Finite Group Databasebeta

← #31741396

Subgroups — #31741396

Order 17152.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574507C211yesmaximal, characteristic, complemented
2#22573837C211yesmaximal, characteristic, complemented
3#22572433C211yesmaximal, characteristic, complemented
4#22572430C211yesmaximal, characteristic, complemented
5#22572350C211yesmaximal, characteristic, complemented
6#22572294C211yesmaximal, characteristic, complemented
7#22572251C211yesmaximal, characteristic, complemented
8#22572237C211yesmaximal, characteristic, complemented
9#22572061C211yesmaximal, characteristic, complemented
10#22572028C211yesmaximal, characteristic, complemented
11#22571916C211yesmaximal, characteristic, complemented
12#22571843C211yesmaximal, characteristic, complemented
13#22571808C211yesmaximal, characteristic, complemented
14#22571740C211yesmaximal, characteristic, complemented
15#22571720C211yesmaximal, characteristic, complemented
16#22571704C211yesmaximal, characteristic, complemented
17#22571697C211yesmaximal, characteristic, complemented
18#22571308C211yesmaximal, characteristic, complemented
19#22571274C211yesmaximal, characteristic, complemented
20#22571079C211yesmaximal, characteristic, complemented
21#22571064C211yesmaximal, characteristic, complemented
22#22571036C211yesmaximal, characteristic, complemented
23#22570998C211yesmaximal, characteristic, complemented
24#22570459C211yesmaximal, characteristic, complemented
25#22570399C211yesmaximal, characteristic, complemented
26#22569514C211yesmaximal, characteristic, complemented
27#22569482C211yesmaximal, characteristic, complemented
28#22569437C211yesmaximal, characteristic, complemented
29C2×#16863545C211yesmaximal, characteristic, complemented
30#22569251C211yesmaximal, characteristic, complemented
31D4×SD16×C67C211yesmaximal, characteristic, complemented
32C2×#14524088C2211yescharacteristic
33C22×D4×D67C2211yescharacteristic
34C2×#14524074C2211yescharacteristic, complemented
35C2×#14524070C2211yescharacteristic, complemented
36C2×#14524070C2211yescharacteristic, complemented
37C2×#14524070C2211yescharacteristic, complemented
38C2×#14524064C2211yescharacteristic, complemented
39C22×#11761615C2211yescharacteristic, complemented
40#16864145—21no—
41#16864142—21no—
42#16864117C2211yescharacteristic, complemented
43#16864104C2211yescharacteristic, complemented
44#16864100—21no—
45#16864095—21no—
46#16864092C2211yescharacteristic, complemented
47#16864087C2211yescharacteristic, complemented
48#16864057C2211yescharacteristic, complemented
49#16864057C2211yescharacteristic, complemented
50#16864049C2211yescharacteristic, complemented
51#16864043C2211yescharacteristic
52#16864042C2211yescharacteristic
53#16864041C2211yescharacteristic
54#16864040C2211yescharacteristic
55#16864035—21no—
56#16864033—21no—
57#16864031C2211yescharacteristic
58#16864030C2211yescharacteristic
59D4×C22⋊D67—21no—
60D4×C22⋊D67C2211yescharacteristic
61#16864028—21no—
62#16864020—21no—
63#16864018C2211yescharacteristic, complemented
64#16864007C2211yescharacteristic, complemented
65#16863992—21no—
66#16863986—21no—
67#16863979—21no—
68#16863976C2211yescharacteristic, complemented
69#16863970C2211yescharacteristic, complemented
70#16863962C2211yescharacteristic
71#16863959C2211yescharacteristic
72#16863956—21no—
73#16863954—21no—
74#16863909C2211yescharacteristic, complemented
75#16863906C2211yescharacteristic
76#16863905C2211yescharacteristic
77C2×#14524019C2211yescharacteristic, complemented
78C2×#14524011—21no—
79#120×D67—21no—
80#16863868C2211yescharacteristic
81#16863788C2211yescharacteristic, complemented
82#16863782C2211yescharacteristic, complemented
83#16863777C2211yescharacteristic, complemented
84#16863760C2211yescharacteristic, complemented
85#16863754C2211yescharacteristic, complemented
86#16863751C2211yescharacteristic, complemented
87#16863741C2211yescharacteristic, complemented
88#16863740C2211yescharacteristic, complemented
89#16863736C2211yescharacteristic, complemented
90#16863736C2211yescharacteristic, complemented
91#16863735C2211yescharacteristic, complemented
92#16863732C2211yescharacteristic, complemented
93#16863722C2211yescharacteristic, complemented
94#16863721C2211yescharacteristic, complemented
95#16863719C2211yescharacteristic, complemented
96#16863717C2211yescharacteristic, complemented
97#16863716C2211yescharacteristic, complemented
98#16863712C2211yescharacteristic, complemented
99#16863708C2211yescharacteristic, complemented
100#16863697C2211yescharacteristic, complemented
101#16863696C2211yescharacteristic, complemented
102#16863685C2211yescharacteristic, complemented
103#16863674C2211yescharacteristic, complemented
104#16863653C2211yescharacteristic, complemented
105#16863653C2211yescharacteristic, complemented
106#16863647C2211yescharacteristic, complemented
107#16863645C2211yescharacteristic, complemented
108#16863644C2211yescharacteristic, complemented
109#16863639C2211yescharacteristic, complemented
110#16863639C2211yescharacteristic, complemented
111#16863639C2211yescharacteristic, complemented
112#16863635C2211yescharacteristic, complemented
113#16863632C2211yescharacteristic, complemented
114#16863630C2211yescharacteristic, complemented
115#16863628C2211yescharacteristic, complemented
116#16863625C2211yescharacteristic, complemented
117#16863622C2211yescharacteristic, complemented
118#16863618C2211yescharacteristic, complemented
119#16863616C2211yescharacteristic, complemented
120#16863616C2211yescharacteristic, complemented
121#16863614C2211yescharacteristic, complemented
122#16863613C2211yescharacteristic, complemented
123#16863612C2211yescharacteristic, complemented
124#16863598C2211yescharacteristic, complemented
125#16863594C2211yescharacteristic, complemented
126#16863594C2211yescharacteristic, complemented
127#16863588C2211yescharacteristic, complemented
128#16863561C2211yescharacteristic, complemented
129#16863556C2211yescharacteristic, complemented
130#16863555C2211yescharacteristic, complemented
131#16863555C2211yescharacteristic, complemented
132#16863555C2211yescharacteristic, complemented
133#16863555C2211yescharacteristic, complemented
134#16863555C2211yescharacteristic, complemented
135#16863552C2211yescharacteristic, complemented
136#16863546C2211yescharacteristic, complemented
137#16863545C2211yescharacteristic
138#16863545C2211yescharacteristic
139#16863545C2211yescharacteristic
140#16863545C2211yescharacteristic, complemented
141#16863545C2211yescharacteristic, complemented
142#16863545C2211yescharacteristic, complemented
143#16863545C2211yescharacteristic, complemented
144#16863545C2211yescharacteristic, complemented
145#16863545C2211yescharacteristic, complemented
146#16863545C2211yescharacteristic, complemented
147#16863545C2211yescharacteristic, complemented
