Finite Group Databasebeta

← #25979843

Subgroups — #25979843

Order 11008.

1826 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148700C211yesmaximal, characteristic, complemented
2#19148646C211yesmaximal, characteristic, complemented
3#19147663C211yesmaximal, characteristic, complemented
4#19147518C211yesmaximal, characteristic, complemented
5#19147439C211yesmaximal, characteristic, complemented
6#19147389C211yesmaximal, characteristic, complemented
7#19147222C211yesmaximal, characteristic, complemented
8#19147067C211yesmaximal, characteristic, complemented
9#19147052C211yesmaximal, characteristic, complemented
10#19146934C211yesmaximal, characteristic, complemented
11#19146813C211yesmaximal, characteristic, complemented
12#19146753C211yesmaximal, characteristic, complemented
13#19146708C211yesmaximal, characteristic, complemented
14#19146588C211yesmaximal, characteristic, complemented
15#19146573C211yesmaximal, characteristic, complemented
16#19146231C211yesmaximal, characteristic, complemented
17#19146155C211yesmaximal, characteristic, complemented
18#19146140C211yesmaximal, characteristic, complemented
19#19145278C211yesmaximal, characteristic, complemented
20#19145234C211yesmaximal, characteristic, complemented
21#19145201C211yesmaximal, characteristic, complemented
22#19144874C211yesmaximal, characteristic, complemented
23#19144859C211yesmaximal, characteristic, complemented
24#19144826C211yesmaximal, characteristic, complemented
25#19144796C211yesmaximal, characteristic, complemented
26#19144758C211yesmaximal, characteristic, complemented
27#19144735C211yesmaximal, characteristic, complemented
28#19143480C211yesmaximal, characteristic, complemented
29#19143440C211yesmaximal, characteristic, complemented
30C4×#13063353C211yesmaximal, characteristic, complemented
31C43×#2967C211yesmaximal, characteristic, complemented
32C2×#13063358C2211yescharacteristic
33C2×#13063353C2211yescharacteristic
34C2×#13063347C2211yescharacteristic
35#14583634C2211yescharacteristic, complemented
36#14583633—21no—
37#14583627C2211yescharacteristic, complemented
38#14583622C2211yescharacteristic
39#14583614C2211yescharacteristic
40#14583611—21no—
41#14583606C2211yescharacteristic
42#14583606C2211yescharacteristic
43#14583595C2211yescharacteristic, complemented
44#14583594—21no—
45#14583589C2211yescharacteristic
46#14583587—21no—
47#14583581—21no—
48#14583572—21no—
49#14583572—21no—
50#14583570C2211yescharacteristic
51Q8×D172C2211yescharacteristic
52#14583558C2211yescharacteristic
53#14583558C2211yescharacteristic, complemented
54#14583557—21no—
55#14583554C2211yescharacteristic
56#14583553C2211yescharacteristic
57#14583545C2211yescharacteristic
58#14583545C2211yescharacteristic
59#14583520C2211yescharacteristic
60#14583520C2211yescharacteristic
61#14583520C2211yescharacteristic, complemented
62#14583519—21no—
63#14583504C2211yescharacteristic, complemented
64#14583499—21no—
65#14583490—21no—
66#14583490—21no—
67#14583456C2211yescharacteristic
68#14583433C2211yescharacteristic
69#14583432—21no—
70#14583432—21no—
71#14583409—21no—
72C22⋊Q8×D43—21no—
73#14583379C2211yescharacteristic
74#14583379C2211yescharacteristic
75#14583379C2211yescharacteristic, complemented
76#14583376C2211yescharacteristic, complemented
77C4×#10621898C2211yescharacteristic
78C2×C4×D172C2211yescharacteristic
79#14583308C2211yescharacteristic, complemented
80#14583308C2211yescharacteristic, complemented
81#14583304C2211yescharacteristic, complemented
82#14583293C2211yescharacteristic, complemented
83#14583288C2211yescharacteristic
84#14583283C2211yescharacteristic
85#14583268C2211yescharacteristic, complemented
86#14583259C2211yescharacteristic
87#14583259C2211yescharacteristic, complemented
88#14583259C2211yescharacteristic, complemented
89#14583254C2211yescharacteristic
90#14583246C2211yescharacteristic, complemented
91#14583241C2211yescharacteristic
92#14583241C2211yescharacteristic
93#14583241C2211yescharacteristic, complemented
94#14583235C2211yescharacteristic, complemented
95#14583230C2211yescharacteristic
96#14583230C2211yescharacteristic, complemented
97#14583224C2211yescharacteristic
98#14583218C2211yescharacteristic
99#14583218C2211yescharacteristic, complemented
100#14583213C2211yescharacteristic
101#14583213C2211yescharacteristic, complemented
102#14583213C2211yescharacteristic, complemented
103#14583207C2211yescharacteristic, complemented
104#14583200C2211yescharacteristic
105#14583200C2211yescharacteristic
106#14583200C2211yescharacteristic
107#14583195C2211yescharacteristic, complemented
108#14583195C2211yescharacteristic, complemented
