
1243C4×Q8—861no—
1244C4×Q8—861no—
1245C4×Q8C22×D4311yescharacteristic
1246C4×Q8C22×D4311yescharacteristic
1247C4×Q8C22×D4311yescharacteristic
1248C4×Q8C22×D4311yescharacteristic
1249C4×Q8C22×D4311yescharacteristic
1250C4×D4—21no—
1251C4×D4—431no—
1252C4×D4—431no—
1253C4×D4—431no—
1254C4×D4—431no—
1255C4×D4—431no—
1256C4×D4—431no—
1257C4×D4—431no—
1258C4×D4—431no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4—861no—
1262C4×D4—861no—
1263C4×D4—861no—
1264C4×D4—861no—
1265C4×D4—861no—
1266C4×D4—861no—
1267C4×D4—861no—
1268C4×D4—861no—
1269C4×D4—861no—
1270C4×D4—861no—
1271C4×D4—861no—
1272C4×D4—861no—
1273C4×D4—861no—
1274C4×D4C22×D4311yescharacteristic
1275C4×D4C22×D4311yescharacteristic
1276#117—431no—
1277#117—431no—
1278#117—431no—
1279#117—861no—
1280#117—861no—
1281#117—861no—
1282#117—861no—
1283#117—861no—
1284#117—861no—
1285#117—861no—
1286#117—861no—
1287#117—861no—
1288#117—861no—
1289#117—861no—
1290#117—861no—
1291#117—861no—
1292C2×C4⋊C4—431no—
1293C2×C4⋊C4—861no—
1294C2×C4⋊C4—861no—
1295C2×C4⋊C4—861no—
1296C2×C22⋊C4—861no—
1297C2×C22⋊C4—861no—
1298C2×C22⋊C4—861no—
1299C2×C22⋊C4—861no—
1300C2×C42—431no—
1301C2×C42—861no—
1302C2×C42—861no—
1303#107—431no—
1304#107C22×D4311yescharacteristic
1305#106—431no—
1306#106—431no—
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8—431no—
1312C4⋊C8—431no—
1313C4⋊C8—431no—
1314C4⋊C8—431no—
1315C4⋊C8—431no—
1316C4⋊C8C22×D4311yescharacteristic
1317C4⋊C8C22×D4311yescharacteristic
1318C4⋊C8C22×D4311yescharacteristic
1319#103—431no—
1320#103—431no—
1321#103—431no—
1322#103—431no—
1323#103—431no—
1324#103—431no—
1325#103—431no—
1326#103—431no—
1327#103—431no—
1328#103—431no—
1329#103C22×D4311yescharacteristic
1330#103C22×D4311yescharacteristic
1331#103C22×D4311yescharacteristic
1332#103C22×D4311yescharacteristic
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102—431no—
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#97—431no—
1344#97—431no—
1345#97—431no—
1346#97—431no—
1347#97C22×D4311yescharacteristic
1348#97C22×D4311yescharacteristic
1349C4×C8—431no—
1350C4×C8—431no—
1351C4×C8—431no—
1352C4×C8—431no—
1353C4×C8—431no—
1354C4×C8C22×D4311yescharacteristic
1355C24—861no—
1356#41—862no—
1357#41—862no—
1358#41—862no—
1359#41—862no—
1360#41—862no—
1361#41—862no—
1362C2×Q8—431no—
1363C2×Q8—431no—
1364C2×Q8—431no—
1365C2×Q8—431no—
1366C2×Q8—431no—
1367C2×Q8—431no—
1368C2×Q8—861no—
1369C2×Q8—861no—
1370C2×Q8—862no—
1371C2×Q8—862no—
1372C2×Q8—862no—
1373C2×Q8—862no—
1374C2×Q8D4×D4311yescharacteristic
1375C2×Q8C23×D4311yescharacteristic
1376C2×Q8C23×D4311yescharacteristic
1377C2×Q8C23×D4311yescharacteristic
1378C2×Q8C23×D4311yescharacteristic
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—431no—
1382C2×D4—431no—
1383C2×D4—431no—
1384C2×D4—861no—
1385C2×D4—861no—
1386C2×D4—862no—
1387C2×D4—862no—