148#16863545C2211yescharacteristic, complemented
149#16863544C2211yescharacteristic, complemented
150#16863543C2211yescharacteristic, complemented
151#16863542C2211yescharacteristic, complemented
152#16863540C2211yescharacteristic, complemented
153#16863540C2211yescharacteristic, complemented
154#16863535C2211yescharacteristic, complemented
155#16863532C2211yescharacteristic, complemented
156#16863531C2211yescharacteristic
157#16863531C2211yescharacteristic, complemented
158#16863530C2211yescharacteristic, complemented
159#16863530C2211yescharacteristic, complemented
160#16863506C2211yescharacteristic, complemented
161#16863499C2211yescharacteristic, complemented
162#16863497C2211yescharacteristic, complemented
163#16863494C2211yescharacteristic, complemented
164SD16×Dic67C2211yescharacteristic, complemented
165#16863481C2211yescharacteristic, complemented
166C4×D536C2211yescharacteristic, complemented
167#16863475C2211yescharacteristic, complemented
168#16863471C2211yescharacteristic, complemented
169#16863468C2211yescharacteristic, complemented
170#16863467C2211yescharacteristic, complemented
171#16863466C2211yescharacteristic, complemented
172#16863464C2211yescharacteristic, complemented
173C8×C22⋊D67C2211yescharacteristic, complemented
174#16863456C2211yescharacteristic, complemented
175#16863455C2211yescharacteristic, complemented
176#16863401C2211yescharacteristic, complemented
177#16863399C2211yescharacteristic, complemented
178#16863399C2211yescharacteristic, complemented
179#16863394C2211yescharacteristic, complemented
180#16863393C2211yescharacteristic, complemented
181C2×#14523965C2211yescharacteristic, complemented
182C2×#14523964C2211yescharacteristic, complemented
183#102×D67C2211yescharacteristic, complemented
184#16863362C2211yescharacteristic, complemented
185#16863361C2211yescharacteristic, complemented
186#16863358C2211yescharacteristic, complemented
187C2×(C2×D67)⋊C8C2211yescharacteristic, complemented
188C22×SD16×C67C2211yescharacteristic, complemented
189C22×SD16×C67C2211yescharacteristic, complemented
190D4×Q8×C67C2211yescharacteristic, complemented
191D42×C67C2211yescharacteristic
192#492×C67C2211yescharacteristic, complemented
193#465×C67C2211yescharacteristic, complemented
194#465×C67C2211yescharacteristic, complemented
195#461×C67C2211yescharacteristic, complemented
196#460×C67C2211yescharacteristic, complemented
197#450×C67C2211yescharacteristic, complemented
198#450×C67C2211yescharacteristic, complemented
199#448×C67C2211yescharacteristic, complemented
200#448×C67C2211yescharacteristic, complemented
201C4×SD16×C67C2211yescharacteristic, complemented
202C8×D4×C67C2211yescharacteristic, complemented
203C24×D67—21no—
204#14524088—42no—
205#14524088—42no—
206C2×#11761629C2311yescharacteristic
207C2×#11761629C2311yescharacteristic, complemented
208C2×#11761628C2311yescharacteristic
209C2×#11761628C2311yescharacteristic
210C2×#11761627—21no—
211C2×#11761627C2311yescharacteristic
212C2×#11761627C2311yescharacteristic
213C22×D268C2311yescharacteristic
214C22×C22⋊D67—21no—
215C22×C22⋊D67—21no—
216C22×C22⋊D67—21no—
217C22×C22⋊D67—21no—
218C2×D4×D67—21no—
219C2×D4×D67—21no—
220C2×D4×D67—21no—
221C2×D4×D67—21no—
222C2×D4×D67—21no—
223C2×D4×D67—42no—
224C2×D4×D67—42no—
225C2×D4×D67C2311yescharacteristic
226C2×D4×D67C2311yescharacteristic
227C2×D4×D67C2311yescharacteristic
228C2×D4×D67C2311yescharacteristic
229C2×D4×D67C2311yescharacteristic
230C22×C4×D67C2311yescharacteristic
231#14524074—42no—
232#14524070—42no—
233#14524070—42no—
234#14524070—42no—
235#14524064—42no—
236C2×#11761618C2311yescharacteristic, complemented
237C2×#11761618C2311yescharacteristic, complemented
238C2×#11761618C2311yescharacteristic, complemented
239C2×#11761617C2311yescharacteristic, complemented
240C2×#11761615—42no—
241C2×#11761615C2311yescharacteristic
242C2×#11761615C2311yescharacteristic
243C2×#11761615C2311yescharacteristic
244C2×#11761615C2311yescharacteristic
245C2×#11761615C2311yescharacteristic
246C2×#11761615C2311yescharacteristic
247C2×D536C2311yescharacteristic
248C2×D536C2311yescharacteristic
249C2×#11761613C2311yescharacteristic
250C2×#11761613C2311yescharacteristic
251C2×#11761613C2311yescharacteristic, complemented
252C2×#11761612C2311yescharacteristic, complemented
253C2×#11761611C2311yescharacteristic
254C2×#11761611C2311yescharacteristic
255C2×#11761611C2311yescharacteristic, complemented
256C22×C67⋊C8C2311yescharacteristic
257C2×C8×D67C2311yescharacteristic, complemented
258#14524042C2311yescharacteristic, complemented
259#14524041—21no—
260#14524039—21no—
261#14524039C2311yescharacteristic
262#14524038—21no—
263#14524038—21no—
264#14524038—21no—
265#14524038—21no—
266#14524037—21no—
267#14524037—21no—
268#14524036—21no—
269#14524035C2311yescharacteristic, complemented
270#14524033—21no—
271#14524033—21no—
272#14524033—21no—
273#14524033—21no—
274#14524032—21no—
275#14524032—21no—
276#14524032—21no—
277#14524032C2311yescharacteristic, complemented
278#14524031—21no—
279#14524031C2311yescharacteristic
280#14524030C2311yescharacteristic
281#14524029—21no—
282#14524029—21no—
283#14524028—21no—
284#14524028—21no—
285#14524028—21no—
286#14524028—21no—
287#14524028—21no—
288#14524028—21no—
289#14524028D411yescharacteristic
290#14524027—21no—
291#14524026—21no—
292#14524026—21no—
293#14524025—21no—
294#14524025—21no—
295#14524025—21no—
296#14524025D411yescharacteristic
297#14524024—21no—
298#14524023—21no—
299#14524023C2311yescharacteristic
300#14524022C2311yescharacteristic
301#14524021—21no—
302#14524021—21no—
303#14524021D411yescharacteristic
304#14524020—21no—
305#14524020D411yescharacteristic
306#14524019—21no—
307#14524019—21no—
308#14524019—21no—
309#14524019—21no—
310#14524019C2311yescharacteristic
311#14524019C2311yescharacteristic
312#14524019C2311yescharacteristic
313#14524019C2311yescharacteristic
314#14524019C2311yescharacteristic
315#14524019C2311yescharacteristic, complemented
316#14524019C2311yescharacteristic, complemented
317#14524018—21no—
318#14524018—21no—
319#14524018C2311yescharacteristic
320#14524018C2311yescharacteristic
321#14524017—21no—
322#14524017—21no—
323#14524017—21no—
324#14524017C2311yescharacteristic
325#14524017C2311yescharacteristic
326#14524017C2311yescharacteristic, complemented
327#14524016—21no—
328#14524016—21no—
329#14524016—21no—
330#14524016—21no—
331#14524016D411yescharacteristic
332#14524015—21no—
333#14524015—21no—
334#14524015—21no—
335#14524015—21no—
336#14524015—21no—
337#14524015D411yescharacteristic
338#14524014—21no—
339#14524014—21no—
340#14524014C2311yescharacteristic
341#14524014C2311yescharacteristic
342#14524013—21no—
343#14524013—21no—
344#14524013—21no—
345#14524013—21no—
346#14524013D411yescharacteristic
347#14524012—21no—
348#14524012—21no—
349#14524011—21no—
350#14524011—21no—
351#14524011—21no—