109#14583195C2211yescharacteristic, complemented
110#14583190C2211yescharacteristic, complemented
111#14583190C2211yescharacteristic, complemented
112#14583185C2211yescharacteristic, complemented
113#14583185C2211yescharacteristic, complemented
114#14583180C2211yescharacteristic
115#14583157C2211yescharacteristic
116#14583157C2211yescharacteristic
117#14583152C2211yescharacteristic
118#14583145C2211yescharacteristic
119#14583145C2211yescharacteristic
120#14583145C2211yescharacteristic
121#14583145C2211yescharacteristic, complemented
122#14583145C2211yescharacteristic, complemented
123#14583140C2211yescharacteristic, complemented
124#14583135C2211yescharacteristic
125#14583135C2211yescharacteristic
126#14583128C2211yescharacteristic, complemented
127#14583122C2211yescharacteristic
128#14583122C2211yescharacteristic
129#14583122C2211yescharacteristic
130#14583122C2211yescharacteristic, complemented
131#14583115C2211yescharacteristic
132#14583115C2211yescharacteristic
133#14583115C2211yescharacteristic
134#14583115C2211yescharacteristic
135#14583110C2211yescharacteristic, complemented
136#14583105C2211yescharacteristic, complemented
137#14583100C2211yescharacteristic, complemented
138#14583095C2211yescharacteristic
139#14583063C2211yescharacteristic
140#14583063C2211yescharacteristic
141#14583063C2211yescharacteristic
142#14583063C2211yescharacteristic, complemented
143#14583057C2211yescharacteristic, complemented
144#14583052C2211yescharacteristic
145#14583046C2211yescharacteristic
146#14583046C2211yescharacteristic
147#14583046C2211yescharacteristic
148#14583046C2211yescharacteristic
149#14583040C2211yescharacteristic
150#14583035C2211yescharacteristic
151#14583012C2211yescharacteristic
152#14583012C2211yescharacteristic
153#14583012C2211yescharacteristic
154#14583012C2211yescharacteristic
155#14583012C2211yescharacteristic
156#14583007C2211yescharacteristic, complemented
157#14583007C2211yescharacteristic, complemented
158#14583007C2211yescharacteristic, complemented
159#14583007C2211yescharacteristic, complemented
160#14583001C2211yescharacteristic
161#14583001C2211yescharacteristic
162#14583001C2211yescharacteristic
163#14583001C2211yescharacteristic
164#14583001C2211yescharacteristic
165#14583001C2211yescharacteristic, complemented
166#14583001C2211yescharacteristic, complemented
167C4×Dic172C2211yescharacteristic, complemented
168C4×Dic172C2211yescharacteristic, complemented
169C4×Dic172C2211yescharacteristic, complemented
170C4×#10621873C2211yescharacteristic
171C4×#10621873C2211yescharacteristic
172C4×#10621873C2211yescharacteristic
173C4×#10621873C2211yescharacteristic
174C4×#10621873C2211yescharacteristic, complemented
175C4×#10621873C2211yescharacteristic, complemented
176C4×#10621873C2211yescharacteristic, complemented
177C4×D344C2211yescharacteristic
178C4×D344C2211yescharacteristic
179#14582941C2211yescharacteristic
180#14582941C2211yescharacteristic, complemented
181C2×#13063257C2211yescharacteristic, complemented
182#14582905C2211yescharacteristic
183#14582901C2211yescharacteristic
184#14582901C2211yescharacteristic
185#14582901C2211yescharacteristic, complemented
186#14582896C2211yescharacteristic
187C2×#13063250C2211yescharacteristic, complemented
188C43×#529C2211yescharacteristic
189C43×#446C2211yescharacteristic, complemented
190C43×#446C2211yescharacteristic, complemented
191C43×#436C2211yescharacteristic
192C43×#436C2211yescharacteristic
193C43×#435C2211yescharacteristic
194C43×#435C2211yescharacteristic
195C43×#435C2211yescharacteristic, complemented
196C43×#435C2211yescharacteristic, complemented
197C43×#433C2211yescharacteristic, complemented
198C43×#433C2211yescharacteristic, complemented
199C43×#432C2211yescharacteristic
200C43×#405C2211yescharacteristic, complemented
201C43×#405C2211yescharacteristic, complemented
202C4×M16×C43C2211yescharacteristic
203C2×#10621898C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621898C2311yescharacteristic
206C2×#10621898C2311yescharacteristic
207C2×#10621900—21no—
208C22×Dic86C2311yescharacteristic
209C2×Q8×D43—21no—
210C22×D172C2311yescharacteristic
211C22×C4×D43—21no—
212#13063358—24no—
213#13063353—24no—
214#13063347—24no—
215C2×Dic172C2311yescharacteristic
216C2×Dic172C2311yescharacteristic
217C2×Dic172C2311yescharacteristic
218C2×Dic172C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621873C2311yescharacteristic
222C2×#10621873C2311yescharacteristic
223C2×#10621873C2311yescharacteristic
224C2×#10621873C2311yescharacteristic
225C2×#10621873C2311yescharacteristic
226C2×#10621873C2311yescharacteristic
