Finite Group Databasebeta

← #31741400

Subgroups — #31741400

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#22573839C211yesmaximal, characteristic, complemented
3#22572435C211yesmaximal, characteristic, complemented
4#22572432C211yesmaximal, characteristic, complemented
5#22572352C211yesmaximal, characteristic, complemented
6#22572296C211yesmaximal, characteristic, complemented
7#22572249C211yesmaximal, characteristic, complemented
8#22572235C211yesmaximal, characteristic, complemented
9#22572059C211yesmaximal, characteristic, complemented
10#22572026C211yesmaximal, characteristic, complemented
11#22571909C211yesmaximal, characteristic, complemented
12D4×#11761615C211yesmaximal, characteristic, complemented
13#22571834C211yesmaximal, characteristic, complemented
14#22571812C211yesmaximal, characteristic, complemented
15#22571733C211yesmaximal, characteristic, complemented
16#22571704C211yesmaximal, characteristic, complemented
17#22571697C211yesmaximal, characteristic, complemented
18#22571310C211yesmaximal, characteristic, complemented
19#22571276C211yesmaximal, characteristic, complemented
20#22571079C211yesmaximal, characteristic, complemented
21#22571062C211yesmaximal, characteristic, complemented
22#22571042C211yesmaximal, characteristic, complemented
23#22571003C211yesmaximal, characteristic, complemented
24#22570459C211yesmaximal, characteristic, complemented
25#22570397C211yesmaximal, characteristic, complemented
26#22569517C211yesmaximal, characteristic, complemented
27#22569485C211yesmaximal, characteristic, complemented
28#22569437C211yesmaximal, characteristic, complemented
29C2×#16863545C211yesmaximal, characteristic, complemented
30#22569258C211yesmaximal, characteristic, complemented
31C67×#3266C211yesmaximal, characteristic, complemented
32C2×#14524089C2211yescharacteristic
33C22×D4×D67C2211yescharacteristic
34C2×#14524070C2211yescharacteristic, complemented
35C2×#14524070C2211yescharacteristic, complemented
36C2×#14524070C2211yescharacteristic, complemented
37C2×#14524066C2211yescharacteristic, complemented
38C22×#11761615C2211yescharacteristic, 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#16864039C2211yescharacteristic
52#16864038—21no—
53#16864037C2211yescharacteristic
54#16864036—21no—
55#16864034C2211yescharacteristic
56D4×D268C2211yescharacteristic
57D4×D268C2211yescharacteristic
58#16864030—21no—
59#16864030C2211yescharacteristic
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#16863964C2211yescharacteristic
71#16863962C2211yescharacteristic
72#16863957—21no—
73#16863954—21no—
74#16863909C2211yescharacteristic
75#16863909C2211yescharacteristic, complemented
76#16863905C2211yescharacteristic
77C2×#14524019C2211yescharacteristic, complemented
78C2×#14524013—21no—
79#120×D67—21no—
80#16863868C2211yescharacteristic
81#16863782C2211yescharacteristic, complemented
82#16863781C2211yescharacteristic, complemented
83#16863770C2211yescharacteristic, complemented
84#16863761C2211yescharacteristic, complemented
85#16863757C2211yescharacteristic, complemented
86#16863750C2211yescharacteristic, complemented
87#16863741C2211yescharacteristic, complemented
88#16863736C2211yescharacteristic, complemented
89#16863736C2211yescharacteristic, complemented
90#16863735C2211yescharacteristic, complemented
91#16863735C2211yescharacteristic, complemented
92#16863729C2211yescharacteristic, complemented
93#16863723C2211yescharacteristic, complemented
94#16863723C2211yescharacteristic, complemented
95#16863721C2211yescharacteristic, complemented
96#16863717C2211yescharacteristic, complemented
97#16863715C2211yescharacteristic, complemented
98#16863713C2211yescharacteristic, complemented
99#16863711C2211yescharacteristic, complemented
100#16863697C2211yescharacteristic, complemented
101#16863696C2211yescharacteristic, complemented
102#16863684C2211yescharacteristic, complemented
103#16863675C2211yescharacteristic, complemented
104#16863651C2211yescharacteristic, complemented
105#16863651C2211yescharacteristic, complemented
106#16863649C2211yescharacteristic, complemented
107#16863645C2211yescharacteristic, complemented
108#16863645C2211yescharacteristic, complemented
109#16863645C2211yescharacteristic, complemented
110#16863639C2211yescharacteristic, complemented
111#16863632C2211yescharacteristic, complemented
112#16863630C2211yescharacteristic, complemented
113#16863628C2211yescharacteristic, complemented
114#16863627C2211yescharacteristic, complemented
115#16863627C2211yescharacteristic, complemented
116#16863627C2211yescharacteristic, complemented
117#16863622C2211yescharacteristic, complemented
118#16863620C2211yescharacteristic, complemented
119#16863620C2211yescharacteristic, complemented
120#16863614C2211yescharacteristic, complemented
121#16863613C2211yescharacteristic, complemented
122#16863608C2211yescharacteristic, complemented
123#16863598C2211yescharacteristic, complemented
124#16863596C2211yescharacteristic, complemented
125#16863594C2211yescharacteristic, complemented
126#16863594C2211yescharacteristic, complemented
127#16863592C2211yescharacteristic, complemented
128#16863557C2211yescharacteristic, complemented
129#16863557C2211yescharacteristic, complemented
130#16863557C2211yescharacteristic, complemented