352#14524011—21no—
353#14524011—21no—
354#14524011—21no—
355#14524011—21no—
356#14524011—21no—
357#14524011—21no—
358#14524011—21no—
359#14524011D411yescharacteristic
360Q8×Dic67C2311yescharacteristic, complemented
361Q8×Dic67C2311yescharacteristic, complemented
362#14524008—21no—
363C4×D268C2311yescharacteristic
364C4×D268C2311yescharacteristic
365C4×D268C2311yescharacteristic, complemented
366D4×Dic67—21no—
367D4×Dic67C2311yescharacteristic
368#14524005—21no—
369#14524005C2311yescharacteristic
370C4×C22⋊D67—21no—
371C4×C22⋊D67—21no—
372C4×C22⋊D67—21no—
373C4×C22⋊D67C2311yescharacteristic
374C4×C22⋊D67C2311yescharacteristic
375(C22⋊D67)⋊C4—21no—
376(C22⋊D67)⋊C4—21no—
377(C22⋊D67)⋊C4—21no—
378(C22⋊D67)⋊C4—21no—
379(C22⋊D67)⋊C4—21no—
380#14524002C2311yescharacteristic, complemented
381#14524001C2311yescharacteristic
382#14524001C2311yescharacteristic
383#14524000—21no—
384#14524000C2311yescharacteristic
385C2×C4⋊Dic67C2311yescharacteristic
386C2×Dic67⋊C4—21no—
387C4⋊C4×D67—21no—
388C4⋊C4×D67C2311yescharacteristic, complemented
389C2×C22⋊Dic67—21no—
390C2×(C2×D67)⋊C4—21no—
391C2×(C2×D67)⋊C4—21no—
392C2×(C2×D67)⋊C4—21no—
393C22⋊C4×D67—21no—
394C22⋊C4×D67—21no—
395C22⋊C4×D67—21no—
396#14523977C2311yescharacteristic, complemented
397#14523977C2311yescharacteristic, complemented
398#14523976C2311yescharacteristic, complemented
399#14523976C2311yescharacteristic, complemented
400#14523975C2311yescharacteristic, complemented
401#14523974C2311yescharacteristic, complemented
402#14523974C2311yescharacteristic, complemented
403C4⋊(C67⋊C8)C2311yescharacteristic, complemented
404Dic67⋊C8C2311yescharacteristic, complemented
405Dic67⋊C8C2311yescharacteristic, complemented
406#14523968C2311yescharacteristic, complemented
407#14523968C2311yescharacteristic, complemented
408#14523968C2311yescharacteristic, complemented
409#14523967C2311yescharacteristic, complemented
410#14523967C2311yescharacteristic, complemented
411#14523967C2311yescharacteristic, complemented
412#14523966C2311yescharacteristic, complemented
413#14523965C2311yescharacteristic
414#14523965C2311yescharacteristic
415#14523965C2311yescharacteristic
416#14523965C2311yescharacteristic
417#14523965C2311yescharacteristic
418#14523965C2311yescharacteristic
419#14523965C2311yescharacteristic, complemented
420#14523964C2311yescharacteristic
421#14523964C2311yescharacteristic
422#14523964C2311yescharacteristic
423#14523964C2311yescharacteristic
424#14523964C2311yescharacteristic
425#14523964C2311yescharacteristic
426#14523964C2311yescharacteristic, complemented
427#14523964C2311yescharacteristic, complemented
428#14523964C2311yescharacteristic, complemented
429#14523963C2311yescharacteristic
430#14523963C2311yescharacteristic
431#14523963C2311yescharacteristic, complemented
432C22⋊(C67⋊C8)C2311yescharacteristic
433C22⋊(C67⋊C8)C2311yescharacteristic, complemented
434(C2×D67)⋊C8C2311yescharacteristic
435(C2×D67)⋊C8C2311yescharacteristic
436(C2×D67)⋊C8C2311yescharacteristic
437(C2×D67)⋊C8C2311yescharacteristic
438(C2×D67)⋊C8C2311yescharacteristic
439(C2×D67)⋊C8C2311yescharacteristic
440(C2×D67)⋊C8C2311yescharacteristic, complemented
441(C2×D67)⋊C8C2311yescharacteristic, complemented
442#14523954C2311yescharacteristic, complemented
443#14523953C2311yescharacteristic, complemented
444C8×Dic67C2311yescharacteristic, complemented
445C22×Q8×C67C2311yescharacteristic
446C22×Q8×C67C2311yescharacteristic, complemented
447C22×D4×C67—21no—
448C22×D4×C67C2311yescharacteristic
449C22×D4×C67C2311yescharacteristic
450C2×SD16×C67—42no—
451C2×SD16×C67—42no—
452C2×SD16×C67C2311yescharacteristic
453C2×SD16×C67C2311yescharacteristic
454C2×SD16×C67C2311yescharacteristic
455C2×SD16×C67C2311yescharacteristic
456C2×SD16×C67C2311yescharacteristic
457C2×SD16×C67C2311yescharacteristic
458C2×SD16×C67C2311yescharacteristic, complemented
459C2×SD16×C67C2311yescharacteristic, complemented
460C2×SD16×C67C2311yescharacteristic, complemented
461C22×C8×C67C2311yescharacteristic
462C22×C8×C67C2311yescharacteristic, complemented
463C4⋊Q8×C67—21no—
464C4⋊Q8×C67C2311yescharacteristic, complemented
465#127×C67C2311yescharacteristic
466C22⋊Q8×C67—21no—
467C22⋊Q8×C67—21no—
468C22⋊Q8×C67C2311yescharacteristic
469C22⋊Q8×C67C2311yescharacteristic, complemented
470#121×C67—21no—
471#121×C67C2311yescharacteristic
472#121×C67C2311yescharacteristic
473#120×C67—21no—
474#120×C67—21no—
475C4×Q8×C67C2311yescharacteristic, complemented
476C4×D4×C67—21no—
477C4×D4×C67C2311yescharacteristic
478C4×D4×C67C2311yescharacteristic
479#106×C67C2311yescharacteristic, complemented
480C4⋊C8×C67C2311yescharacteristic, complemented
481#103×C67C2311yescharacteristic, complemented
482#103×C67C2311yescharacteristic, complemented
483#103×C67C2311yescharacteristic, complemented
484#102×C67C2311yescharacteristic
485#102×C67C2311yescharacteristic
486#102×C67C2311yescharacteristic, complemented
487C22⋊C8×C67C2311yescharacteristic
488C22⋊C8×C67C2311yescharacteristic, complemented
489C4×C8×C67C2311yescharacteristic, complemented
490C23×D67—21no—
491C23×D67—21no—
492C23×D67—21no—
493C23×D67—21no—
494C23×D67—21no—
495C23×D67—21no—
496C23×D67—44no—
497C23×D67—82no—
498C23×D67—82no—
499C23×D67C2×D411yescharacteristic
500#11761629—41no—
501#11761629—41no—
502#11761629—41no—
503#11761629—41no—
504#11761628—22no—
505#11761628—41no—
506#11761628—41no—
507#11761628—41no—
508#11761627—22no—
509#11761627—41no—
510#11761627—41no—
511#11761627—41no—
512#11761627—44no—
513C2×Dic134—21no—
514C2×Dic134C2×D411yescharacteristic
515C2×Dic134C2411yescharacteristic
516C2×D268—22no—
517C2×D268—21no—
518C2×D268—21no—
519C2×D268—21no—
520C2×D268—21no—
521C2×D268—21no—
522C2×D268—41no—
523C2×D268C2×D411yescharacteristic
524C2×D268C2×D411yescharacteristic
525C2×D268C2411yescharacteristic
526C2×D268C2411yescharacteristic
527C2×D268C2411yescharacteristic
528C2×C22⋊D67—21no—
529C2×C22⋊D67—21no—
530C2×C22⋊D67—21no—
531C2×C22⋊D67—21no—
532C2×C22⋊D67—21no—
533C2×C22⋊D67—21no—
534C2×C22⋊D67—21no—
535C2×C22⋊D67—21no—
536C2×C22⋊D67—21no—
537C2×C22⋊D67—21no—
538C2×C22⋊D67—21no—
539C2×C22⋊D67—21no—
540C2×C22⋊D67—21no—
541C2×C22⋊D67—21no—
542C2×C22⋊D67—21no—
543C2×C22⋊D67—44no—
544C2×C22⋊D67—44no—
545C2×C22⋊D67—44no—
546C2×C22⋊D67—82no—
547C2×C22⋊D67C2×D411yescharacteristic
548C2×C22⋊D67C2×D411yescharacteristic
549C2×C22⋊D67C2×D411yescharacteristic
550C2×C22⋊D67C2×D411yescharacteristic
551D4×D67—22no—
552D4×D67—22no—
553D4×D67—22no—
554D4×D67—22no—
555D4×D67—22no—
556D4×D67—41no—
557D4×D67—41no—
558D4×D67—41no—
559D4×D67—41no—
560D4×D67—41no—
561D4×D67—44no—
562D4×D67—44no—
563D4×D67—44no—
564D4×D67—82no—
565D4×D67—82no—
566C22×Dic67—21no—
567C22×Dic67—21no—
568C22×Dic67—21no—
569C22×Dic67—21no—
570C22×Dic67C2×D411yescharacteristic
571C2×C4×D67—21no—
572C2×C4×D67—21no—
573C2×C4×D67—21no—
574C2×C4×D67—21no—
575C2×C4×D67—21no—