227C2×D344C2311yescharacteristic
228C2×D344C2311yescharacteristic
229C2×D344C2311yescharacteristic
230C2×D344C2311yescharacteristic
231#13063325C2311yescharacteristic
232#13063325C2311yescharacteristic
233#13063325C2311yescharacteristic
234#13063325C2311yescharacteristic
235#13063325C2311yescharacteristic
236#13063323—21no—
237#13063322C2311yescharacteristic
238#13063321—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063319—21no—
246#13063318—21no—
247#13063317—21no—
248#13063317C2311yescharacteristic
249#13063317C2311yescharacteristic
250#13063316—21no—
251#13063316—21no—
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063314—21no—
256#13063313C2311yescharacteristic
257#13063313C2311yescharacteristic
258#13063313C2311yescharacteristic
259#13063313C2311yescharacteristic
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311—21no—
266#13063311—21no—
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063309—21no—
274#13063309—21no—
275#13063308—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063306—21no—
283#13063305—21no—
284#13063305—21no—
285#13063305—21no—
286#13063305—21no—
287#13063304—21no—
288#13063304C2311yescharacteristic
289#13063304C2311yescharacteristic
290#13063304C2311yescharacteristic
291#13063304C2311yescharacteristic
292#13063304C2311yescharacteristic
293#13063304C2311yescharacteristic
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302—21no—
303#13063301—21no—
304#13063299C2311yescharacteristic
305#13063299C2311yescharacteristic
306#13063299C2311yescharacteristic
307#13063299C2311yescharacteristic
308#13063299C2311yescharacteristic
309#13063299C2311yescharacteristic
310#13063298—21no—
311#13063298—21no—
312#13063298—21no—
313#13063298—21no—
314#13063298—21no—
315#13063298—21no—
316#13063297—21no—
317#13063297—21no—
318#13063297—21no—
319#13063296—21no—
320#13063296—21no—
321#13063293—21no—
322#13063293—21no—
323C4×Dic86—21no—
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326C4×Dic86C2311yescharacteristic
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333C4×Dic86C2311yescharacteristic
334#13063290—21no—
335#13063290—21no—
336#13063290—21no—
337C4×D172—21no—
338C4×D172—21no—
339C4×D172C2311yescharacteristic
340C4×D172C2311yescharacteristic
341C4×D172C2311yescharacteristic
342C4×D172C2311yescharacteristic
343C4×D172C2311yescharacteristic
344C4×D172C2311yescharacteristic
345C4×D172C2311yescharacteristic
346C4×D172C2311yescharacteristic
347C4×D172C2311yescharacteristic
348C4×D172C2311yescharacteristic
349D4×Dic43—21no—
350D4×Dic43—21no—
351#13063287—21no—
352#13063287—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365#13063284—21no—
366#13063284C2311yescharacteristic
367#13063284C2311yescharacteristic
368#13063283—21no—
369#13063283—21no—
370#13063283—21no—
371#13063283—21no—
372#13063283—21no—
373#13063282—21no—
374#13063282—21no—
375#13063281—21no—
376#13063281—21no—
377#13063281—21no—
378C2×C4⋊Dic43C2311yescharacteristic
379C2×C4⋊Dic43C2311yescharacteristic
380C2×C4⋊Dic43C2311yescharacteristic
381C2×C4⋊Dic43C2311yescharacteristic
382C4⋊C4×D43—21no—
383C4⋊C4×D43—21no—
384C4⋊C4×D43—21no—
385C4⋊C4×D43—21no—
386C2×(C2×D43)⋊C4—21no—
387C22⋊C4×D43—21no—
388C22⋊C4×D43—21no—
389C42×D43—21no—
390#13063259C2311yescharacteristic
391#13063259C2311yescharacteristic
392#13063259C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063259C2311yescharacteristic
396#13063259C2311yescharacteristic
397#13063259C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063257C2311yescharacteristic
401#13063257C2311yescharacteristic
402#13063257C2311yescharacteristic
403#13063257C2311yescharacteristic
404#13063257C2311yescharacteristic
405#13063257C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063250C2311yescharacteristic
416#13063250C2311yescharacteristic
417#13063250C2311yescharacteristic
418#13063250C2311yescharacteristic
419#13063250C2311yescharacteristic
420#13063250C2311yescharacteristic
421#13063250C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063247C2311yescharacteristic
428#13063247C2311yescharacteristic
429#13063247C2311yescharacteristic
430#13063247C2311yescharacteristic
431#13063247C2311yescharacteristic
432#13063247C2311yescharacteristic
433#13063247C2311yescharacteristic
434#13063247C2311yescharacteristic
435#13063247C2311yescharacteristic
436#13063247C2311yescharacteristic
437#13063247C2311yescharacteristic
438C2×M16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441C2×M16×C43C2311yescharacteristic
442C22×C8×C43C2311yescharacteristic
443C22×C8×C43C2311yescharacteristic
444#126×C43D411yescharacteristic
445#126×C43D411yescharacteristic