131#16863557C2211yescharacteristic, complemented
132#16863557C2211yescharacteristic, complemented
133#16863557C2211yescharacteristic, complemented
134#16863546C2211yescharacteristic, complemented
135#16863546C2211yescharacteristic, complemented
136#16863545C2211yescharacteristic
137#16863545C2211yescharacteristic
138#16863545C2211yescharacteristic
139#16863545C2211yescharacteristic, complemented
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#16863544C2211yescharacteristic, complemented
149#16863544C2211yescharacteristic, complemented
150#16863544C2211yescharacteristic, complemented
151#16863541C2211yescharacteristic, complemented
152#16863540C2211yescharacteristic, complemented
153#16863535C2211yescharacteristic, complemented
154#16863535C2211yescharacteristic, complemented
155#16863532C2211yescharacteristic, complemented
156#16863532C2211yescharacteristic, complemented
157#16863531C2211yescharacteristic
158#16863531C2211yescharacteristic, complemented
159#16863530C2211yescharacteristic, complemented
160#16863509C2211yescharacteristic, complemented
161#16863499C2211yescharacteristic, complemented
162#16863497C2211yescharacteristic, complemented
163SD16×Dic67C2211yescharacteristic, complemented
164C4×#11761615C2211yescharacteristic, complemented
165#16863481C2211yescharacteristic, complemented
166C4×#11761613C2211yescharacteristic, complemented
167#16863473C2211yescharacteristic, complemented
168#16863472C2211yescharacteristic, complemented
169#16863469C2211yescharacteristic, complemented
170#16863467C2211yescharacteristic, complemented
171#16863464C2211yescharacteristic, complemented
172D4×C67⋊C8C2211yescharacteristic, complemented
173(C22⋊D67)⋊C8C2211yescharacteristic, complemented
174#16863458C2211yescharacteristic, complemented
175#16863456C2211yescharacteristic, complemented
176#16863402C2211yescharacteristic, complemented
177#16863399C2211yescharacteristic, complemented
178#16863399C2211yescharacteristic, complemented
179#16863396C2211yescharacteristic, complemented
180#16863392C2211yescharacteristic, complemented
181C2×#14523965C2211yescharacteristic, complemented
182C2×#14523964C2211yescharacteristic, complemented
183#102×D67C2211yescharacteristic, complemented
184#16863364C2211yescharacteristic, complemented
185#16863361C2211yescharacteristic, complemented
186#16863358C2211yescharacteristic, complemented
187C2×(C2×D67)⋊C8C2211yescharacteristic, complemented
188C2×#137×C67C2211yescharacteristic, complemented
189C22×SD16×C67C2211yescharacteristic, complemented
190D4×Q8×C67C2211yescharacteristic, complemented
191#546×C67C2211yescharacteristic
192#497×C67C2211yescharacteristic, complemented
193#468×C67C2211yescharacteristic, complemented
194#467×C67C2211yescharacteristic, complemented
195#464×C67C2211yescharacteristic, complemented
196#461×C67C2211yescharacteristic, complemented
197#452×C67C2211yescharacteristic, complemented
198#451×C67C2211yescharacteristic, complemented
199#450×C67C2211yescharacteristic, complemented
200#448×C67C2211yescharacteristic, complemented
201#440×C67C2211yescharacteristic, complemented
202#435×C67C2211yescharacteristic, complemented
203C24×D67—21no—
204#14524089—42no—
205#14524089—42no—
206C2×#11761629C2311yescharacteristic
207C2×#11761629C2311yescharacteristic
208C2×#11761629C2311yescharacteristic
209C2×#11761629C2311yescharacteristic, complemented
210C2×#11761628—21no—
211C2×#11761628C2311yescharacteristic
212C22×D268—21no—
213C22×D268—21no—
214C22×D268C2311yescharacteristic
215C22×D268C2311yescharacteristic
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—21no—
224C2×D4×D67—42no—
225C2×D4×D67—42no—
226C2×D4×D67C2311yescharacteristic
227C2×D4×D67C2311yescharacteristic
228C2×D4×D67C2311yescharacteristic
229C2×D4×D67C2311yescharacteristic
230C2×D4×D67C2311yescharacteristic
231C22×C4×D67C2311yescharacteristic
232#14524070—42no—
233#14524070—42no—
234#14524070—42no—
235#14524066—42no—
236C2×#11761615—42no—
237C2×#11761615—42no—
238C2×#11761615C2311yescharacteristic
239C2×#11761615C2311yescharacteristic
240C2×#11761615C2311yescharacteristic
241C2×#11761615C2311yescharacteristic
242C2×#11761615C2311yescharacteristic
243C2×#11761615C2311yescharacteristic
244C2×#11761615C2311yescharacteristic, complemented
245C2×#11761615C2311yescharacteristic, complemented
246C2×#11761615C2311yescharacteristic, complemented
247C2×#11761615C2311yescharacteristic, complemented
248C2×D536C2311yescharacteristic
249C2×D536C2311yescharacteristic
250C2×D536C2311yescharacteristic, complemented
251C2×#11761613C2311yescharacteristic
252C2×#11761613C2311yescharacteristic
253C2×#11761611C2311yescharacteristic
254C2×#11761611C2311yescharacteristic
255C2×#11761611C2311yescharacteristic, complemented
256C22×C67⋊C8C2311yescharacteristic
257C22×C67⋊C8C2311yescharacteristic, complemented
258C2×C8×D67C2311yescharacteristic, complemented
259#14524042C2311yescharacteristic, complemented
260#14524041—21no—
261#14524040C2311yescharacteristic
262#14524039—21no—
263#14524039C2311yescharacteristic
264#14524038—21no—
265#14524038—21no—
266#14524038—21no—
267#14524038—21no—
268#14524037—21no—
269#14524037—21no—
270#14524036—21no—
271#14524035C2311yescharacteristic, complemented
272#14524033—21no—
273#14524033—21no—
274#14524033—21no—
275#14524033—21no—
276#14524032—21no—