1388C2×D4—861no—
1389C2×D4—861no—
1390C2×D4—861no—
1391C2×D4—861no—
1392C2×D4—861no—
1393C2×D4—861no—
1394C2×D4C23×D4311yescharacteristic
1395C2×D4C23×D4311yescharacteristic
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—431no—
1399C22×C4—431no—
1400C22×C4—431no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—861no—
1405C22×C4—861no—
1406C22×C4—861no—
1407C22×C4—861no—
1408C22×C4—861no—
1409C22×C4—861no—
1410C22×C4—861no—
1411C22×C4—861no—
1412C22×C4—861no—
1413C22×C4—861no—
1414C22×C4—861no—
1415Q16—22no—
1416Q16—41no—
1417Q16—41no—
1418Q16—862no—
1419Q16—862no—
1420Q16—862no—
1421Q16—1721no—
1422Q16—1721no—
1423Q16—1721no—
1424Q16—1721no—
1425Q16—1721no—
1426Q16—1721no—
1427SD16—22no—
1428SD16—22no—
1429SD16—41no—
1430SD16—41no—
1431SD16—41no—
1432SD16—41no—
1433SD16—862no—
1434SD16—862no—
1435SD16—862no—
1436SD16—862no—
1437SD16—1721no—
1438SD16—1721no—
1439SD16—1721no—
1440SD16—1721no—
1441SD16—1721no—
1442SD16—1721no—
1443SD16—1721no—
1444SD16—1721no—
1445D8—862no—
1446D8—862no—
1447D8—1721no—
1448D8—1721no—
1449D8—1721no—
1450D8—1721no—
1451M16—434no—
1452M16—862no—
1453C2×C8—431no—
1454C2×C8—431no—
1455C2×C8—431no—
1456C2×C8—431no—
1457C2×C8—862no—
1458C2×C8—862no—
1459C2×C8C23×D4311yescharacteristic
1460C2×C8C23×D4311yescharacteristic
1461C2×C8C23×D4311yescharacteristic
1462C2×C8C23×D4311yescharacteristic
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—431no—
1474C4⋊C4—431no—
1475C4⋊C4—431no—
1476C4⋊C4—431no—
1477C4⋊C4—431no—
1478C4⋊C4—431no—
1479C4⋊C4—431no—
1480C4⋊C4—431no—
1481C4⋊C4—431no—
1482C4⋊C4—431no—
1483C4⋊C4—431no—
1484C4⋊C4—431no—
1485C4⋊C4—431no—
1486C4⋊C4—431no—
1487C4⋊C4—431no—
1488C4⋊C4—861no—
1489C4⋊C4—861no—
1490C4⋊C4—861no—
1491C4⋊C4—861no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4D4×D4311yescharacteristic
1508C4⋊C4D4×D4311yescharacteristic
1509C4⋊C4D4×D4311yescharacteristic
1510C4⋊C4C23×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—431no—
1519C22⋊C4—431no—
1520C22⋊C4—431no—
1521C22⋊C4—431no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C42—21no—
1556C42—21no—
1557C42—21no—
1558C42—21no—
1559C42—431no—
1560C42—431no—
1561C42—431no—
1562C42—431no—
1563C42—431no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42—861no—
1570C42—861no—
1571C42—861no—
1572C42—861no—
1573C42—861no—
1574C42—861no—
1575C42C23×D4311yescharacteristic
1576C42C23×D4311yescharacteristic
1577C42C23×D4311yescharacteristic
1578C23—21no—
1579C23—21no—
1580C23—431no—
1581C23—861no—
1582C23—861no—
1583C23—861no—
1584C23—3441no—
1585C23—3441no—
1586C23—1722no—
1587Q8—21no—
1588Q8—21no—
1589Q8—21no—
1590Q8—21no—
1591Q8—21no—
1592Q8—21no—
1593Q8—21no—
1594Q8—21no—
1595Q8—41no—
1596Q8—861no—
1597Q8—861no—
1598Q8—861no—
1599Q8—861no—
1600Q8—861no—
1601Q8—861no—
1602Q8—1721no—
1603Q8—1721no—
1604Q8—1721no—
1605Q8—1722no—