576C2×C4×D67—21no—
577C2×C4×D67—21no—
578C2×C4×D67—41no—
579C2×C4×D67—41no—
580C2×C4×D67C2×D411yescharacteristic
581C2×C4×D67C2×D411yescharacteristic
582C2×C4×D67C2411yescharacteristic
583C2×C4×D67C2411yescharacteristic
584C2×C4×D67C2411yescharacteristic
585#11761618—41no—
586#11761618—41no—
587#11761618—41no—
588#11761617—41no—
589#11761615—22no—
590#11761615—22no—
591#11761615—22no—
592#11761615—41no—
593#11761615—41no—
594#11761615—41no—
595D536—22no—
596D536—41no—
597#11761613—22no—
598#11761613—41no—
599#11761613—41no—
600#11761612—41no—
601#11761611—41no—
602#11761611—41no—
603#11761611—41no—
604C2×C67⋊C8—41no—
605C2×C67⋊C8C2411yescharacteristic
606C2×C67⋊C8C2411yescharacteristic
607C2×C67⋊C8C2411yescharacteristic
608C2×C67⋊C8C2411yescharacteristic
609C8×D67—41no—
610C4⋊Dic67—21no—
611C4⋊Dic67—21no—
612C4⋊Dic67—21no—
613C4⋊Dic67—21no—
614C4⋊Dic67C2×D411yescharacteristic
615C4⋊Dic67C2411yescharacteristic
616C4⋊Dic67C2411yescharacteristic
617C4⋊Dic67C2411yescharacteristic
618C4⋊Dic67C2411yescharacteristic
619Dic67⋊C4—21no—
620Dic67⋊C4—21no—
621Dic67⋊C4—21no—
622Dic67⋊C4—21no—
623Dic67⋊C4—21no—
624Dic67⋊C4—21no—
625Dic67⋊C4—21no—
626Dic67⋊C4—21no—
627Dic67⋊C4—21no—
628Dic67⋊C4—21no—
629Dic67⋊C4—21no—
630Dic67⋊C4—21no—
631Dic67⋊C4C2×D411yescharacteristic
632Dic67⋊C4C2×D411yescharacteristic
633Dic67⋊C4C2×D411yescharacteristic
634Dic67⋊C4C2×D411yescharacteristic
635C22⋊Dic67—21no—
636C22⋊Dic67—21no—
637C22⋊Dic67—21no—
638C22⋊Dic67—21no—
639C22⋊Dic67—21no—
640C22⋊Dic67—21no—
641C22⋊Dic67—21no—
642C22⋊Dic67C2×D411yescharacteristic
643C22⋊Dic67C2×D411yescharacteristic
644(C2×D67)⋊C4—21no—
645(C2×D67)⋊C4—21no—
646(C2×D67)⋊C4—21no—
647(C2×D67)⋊C4—21no—
648(C2×D67)⋊C4—21no—
649(C2×D67)⋊C4—21no—
650(C2×D67)⋊C4—21no—
651(C2×D67)⋊C4—21no—
652(C2×D67)⋊C4—21no—
653(C2×D67)⋊C4—21no—
654(C2×D67)⋊C4—21no—
655(C2×D67)⋊C4—21no—
656(C2×D67)⋊C4—21no—
657(C2×D67)⋊C4—21no—
658(C2×D67)⋊C4—21no—
659(C2×D67)⋊C4—21no—
660(C2×D67)⋊C4—21no—
661(C2×D67)⋊C4—21no—
662(C2×D67)⋊C4—21no—
663(C2×D67)⋊C4—21no—
664(C2×D67)⋊C4—21no—
665(C2×D67)⋊C4—21no—
666(C2×D67)⋊C4C2×D411yescharacteristic
667(C2×D67)⋊C4C2×D411yescharacteristic
668(C2×D67)⋊C4C2×D411yescharacteristic
669(C2×D67)⋊C4C2×D411yescharacteristic
670(C2×D67)⋊C4C2×D411yescharacteristic
671(C2×D67)⋊C4C2×D411yescharacteristic
672C4×Dic67—21no—
673C4×Dic67—21no—
674C4×Dic67—21no—
675C4×Dic67—21no—
676C4×Dic67—21no—
677C4×Dic67C2411yescharacteristic
678C24×C67—21no—
679C24×C67—21no—
680C2×Q8×C67—21no—
681C2×Q8×C67—21no—
682C2×Q8×C67—41no—
683C2×Q8×C67—41no—
684C2×Q8×C67—41no—
685C2×Q8×C67—41no—
686C2×Q8×C67C2411yescharacteristic
687C2×Q8×C67C2411yescharacteristic
688C2×Q8×C67C2411yescharacteristic
689C2×D4×C67—22no—
690C2×D4×C67—22no—
691C2×D4×C67—21no—
692C2×D4×C67—21no—
693C2×D4×C67—21no—
694C2×D4×C67—21no—
695C2×D4×C67—21no—
696C2×D4×C67—21no—
697C2×D4×C67—41no—
698C2×D4×C67—41no—
699C2×D4×C67—82no—
700C2×D4×C67C2×D411yescharacteristic
701C2×D4×C67C2411yescharacteristic
702C2×D4×C67C2411yescharacteristic
703C2×D4×C67C2411yescharacteristic
704C22×C4×C67—21no—
705C22×C4×C67—21no—
706C22×C4×C67—21no—
707C22×C4×C67C2411yescharacteristic
708C22×C4×C67C2411yescharacteristic
709SD16×C67—22no—
710SD16×C67—22no—
711SD16×C67—22no—
712SD16×C67—41no—
713SD16×C67—41no—
714SD16×C67—41no—
715SD16×C67—41no—
716SD16×C67—41no—
717SD16×C67—41no—
718C2×C8×C67—41no—
719C2×C8×C67—41no—
720C2×C8×C67C2411yescharacteristic
721C2×C8×C67C2411yescharacteristic
722C2×C8×C67C2411yescharacteristic
723C2×C8×C67C2411yescharacteristic
724C4⋊C4×C67—21no—
725C4⋊C4×C67—21no—
726C4⋊C4×C67—21no—
727C4⋊C4×C67—21no—
728C4⋊C4×C67—21no—
729C4⋊C4×C67C2×D411yescharacteristic
730C4⋊C4×C67C2411yescharacteristic
731C4⋊C4×C67C2411yescharacteristic
732C22⋊C4×C67—21no—
733C22⋊C4×C67—21no—
734C22⋊C4×C67—21no—
735C22⋊C4×C67—21no—
736C22⋊C4×C67—21no—
737C22⋊C4×C67C2×D411yescharacteristic
738C22⋊C4×C67C2×D411yescharacteristic
739C42×C67—21no—
740C42×C67C2411yescharacteristic
741C23×C67—21no—
742C23×C67—21no—
743C23×C67—21no—
744C23×C67—42no—
745C23×C67—42no—
746C23×C67—42no—
747C23×C67—81no—
748C23×C67—81no—
749C23×C67—81no—
750C23×C67C22×D411yescharacteristic
751C23×C67C22×D411yescharacteristic
752C22×D67—22no—
753C22×D67—21no—
754C22×D67—24no—
755C22×D67—21no—
756C22×D67—21no—
757C22×D67—41no—
758C22×D67—41no—
759C22×D67—42no—
760C22×D67—42no—
761C22×D67—42no—
762C22×D67—42no—
763C22×D67—42no—
764C22×D67—42no—
765C22×D67—42no—
766C22×D67—42no—
767C22×D67—81no—
768C22×D67—81no—
769C22×D67—81no—
770C22×D67—81no—
771C22×D67—81no—
772C22×D67—81no—
773C22×D67—81no—
774C22×D67—81no—
775C22×D67—81no—
776C22×D67—816no—
777C22×D67C22×D411yescharacteristic
778C22×D67C22×D411yescharacteristic
779C22×D67C22×D411yescharacteristic
780Q8×C67—21no—
781Q8×C67—21no—
782Q8×C67—21no—
783Q8×C67—21no—
784Q8×C67—21no—
785Q8×C67—21no—
786Q8×C67—81no—
787Q8×C67—81no—
788D4×C67—22no—
789D4×C67—21no—
790D4×C67—21no—
791D4×C67—21no—
792D4×C67—21no—
793D4×C67—21no—
794D4×C67—42no—
795D4×C67—42no—
796D4×C67—42no—
797D4×C67—81no—
798D4×C67—81no—
799D4×C67—81no—
800D4×C67H(5,𝔽2)12yes—
801C2×C4×C67—21no—
802C2×C4×C67—21no—
803C2×C4×C67—21no—
804C2×C4×C67—21no—
805C2×C4×C67—21no—
806C2×C4×C67—21no—
807C2×C4×C67—21no—
808C2×C4×C67—21no—
809C2×C4×C67—21no—
810C2×C4×C67—81no—
811C2×C4×C67—81no—
812C2×C4×C67—81no—
813C2×C4×C67C22×D411yescharacteristic
814C2×C4×C67C22×D411yescharacteristic
815C2×C4×C67C22×D411yescharacteristic
816C2×C4×C67C22×D411yescharacteristic
817C2×C4×C67C2511yescharacteristic
818C22⋊D67—24no—
819C22⋊D67—22no—
820C22⋊D67—41no—
821C22⋊D67—41no—
822C22⋊D67—41no—
823C22⋊D67—42no—
824C22⋊D67—42no—
825C22⋊D67—42no—
826C22⋊D67—42no—
827C22⋊D67—42no—
828C22⋊D67—42no—
829C22⋊D67—42no—
830C22⋊D67—42no—
831C22⋊D67—42no—
832C22⋊D67—81no—
833C22⋊D67—81no—
834C22⋊D67—81no—
835C22⋊D67—81no—
836C22⋊D67—81no—
837C2×Dic67—21no—
838C2×Dic67—21no—
839C2×Dic67—21no—
840C2×Dic67—21no—
841C2×Dic67—21no—
842C2×Dic67—41no—
843C2×Dic67—42no—
844C2×Dic67—42no—
845C2×Dic67—81no—
846C2×Dic67—81no—
847C2×Dic67C22×D411yescharacteristic
848C2×Dic67C22×D411yescharacteristic
849C2×Dic67C22×D411yescharacteristic
850C2×Dic67C22×D411yescharacteristic
851C2×Dic67C22×D411yescharacteristic
852D268—21no—
853D268—21no—
854D268—21no—
855D268—21no—
856D268—21no—
857D268—41no—
858D268—41no—
859D268—42no—
860D268—81no—
861D268—81no—
862D268—81no—
863D268—81no—
864D268H(5,𝔽2)12yes—
865C4×D67—21no—
866C4×D67—21no—
867C4×D67—21no—
868C4×D67—21no—
869C4×D67—21no—
870C4×D67—21no—
871C4×D67—41no—
872C4×D67—41no—
873C4×D67—42no—
874C4×D67—81no—
875C4×D67—81no—
876C4×D67—81no—
877C4×D67—81no—
878C4×D67—81no—
879C4×D67—81no—
880Dic134—21no—
881Dic134—21no—
882Dic134—41no—
883Dic134—81no—
884C8×C67—21no—
885C8×C67—21no—
886C8×C67—21no—
887C8×C67—21no—
888C67⋊C8—21no—
889C67⋊C8—21no—
890C67⋊C8—21no—
891C67⋊C8—21no—
892C22×C67—21no—
893C22×C67—21no—
894C22×C67—21no—