277#14524032—21no—
278#14524032—21no—
279#14524032C2311yescharacteristic
280#14524032C2311yescharacteristic, complemented
281#14524031—21no—
282#14524029—21no—
283#14524029—21no—
284#14524028—21no—
285#14524028—21no—
286#14524028—21no—
287#14524028—21no—
288#14524028—21no—
289#14524028—21no—
290#14524028—21no—
291#14524028D411yescharacteristic
292#14524026—21no—
293#14524026—21no—
294#14524026—21no—
295#14524025—21no—
296#14524025—21no—
297#14524025D411yescharacteristic
298#14524023—21no—
299#14524021—21no—
300#14524021—21no—
301#14524021D411yescharacteristic
302#14524020—21no—
303#14524020D411yescharacteristic
304#14524019—21no—
305#14524019—21no—
306#14524019—21no—
307#14524019—21no—
308#14524019C2311yescharacteristic
309#14524019C2311yescharacteristic
310#14524019C2311yescharacteristic
311#14524019C2311yescharacteristic
312#14524019C2311yescharacteristic
313#14524019C2311yescharacteristic
314#14524019C2311yescharacteristic, complemented
315#14524019C2311yescharacteristic, complemented
316#14524018—21no—
317#14524018—21no—
318#14524018—21no—
319#14524018—21no—
320#14524018C2311yescharacteristic
321#14524018C2311yescharacteristic
322#14524018C2311yescharacteristic
323#14524017—21no—
324#14524017—21no—
325#14524017—21no—
326#14524017C2311yescharacteristic
327#14524017C2311yescharacteristic
328#14524017C2311yescharacteristic
329#14524017C2311yescharacteristic, complemented
330#14524016—21no—
331#14524016—21no—
332#14524016—21no—
333#14524016—21no—
334#14524016—21no—
335#14524016—21no—
336#14524016D411yescharacteristic
337#14524015—21no—
338#14524015—21no—
339#14524015—21no—
340#14524015D411yescharacteristic
341#14524014C2311yescharacteristic
342#14524013—21no—
343#14524013—21no—
344#14524013—21no—
345#14524013—21no—
346#14524013—21no—
347#14524013—21no—
348#14524013—21no—
349#14524013—21no—
350#14524013—21no—
351#14524013—21no—
352#14524013—21no—
353#14524013—21no—
354#14524013D411yescharacteristic
355#14524012—21no—
356#14524011—21no—
357#14524011—21no—
358#14524011—21no—
359#14524011—21no—
360#14524011D411yescharacteristic
361Q8×Dic67C2311yescharacteristic, complemented
362Q8×Dic67C2311yescharacteristic, complemented
363#14524008—21no—
364C4×D268C2311yescharacteristic
365C4×D268C2311yescharacteristic
366C4×D268C2311yescharacteristic, complemented
367D4×Dic67C2311yescharacteristic
368#14524005—21no—
369#14524005—21no—
370#14524005C2311yescharacteristic
371C4×C22⋊D67—21no—
372C4×C22⋊D67—21no—
373C4×C22⋊D67—21no—
374C4×C22⋊D67C2311yescharacteristic
375C4×C22⋊D67C2311yescharacteristic
376(C22⋊D67)⋊C4—21no—
377(C22⋊D67)⋊C4—21no—
378(C22⋊D67)⋊C4—21no—
379(C22⋊D67)⋊C4—21no—
380(C22⋊D67)⋊C4—21no—
381#14524002C2311yescharacteristic, complemented
382#14524001C2311yescharacteristic
383#14524001C2311yescharacteristic
384#14524000—21no—
385#14524000C2311yescharacteristic
386C2×C4⋊Dic67C2311yescharacteristic
387C2×Dic67⋊C4—21no—
388C4⋊C4×D67—21no—
389C4⋊C4×D67C2311yescharacteristic, complemented
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#14523976C2311yescharacteristic, complemented
398#14523976C2311yescharacteristic, complemented
399#14523975C2311yescharacteristic, complemented
400#14523975C2311yescharacteristic, complemented
401#14523974C2311yescharacteristic, complemented
402#14523974C2311yescharacteristic, complemented
403C4⋊(C67⋊C8)C2311yescharacteristic, complemented
404Dic67⋊C8C2311yescharacteristic, complemented
405Dic67⋊C8C2311yescharacteristic, complemented
406#14523967C2311yescharacteristic, complemented
407#14523967C2311yescharacteristic, complemented
408#14523967C2311yescharacteristic, complemented
409#14523967C2311yescharacteristic, complemented
410#14523967C2311yescharacteristic, complemented
411#14523967C2311yescharacteristic, complemented
412#14523965C2311yescharacteristic
413#14523965C2311yescharacteristic
414#14523965C2311yescharacteristic
415#14523965C2311yescharacteristic
416#14523965C2311yescharacteristic
417#14523965C2311yescharacteristic
418#14523965C2311yescharacteristic, complemented
419#14523965C2311yescharacteristic, complemented
420#14523965C2311yescharacteristic, complemented
421#14523965C2311yescharacteristic, complemented
422#14523964C2311yescharacteristic
423#14523964C2311yescharacteristic
424#14523964C2311yescharacteristic
425#14523964C2311yescharacteristic
426#14523964C2311yescharacteristic
427#14523964C2311yescharacteristic
428#14523963C2311yescharacteristic
429#14523963C2311yescharacteristic
430#14523963C2311yescharacteristic, complemented
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#14523953C2311yescharacteristic, complemented
443C4×C67⋊C8C2311yescharacteristic, complemented
444C8×Dic67C2311yescharacteristic, complemented
445C2×#41×C67C2311yescharacteristic
446C22×Q8×C67C2311yescharacteristic
447C22×Q8×C67C2311yescharacteristic, complemented
448C22×D4×C67C2311yescharacteristic
449#137×C67—42no—
450C2×Q16×C67C2311yescharacteristic, complemented
451C2×Q16×C67C2311yescharacteristic, complemented
452C2×Q16×C67C2311yescharacteristic, complemented
453C2×SD16×C67—42no—
454C2×SD16×C67C2311yescharacteristic
455C2×SD16×C67C2311yescharacteristic
456C2×SD16×C67C2311yescharacteristic
457C2×SD16×C67C2311yescharacteristic
458C2×SD16×C67C2311yescharacteristic
459C2×SD16×C67C2311yescharacteristic
460C2×M16×C67C2311yescharacteristic, complemented