1606Q8—1722no—
1607D4—21no—
1608D4—21no—
1609D4—21no—
1610D4—21no—
1611D4—81no—
1612D4—81no—
1613D4—861no—
1614D4—861no—
1615D4—861no—
1616D4—861no—
1617D4—861no—
1618D4—861no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—1722no—
1623D4—1722no—
1624D4—1722no—
1625D4—1722no—
1626D4—1722no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—81no—
1634C2×C4—81no—
1635C2×C4—431no—
1636C2×C4—432no—
1637C2×C4—432no—
1638C2×C4—431no—
1639C2×C4—431no—
1640C2×C4—431no—
1641C2×C4—431no—
1642C2×C4—431no—
1643C2×C4—431no—
1644C2×C4—861no—
1645C2×C4—861no—
1646C2×C4—861no—
1647C2×C4—861no—
1648C2×C4—861no—
1649C2×C4—3441no—
1650C2×C4—3441no—
1651C2×C4—3441no—
1652C2×C4—3441no—
1653C2×C4—3441no—
1654C2×C4—3441no—
1655C2×C4—3441no—
1656C2×C4—3441no—
1657C2×C4—3441no—
1658C2×C4—1721no—
1659C2×C4—1721no—
1660C2×C4—1722no—
1661C2×C4—1722no—
1662C2×C4—1722no—
1663C2×C4—1722no—
1664C2×C4—1722no—
1665C2×C4C2×D4×D4311yescharacteristic
1666C2×C4C2×D4×D4311yescharacteristic
1667C2×C4C2×D4×D4311yescharacteristic
1668C2×C4C2×D4×D4311yescharacteristic
1669C2×C4C2×D4×D4311yescharacteristic
1670C2×C4C2×D4×D4311yescharacteristic
1671C2×C4C24×D4311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—432no—
1676C8—861no—
1677C8—861no—
1678C8—861no—
1679C8#41×D4312yes—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—432no—
1687C22—861no—
1688C22—861no—
1689C22—1721no—
1690C22—1721no—
1691C22—1721no—
1692C22—1721no—
1693C22—1721no—
1694C22—1721no—
1695C22—1721no—
1696C22—1721no—
1697C22—1721no—
1698C22—6882no—
1699C22C22×D4×D4311yescharacteristic
1700C4—21no—
1701C4—21no—
1702C4—21no—
1703C4—21no—
1704C4—21no—
1705C4—21no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—432no—
1713C4—861no—
1714C4—861no—
1715C4—861no—
1716C4—861no—
1717C4—861no—
1718C4—861no—
1719C4—1721no—
1720C4—1721no—
1721C4—1721no—
1722C4—1721no—
1723C4—1721no—
1724C4C2×#41×D4311yescharacteristic
1725C4H(5,𝔽2)×D4311yescharacteristic
1726C2—81no—
1727C2—81no—
1728C2—862no—
1729C2—3441no—
1730C2—3441no—
1731C2—3441no—
1732C2#550×D4311yescharacteristic
1733C2#1914936711yescharacteristic
1734C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3400C2
socleC22×C43C23×D4
hypercenter#3400D43
hypocenterC43#61423
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3400

Complements

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

NH ≅ G/Ntype
1. #19148488C2semidirect
2. #19148461C2semidirect
3. #19147684C2semidirect
4. #19147679C2semidirect
5. #19147675C2semidirect
6. #19147669C2semidirect
7. #19147664C2semidirect
8. #19147663C2semidirect
9. #19147660C2semidirect
10. #19147654C2semidirect
11. #19147643C2semidirect
12. #19147623C2semidirect
13. #19147622C2semidirect
14. #19147596C2semidirect
15. #19147586C2semidirect
16. #19147583C2semidirect
17. #19147582C2semidirect
18. #19145087C2semidirect