895C22×C67—22no—
896C22×C67—21no—
897C22×C67—21no—
898C22×C67—41no—
899C22×C67—41no—
900C22×C67—41no—
901C22×C67—41no—
902C22×C67—41no—
903C22×C67—41no—
904C22×C67—41no—
905C22×C67—41no—
906C22×C67—84no—
907C22×C67—162no—
908C22×C67#57712yes—
909C22×C67C23×D411yescharacteristic
910C2×D67—21no—
911C2×D67—21no—
912C2×D67—21no—
913C2×D67—21no—
914C2×D67—21no—
915C2×D67—21no—
916C2×D67—22no—
917C2×D67—21no—
918C2×D67—21no—
919C2×D67—21no—
920C2×D67—44no—
921C2×D67—41no—
922C2×D67—41no—
923C2×D67—41no—
924C2×D67—41no—
925C2×D67—41no—
926C2×D67—41no—
927C2×D67—41no—
928C2×D67—41no—
929C2×D67—84no—
930C2×D67—84no—
931C2×D67—84no—
932C2×D67—84no—
933C2×D67—84no—
934C2×D67—162no—
935C4×C67—21no—
936C4×C67—21no—
937C4×C67—21no—
938C4×C67—21no—
939C4×C67—41no—
940C4×C67—41no—
941C4×C67—41no—
942C4×C67—41no—
943C4×C67—41no—
944C4×C67C2×H(5,𝔽2)11yescharacteristic
945C4×C67C2×H(5,𝔽2)11yescharacteristic
946Dic67—21no—
947Dic67—21no—
948Dic67—21no—
949Dic67—21no—
950Dic67—21no—
951Dic67—41no—
952Dic67—41no—
953Dic67—41no—
954Dic67—41no—
955Dic67—41no—
956#61610—671nomaximal, Sylow
957C2×C67—22no—
958C2×C67—42no—
959C2×C67—41no—
960C2×C67—81no—
961C2×C67—81no—
962C2×C67#348411yescharacteristic
963C2×C67C2×#57711yescharacteristic
964C2×C67#358511yescharacteristic
965D67—41no—
966D67—41no—
967D67—41no—
968D67—42no—
969D67—81no—
970D67—81no—
971#3541—671no—
972#3484—671no—
973#3324—671no—
974#3323—671no—
975#3318—671no—
976#3314—671no—
977#3311—671no—
978#3310—671no—
979#3297—671no—
980#3295—671no—
981#3282—671no—
982D4×SD16D6711yescharacteristic, complemented
983#3275—671no—
984#3272—671no—
985#3267—671no—
986#3266—671no—
987#3265—671no—
988#3265—671no—
989#3224—671no—
990#3222—671no—
991#3200—671no—
992#3198—671no—
993#3196—671no—
994#3191—671no—
995#3123—671no—
996#3118—671no—
997#3012—671no—
998#3009—671no—
999#3003—671no—
1000C2×#450—671no—
1001#2976—671no—
1002C67#6161011yescharacteristic, complemented, Sylow
1003C2×H(5,𝔽2)—671no—
1004C23×D4—671no—
1005C2×#137—671no—
1006C2×AGL(1,ℤ/8)—671no—
1007C2×AGL(1,ℤ/8)—671no—
1008C2×AGL(1,ℤ/8)—671no—
1009C2×#135—671no—
1010C22×SD16—671no—
1011C22×SD16C2×D6711yescharacteristic, complemented
1012C22×SD16C2×D6711yescharacteristic, complemented
1013#563—1341no—
1014#562—1341no—
1015#556—671no—
1016#554—671no—
1017#554—1341no—
1018#553—671no—
1019#553—1341no—
1020#552—671no—
1021D4×Q8C2×D6711yescharacteristic, complemented
1022#548—671no—
1023#548—671no—
1024#547—671no—
1025#546—671no—
1026#546—671no—
1027#546—671no—
1028#546—671no—
1029#546—1341no—
1030#546—1341no—
1031D42—671no—
1032D42—671no—
1033D42—671no—
1034D42—1341no—
1035D42—1341no—
1036D42C2×D6711yescharacteristic
1037#542—671no—
1038#542—1341no—
1039#541—671no—
1040#539—1341no—
1041#538—1341no—
1042#538—1341no—
1043#537—671no—
1044#536—671no—
1045#535—671no—
1046#535—671no—
1047#534—1341no—
1048#534—1341no—
1049#525—671no—
1050#525—671no—
1051#525—671no—
1052C2×C22⋊Q8—671no—
1053C2×#120—1341no—
1054C2×#120—1341no—
1055#518—671no—
1056#497—671no—
1057#496—671no—
1058#495—671no—
1059#492C2×D6711yescharacteristic, complemented
1060#490—671no—
1061#489—671no—
1062#488—671no—
1063#486—671no—
1064#485—671no—
1065#485—671no—
1066#485—671no—
1067#485—671no—
1068#484—671no—
1069#482—671no—
1070#482—671no—
1071#482—671no—
1072#482—671no—
1073#481—671no—
1074#481—671no—
1075#480—671no—
1076#478—671no—
1077#478—671no—
1078#476—671no—
1079#474—671no—
1080#470—671no—
1081#470—671no—
1082#469—671no—
1083#468—671no—
1084#468—671no—
1085#468—671no—
1086#468—671no—
1087#468—671no—
1088#467—671no—
1089#466—671no—
1090#466—671no—
1091#465—671no—
1092#465—671no—
1093#465—671no—
1094#465C2×D6711yescharacteristic, complemented
1095#465C2×D6711yescharacteristic, complemented
1096#464—671no—
1097#464—671no—
1098#464—671no—
1099#463—671no—
1100#463—671no—
1101#463—671no—
1102#461—671no—
1103#461C2×D6711yescharacteristic, complemented
1104#460—671no—
1105#460—671no—
1106#460C2×D6711yescharacteristic, complemented
1107#459—671no—
1108#452—671no—
1109#452—671no—
1110#452—671no—
1111#452—671no—
1112#452—671no—
1113#452—671no—
1114#452—671no—
1115#451—671no—
1116#450—671no—
1117#450—671no—
1118#450—671no—
1119#450—671no—
1120#450—671no—
1121#450—671no—
1122#450—671no—
1123#450—671no—
1124#450—671no—
1125#450—671no—
1126#450—671no—
1127#450—671no—
1128#450—671no—
1129#450C2×D6711yescharacteristic, complemented
1130#450C2×D6711yescharacteristic, complemented
1131#449—671no—
1132#449—671no—
1133#449—671no—
1134#449—671no—
1135#449—671no—
1136#448—671no—
1137#448C2×D6711yescharacteristic, complemented
1138#448C2×D6711yescharacteristic, complemented
1139#447—671no—
1140#447—671no—
1141#447—671no—
1142#447—671no—
1143#447—671no—
1144#442—671no—
1145#440—671no—
1146#440—671no—
1147#440—671no—
1148C4×SD16—671no—
1149C4×SD16—671no—
1150C4×SD16C2×D6711yescharacteristic, complemented
1151C4×D8—671no—
1152#436—671no—
1153#436—671no—
1154#435—671no—
1155#435—671no—
1156#435—671no—
1157#435—671no—
1158C8×D4—671no—
1159C8×D4C2×D6711yescharacteristic, complemented
1160#433—671no—
1161#433—671no—
1162#418—671no—
1163#418—671no—
1164#418—671no—
1165#417—671no—
1166#416—671no—
1167C2×#102—671no—
1168C2×#102—671no—
1169C2×#102—671no—
1170#408—671no—
1171#408—671no—
1172#407—671no—
1173C2×C22⋊C8—671no—
1174C25—1341no—
1175H(5,𝔽2)—2682no—
1176H(5,𝔽2)—2682no—
1177C2×#41—671no—
1178C2×#41—671no—
1179C2×#41—671no—
1180C2×#41—671no—
1181C2×#41—671no—
1182C2×#41—671no—
1183C2×#41—1341no—
1184C22×Q8C22×D6711yescharacteristic
1185C22×Q8C22×D6711yescharacteristic, complemented
1186C22×D4—21no—
1187C22×D4—2682no—
1188C22×D4—2682no—
1189C22×D4—671no—
1190C22×D4—671no—
1191C22×D4—671no—
1192C22×D4—671no—
1193C22×D4—671no—
1194C22×D4—671no—
1195C22×D4—1341no—
1196C22×D4—1341no—
1197C22×D4—1341no—
1198C22×D4—1341no—
1199C22×D4—1341no—
1200C22×D4—1341no—
1201C22×D4—1341no—
1202C22×D4—1341no—
1203C22×D4—1341no—
1204C22×D4C22×D6711yescharacteristic
1205C22×D4C22×D6711yescharacteristic
1206C23×C4—671no—
1207#137—2682no—
1208AGL(1,ℤ/8)—2682no—
1209AGL(1,ℤ/8)—2682no—
1210AGL(1,ℤ/8)—2682no—
1211#135—2682no—
1212C2×Q16—671no—
1213C2×Q16—671no—
1214C2×Q16—671no—
1215C2×SD16—42no—
1216C2×SD16—42no—
1217C2×SD16—2682no—
1218C2×SD16—671no—
1219C2×SD16—671no—
1220C2×SD16—671no—
1221C2×SD16—671no—
1222C2×SD16—671no—
1223C2×SD16—671no—
1224C2×SD16—671no—
1225C2×SD16C22×D6711yescharacteristic
1226C2×SD16C22×D6711yescharacteristic
1227C2×SD16C22×D6711yescharacteristic
1228C2×SD16C22×D6711yescharacteristic
1229C2×SD16C22×D6711yescharacteristic
1230C2×SD16C22×D6711yescharacteristic
1231C2×SD16C22×D6711yescharacteristic, complemented
1232C2×SD16C22×D6711yescharacteristic, complemented
1233C2×SD16C22×D6711yescharacteristic, complemented
1234C2×D8—671no—
1235C2×D8—671no—
1236C2×D8—671no—
1237C2×D8—671no—
1238C2×D8—671no—
1239C2×M16—671no—
1240C2×M16—671no—
1241C2×M16—671no—