461C22×C8×C67C2311yescharacteristic
462C4⋊Q8×C67—21no—
463C4⋊Q8×C67C2311yescharacteristic, complemented
464#124×C67C2311yescharacteristic
465#123×C67—21no—
466C22⋊Q8×C67—21no—
467C22⋊Q8×C67—21no—
468C22⋊Q8×C67C2311yescharacteristic
469C22⋊Q8×C67C2311yescharacteristic
470C22⋊Q8×C67C2311yescharacteristic, complemented
471#121×C67—21no—
472#121×C67C2311yescharacteristic
473#120×C67—21no—
474C4×Q8×C67C2311yescharacteristic, complemented
475C4×D4×C67—21no—
476C4×D4×C67C2311yescharacteristic
477C4×D4×C67C2311yescharacteristic
478C2×C22⋊C4×C67—21no—
479#107×C67C2311yescharacteristic, complemented
480C4⋊C8×C67C2311yescharacteristic, complemented
481#103×C67C2311yescharacteristic, complemented
482#103×C67C2311yescharacteristic, complemented
483#103×C67C2311yescharacteristic, complemented
484#103×C67C2311yescharacteristic, complemented
485#102×C67C2311yescharacteristic
486#102×C67C2311yescharacteristic
487C22⋊C8×C67C2311yescharacteristic
488C22⋊C8×C67C2311yescharacteristic, complemented
489#97×C67C2311yescharacteristic, complemented
490C23×D67—21no—
491C23×D67—21no—
492C23×D67—21no—
493C23×D67—21no—
494C23×D67—21no—
495C23×D67—21no—
496C23×D67—21no—
497C23×D67—44no—
498C23×D67—82no—
499C23×D67—82no—
500C23×D67C2×D411yescharacteristic
501#11761629—22no—
502#11761629—41no—
503#11761629—41no—
504#11761629—41no—
505#11761629—41no—
506#11761629—41no—
507#11761629—41no—
508#11761629—41no—
509#11761628—41no—
510#11761628—41no—
511#11761628—44no—
512C2×Dic134—21no—
513C2×Dic134C2×D411yescharacteristic
514C2×D268—22no—
515C2×D268—22no—
516C2×D268—21no—
517C2×D268—21no—
518C2×D268—21no—
519C2×D268—21no—
520C2×D268—21no—
521C2×D268—21no—
522C2×D268—21no—
523C2×D268—21no—
524C2×D268—21no—
525C2×D268—21no—
526C2×D268—21no—
527C2×D268—41no—
528C2×D268—41no—
529C2×D268—44no—
530C2×D268—82no—
531C2×D268C2×D411yescharacteristic
532C2×D268C2×D411yescharacteristic
533C2×D268C2411yescharacteristic
534C2×D268C2411yescharacteristic
535C2×D268C2411yescharacteristic
536C2×D268C2411yescharacteristic
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—21no—
544C2×C22⋊D67—21no—
545C2×C22⋊D67—21no—
546C2×C22⋊D67—21no—
547C2×C22⋊D67—21no—
548C2×C22⋊D67—21no—
549C2×C22⋊D67—44no—
550C2×C22⋊D67—82no—
551C2×C22⋊D67C2×D411yescharacteristic
552C2×C22⋊D67C2×D411yescharacteristic
553C2×C22⋊D67C2×D411yescharacteristic
554C2×C22⋊D67C2×D411yescharacteristic
555D4×D67—22no—
556D4×D67—22no—
557D4×D67—22no—
558D4×D67—22no—
559D4×D67—22no—
560D4×D67—41no—
561D4×D67—41no—
562D4×D67—41no—
563D4×D67—41no—
564D4×D67—41no—
565D4×D67—44no—
566D4×D67—44no—
567D4×D67—44no—
568D4×D67—44no—
569D4×D67—82no—
570D4×D67—82no—
571C22×Dic67—21no—
572C22×Dic67—21no—
573C22×Dic67C2×D411yescharacteristic
574C2×C4×D67—21no—
575C2×C4×D67—21no—
576C2×C4×D67—21no—
577C2×C4×D67—21no—
578C2×C4×D67—21no—
579C2×C4×D67—21no—
580C2×C4×D67—21no—
581C2×C4×D67—21no—
582C2×C4×D67—41no—
583C2×C4×D67—41no—
584C2×C4×D67C2×D411yescharacteristic
585C2×C4×D67C2×D411yescharacteristic
586C2×C4×D67C2411yescharacteristic
587C2×C4×D67C2411yescharacteristic
588C2×C4×D67C2411yescharacteristic
589#11761615—22no—
590#11761615—22no—
591#11761615—22no—
592#11761615—41no—
593#11761615—41no—
594#11761615—41no—
595#11761615—41no—
596#11761615—41no—
597#11761615—41no—
598#11761615—41no—
599D536—22no—
600D536—41no—
601D536—41no—
602#11761613—22no—
603#11761613—41no—
604#11761611—41no—
605#11761611—41no—
606#11761611—41no—
607C2×C67⋊C8—41no—
608C2×C67⋊C8—41no—
609C2×C67⋊C8C2411yescharacteristic
610C2×C67⋊C8C2411yescharacteristic
611C2×C67⋊C8C2411yescharacteristic
612C2×C67⋊C8C2411yescharacteristic
613C8×D67—41no—
614C4⋊Dic67—21no—
615C4⋊Dic67—21no—
616C4⋊Dic67—21no—
617C4⋊Dic67C2×D411yescharacteristic
618C4⋊Dic67C2411yescharacteristic
619C4⋊Dic67C2411yescharacteristic
620C4⋊Dic67C2411yescharacteristic
621C4⋊Dic67C2411yescharacteristic
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⋊C4—21no—
632Dic67⋊C4—21no—
633Dic67⋊C4—21no—
634Dic67⋊C4C2×D411yescharacteristic
635Dic67⋊C4C2×D411yescharacteristic
636Dic67⋊C4C2×D411yescharacteristic
637Dic67⋊C4C2×D411yescharacteristic
638C22⋊Dic67—21no—
639C22⋊Dic67—21no—
640C22⋊Dic67—21no—
641C22⋊Dic67C2×D411yescharacteristic
642C22⋊Dic67C2×D411yescharacteristic
643(C2×D67)⋊C4—21no—
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)⋊C4—21no—
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
672(C2×D67)⋊C4C2×D411yescharacteristic
673C4×Dic67—21no—
674C4×Dic67—21no—
675C4×Dic67—21no—
676C4×Dic67—21no—
677C4×Dic67—21no—
678C4×Dic67C2411yescharacteristic
679C24×C67—21no—
680#41×C67—22no—
681#41×C67—41no—
682C2×Q8×C67—21no—
683C2×Q8×C67—21no—
684C2×Q8×C67—41no—
685C2×Q8×C67—41no—
686C2×Q8×C67—41no—
687C2×Q8×C67—41no—
688C2×Q8×C67C2411yescharacteristic
689C2×Q8×C67C2411yescharacteristic
690C2×Q8×C67C2411yescharacteristic
691C2×Q8×C67C2411yescharacteristic
692C2×D4×C67—22no—
693C2×D4×C67—21no—
694C2×D4×C67—21no—
695C2×D4×C67—21no—
696C2×D4×C67—41no—
697C2×D4×C67C2×D411yescharacteristic
698C2×D4×C67C2411yescharacteristic
699C2×D4×C67C2411yescharacteristic
700C22×C4×C67—21no—
701C22×C4×C67—21no—
702C22×C4×C67—21no—
703C22×C4×C67—21no—
704C22×C4×C67C2411yescharacteristic
705C22×C4×C67C2411yescharacteristic
706Q16×C67—41no—
707Q16×C67—41no—
708Q16×C67—41no—
709SD16×C67—22no—
710SD16×C67—22no—
711SD16×C67—22no—
712SD16×C67—41no—