446#125×C43D411yescharacteristic
447#124×C43D411yescharacteristic
448#123×C43D411yescharacteristic
449#123×C43D411yescharacteristic
450C22⋊Q8×C43D411yescharacteristic
451#121×C43D411yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456#117×C43C2311yescharacteristic
457#117×C43C2311yescharacteristic
458C2×C42×C43C2311yescharacteristic
459C4⋊C8×C43C2311yescharacteristic
460C4⋊C8×C43C2311yescharacteristic
461C4⋊C8×C43C2311yescharacteristic
462C4⋊C8×C43C2311yescharacteristic
463C4⋊C8×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C22⋊C8×C43C2311yescharacteristic
466C22⋊C8×C43C2311yescharacteristic
467C22⋊C8×C43C2311yescharacteristic
468C22⋊C8×C43C2311yescharacteristic
469C22⋊C8×C43C2311yescharacteristic
470C22⋊C8×C43C2311yescharacteristic
471#97×C43C2311yescharacteristic
472#97×C43C2311yescharacteristic
473#97×C43C2311yescharacteristic
474#97×C43C2311yescharacteristic
475#97×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C4×C8×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C2×Q8×C43C2×D411yescharacteristic
483C2×D4×C43C2×D411yescharacteristic
484C2×D4×C43C2×D411yescharacteristic
485C2×D4×C43C2×D411yescharacteristic
486C22×C4×C43C2×D411yescharacteristic
487C22×C4×C43C2×D411yescharacteristic
488C22×C4×C43C2411yescharacteristic
489C22×C4×C43C2411yescharacteristic
490C22×C4×C43C2411yescharacteristic
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C22×Dic43—21no—
502C22×Dic43—21no—
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43—21no—
506Q8×D43—82no—
507#10621900—82no—
508#10621898—22no—
509#10621898—22no—
510#10621898—22no—
511#10621898—22no—
512#10621898—41no—
513#10621898—41no—
514#10621898—41no—
515#10621898—41no—
516C2×D172—21no—
517C2×D172—21no—
518C2×D172—21no—
519C2×D172—22no—
520C2×D172—41no—
521C2×D172C2411yescharacteristic
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×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—82no—
540C2×Dic86—22no—
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86—41no—
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549C2×Dic86C2411yescharacteristic
550C2×Dic86C2411yescharacteristic
551M16×C43—22no—
552M16×C43—22no—
553M16×C43—41no—
554M16×C43—41no—
555C2×C8×C43—22no—
556C2×C8×C43—41no—
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C2×C8×C43C2411yescharacteristic
560C2×C8×C43C2411yescharacteristic
561C2×C8×C43C2411yescharacteristic
562C2×C8×C43C2411yescharacteristic
563C2×C8×C43C2411yescharacteristic
564C2×C8×C43C2411yescharacteristic
565C4⋊C4×C43C2×D411yescharacteristic
566C4⋊C4×C43C2×D411yescharacteristic
567C4⋊C4×C43C2×D411yescharacteristic
568C4⋊C4×C43C2×D411yescharacteristic
569C4⋊C4×C43C2×D411yescharacteristic
570C4⋊C4×C43C2×D411yescharacteristic
571C4⋊C4×C43C2×D411yescharacteristic
572C4⋊C4×C43C2×D411yescharacteristic
573C4⋊C4×C43C2×D411yescharacteristic
574C4⋊C4×C43C2×D411yescharacteristic
575C22⋊C4×C43C2×D411yescharacteristic
576C22⋊C4×C43C2×D411yescharacteristic
577C22⋊C4×C43C2×D411yescharacteristic
578C22⋊C4×C43C2×D411yescharacteristic
579C22⋊C4×C43C2×D411yescharacteristic
580C22⋊C4×C43C2×D411yescharacteristic
581C22⋊C4×C43C2×D411yescharacteristic
582C22⋊C4×C43C2×D411yescharacteristic
583C22⋊C4×C43C2×D411yescharacteristic
584C22⋊C4×C43C2×D411yescharacteristic
585C42×C43C2×D411yescharacteristic
586C42×C43C2×D411yescharacteristic
587C42×C43C2411yescharacteristic
588C42×C43C2411yescharacteristic
589C42×C43C2411yescharacteristic
590C42×C43C2411yescharacteristic
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—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)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
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—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
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—
673Dic172—22no—
674Dic172—22no—
675Dic172—22no—
676Dic172—41no—
677D344—22no—
678D344—22no—
679D344—22no—
680D344—41no—
681#10621873—22no—
682#10621873—22no—
683#10621873—22no—
684#10621873—41no—
685#10621873—41no—
686#10621873—41no—
687#10621873—41no—
688#10621873#4114yescomplemented
689C23×C43C22×D411yescharacteristic
690C23×C43C22×D411yescharacteristic
691C23×C43C22×D411yescharacteristic
692C22×D43—21no—
693C22×D43—21no—
694C22×D43—21no—
695C22×D43—21no—
696C22×D43—42no—
697C22×D43—42no—
698C22×D43—81no—
699Q8×C43—41no—
700D4×C43—41no—
701D4×C43—41no—
702D4×C43—41no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—41no—
710C2×C4×C43—41no—
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C22×D411yescharacteristic
713C2×C4×C43C22×D411yescharacteristic
714C2×C4×C43C22×D411yescharacteristic