1242C2×M16—671no—
1243C22×C8—671no—
1244C22×C8—671no—
1245C22×C8C22×D6711yescharacteristic
1246C22×C8C22×D6711yescharacteristic, complemented
1247C4⋊Q8—21no—
1248C4⋊Q8—671no—
1249C4⋊Q8—1341no—
1250C4⋊Q8C22×D6711yescharacteristic, complemented
1251#127—671no—
1252#127—1341no—
1253#127C22×D6711yescharacteristic
1254#126—1341no—
1255#126—1341no—
1256#126—1341no—
1257#126—1341no—
1258#126—1341no—
1259#126—1341no—
1260#126—1341no—
1261#125—671no—
1262#125—1341no—
1263#125—1341no—
1264#125—1341no—
1265#125—1341no—
1266#124—671no—
1267#124—671no—
1268#124—671no—
1269#124—1341no—
1270#124—1341no—
1271#124—1341no—
1272#124—1341no—
1273#124—1341no—
1274#124—1341no—
1275#123—671no—
1276#123—671no—
1277#123—1341no—
1278#123—1341no—
1279#123—1341no—
1280#123—1341no—
1281#123—1341no—
1282#123—1341no—
1283#123—1341no—
1284#123—1341no—
1285#123—1341no—
1286#123—1341no—
1287#123—1341no—
1288#123—1341no—
1289#123—1341no—
1290C22⋊Q8—21no—
1291C22⋊Q8—21no—
1292C22⋊Q8—671no—
1293C22⋊Q8—671no—
1294C22⋊Q8—671no—
1295C22⋊Q8—671no—
1296C22⋊Q8—671no—
1297C22⋊Q8—671no—
1298C22⋊Q8—671no—
1299C22⋊Q8—671no—
1300C22⋊Q8—671no—
1301C22⋊Q8—671no—
1302C22⋊Q8—671no—
1303C22⋊Q8—1341no—
1304C22⋊Q8—1341no—
1305C22⋊Q8—1341no—
1306C22⋊Q8—1341no—
1307C22⋊Q8—1341no—
1308C22⋊Q8—1341no—
1309C22⋊Q8—1341no—
1310C22⋊Q8—1341no—
1311C22⋊Q8C22×D6711yescharacteristic
1312C22⋊Q8C22×D6711yescharacteristic, complemented
1313#121—21no—
1314#121—671no—
1315#121—671no—
1316#121—671no—
1317#121—671no—
1318#121—671no—
1319#121—671no—
1320#121—671no—
1321#121—671no—
1322#121—671no—
1323#121—1341no—
1324#121—1341no—
1325#121—1341no—
1326#121—1341no—
1327#121—1341no—
1328#121—1341no—
1329#121—1341no—
1330#121—1341no—
1331#121—1341no—
1332#121—1341no—
1333#121—1341no—
1334#121—1341no—
1335#121—1341no—
1336#121—1341no—
1337#121—1341no—
1338#121—1341no—
1339#121C22×D6711yescharacteristic
1340#121C22×D6711yescharacteristic
1341#120—21no—
1342#120—21no—
1343#120—671no—
1344#120—671no—
1345#120—1341no—
1346#120—1341no—
1347#120—1341no—
1348#120—1341no—
1349#120—1341no—
1350#120—1341no—
1351#120—1341no—
1352#120—1341no—
1353#120—1341no—
1354#120—1341no—
1355#120—1341no—
1356#120—1341no—
1357#120—1341no—
1358#120—1341no—
1359#120—1341no—
1360#120—1341no—
1361C4×Q8—671no—
1362C4×Q8—671no—
1363C4×Q8—1341no—
1364C4×Q8C22×D6711yescharacteristic, complemented
1365C4×D4—21no—
1366C4×D4—671no—
1367C4×D4—671no—
1368C4×D4—671no—
1369C4×D4—671no—
1370C4×D4—671no—
1371C4×D4—671no—
1372C4×D4—671no—
1373C4×D4—1341no—
1374C4×D4—1341no—
1375C4×D4—1341no—
1376C4×D4—1341no—
1377C4×D4—1341no—
1378C4×D4—1341no—
1379C4×D4—1341no—
1380C4×D4—1341no—
1381C4×D4—1341no—
1382C4×D4—1341no—
1383C4×D4C22×D6711yescharacteristic
1384C4×D4C22×D6711yescharacteristic
1385#117—671no—
1386#117—671no—
1387#117—671no—
1388#117—671no—
1389#117—1341no—
1390C2×C4⋊C4—671no—
1391C2×C4⋊C4—671no—
1392C2×C4⋊C4—1341no—
1393C2×C4⋊C4—1341no—
1394C2×C22⋊C4—1341no—
1395C2×C22⋊C4—1341no—
1396C2×C22⋊C4—1341no—
1397C2×C22⋊C4—1341no—
1398C2×C22⋊C4—1341no—
1399C2×C22⋊C4—1341no—
1400C2×C22⋊C4—1341no—
1401#107—671no—
1402#107—671no—
1403#107—671no—
1404#107—671no—
1405#106—671no—
1406#106—671no—
1407#106—671no—
1408#106C22×D6711yescharacteristic, complemented
1409C4⋊C8—671no—
1410C4⋊C8—671no—
1411C4⋊C8—671no—
1412C4⋊C8C22×D6711yescharacteristic, complemented
1413#103—671no—
1414#103—671no—
1415#103—671no—
1416#103—671no—
1417#103—671no—
1418#103—671no—
1419#103—671no—
1420#103C22×D6711yescharacteristic, complemented
1421#103C22×D6711yescharacteristic, complemented
1422#103C22×D6711yescharacteristic, complemented
1423#102—671no—
1424#102—671no—
1425#102—671no—
1426#102—671no—
1427#102—671no—
1428#102—671no—
1429#102—671no—
1430#102—671no—
1431#102—671no—
1432#102—671no—
1433#102—671no—
1434#102—671no—
1435#102—671no—
1436#102—671no—
1437#102—671no—
1438#102—671no—
1439#102—671no—
1440#102—671no—
1441#102—671no—
1442#102C22×D6711yescharacteristic
1443#102C22×D6711yescharacteristic
1444#102C22×D6711yescharacteristic, complemented
1445C22⋊C8—671no—
1446C22⋊C8—671no—
1447C22⋊C8—671no—
1448C22⋊C8—671no—
1449C22⋊C8—671no—
1450C22⋊C8—671no—
1451C22⋊C8—671no—
1452C22⋊C8—671no—
1453C22⋊C8—671no—
1454C22⋊C8—671no—
1455C22⋊C8C22×D6711yescharacteristic
1456C22⋊C8C22×D6711yescharacteristic, complemented
1457#97—671no—
1458#97—671no—
1459C4×C8—671no—
1460C4×C8C22×D6711yescharacteristic, complemented
1461C24—21no—
1462C24—21no—
1463C24—2684no—
1464C24—5362no—
1465C24—5362no—
1466C24—671no—
1467C24—1341no—
1468C24—1341no—
1469C24—1341no—
1470C24—1341no—
1471C24—1341no—
1472C24—1341no—
1473#41—2681no—
1474#41—2681no—
1475#41—2681no—
1476#41—2684no—
1477#41—2681no—
1478#41—2681no—
1479#41—2681no—
1480#41—2681no—
1481#41—2681no—
1482#41—2681no—
1483#41—2681no—
1484#41—1342no—
1485#41—1342no—
1486C2×Q8—21no—
1487C2×Q8—21no—
1488C2×Q8—41no—
1489C2×Q8—41no—
1490C2×Q8—41no—
1491C2×Q8—41no—
1492C2×Q8—671no—
1493C2×Q8—671no—
1494C2×Q8—1341no—
1495C2×Q8C23×D6711yescharacteristic
1496C2×Q8C23×D6711yescharacteristic
1497C2×Q8C23×D6711yescharacteristic
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—41no—
1507C2×D4—41no—
1508C2×D4—82no—
1509C2×D4—2681no—
1510C2×D4—2684no—
1511C2×D4—2684no—
1512C2×D4—2684no—
1513C2×D4—2684no—
1514C2×D4—2684no—
1515C2×D4—2684no—
1516C2×D4—2681no—
1517C2×D4—2681no—
1518C2×D4—2681no—
1519C2×D4—2681no—
1520C2×D4—2681no—
1521C2×D4—5362no—
1522C2×D4—5362no—
1523C2×D4—5362no—
1524C2×D4—671no—
1525C2×D4—671no—
1526C2×D4—671no—
1527C2×D4—671no—
1528C2×D4—671no—
1529C2×D4—671no—
1530C2×D4—671no—
1531C2×D4—671no—
1532C2×D4—671no—
1533C2×D4—1342no—
1534C2×D4—1341no—
1535C2×D4—1341no—
1536C2×D4—1341no—
1537C2×D4—1341no—
1538C2×D4—1341no—
1539C2×D4—1341no—
1540C2×D4—1341no—
1541C2×D4—1341no—
1542C2×D4—1341no—
1543C2×D4—1341no—
1544C2×D4—1341no—
1545C2×D4—1342no—
1546C2×D4—1342no—
1547C2×D4—1342no—
1548C2×D4—1341no—
1549C2×D4—1341no—
1550C2×D4—1341no—
1551C2×D4—1341no—
1552C2×D4—1341no—
1553C2×D4—1342no—
1554C2×D4—1341no—
1555C2×D4—1341no—
1556C2×D4—1341no—
1557C2×D4—1342no—
1558C2×D4—1341no—
1559C2×D4D4×D6711yescharacteristic
1560C2×D4C23×D6711yescharacteristic
1561C2×D4C23×D6711yescharacteristic
1562C2×D4C23×D6711yescharacteristic
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—2681no—
1567C22×C4—2681no—
1568C22×C4—671no—
1569C22×C4—671no—
1570C22×C4—671no—
1571C22×C4—671no—
1572C22×C4—671no—
1573C22×C4—671no—
1574C22×C4—1341no—
1575C22×C4—1341no—
1576C22×C4—1341no—
1577C22×C4—1341no—
1578C22×C4—1341no—
1579C22×C4—1341no—
1580C22×C4—1341no—
1581C22×C4—1341no—
1582C22×C4—1341no—
1583C22×C4—1341no—
1584C22×C4—1341no—
1585C22×C4C23×D6711yescharacteristic
1586C22×C4C23×D6711yescharacteristic
1587Q16—2681no—
1588Q16—2681no—
1589Q16—2681no—
1590SD16—22no—
1591SD16—22no—
1592SD16—22no—
1593SD16—41no—
1594SD16—41no—
1595SD16—41no—
1596SD16—41no—
1597SD16—41no—
1598SD16—41no—
1599SD16—2681no—