713SD16×C67—41no—
714SD16×C67—41no—
715M16×C67—41no—
716C2×C8×C67—41no—
717C2×C8×C67C2411yescharacteristic
718C2×C8×C67C2411yescharacteristic
719C2×C8×C67C2411yescharacteristic
720C2×C8×C67C2411yescharacteristic
721C4⋊C4×C67—21no—
722C4⋊C4×C67—21no—
723C4⋊C4×C67—21no—
724C4⋊C4×C67—21no—
725C4⋊C4×C67—21no—
726C4⋊C4×C67—21no—
727C4⋊C4×C67C2×D411yescharacteristic
728C4⋊C4×C67C2411yescharacteristic
729C4⋊C4×C67C2411yescharacteristic
730C22⋊C4×C67—21no—
731C22⋊C4×C67—21no—
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—42no—
744C23×C67—42no—
745C23×C67—81no—
746C23×C67C22×D411yescharacteristic
747C23×C67C22×D411yescharacteristic
748C22×D67—22no—
749C22×D67—21no—
750C22×D67—24no—
751C22×D67—21no—
752C22×D67—21no—
753C22×D67—21no—
754C22×D67—41no—
755C22×D67—41no—
756C22×D67—42no—
757C22×D67—42no—
758C22×D67—42no—
759C22×D67—42no—
760C22×D67—42no—
761C22×D67—42no—
762C22×D67—42no—
763C22×D67—42no—
764C22×D67—42no—
765C22×D67—81no—
766C22×D67—81no—
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—21no—
787Q8×C67—21no—
788Q8×C67—81no—
789Q8×C67—81no—
790D4×C67—22no—
791D4×C67—21no—
792D4×C67—21no—
793D4×C67—21no—
794D4×C67—42no—
795D4×C67—42no—
796D4×C67—81no—
797D4×C67H(5,𝔽2)12yes—
798C2×C4×C67—21no—
799C2×C4×C67—21no—
800C2×C4×C67—21no—
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—42no—
809C2×C4×C67—81no—
810C2×C4×C67—81no—
811C2×C4×C67—81no—
812C2×C4×C67C22×D411yescharacteristic
813C2×C4×C67C22×D411yescharacteristic
814C2×C4×C67C22×D411yescharacteristic
815C2×C4×C67C22×D411yescharacteristic
816C2×C4×C67C2511yescharacteristic
817C22⋊D67—24no—
818C22⋊D67—22no—
819C22⋊D67—41no—
820C22⋊D67—41no—
821C22⋊D67—41no—
822C22⋊D67—42no—
823C22⋊D67—42no—
824C22⋊D67—42no—
825C22⋊D67—42no—
826C22⋊D67—42no—
827C22⋊D67—42no—
828C22⋊D67—81no—
829C22⋊D67—81no—
830C22⋊D67—81no—
831C22⋊D67—81no—
832C22⋊D67—81no—
833C2×Dic67—21no—
834C2×Dic67—21no—
835C2×Dic67—21no—
836C2×Dic67—21no—
837C2×Dic67—41no—
838C2×Dic67—81no—
839C2×Dic67—81no—
840C2×Dic67C22×D411yescharacteristic
841C2×Dic67C22×D411yescharacteristic
842C2×Dic67C22×D411yescharacteristic
843C2×Dic67C22×D411yescharacteristic
844C2×Dic67C22×D411yescharacteristic
845D268—21no—
846D268—21no—
847D268—21no—
848D268—21no—
849D268—21no—
850D268—21no—
851D268—21no—
852D268—41no—
853D268—41no—
854D268—42no—
855D268—42no—
856D268—42no—
857D268—42no—
858D268—42no—
859D268—81no—
860D268—81no—
861D268—81no—
862D268—81no—
863D268—81no—
864D268—81no—
865D268H(5,𝔽2)12yes—
866C4×D67—21no—
867C4×D67—21no—
868C4×D67—21no—
869C4×D67—21no—
870C4×D67—21no—
871C4×D67—21no—
872C4×D67—41no—
873C4×D67—41no—
874C4×D67—42no—
875C4×D67—42no—
876C4×D67—81no—
877C4×D67—81no—
878C4×D67—81no—
879C4×D67—81no—
880C4×D67—81no—
881C4×D67—81no—
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—84no—
904C22×C67#57712yes—
905C22×C67C23×D411yescharacteristic
906C2×D67—21no—
907C2×D67—21no—
908C2×D67—21no—
909C2×D67—21no—
910C2×D67—21no—
911C2×D67—21no—
912C2×D67—22no—
913C2×D67—21no—
914C2×D67—21no—
915C2×D67—21no—
916C2×D67—44no—
917C2×D67—41no—
918C2×D67—41no—
919C2×D67—41no—
920C2×D67—41no—
921C2×D67—41no—
922C2×D67—41no—
923C2×D67—41no—
924C2×D67—41no—
925C2×D67—41no—
926C2×D67—41no—
927C2×D67—41no—
928C2×D67—84no—
929C2×D67—84no—
930C2×D67—84no—
931C2×D67—84no—
932C2×D67—84no—
933C2×D67—162no—
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×C67—41no—
945C4×C67C2×H(5,𝔽2)11yescharacteristic
946C4×C67C2×H(5,𝔽2)11yescharacteristic
947Dic67—21no—
948Dic67—21no—
949Dic67—21no—
950Dic67—21no—
951Dic67—21no—
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#348411yescharacteristic
962C2×C67C2×#57711yescharacteristic
963C2×C67#358511yescharacteristic
964D67—41no—
965D67—41no—
966D67—41no—
967D67—42no—
968D67—81no—
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×SD16—671no—
983#3275—671no—
984#3272—671no—
985#3267—671no—
986#3266D6711yescharacteristic, complemented
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×#137C2×D6711yescharacteristic, complemented
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×SD16—671no—
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—1341no—
1029#546—1341no—
1030#546C2×D6711yescharacteristic
1031D42—671no—
1032D42—671no—
1033D42—671no—
1034D42—671no—
1035D42—1341no—
1036D42—1341no—
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#497C2×D6711yescharacteristic, complemented
1057#496—671no—
1058#495—671no—
1059#492—671no—
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#468C2×D6711yescharacteristic, complemented
1088#467C2×D6711yescharacteristic, complemented
1089#466—671no—
1090#466—671no—
1091#465—671no—
1092#465—671no—
1093#465—671no—
1094#465—671no—
1095#465—671no—
1096#464—671no—
1097#464—671no—
1098#464C2×D6711yescharacteristic, complemented
1099#463—671no—
1100#463—671no—
1101#463—671no—
1102#461—671no—
1103#461C2×D6711yescharacteristic, complemented
1104#460—671no—
1105#460—671no—
1106#460—671no—
1107#459—671no—
1108#452—671no—
1109#452—671no—
1110#452—671no—
1111#452—671no—
1112#452—671no—
1113#452—671no—
1114#452C2×D6711yescharacteristic, complemented
1115#451C2×D6711yescharacteristic, complemented
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#450—671no—
1130#450C2×D6711yescharacteristic, complemented
1131#449—671no—
1132#449—671no—
1133#449—671no—
1134#449—671no—