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C2511yescharacteristic
723C22⋊D43—42no—
724C22⋊D43—42no—
725C22⋊D43—42no—
726C22⋊D43—42no—
727C22⋊D43—81no—
728C22⋊D43—81no—
729C22⋊D43—81no—
730C22⋊D43—81no—
731C22⋊D43—81no—
732C22⋊D43—81no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—42no—
746C2×Dic43—81no—
747C2×Dic43—81no—
748C2×Dic43—81no—
749C2×Dic43—81no—
750D172—21no—
751D172—21no—
752D172—21no—
753D172—21no—
754D172—21no—
755D172—21no—
756D172—21no—
757D172—42no—
758D172—81no—
759D172—81no—
760D172C2×#4112yes—
761C4×D43—42no—
762C4×D43—42no—
763C4×D43—42no—
764C4×D43—42no—
765C4×D43—42no—
766C4×D43—42no—
767C4×D43—81no—
768C4×D43—81no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775Dic86—21no—
776Dic86—21no—
777Dic86—21no—
778Dic86—21no—
779Dic86—21no—
780Dic86—21no—
781Dic86—21no—
782Dic86—42no—
783Dic86—42no—
784Dic86—81no—
785Dic86—81no—
786Dic86—81no—
787Dic86C2×#4112yes—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43—21no—
792C8×C43—21no—
793C8×C43—21no—
794C8×C43—21no—
795C8×C43C2×#4112yes—
796#61508—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—21no—
802C22×C43—21no—
803C22×C43—21no—
804C22×C43—21no—
805C22×C43—21no—
806C22×C43C23×D411yescharacteristic
807C2×D43—22no—
808C2×D43—41no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43—41no—
812C2×D43—41no—
813C2×D43—41no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—84no—
820C4×C43—21no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—21no—
826C4×C43—21no—
827C4×C43—21no—
828C4×C43—21no—
829C4×C43—21no—
830C4×C43—21no—
831C4×C43C22×#4111yescharacteristic
832C4×C43#58511yescharacteristic
833Dic43—22no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43—41no—
838Dic43—41no—
839Dic43—41no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845#3524—431no—
846#3520—431no—
847#3401—431no—
848#3386—431no—
849#3377—431no—
850#3373—431no—
851#3357—431no—
852#3345—431no—
853#3344—431no—
854#3333—431no—
855#3323—431no—
856#3319—431no—
857#3316—431no—
858#3308—431no—
859#3307—431no—
860#3275—431no—
861#3269—431no—
862#3268—431no—
863#3179—431no—
864#3175—431no—
865#3172—431no—
866#3125—431no—
867#3124—431no—
868#3121—431no—
869#3119—431no—
870#3116—431no—
871#3114—431no—
872#2967D4311yescharacteristic, complemented
873#2952—431no—
874#2947—431no—
875C4×AGL(1,ℤ/8)—431no—
876C2×C43—41no—
877C2×C43—41no—
878C2×C43—41no—
879C2×C43D4×#4111yescharacteristic
880C2×C43#358511yescharacteristic
881C2×C43#358611yescharacteristic
882D43—42no—
883D43—81no—
884D43—81no—
885D43—81no—
886C2×#137—431no—
887C2×AGL(1,ℤ/8)—431no—
888C2×#135—431no—
889#559—431no—
890#559—861no—
891#557—431no—
892#556—431no—
893#555—431no—
894#555—861no—
895#554—431no—
896#554—431no—
897#553—431no—
898#553—861no—
899#552—431no—
900#552—861no—
901#552—861no—
902#551—861no—
903#551—861no—
904#550—431no—
905D4×Q8—431no—
906#548—431no—
907#548—431no—
908#548—861no—
909#547—431no—
910#547—431no—
911#546—431no—
912#546—431no—
913#542—431no—
914#542—431no—
915#542—431no—
916#542—861no—
917#540—431no—
918#540—861no—
919#539—861no—
920#539—861no—
921#533—431no—
922#529—431no—
923#529—861no—
924#529—861no—
925#529C2×D4311yescharacteristic
926#525—861no—
927C2×C22⋊Q8—861no—
928#520—431no—
929#520—431no—
930#520—431no—
931#519—431no—
932C4×#41—431no—
933C2×C4×D4—431no—
934#501—431no—
935#501—431no—
936#500—431no—
937#497—431no—
938#496—431no—
939#495—431no—
940#491—431no—
941#489—431no—
942#489—431no—
943#489—431no—
944#488—431no—
945#486—431no—
946#485—431no—
947#485—431no—
948#485—431no—
949#484—431no—
950#483—431no—
951#483—431no—
952#482—431no—
953#481—431no—
954#481—431no—
955#480—431no—
956#480—431no—
957#480—431no—
958#479—431no—
959#478—431no—
960#478—431no—
961#478—431no—
962#477—431no—
963#477—431no—
964#477—431no—
965#476—431no—
966#476—431no—
967#475—431no—
968#475—431no—
969#474—431no—
970#470—431no—
971#470—431no—
972#469—431no—
973#468—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#467—431no—
979#466—431no—
980#466—431no—
981#465—431no—
982#464—431no—
983#464—431no—
984#464—431no—
985#464—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#462—431no—
991#461—431no—
992#460—431no—
993#459—431no—
994#452—431no—
995#452—431no—
996#452—431no—
997#452—431no—
998#451—431no—
999#450—431no—
1000#449—431no—
1001#449—431no—
1002#449—431no—
1003#449—431no—
1004#448—431no—
1005#447—431no—
1006#446C2×D4311yescharacteristic, complemented
1007#446C2×D4311yescharacteristic, complemented
1008#442—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442—431no—
1013#441—431no—
1014#441—431no—
1015#441—431no—