1600SD16—2681no—
1601SD16—2681no—
1602SD16—2681no—
1603SD16—1342no—
1604SD16—1342no—
1605SD16—1342no—
1606D8—2681no—
1607D8—2681no—
1608D8—2681no—
1609D8—1342no—
1610D8—1342no—
1611M16—2681no—
1612M16—2681no—
1613M16—2681no—
1614M16—2681no—
1615C2×C8—41no—
1616C2×C8—41no—
1617C2×C8—2681no—
1618C2×C8—2681no—
1619C2×C8—671no—
1620C2×C8—671no—
1621C2×C8—671no—
1622C2×C8—671no—
1623C2×C8C23×D6711yescharacteristic
1624C2×C8C23×D6711yescharacteristic
1625C2×C8C23×D6711yescharacteristic
1626C2×C8C23×D6711yescharacteristic
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—671no—
1633C4⋊C4—671no—
1634C4⋊C4—671no—
1635C4⋊C4—671no—
1636C4⋊C4—671no—
1637C4⋊C4—671no—
1638C4⋊C4—671no—
1639C4⋊C4—671no—
1640C4⋊C4—671no—
1641C4⋊C4—1341no—
1642C4⋊C4—1341no—
1643C4⋊C4—1341no—
1644C4⋊C4—1341no—
1645C4⋊C4—1341no—
1646C4⋊C4—1341no—
1647C4⋊C4—1341no—
1648C4⋊C4—1341no—
1649C4⋊C4—1341no—
1650C4⋊C4—1341no—
1651C4⋊C4—1341no—
1652C4⋊C4—1341no—
1653C4⋊C4—1341no—
1654C4⋊C4—1341no—
1655C4⋊C4—1341no—
1656C4⋊C4—1341no—
1657C4⋊C4D4×D6711yescharacteristic
1658C4⋊C4C23×D6711yescharacteristic
1659C4⋊C4C23×D6711yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—671no—
1666C22⋊C4—671no—
1667C22⋊C4—671no—
1668C22⋊C4—671no—
1669C22⋊C4—671no—
1670C22⋊C4—671no—
1671C22⋊C4—671no—
1672C22⋊C4—671no—
1673C22⋊C4—1341no—
1674C22⋊C4—1341no—
1675C22⋊C4—1341no—
1676C22⋊C4—1341no—
1677C22⋊C4—1341no—
1678C22⋊C4—1341no—
1679C22⋊C4—1341no—
1680C22⋊C4—1341no—
1681C22⋊C4—1341no—
1682C22⋊C4—1341no—
1683C22⋊C4—1341no—
1684C22⋊C4—1341no—
1685C22⋊C4—1341no—
1686C22⋊C4—1341no—
1687C22⋊C4—1341no—
1688C22⋊C4—1341no—
1689C22⋊C4—1341no—
1690C22⋊C4—1341no—
1691C22⋊C4—1341no—
1692C22⋊C4—1341no—
1693C22⋊C4—1341no—
1694C22⋊C4—1341no—
1695C22⋊C4—1341no—
1696C22⋊C4—1341no—
1697C22⋊C4—1341no—
1698C22⋊C4—1341no—
1699C22⋊C4—1341no—
1700C22⋊C4—1341no—
1701C22⋊C4—1341no—
1702C22⋊C4D4×D6711yescharacteristic
1703C22⋊C4D4×D6711yescharacteristic
1704C42—21no—
1705C42—671no—
1706C42—1341no—
1707C42—1341no—
1708C42—1341no—
1709C42—1341no—
1710C42—1341no—
1711C42C23×D6711yescharacteristic
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—42no—
1716C23—42no—
1717C23—42no—
1718C23—81no—
1719C23—81no—
1720C23—81no—
1721C23—2681no—
1722C23—2681no—
1723C23—2682no—
1724C23—2682no—
1725C23—2682no—
1726C23—2682no—
1727C23—2682no—
1728C23—2682no—
1729C23—2682no—
1730C23—2682no—
1731C23—5361no—
1732C23—5361no—
1733C23—5361no—
1734C23—5361no—
1735C23—5361no—
1736C23—5361no—
1737C23—5361no—
1738C23—5361no—
1739C23—5361no—
1740C23—53616no—
1741C23—671no—
1742C23—671no—
1743C23—671no—
1744C23—1344no—
1745C23—1341no—
1746C23—1341no—
1747C23—1342no—
1748C23—1341no—
1749C23C2×D4×D6711yescharacteristic
1750C23C2×D4×D6711yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—21no—
1756Q8—21no—
1757Q8—81no—
1758Q8—81no—
1759Q8—2681no—
1760Q8—5361no—
1761Q8—1341no—
1762Q8—1341no—
1763D4—22no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—42no—
1770D4—42no—
1771D4—42no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—2682no—
1776D4—2681no—
1777D4—2681no—
1778D4—2682no—
1779D4—2682no—
1780D4—2682no—
1781D4—2682no—
1782D4—2682no—
1783D4—2682no—
1784D4—2681no—
1785D4—2681no—
1786D4—2681no—
1787D4—2682no—
1788D4—2682no—
1789D4—2682no—
1790D4—5361no—
1791D4—5361no—
1792D4—5361no—
1793D4—5361no—
1794D4—5361no—
1795D4—5361no—
1796D4—5361no—
1797D4—5361no—
1798D4—5361no—
1799D4—672no—
1800D4—1344no—
1801D4—1342no—
1802D4—1341no—
1803D4—1341no—
1804D4—1341no—
1805D4—1341no—
1806D4—1341no—
1807D4#1452408812yes—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—81no—
1818C2×C4—81no—
1819C2×C4—81no—
1820C2×C4—2682no—
1821C2×C4—2681no—
1822C2×C4—2681no—
1823C2×C4—2682no—
1824C2×C4—2682no—
1825C2×C4—2681no—
1826C2×C4—5361no—
1827C2×C4—5361no—
1828C2×C4—5361no—
1829C2×C4—5361no—
1830C2×C4—5361no—
1831C2×C4—5361no—
1832C2×C4—5361no—
1833C2×C4—5361no—
1834C2×C4—671no—
1835C2×C4—671no—
1836C2×C4—671no—
1837C2×C4—671no—
1838C2×C4—671no—
1839C2×C4—1341no—
1840C2×C4—1341no—
1841C2×C4—1341no—
1842C2×C4—1341no—
1843C2×C4—1341no—
1844C2×C4—1341no—
1845C2×C4—1341no—
1846C2×C4—1341no—
1847C2×C4—1341no—
1848C2×C4—1341no—
1849C2×C4—1341no—
1850C2×C4C2×D4×D6711yescharacteristic
1851C2×C4C2×D4×D6711yescharacteristic
1852C2×C4C2×D4×D6711yescharacteristic
1853C2×C4C2×D4×D6711yescharacteristic
1854C2×C4C24×D6711yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—1341no—
1860C8—1341no—
1861C8—1341no—
1862C8—1341no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—22no—
1867C22—21no—
1868C22—21no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—84no—
1878C22—2684no—
1879C22—2681no—
1880C22—2681no—
1881C22—2681no—
1882C22—2681no—
1883C22—2681no—
1884C22—2681no—
1885C22—2681no—
1886C22—2681no—
1887C22—162no—
1888C22—5364no—
1889C22—5364no—
1890C22—5364no—
1891C22—5364no—
1892C22—5364no—
1893C22—10722no—
1894C22—1341no—
1895C22—1341no—
1896C22—1342no—
1897C22—1341no—
1898C22—1341no—
1899C22—1341no—
1900C22—1341no—
1901C22—1341no—
1902C22—1341no—
1903C22—1341no—
1904C22#1686420212yes—
1905C22C22×D4×D6711yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—2681no—
1916C4—2681no—
1917C4—2681no—
1918C4—2681no—
1919C4—2681no—
1920C4—1341no—
1921C4—1341no—
1922C4—1341no—
1923C4—1341no—
1924C4—1341no—
1925C4H(5,𝔽2)×D6711yescharacteristic
1926C4C2×#1452408811yescharacteristic
1927C2—22no—
1928C2—41no—
1929C2—42no—
1930C2—81no—
1931C2—81no—
1932C2—2681no—
1933C2—2681no—
1934C2—2682no—
1935C2—2681no—
1936C2—5361no—
1937C2—5361no—
1938C2#2257383711yescharacteristic
1939C2C2×#1686420211yescharacteristic
1940C2#2257498711yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingD4×SD16×C67C2
socleC22×C67C23×D4
hypercenterD4×SD16D67
hypocenterC67#61610
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ C4×D4 ◁ D4×SD16

Complements

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

NH ≅ G/Ntype
1. #22574507C2semidirect
2. #22573837C2semidirect
3. #22572433C2semidirect
4. #22572430C2semidirect
5. #22572350C2semidirect
6. #22572294C2semidirect
7. #22572251C2semidirect
8. #22572237C2semidirect
9. #22572061C2semidirect
10. #22572028C2semidirect
11. #22571916C2semidirect
12. #22571843C2semidirect
13. #22571808C2semidirect
14. #22571740C2semidirect
15. #22571720C2semidirect
16. #22571704C2semidirect
17. #22571697C2semidirect
18. #22571308C2semidirect
19. #22571274C2semidirect
20. #22571079C2semidirect
21. #22571064C2semidirect
22. #22571036C2semidirect
23. #22570998C2semidirect
24. #22570459C2semidirect
25. #22570399C2semidirect
26. #22569514C2semidirect
27. #22569482C2semidirect
28. #22569437C2semidirect
29. C2×#16863545C2semidirect
30. #22569251C2semidirect
31. D4×SD16×C67C2semidirect
34. C2×#14524074C22semidirect
35. C2×#14524070C22semidirect
36. C2×#14524070C22semidirect
37. C2×#14524070C22semidirect
38. C2×#14524064C22semidirect
39. C22×#11761615C22semidirect