1135#449—671no—
1136#448—671no—
1137#448—671no—
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#440C2×D6711yescharacteristic, complemented
1148C4×SD16—671no—
1149C4×SD16—671no—
1150C4×SD16—671no—
1151C4×D8—671no—
1152#436—671no—
1153#436—671no—
1154#435—671no—
1155#435—671no—
1156#435—671no—
1157#435C2×D6711yescharacteristic, complemented
1158C8×D4—671no—
1159C8×D4—671no—
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—1341no—
1183C2×#41C22×D6711yescharacteristic
1184C22×Q8C22×D6711yescharacteristic
1185C22×Q8C22×D6711yescharacteristic, complemented
1186C22×D4—2682no—
1187C22×D4—2682no—
1188C22×D4—671no—
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×D4—1341no—
1205C22×D4C22×D6711yescharacteristic
1206C23×C4—671no—
1207#137—42no—
1208AGL(1,ℤ/8)—2682no—
1209AGL(1,ℤ/8)—2682no—
1210AGL(1,ℤ/8)—2682no—
1211#135—2682no—
1212C2×Q16C22×D6711yescharacteristic, complemented
1213C2×Q16C22×D6711yescharacteristic, complemented
1214C2×Q16C22×D6711yescharacteristic, complemented
1215C2×SD16—42no—
1216C2×SD16—2682no—
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×SD16—671no—
1226C2×SD16—671no—
1227C2×SD16—671no—
1228C2×SD16C22×D6711yescharacteristic
1229C2×SD16C22×D6711yescharacteristic
1230C2×SD16C22×D6711yescharacteristic
1231C2×SD16C22×D6711yescharacteristic
1232C2×SD16C22×D6711yescharacteristic
1233C2×SD16C22×D6711yescharacteristic
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×M16C22×D6711yescharacteristic, complemented
1243C22×C8—671no—
1244C22×C8—671no—
1245C22×C8—671no—
1246C22×C8C22×D6711yescharacteristic
1247C4⋊Q8—21no—
1248C4⋊Q8—671no—
1249C4⋊Q8—1341no—
1250C4⋊Q8C22×D6711yescharacteristic, complemented
1251#127—671no—
1252#127—671no—
1253#127—1341no—
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—1341no—
1269#124—1341no—
1270#124—1341no—
1271#124—1341no—
1272#124—1341no—
1273#124—1341no—
1274#124C22×D6711yescharacteristic
1275#123—21no—
1276#123—671no—
1277#123—671no—
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—1341no—
1303C22⋊Q8—1341no—
1304C22⋊Q8—1341no—
1305C22⋊Q8—1341no—
1306C22⋊Q8—1341no—
1307C22⋊Q8—1341no—
1308C22⋊Q8—1341no—
1309C22⋊Q8—1341no—
1310C22⋊Q8C22×D6711yescharacteristic
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—671no—
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#121—1341no—
1340#121C22×D6711yescharacteristic
1341#120—21no—
1342#120—671no—
1343#120—671no—
1344#120—1341no—
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—21no—
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#107C22×D6711yescharacteristic, complemented
1405#106—671no—
1406#106—671no—
1407#106—671no—
1408#106—671no—
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#103C22×D6711yescharacteristic, complemented
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#102—671no—
1443#102C22×D6711yescharacteristic
1444#102C22×D6711yescharacteristic
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#97C22×D6711yescharacteristic, complemented
1459C4×C8—671no—
1460C4×C8—671no—
1461C24—21no—
1462C24—2684no—
1463C24—5362no—
1464C24—5362no—
1465C24—671no—
1466C24—1341no—
1467C24—1341no—
1468C24—1341no—
1469C24—1341no—
1470C24—1341no—
1471C24—1341no—
1472C24—1341no—
1473#41—22no—
1474#41—41no—
1475#41—2681no—
1476#41—2681no—
1477#41—2684no—
1478#41—2681no—
1479#41—2681no—
1480#41—2681no—
1481#41—2681no—
1482#41—2681no—
1483#41—2681no—
1484#41—2681no—
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—1341no—
1494C2×Q8C23×D6711yescharacteristic
1495C2×Q8C23×D6711yescharacteristic
1496C2×Q8C23×D6711yescharacteristic
1497C2×Q8C23×D6711yescharacteristic
1498C2×D4—22no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—41no—
1503C2×D4—2681no—
1504C2×D4—2681no—
1505C2×D4—2684no—
1506C2×D4—2684no—
1507C2×D4—2684no—
1508C2×D4—2684no—
1509C2×D4—2684no—
1510C2×D4—2684no—
1511C2×D4—2681no—
1512C2×D4—2681no—
1513C2×D4—2681no—
1514C2×D4—2681no—
1515C2×D4—2681no—
1516C2×D4—5362no—
1517C2×D4—5362no—
1518C2×D4—5362no—
1519C2×D4—5362no—
1520C2×D4—671no—
1521C2×D4—671no—
1522C2×D4—671no—
1523C2×D4—671no—
1524C2×D4—671no—
1525C2×D4—671no—
1526C2×D4—671no—
1527C2×D4—671no—
1528C2×D4—671no—
1529C2×D4—671no—
1530C2×D4—1341no—
1531C2×D4—1341no—
1532C2×D4—1341no—
1533C2×D4—1342no—
1534C2×D4—1342no—
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—1341no—
1546C2×D4—1342no—
1547C2×D4—1342no—
1548C2×D4—1341no—
1549C2×D4—1341no—
1550C2×D4—1342no—
1551C2×D4—1342no—
1552C2×D4—1341no—
1553C2×D4—1341no—
1554C2×D4—1341no—
1555C2×D4—1342no—
1556C2×D4—1341no—
1557C2×D4—1341no—
1558C2×D4—1341no—
1559C2×D4—1341no—
1560C2×D4D4×D6711yescharacteristic
1561C2×D4C23×D6711yescharacteristic
1562C2×D4C23×D6711yescharacteristic
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—21no—
1567C22×C4—2681no—
1568C22×C4—2681no—
1569C22×C4—671no—
1570C22×C4—671no—
1571C22×C4—671no—
1572C22×C4—671no—
1573C22×C4—671no—
1574C22×C4—671no—
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—41no—
1588Q16—41no—
1589Q16—41no—
1590SD16—22no—
1591SD16—22no—
1592SD16—22no—
1593SD16—41no—
1594SD16—41no—
1595SD16—41no—
1596SD16—2681no—
1597SD16—2681no—
1598SD16—2681no—
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—41no—
1612M16—2681no—
1613M16—2681no—
1614M16—2681no—
1615C2×C8—41no—
1616C2×C8—2681no—
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—21no—