19. #19145064C2semidirect
20. #19145058C2semidirect
21. #19144148C2semidirect
22. #19144131C2semidirect
23. #19144120C2semidirect
24. #19144102C2semidirect
25. #19144051C2semidirect
26. #464×D43C2semidirect
27. #19143540C2semidirect
28. #19143433C2semidirect
29. #19143426C2semidirect
30. #19143417C2semidirect
31. C43×#3400C2semidirect
42. #14583634C22semidirect
43. #14583634C22semidirect
46. #14583624C22semidirect
47. #14583623C22semidirect
48. #14583623C22semidirect
52. #14583621C22semidirect
53. #14583621C22semidirect
84. #14583293C22semidirect
85. #14583292C22semidirect
89. #14583290C22semidirect
97. #14583281C22semidirect
101. #14583280C22semidirect
102. #14583278C22semidirect
103. #14583277C22semidirect
106. #14583124C22semidirect
107. #14583124C22semidirect
108. #14583124C22semidirect
110. #14583123C22semidirect
112. #14583122C22semidirect
115. #14583121C22semidirect
119. #14583119C22semidirect
123. #14583116C22semidirect
124. #14583116C22semidirect
129. #14583113C22semidirect
130. #14583111C22semidirect
131. #14583109C22semidirect
132. #14583108C22semidirect
133. #14583107C22semidirect
134. #14583107C22semidirect
135. #14583106C22semidirect
136. #14583106C22semidirect
137. #14583105C22semidirect
139. #14583103C22semidirect
142. #14583100C22semidirect
144. #14583094C22semidirect
147. #14583030C22semidirect
148. #14583028C22semidirect
149. #14583028C22semidirect
150. #14583027C22semidirect
151. #14583027C22semidirect
152. C8×Dic86C22semidirect
153. #14583023C22semidirect
156. #14583007C22semidirect
157. #14583006C22semidirect
158. #14583004C22semidirect
159. #14583004C22semidirect
161. #14582999C22semidirect
162. #14582998C22semidirect
163. #14582997C22semidirect
164. #14582993C22semidirect
165. #14582991C22semidirect
166. #14582991C22semidirect
167. #14582990C22semidirect
168. C4×#10621873C22semidirect
170. SD16×Dic43C22semidirect
172. #14582984C22semidirect
189. C43×#557C22semidirect
191. C43×#497C22semidirect
194. C43×#464C22semidirect
195. C43×#462C22semidirect
197. C43×#461C22semidirect
199. C43×#446C22semidirect
201. C43×#440C22semidirect
202. C4×Q16×C43C22semidirect
870. #3400D43semidirect
915. #557C2×D43semidirect
960. #497C2×D43semidirect
994. #464C2×D43semidirect
1011. #462C2×D43semidirect
1018. #461C2×D43semidirect
1030. #446C2×D43semidirect
1044. #440C2×D43semidirect
1048. C4×Q16C2×D43semidirect
1070. C43#61423semidirect

Maximal subgroups

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

subgroupindex
#191484882
#191484612
#191476842
#191476792
#191476752
#191476692
#191476642
#191476632
#191476602
#191476542
#191476432
#191476232
#191476222
#191475962
#191475862
#191475832
#191475822
#191450872
#191450642
#191450582
#191441482
#191441312
#191441202
#191441022
#191440512
#464×D432
#191435402
#191434332
#191434262
#191434172
C43×#34002
#6142343