Finite Group Databasebeta

← #31741908

Subgroups — #31741908

Order 17152.

2350 conjugacy classes of subgroups.

The subgroup lattice has 2026 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574440C211yesmaximal, characteristic, complemented
2#22573839C211yesmaximal, characteristic, complemented
3#22572355C211yesmaximal, characteristic, complemented
4#22572354C211yesmaximal, characteristic, complemented
5#22572352C211yesmaximal, characteristic, complemented
6#22572345C211yesmaximal, characteristic, complemented
7#22572066C211yesmaximal, characteristic, complemented
8#22572065C211yesmaximal, characteristic, complemented
9#22572059C211yesmaximal, characteristic, complemented
10#22572052C211yesmaximal, characteristic, complemented
11D4×#11761613C211yesmaximal, characteristic, complemented
12#22571881C211yesmaximal, characteristic, complemented
13D8×C22⋊D67C211yesmaximal, characteristic, complemented
14#22571879C211yesmaximal, characteristic, complemented
15#22571693C211yesmaximal, characteristic, complemented
16#22571688C211yesmaximal, characteristic, complemented
17#22571683C211yesmaximal, characteristic, complemented
18#22571256C211yesmaximal, characteristic, complemented
19#22571254C211yesmaximal, characteristic, complemented
20#22571072C211yesmaximal, characteristic, complemented
21#22571071C211yesmaximal, characteristic, complemented
22#22570977C211yesmaximal, characteristic, complemented
23#22570975C211yesmaximal, characteristic, complemented
24#22570451C211yesmaximal, characteristic, complemented
25#22570450C211yesmaximal, characteristic, complemented
26#22569476C211yesmaximal, characteristic, complemented
27#22569474C211yesmaximal, characteristic, complemented
28C2×#16863528C211yesmaximal, characteristic, complemented
29#447×D67C211yesmaximal, characteristic, complemented
30#22569260C211yesmaximal, characteristic, complemented
31C67×#3264C211yesmaximal, characteristic, complemented
32C2×#14524089C2211yescharacteristic, complemented
33C22×D4×D67C2211yescharacteristic, complemented
34C2×#14524070C2211yescharacteristic, complemented
35C22×#11761613C2211yescharacteristic, complemented
36C22×#11761613C2211yescharacteristic, complemented
37C2×D8×D67C2211yescharacteristic, complemented
38C2×D8×D67C2211yescharacteristic, complemented
39C2×D8×D67C2211yescharacteristic, complemented
40#16864135—21no—
41#16864134—21no—
42#16864098C2211yescharacteristic, complemented
43#16864096C2211yescharacteristic, complemented
44#16864093C2211yescharacteristic, complemented
45#16864092C2211yescharacteristic, complemented
46#16864039C2211yescharacteristic, complemented
47#16864038—21no—
48#16864037C2211yescharacteristic, complemented
49#16864036—21no—
50#16864034C2211yescharacteristic, complemented
51D4×D268C2211yescharacteristic, complemented
52D4×D268C2211yescharacteristic, complemented
53#16864031C2211yescharacteristic, complemented
54#16864030—21no—
55#16864030C2211yescharacteristic, complemented
56D4×C22⋊D67—21no—
57D4×C22⋊D67C2211yescharacteristic, complemented
58D4×C22⋊D67C2211yescharacteristic, complemented
59D4×C22⋊D67C2211yescharacteristic, complemented
60#16864028—21no—
61#16864028—21no—
62#16864000C2211yescharacteristic, complemented
63#16863997C2211yescharacteristic, complemented
64#16863981—21no—
65#16863978—21no—
66#16863964C2211yescharacteristic, complemented
67#16863963C2211yescharacteristic, complemented
68#16863962C2211yescharacteristic, complemented
69#16863962C2211yescharacteristic, complemented
70#16863957—21no—
71#16863956—21no—
72#16863955—21no—
73#16863954—21no—
74#16863909C2211yescharacteristic, complemented
75#16863905C2211yescharacteristic
76C2×#14524014C2211yescharacteristic, complemented
77#121×D67C2211yescharacteristic, complemented
78C2×#14524013—21no—
79#120×D67—21no—
80#16863868C2211yescharacteristic, complemented
81#16863782C2211yescharacteristic, complemented
82#16863772C2211yescharacteristic, complemented
83#16863771C2211yescharacteristic, complemented
84#16863761C2211yescharacteristic, complemented
85#16863759C2211yescharacteristic, complemented
86#16863752C2211yescharacteristic, complemented
87#16863750C2211yescharacteristic, complemented
88#16863730C2211yescharacteristic, complemented
89#16863729C2211yescharacteristic, complemented
90#16863722C2211yescharacteristic, complemented
91#16863722C2211yescharacteristic, complemented
92#16863721C2211yescharacteristic, complemented
93#16863719C2211yescharacteristic, complemented
94#16863719C2211yescharacteristic, complemented
95#16863719C2211yescharacteristic, complemented
96#16863718C2211yescharacteristic, complemented
97#16863717C2211yescharacteristic, complemented
98#16863716C2211yescharacteristic, complemented
99#16863715C2211yescharacteristic, complemented
100#16863698C2211yescharacteristic, complemented
101#16863697C2211yescharacteristic, complemented
102#16863696C2211yescharacteristic, complemented
103#16863695C2211yescharacteristic, complemented
104#16863649C2211yescharacteristic, complemented
105#16863648C2211yescharacteristic, complemented
106#16863646C2211yescharacteristic, complemented
107#16863632C2211yescharacteristic, complemented
108#16863631C2211yescharacteristic, complemented