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—671no—
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—21no—
1666C22⋊C4—21no—
1667C22⋊C4—671no—
1668C22⋊C4—671no—
1669C22⋊C4—671no—
1670C22⋊C4—671no—
1671C22⋊C4—671no—
1672C22⋊C4—671no—
1673C22⋊C4—671no—
1674C22⋊C4—671no—
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—42no—
1715C23—42no—
1716C23—81no—
1717C23—2681no—
1718C23—2681no—
1719C23—2682no—
1720C23—2682no—
1721C23—2682no—
1722C23—2682no—
1723C23—2682no—
1724C23—2682no—
1725C23—2682no—
1726C23—2682no—
1727C23—2682no—
1728C23—5361no—
1729C23—5361no—
1730C23—5361no—
1731C23—5361no—
1732C23—5361no—
1733C23—5361no—
1734C23—5361no—
1735C23—5361no—
1736C23—5361no—
1737C23—5361no—
1738C23—5361no—
1739C23—53616no—
1740C23—671no—
1741C23—671no—
1742C23—671no—
1743C23—1344no—
1744C23—1341no—
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—21no—
1758Q8—21no—
1759Q8—81no—
1760Q8—81no—
1761Q8—2681no—
1762Q8—5361no—
1763D4—22no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—42no—
1768D4—42no—
1769D4—81no—
1770D4—2682no—
1771D4—2682no—
1772D4—2681no—
1773D4—2681no—
1774D4—2682no—
1775D4—2682no—
1776D4—2682no—
1777D4—2682no—
1778D4—2682no—
1779D4—2682no—
1780D4—2682no—
1781D4—2681no—
1782D4—2681no—
1783D4—2681no—
1784D4—2682no—
1785D4—2682no—
1786D4—5361no—
1787D4—5361no—
1788D4—5361no—
1789D4—5361no—
1790D4—5361no—
1791D4—5361no—
1792D4—5361no—
1793D4—5361no—
1794D4—5361no—
1795D4—5361no—
1796D4—5361no—
1797D4—672no—
1798D4—1344no—
1799D4—1342no—
1800D4—1341no—
1801D4—1341no—
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—21no—
1818C2×C4—42no—
1819C2×C4—81no—
1820C2×C4—81no—
1821C2×C4—81no—
1822C2×C4—2681no—
1823C2×C4—2681no—
1824C2×C4—2682no—
1825C2×C4—2682no—
1826C2×C4—2681no—
1827C2×C4—5361no—
1828C2×C4—5361no—
1829C2×C4—5361no—
1830C2×C4—5361no—
1831C2×C4—5361no—
1832C2×C4—5361no—
1833C2×C4—5361no—
1834C2×C4—5361no—
1835C2×C4—671no—
1836C2×C4—671no—
1837C2×C4—671no—
1838C2×C4—671no—
1839C2×C4—671no—
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—84no—
1875C22—2684no—
1876C22—2681no—
1877C22—2681no—
1878C22—2681no—
1879C22—2681no—
1880C22—2681no—
1881C22—2681no—
1882C22—2681no—
1883C22—2681no—
1884C22—2681no—
1885C22—2681no—
1886C22—2681no—
1887C22—5364no—
1888C22—5364no—
1889C22—5364no—
1890C22—5364no—
1891C22—5364no—
1892C22—10722no—
1893C22—10722no—
1894C22—1341no—
1895C22—1341no—
1896C22—1342no—
1897C22—1341no—
1898C22—1341no—
1899C22—1341no—
1900C22—1341no—
1901C22—1341no—
1902C22—1341no—
1903C22—1341no—
1904C22#1686420512yes—
1905C22C22×D4×D6711yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—41no—
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—2681no—
1932C2—2681no—
1933C2—2682no—
1934C2—2681no—
1935C2—5361no—
1936C2—5361no—
1937C2—5361no—
1938C2#2257383711yescharacteristic
1939C2C2×#1686420511yescharacteristic
1940C2#2257498711yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3266C2
socleC22×C67C23×D4
hypercenter#3266D67
hypocenterC67#61610
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
1. #22574507C2semidirect
2. #22573839C2semidirect
3. #22572435C2semidirect
4. #22572432C2semidirect
5. #22572352C2semidirect
6. #22572296C2semidirect
7. #22572249C2semidirect
8. #22572235C2semidirect
9. #22572059C2semidirect
10. #22572026C2semidirect
11. #22571909C2semidirect
12. D4×#11761615C2semidirect
13. #22571834C2semidirect
14. #22571812C2semidirect
15. #22571733C2semidirect
16. #22571704C2semidirect
17. #22571697C2semidirect
18. #22571310C2semidirect
19. #22571276C2semidirect
20. #22571079C2semidirect
21. #22571062C2semidirect
22. #22571042C2semidirect
23. #22571003C2semidirect
24. #22570459C2semidirect
25. #22570397C2semidirect
26. #22569517C2semidirect
27. #22569485C2semidirect
28. #22569437C2semidirect
29. C2×#16863545C2semidirect
30. #22569258C2semidirect
31. C67×#3266C2semidirect
34. C2×#14524070C22semidirect
35. C2×#14524070C22semidirect
36. C2×#14524070C22semidirect
37. C2×#14524066C22semidirect
38. C22×#11761615C22semidirect
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
75. #16863909C22semidirect
77. C2×#14524019C22semidirect
81. #16863782C22semidirect
82. #16863781C22semidirect
83. #16863770C22semidirect
84. #16863761C22semidirect
85. #16863757C22semidirect
86. #16863750C22semidirect
87. #16863741C22semidirect
88. #16863736C22semidirect
89. #16863736C22semidirect
90. #16863735C22semidirect
91. #16863735C22semidirect
92. #16863729C22semidirect
93. #16863723C22semidirect
94. #16863723C22semidirect
95. #16863721C22semidirect
96. #16863717C22semidirect
97. #16863715C22semidirect
98. #16863713C22semidirect
99. #16863711C22semidirect
100. #16863697C22semidirect
101. #16863696C22semidirect
102. #16863684C22semidirect
103. #16863675C22semidirect
104. #16863651C22semidirect
105. #16863651C22semidirect
106. #16863649C22semidirect
107. #16863645C22semidirect
108. #16863645C22semidirect
109. #16863645C22semidirect
110. #16863639C22semidirect
111. #16863632C22semidirect
112. #16863630C22semidirect
113. #16863628C22semidirect
114. #16863627C22semidirect
115. #16863627C22semidirect
116. #16863627C22semidirect
117. #16863622C22semidirect
118. #16863620C22semidirect
119. #16863620C22semidirect
120. #16863614C22semidirect
121. #16863613C22semidirect
122. #16863608C22semidirect