1016#441—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024C4×Q16—431no—
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×SD16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16—431no—
1034C4×D8—431no—
1035C4×D8—431no—
1036#436C2×D4311yescharacteristic
1037#436C2×D4311yescharacteristic
1038#435C2×D4311yescharacteristic
1039#435C2×D4311yescharacteristic
1040#435C2×D4311yescharacteristic, complemented
1041#435C2×D4311yescharacteristic, complemented
1042#433C2×D4311yescharacteristic, complemented
1043#433C2×D4311yescharacteristic, complemented
1044#432C2×D4311yescharacteristic
1045#428—431no—
1046#428—431no—
1047C2×#106—431no—
1048#418—431no—
1049#417—431no—
1050#417—431no—
1051#417—431no—
1052#416—431no—
1053C2×#103—431no—
1054#405C2×D4311yescharacteristic, complemented
1055#405C2×D4311yescharacteristic, complemented
1056C4×M16C2×D4311yescharacteristic
1057C43#6150811yescharacteristic, complemented, Sylow
1058C2×#41—431no—
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—431no—
1062C2×#41—861no—
1063C22×Q8—431no—
1064C22×Q8—861no—
1065C22×D4—431no—
1066C23×C4—861no—
1067#137—864no—
1068AGL(1,ℤ/8)—864no—
1069#135—864no—
1070C2×Q16—431no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×Q16—431no—
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×D8—431no—
1083C2×D8—431no—
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×M16C22×D4311yescharacteristic
1087C2×M16C22×D4311yescharacteristic
1088C2×M16C22×D4311yescharacteristic
1089C2×M16C22×D4311yescharacteristic
1090C22×C8C22×D4311yescharacteristic
1091C22×C8C22×D4311yescharacteristic
1092C4⋊Q8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—431no—
1097C4⋊Q8—861no—
1098#127—431no—
1099#127—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126D17211yescharacteristic
1109#126D17211yescharacteristic
1110#125—431no—
1111#125—431no—
1112#125—861no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125D17211yescharacteristic
1119#124—431no—
1120#124—431no—
1121#124—431no—
1122#124—431no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124—861no—
1129#124—861no—
1130#124—861no—
1131#124D17211yescharacteristic
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123D17211yescharacteristic
1149#123D17211yescharacteristic
1150C22⋊Q8—431no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
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—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8D17211yescharacteristic
1172#121—431no—
1173#121—431no—
1174#121—431no—
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121—861no—
1188#121—861no—
1189#121D17211yescharacteristic
1190#120—861no—
1191#120—861no—
1192C4×Q8—431no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—431no—
1201C4×Q8—431no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×Q8—861no—
1205C4×Q8—861no—
1206C4×Q8C22×D4311yescharacteristic
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4—861no—
1233C4×D4—861no—
1234C4×D4—861no—
1235C4×D4C22×D4311yescharacteristic
1236C4×D4C22×D4311yescharacteristic
1237C4×D4C22×D4311yescharacteristic
1238#117—431no—
1239#117—431no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117—861no—
1250#117—861no—
1251#117C22×D4311yescharacteristic
1252#117C22×D4311yescharacteristic
1253C2×C4⋊C4—431no—
1254C2×C4⋊C4—431no—
1255C2×C4⋊C4—431no—
1256C2×C4⋊C4—431no—
1257C2×C4⋊C4—861no—
1258C2×C4⋊C4—861no—
1259C2×C4⋊C4—861no—
1260C2×C4⋊C4—861no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C42—861no—
1265C2×C42C22×D4311yescharacteristic
1266#107—431no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#106—431no—
1275#106—431no—
1276#106—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106—431no—
1282C4⋊C8C22×D4311yescharacteristic
1283C4⋊C8C22×D4311yescharacteristic
1284C4⋊C8C22×D4311yescharacteristic
1285C4⋊C8C22×D4311yescharacteristic
1286C4⋊C8C22×D4311yescharacteristic
1287C4⋊C8C22×D4311yescharacteristic
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103—431no—
1302#103—431no—
1303#103—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102—431no—
1320C22⋊C8C22×D4311yescharacteristic
1321C22⋊C8C22×D4311yescharacteristic
1322C22⋊C8C22×D4311yescharacteristic
1323C22⋊C8C22×D4311yescharacteristic
1324C22⋊C8C22×D4311yescharacteristic
1325C22⋊C8C22×D4311yescharacteristic
1326#97C22×D4311yescharacteristic
1327#97C22×D4311yescharacteristic
1328#97C22×D4311yescharacteristic
1329#97C22×D4311yescharacteristic
1330#97C22×D4311yescharacteristic
1331#97C22×D4311yescharacteristic
1332C4×C8C22×D4311yescharacteristic
1333C4×C8C22×D4311yescharacteristic
1334C4×C8C22×D4311yescharacteristic
1335C4×C8C22×D4311yescharacteristic
1336C24—861no—