42. #16864117C22semidirect
43. #16864104C22semidirect
46. #16864092C22semidirect
47. #16864087C22semidirect
48. #16864057C22semidirect
49. #16864057C22semidirect
50. #16864049C22semidirect
63. #16864018C22semidirect
64. #16864007C22semidirect
68. #16863976C22semidirect
69. #16863970C22semidirect
74. #16863909C22semidirect
77. C2×#14524019C22semidirect
81. #16863788C22semidirect
82. #16863782C22semidirect
83. #16863777C22semidirect
84. #16863760C22semidirect
85. #16863754C22semidirect
86. #16863751C22semidirect
87. #16863741C22semidirect
88. #16863740C22semidirect
89. #16863736C22semidirect
90. #16863736C22semidirect
91. #16863735C22semidirect
92. #16863732C22semidirect
93. #16863722C22semidirect
94. #16863721C22semidirect
95. #16863719C22semidirect
96. #16863717C22semidirect
97. #16863716C22semidirect
98. #16863712C22semidirect
99. #16863708C22semidirect
100. #16863697C22semidirect
101. #16863696C22semidirect
102. #16863685C22semidirect
103. #16863674C22semidirect
104. #16863653C22semidirect
105. #16863653C22semidirect
106. #16863647C22semidirect
107. #16863645C22semidirect
108. #16863644C22semidirect
109. #16863639C22semidirect
110. #16863639C22semidirect
111. #16863639C22semidirect
112. #16863635C22semidirect
113. #16863632C22semidirect
114. #16863630C22semidirect
115. #16863628C22semidirect
116. #16863625C22semidirect
117. #16863622C22semidirect
118. #16863618C22semidirect
119. #16863616C22semidirect
120. #16863616C22semidirect
121. #16863614C22semidirect
122. #16863613C22semidirect
123. #16863612C22semidirect
124. #16863598C22semidirect
125. #16863594C22semidirect
126. #16863594C22semidirect
127. #16863588C22semidirect
128. #16863561C22semidirect
129. #16863556C22semidirect
130. #16863555C22semidirect
131. #16863555C22semidirect
132. #16863555C22semidirect
133. #16863555C22semidirect
134. #16863555C22semidirect
135. #16863552C22semidirect
136. #16863546C22semidirect
140. #16863545C22semidirect
141. #16863545C22semidirect
142. #16863545C22semidirect
143. #16863545C22semidirect
144. #16863545C22semidirect
145. #16863545C22semidirect
146. #16863545C22semidirect
147. #16863545C22semidirect
148. #16863545C22semidirect
149. #16863544C22semidirect
150. #16863543C22semidirect
151. #16863542C22semidirect
152. #16863540C22semidirect
153. #16863540C22semidirect
154. #16863535C22semidirect
155. #16863532C22semidirect
157. #16863531C22semidirect
158. #16863530C22semidirect
159. #16863530C22semidirect
160. #16863506C22semidirect
161. #16863499C22semidirect
162. #16863497C22semidirect
163. #16863494C22semidirect
164. SD16×Dic67C22semidirect
165. #16863481C22semidirect
166. C4×D536C22semidirect
167. #16863475C22semidirect
168. #16863471C22semidirect
169. #16863468C22semidirect
170. #16863467C22semidirect
171. #16863466C22semidirect
172. #16863464C22semidirect
173. C8×C22⋊D67C22semidirect
174. #16863456C22semidirect
175. #16863455C22semidirect
176. #16863401C22semidirect
177. #16863399C22semidirect
178. #16863399C22semidirect
179. #16863394C22semidirect
180. #16863393C22semidirect
181. C2×#14523965C22semidirect
182. C2×#14523964C22semidirect
183. #102×D67C22semidirect
184. #16863362C22semidirect
185. #16863361C22semidirect
186. #16863358C22semidirect
187. C2×(C2×D67)⋊C8C22semidirect
188. C22×SD16×C67C22semidirect
189. C22×SD16×C67C22semidirect
190. D4×Q8×C67C22semidirect
192. #492×C67C22semidirect
193. #465×C67C22semidirect
194. #465×C67C22semidirect
195. #461×C67C22semidirect
196. #460×C67C22semidirect
197. #450×C67C22semidirect
198. #450×C67C22semidirect
199. #448×C67C22semidirect
200. #448×C67C22semidirect
201. C4×SD16×C67C22semidirect
202. C8×D4×C67C22semidirect
207. C2×#11761629C23semidirect
236. C2×#11761618C23semidirect
237. C2×#11761618C23semidirect
238. C2×#11761618C23semidirect
239. C2×#11761617C23semidirect
251. C2×#11761613C23semidirect
252. C2×#11761612C23semidirect
255. C2×#11761611C23semidirect
257. C2×C8×D67C23semidirect
258. #14524042C23semidirect
269. #14524035C23semidirect
277. #14524032C23semidirect
315. #14524019C23semidirect
316. #14524019C23semidirect
326. #14524017C23semidirect
360. Q8×Dic67C23semidirect
361. Q8×Dic67C23semidirect
365. C4×D268C23semidirect
380. #14524002C23semidirect
388. C4⋊C4×D67C23semidirect
396. #14523977C23semidirect
397. #14523977C23semidirect
398. #14523976C23semidirect
399. #14523976C23semidirect
400. #14523975C23semidirect
401. #14523974C23semidirect
402. #14523974C23semidirect
403. C4⋊(C67⋊C8)C23semidirect
404. Dic67⋊C8C23semidirect
405. Dic67⋊C8C23semidirect
406. #14523968C23semidirect
407. #14523968C23semidirect
408. #14523968C23semidirect
409. #14523967C23semidirect
410. #14523967C23semidirect
411. #14523967C23semidirect
412. #14523966C23semidirect
419. #14523965C23semidirect
426. #14523964C23semidirect
427. #14523964C23semidirect
428. #14523964C23semidirect
431. #14523963C23semidirect
433. C22⋊(C67⋊C8)C23semidirect
440. (C2×D67)⋊C8C23semidirect
441. (C2×D67)⋊C8C23semidirect
442. #14523954C23semidirect
443. #14523953C23semidirect
444. C8×Dic67C23semidirect
446. C22×Q8×C67C23semidirect
458. C2×SD16×C67C23semidirect
459. C2×SD16×C67C23semidirect
460. C2×SD16×C67C23semidirect
462. C22×C8×C67C23semidirect
464. C4⋊Q8×C67C23semidirect
469. C22⋊Q8×C67C23semidirect
475. C4×Q8×C67C23semidirect
479. #106×C67C23semidirect
480. C4⋊C8×C67C23semidirect
481. #103×C67C23semidirect
482. #103×C67C23semidirect
483. #103×C67C23semidirect
486. #102×C67C23semidirect
488. C22⋊C8×C67C23semidirect
489. C4×C8×C67C23semidirect
982. D4×SD16D67semidirect
1002. C67#61610semidirect
1011. C22×SD16C2×D67semidirect
1012. C22×SD16C2×D67semidirect
1021. D4×Q8C2×D67semidirect
1059. #492C2×D67semidirect
1094. #465C2×D67semidirect
1095. #465C2×D67semidirect
1103. #461C2×D67semidirect
1106. #460C2×D67semidirect
1129. #450C2×D67semidirect
1130. #450C2×D67semidirect
1137. #448C2×D67semidirect
1138. #448C2×D67semidirect
1150. C4×SD16C2×D67semidirect
1159. C8×D4C2×D67semidirect
1185. C22×Q8C22×D67semidirect
1231. C2×SD16C22×D67semidirect
1232. C2×SD16C22×D67semidirect
1233. C2×SD16C22×D67semidirect
1246. C22×C8C22×D67semidirect
1250. C4⋊Q8C22×D67semidirect
1312. C22⋊Q8C22×D67semidirect
1364. C4×Q8C22×D67semidirect
1408. #106C22×D67semidirect
1412. C4⋊C8C22×D67semidirect
1420. #103C22×D67semidirect
1421. #103C22×D67semidirect
1422. #103C22×D67semidirect
1444. #102C22×D67semidirect
1456. C22⋊C8C22×D67semidirect
1460. C4×C8C22×D67semidirect

Maximal subgroups

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

subgroupindex
#225745072
#225738372
#225724332
#225724302
#225723502
#225722942
#225722512
#225722372
#225720612
#225720282
#225719162
#225718432
#225718082
#225717402
#225717202
#225717042
#225716972
#225713082
#225712742
#225710792
#225710642
#225710362
#225709982
#225704592
#225703992
#225695142
#225694822
#225694372
C2×#168635452
#225692512
D4×SD16×C672
#6161067