123. #16863598C22semidirect
124. #16863596C22semidirect
125. #16863594C22semidirect
126. #16863594C22semidirect
127. #16863592C22semidirect
128. #16863557C22semidirect
129. #16863557C22semidirect
130. #16863557C22semidirect
131. #16863557C22semidirect
132. #16863557C22semidirect
133. #16863557C22semidirect
134. #16863546C22semidirect
135. #16863546C22semidirect
139. #16863545C22semidirect
140. #16863545C22semidirect
141. #16863545C22semidirect
142. #16863545C22semidirect
143. #16863545C22semidirect
144. #16863545C22semidirect
145. #16863545C22semidirect
146. #16863545C22semidirect
147. #16863545C22semidirect
148. #16863544C22semidirect
149. #16863544C22semidirect
150. #16863544C22semidirect
151. #16863541C22semidirect
152. #16863540C22semidirect
153. #16863535C22semidirect
154. #16863535C22semidirect
155. #16863532C22semidirect
156. #16863532C22semidirect
158. #16863531C22semidirect
159. #16863530C22semidirect
160. #16863509C22semidirect
161. #16863499C22semidirect
162. #16863497C22semidirect
163. SD16×Dic67C22semidirect
164. C4×#11761615C22semidirect
165. #16863481C22semidirect
166. C4×#11761613C22semidirect
167. #16863473C22semidirect
168. #16863472C22semidirect
169. #16863469C22semidirect
170. #16863467C22semidirect
171. #16863464C22semidirect
172. D4×C67⋊C8C22semidirect
173. (C22⋊D67)⋊C8C22semidirect
174. #16863458C22semidirect
175. #16863456C22semidirect
176. #16863402C22semidirect
177. #16863399C22semidirect
178. #16863399C22semidirect
179. #16863396C22semidirect
180. #16863392C22semidirect
181. C2×#14523965C22semidirect
182. C2×#14523964C22semidirect
183. #102×D67C22semidirect
184. #16863364C22semidirect
185. #16863361C22semidirect
186. #16863358C22semidirect
187. C2×(C2×D67)⋊C8C22semidirect
188. C2×#137×C67C22semidirect
189. C22×SD16×C67C22semidirect
190. D4×Q8×C67C22semidirect
192. #497×C67C22semidirect
193. #468×C67C22semidirect
194. #467×C67C22semidirect
195. #464×C67C22semidirect
196. #461×C67C22semidirect
197. #452×C67C22semidirect
198. #451×C67C22semidirect
199. #450×C67C22semidirect
200. #448×C67C22semidirect
201. #440×C67C22semidirect
202. #435×C67C22semidirect
209. C2×#11761629C23semidirect
244. C2×#11761615C23semidirect
245. C2×#11761615C23semidirect
246. C2×#11761615C23semidirect
247. C2×#11761615C23semidirect
250. C2×D536C23semidirect
255. C2×#11761611C23semidirect
257. C22×C67⋊C8C23semidirect
258. C2×C8×D67C23semidirect
259. #14524042C23semidirect
271. #14524035C23semidirect
280. #14524032C23semidirect
314. #14524019C23semidirect
315. #14524019C23semidirect
329. #14524017C23semidirect
361. Q8×Dic67C23semidirect
362. Q8×Dic67C23semidirect
366. C4×D268C23semidirect
381. #14524002C23semidirect
389. C4⋊C4×D67C23semidirect
396. #14523977C23semidirect
397. #14523976C23semidirect
398. #14523976C23semidirect
399. #14523975C23semidirect
400. #14523975C23semidirect
401. #14523974C23semidirect
402. #14523974C23semidirect
403. C4⋊(C67⋊C8)C23semidirect
404. Dic67⋊C8C23semidirect
405. Dic67⋊C8C23semidirect
406. #14523967C23semidirect
407. #14523967C23semidirect
408. #14523967C23semidirect
409. #14523967C23semidirect
410. #14523967C23semidirect
411. #14523967C23semidirect
418. #14523965C23semidirect
419. #14523965C23semidirect
420. #14523965C23semidirect
421. #14523965C23semidirect
430. #14523963C23semidirect
431. #14523963C23semidirect
433. C22⋊(C67⋊C8)C23semidirect
440. (C2×D67)⋊C8C23semidirect
441. (C2×D67)⋊C8C23semidirect
442. #14523953C23semidirect
443. C4×C67⋊C8C23semidirect
444. C8×Dic67C23semidirect
447. C22×Q8×C67C23semidirect
450. C2×Q16×C67C23semidirect
451. C2×Q16×C67C23semidirect
452. C2×Q16×C67C23semidirect
460. C2×M16×C67C23semidirect
463. C4⋊Q8×C67C23semidirect
470. C22⋊Q8×C67C23semidirect
474. C4×Q8×C67C23semidirect
479. #107×C67C23semidirect
480. C4⋊C8×C67C23semidirect
481. #103×C67C23semidirect
482. #103×C67C23semidirect
483. #103×C67C23semidirect
484. #103×C67C23semidirect
488. C22⋊C8×C67C23semidirect
489. #97×C67C23semidirect
986. #3266D67semidirect
1002. C67#61610semidirect
1005. C2×#137C2×D67semidirect
1012. C22×SD16C2×D67semidirect
1021. D4×Q8C2×D67semidirect
1056. #497C2×D67semidirect
1087. #468C2×D67semidirect
1088. #467C2×D67semidirect
1098. #464C2×D67semidirect
1103. #461C2×D67semidirect
1114. #452C2×D67semidirect
1115. #451C2×D67semidirect
1130. #450C2×D67semidirect
1138. #448C2×D67semidirect
1147. #440C2×D67semidirect
1157. #435C2×D67semidirect
1185. C22×Q8C22×D67semidirect
1212. C2×Q16C22×D67semidirect
1213. C2×Q16C22×D67semidirect
1214. C2×Q16C22×D67semidirect
1242. C2×M16C22×D67semidirect
1250. C4⋊Q8C22×D67semidirect
1312. C22⋊Q8C22×D67semidirect
1364. C4×Q8C22×D67semidirect
1404. #107C22×D67semidirect
1412. C4⋊C8C22×D67semidirect
1419. #103C22×D67semidirect
1420. #103C22×D67semidirect
1421. #103C22×D67semidirect
1422. #103C22×D67semidirect
1456. C22⋊C8C22×D67semidirect
1458. #97C22×D67semidirect

Maximal subgroups

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

subgroupindex
#225745072
#225738392
#225724352
#225724322
#225723522
#225722962
#225722492
#225722352
#225720592
#225720262
#225719092
D4×#117616152
#225718342
#225718122
#225717332
#225717042
#225716972
#225713102
#225712762
#225710792
#225710622
#225710422
#225710032
#225704592
#225703972
#225695172
#225694852
#225694372
C2×#168635452
#225692582
C67×#32662
#6161067