1337#41—862no—
1338#41—862no—
1339#41—862no—
1340#41—862no—
1341#41—3442no—
1342#41—1721no—
1343#41—1721no—
1344#41—1721no—
1345#41—1721no—
1346C2×Q8—431no—
1347C2×Q8—431no—
1348C2×Q8—431no—
1349C2×Q8—431no—
1350C2×Q8—862no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8—861no—
1354C2×Q8—861no—
1355C2×Q8—861no—
1356C2×Q8—3442no—
1357C2×Q8—1721no—
1358C2×Q8C2×D17211yescharacteristic
1359C2×D4—431no—
1360C2×D4—431no—
1361C2×D4—431no—
1362C2×D4—431no—
1363C2×D4—862no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—1721no—
1378C2×D4C2×D17211yescharacteristic
1379C2×D4C2×D17211yescharacteristic
1380C2×D4C2×D17211yescharacteristic
1381C22×C4—861no—
1382C22×C4—861no—
1383C22×C4—861no—
1384C22×C4—861no—
1385C22×C4—861no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—3442no—
1401C22×C4C2×D17211yescharacteristic
1402C22×C4C2×D17211yescharacteristic
1403C22×C4C23×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405C22×C4C23×D4311yescharacteristic
1406Q16—862no—
1407Q16—862no—
1408Q16—862no—
1409Q16—1721no—
1410SD16—434no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—1721no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—862no—
1419D8—862no—
1420D8—862no—
1421D8—1721no—
1422M16—22no—
1423M16—22no—
1424M16—41no—
1425M16—41no—
1426C2×C8—22no—
1427C2×C8—41no—
1428C2×C8C23×D4311yescharacteristic
1429C2×C8C23×D4311yescharacteristic
1430C2×C8C23×D4311yescharacteristic
1431C2×C8C23×D4311yescharacteristic
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C2×C8C23×D4311yescharacteristic
1436C4⋊C4—431no—
1437C4⋊C4—431no—
1438C4⋊C4—431no—
1439C4⋊C4—431no—
1440C4⋊C4—431no—
1441C4⋊C4—431no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
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⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4C2×D17211yescharacteristic
1475C4⋊C4C2×D17211yescharacteristic
1476C4⋊C4C2×D17211yescharacteristic
1477C4⋊C4C2×D17211yescharacteristic
1478C4⋊C4C2×D17211yescharacteristic
1479C4⋊C4C2×D17211yescharacteristic
1480C4⋊C4C2×D17211yescharacteristic
1481C4⋊C4C2×D17211yescharacteristic
1482C4⋊C4C2×D17211yescharacteristic
1483C4⋊C4C2×D17211yescharacteristic
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⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4C2×D17211yescharacteristic
1517C22⋊C4C2×D17211yescharacteristic
1518C22⋊C4C2×D17211yescharacteristic
1519C22⋊C4C2×D17211yescharacteristic
1520C22⋊C4C2×D17211yescharacteristic
1521C22⋊C4C2×D17211yescharacteristic
1522C22⋊C4C2×D17211yescharacteristic
1523C22⋊C4C2×D17211yescharacteristic
1524C22⋊C4C2×D17211yescharacteristic
1525C22⋊C4C2×D17211yescharacteristic
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42—861no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42C2×D17211yescharacteristic
1539C42C2×D17211yescharacteristic
1540C42C23×D4311yescharacteristic
1541C42C23×D4311yescharacteristic
1542C42C23×D4311yescharacteristic
1543C42C23×D4311yescharacteristic
1544C23—861no—
1545C23—861no—
1546C23—861no—
1547C23—861no—
1548C23—3441no—
1549C23—1722no—
1550C23—1722no—
1551C23C22×D17211yescharacteristic
1552C23C22×D17211yescharacteristic
1553C23C22×D17211yescharacteristic
1554Q8—41no—
1555Q8—432no—
1556Q8—861no—
1557Q8—861no—
1558Q8—861no—
1559Q8—861no—
1560Q8—861no—
1561Q8—861no—
1562Q8—861no—
1563Q8—3441no—
1564Q8—3441no—
1565Q8—3441no—
1566Q8—1722no—
1567Q8—1722no—
1568D4—41no—
1569D4—41no—
1570D4—41no—
1571D4—432no—
1572D4—861no—
1573D4—861no—
1574D4—861no—
1575D4—861no—
1576D4—861no—
1577D4—861no—
1578D4—861no—
1579D4—3441no—
1580D4—3441no—
1581D4—3441no—
1582D4—3441no—
1583D4—3441no—
1584D4—3441no—
1585D4—3441no—
1586D4—3441no—
1587D4—1722no—
1588D4—1722no—
1589D4—1722no—
1590D4—1722no—
1591D4—1722no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—861no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—861no—
1608C2×C4—861no—
1609C2×C4—861no—
1610C2×C4—861no—
1611C2×C4—861no—
1612C2×C4—3441no—
1613C2×C4—3441no—
1614C2×C4—3441no—
1615C2×C4—3441no—
1616C2×C4—3441no—
1617C2×C4—3441no—
1618C2×C4—3441no—
1619C2×C4—3441no—
1620C2×C4—3441no—
1621C2×C4—3441no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—1722no—
1625C2×C4—1722no—
1626C2×C4—1722no—
1627C2×C4—1722no—
1628C2×C4—1722no—
1629C2×C4—1722no—
1630C2×C4—1722no—
1631C2×C4C22×D17211yescharacteristic
1632C2×C4C22×D17211yescharacteristic
1633C2×C4C22×D17211yescharacteristic
1634C2×C4C22×D17211yescharacteristic
1635C2×C4C22×D17211yescharacteristic
1636C2×C4C22×D17211yescharacteristic
1637C2×C4C22×D17211yescharacteristic
1638C2×C4C22×D17211yescharacteristic
1639C2×C4C22×D17211yescharacteristic
1640C2×C4C22×D17211yescharacteristic
1641C2×C4C22×D17211yescharacteristic
1642C2×C4C24×D4311yescharacteristic
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—21no—
1649C8—21no—
1650C8#41×D4312yes—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—862no—
1661C22—3444no—
1662C22—1721no—
1663C22—1721no—
1664C22—1721no—
1665C22—1721no—
1666C22—1721no—
1667C22—1721no—
1668C22—1721no—
1669C22—1721no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22C23×D17211yescharacteristic
1674C4—21no—
1675C4—21no—
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—862no—
1686C4—1721no—
1687C4—1721no—
1688C4—1721no—
1689C4—1721no—
1690C4—1721no—
1691C4—1721no—
1692C4—1721no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4C2×#41×D4311yescharacteristic
1698C4#1458373511yescharacteristic
1699C2—41no—
1700C2—41no—
1701C2—41no—
1702C2—3441no—
1703C2—3441no—
1704C2—3441no—
1705C2—1722no—
1706C2#41×D17211yescharacteristic
1707C2#1914937611yescharacteristic
1708C2#1914938311yescharacteristic
subgroupG/H
centerC22C23×D172
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#2967C2
socleC22×C43C23×D4
hypercenter#2967D43
hypocenterC43#61508
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #529 ◁ #2967

Complements

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

NH ≅ G/Ntype
1. #19148700C2semidirect
2. #19148646C2semidirect
3. #19147663C2semidirect
4. #19147518C2semidirect
5. #19147439C2semidirect
6. #19147389C2semidirect
7. #19147222C2semidirect
8. #19147067C2semidirect
9. #19147052C2semidirect
10. #19146934C2semidirect
11. #19146813C2semidirect
12. #19146753C2semidirect
13. #19146708C2semidirect
14. #19146588C2semidirect
15. #19146573C2semidirect
16. #19146231C2semidirect
17. #19146155C2semidirect
18. #19146140C2semidirect
19. #19145278C2semidirect
20. #19145234C2semidirect
21. #19145201C2semidirect
22. #19144874C2semidirect
23. #19144859C2semidirect
24. #19144826C2semidirect
25. #19144796C2semidirect
26. #19144758C2semidirect
27. #19144735C2semidirect
28. #19143480C2semidirect
29. #19143440C2semidirect
30. C4×#13063353C2semidirect
31. C43×#2967C2semidirect
35. #14583634C22semidirect
37. #14583627C22semidirect
43. #14583595C22semidirect
53. #14583558C22semidirect
61. #14583520C22semidirect
63. #14583504C22semidirect
75. #14583379C22semidirect
76. #14583376C22semidirect
79. #14583308C22semidirect
80. #14583308C22semidirect
81. #14583304C22semidirect
82. #14583293C22semidirect
85. #14583268C22semidirect
87. #14583259C22semidirect
88. #14583259C22semidirect
90. #14583246C22semidirect
93. #14583241C22semidirect
94. #14583235C22semidirect
96. #14583230C22semidirect
99. #14583218C22semidirect
101. #14583213C22semidirect
102. #14583213C22semidirect
103. #14583207C22semidirect
107. #14583195C22semidirect
108. #14583195C22semidirect
109. #14583195C22semidirect
110. #14583190C22semidirect
111. #14583190C22semidirect
112. #14583185C22semidirect
113. #14583185C22semidirect
121. #14583145C22semidirect
122. #14583145C22semidirect
123. #14583140C22semidirect
126. #14583128C22semidirect
130. #14583122C22semidirect
135. #14583110C22semidirect
136. #14583105C22semidirect
137. #14583100C22semidirect
142. #14583063C22semidirect
143. #14583057C22semidirect
156. #14583007C22semidirect
157. #14583007C22semidirect
158. #14583007C22semidirect
159. #14583007C22semidirect
165. #14583001C22semidirect
166. #14583001C22semidirect
167. C4×Dic172C22semidirect
168. C4×Dic172C22semidirect
169. C4×Dic172C22semidirect
174. C4×#10621873C22semidirect
175. C4×#10621873C22semidirect
176. C4×#10621873C22semidirect
180. #14582941C22semidirect
181. C2×#13063257C22semidirect
185. #14582901C22semidirect
187. C2×#13063250C22semidirect
189. C43×#446C22semidirect
190. C43×#446C22semidirect
195. C43×#435C22semidirect
196. C43×#435C22semidirect
197. C43×#433C22semidirect
198. C43×#433C22semidirect
200. C43×#405C22semidirect
201. C43×#405C22semidirect
688. #10621873#41semidirect
872. #2967D43semidirect
1006. #446C2×D43semidirect
1007. #446C2×D43semidirect
1040. #435C2×D43semidirect
1041. #435C2×D43semidirect
1042. #433C2×D43semidirect
1043. #433C2×D43semidirect
1054. #405C2×D43semidirect
1055. #405C2×D43semidirect
1057. C43#61508semidirect

Maximal subgroups

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

subgroupindex
#191487002
#191486462
#191476632
#191475182
#191474392
#191473892
#191472222
#191470672
#191470522
#191469342
#191468132
#191467532
#191467082
#191465882
#191465732
#191462312
#191461552
#191461402
#191452782
#191452342
#191452012
#191448742
#191448592
#191448262
#191447962
#191447582
#191447352
#191434802
#191434402
C4×#130633532
C43×#29672
#6150843