109#16863631C2211yescharacteristic, complemented
110#16863631C2211yescharacteristic, complemented
111#16863630C2211yescharacteristic, complemented
112#16863630C2211yescharacteristic, complemented
113#16863630C2211yescharacteristic, complemented
114#16863629C2211yescharacteristic, complemented
115#16863627C2211yescharacteristic, complemented
116#16863622C2211yescharacteristic, complemented
117#16863622C2211yescharacteristic, complemented
118#16863613C2211yescharacteristic, complemented
119#16863613C2211yescharacteristic, complemented
120#16863608C2211yescharacteristic, complemented
121#16863592C2211yescharacteristic, complemented
122#16863591C2211yescharacteristic, complemented
123#16863590C2211yescharacteristic, complemented
124#16863589C2211yescharacteristic, complemented
125#16863589C2211yescharacteristic, complemented
126#16863589C2211yescharacteristic, complemented
127#16863588C2211yescharacteristic, complemented
128#16863545C2211yescharacteristic, complemented
129#16863544C2211yescharacteristic, complemented
130#16863541C2211yescharacteristic, complemented
131#16863540C2211yescharacteristic, complemented
132#16863540C2211yescharacteristic, complemented
133#16863540C2211yescharacteristic, complemented
134#16863540C2211yescharacteristic, complemented
135#16863540C2211yescharacteristic, complemented
136#16863532C2211yescharacteristic, complemented
137#16863532C2211yescharacteristic, complemented
138#16863531C2211yescharacteristic, complemented
139#16863531C2211yescharacteristic, complemented
140#16863531C2211yescharacteristic, complemented
141#16863531C2211yescharacteristic, complemented
142#16863530C2211yescharacteristic, complemented
143#16863530C2211yescharacteristic, complemented
144#16863530C2211yescharacteristic, complemented
145#16863529C2211yescharacteristic, complemented
146#16863529C2211yescharacteristic, complemented
147#16863528C2211yescharacteristic, complemented
148#16863528C2211yescharacteristic, complemented
149#16863528C2211yescharacteristic, complemented
150#16863528C2211yescharacteristic, complemented
151#16863528C2211yescharacteristic, complemented
152#16863528C2211yescharacteristic, complemented
153#16863528C2211yescharacteristic, complemented
154#16863528C2211yescharacteristic, complemented
155#16863528C2211yescharacteristic, complemented
156#16863528C2211yescharacteristic, complemented
157#16863528C2211yescharacteristic, complemented
158#16863528C2211yescharacteristic, complemented
159#16863528C2211yescharacteristic, complemented
160#16863509C2211yescharacteristic, complemented
161#16863508C2211yescharacteristic, complemented
162#16863505C2211yescharacteristic, complemented
163D8×Dic67C2211yescharacteristic, complemented
164C4×#11761613C2211yescharacteristic, complemented
165C4×#11761613C2211yescharacteristic, complemented
166#16863476C2211yescharacteristic, complemented
167#16863469C2211yescharacteristic, complemented
168#16863465C2211yescharacteristic, complemented
169#16863464C2211yescharacteristic, complemented
170D4×C67⋊C8C2211yescharacteristic, complemented
171#16863461C2211yescharacteristic, complemented
172C8×C22⋊D67C2211yescharacteristic, complemented
173(C22⋊D67)⋊C8C2211yescharacteristic, complemented
174#16863458C2211yescharacteristic, complemented
175#16863456C2211yescharacteristic, complemented
176#16863402C2211yescharacteristic, complemented
177#16863399C2211yescharacteristic, complemented
178#16863392C2211yescharacteristic, complemented
179#16863391C2211yescharacteristic, complemented
180C2×#14523965C2211yescharacteristic, complemented
181C2×#14523964C2211yescharacteristic, complemented
182#102×D67C2211yescharacteristic, complemented
183#102×D67C2211yescharacteristic, complemented
184#16863364C2211yescharacteristic, complemented
185#16863361C2211yescharacteristic, complemented
186C2×(C2×D67)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D67C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C67C2211yescharacteristic, complemented
189C22×D8×C67C2211yescharacteristic, complemented
190#546×C67C2211yescharacteristic, complemented
191D42×C67C2211yescharacteristic, complemented
192#496×C67C2211yescharacteristic, complemented
193#469×C67C2211yescharacteristic, complemented
194#465×C67C2211yescharacteristic, complemented
195#463×C67C2211yescharacteristic, complemented
196#459×C67C2211yescharacteristic, complemented
197#450×C67C2211yescharacteristic, complemented
198#449×C67C2211yescharacteristic, complemented
199#447×C67C2211yescharacteristic, complemented
200#447×C67C2211yescharacteristic, complemented
201#442×C67C2211yescharacteristic, complemented
202#435×C67C2211yescharacteristic, complemented
203C24×D67—21no—
204#14524089—42no—
205#14524089—42no—
206C2×#11761629C2311yescharacteristic
207C2×#11761629C2311yescharacteristic
208C2×#11761628—21no—
209C2×#11761628C2311yescharacteristic
210C22×D268—21no—
211C22×D268—21no—
212C22×D268C2311yescharacteristic
213C22×D268C2311yescharacteristic
214C22×C22⋊D67—21no—
215C22×C22⋊D67—21no—
216C22×C22⋊D67—21no—
217C22×C22⋊D67—21no—
218C22×C22⋊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—21no—
225C2×D4×D67—21no—
226C2×D4×D67—21no—
227C2×D4×D67—42no—
228C2×D4×D67—42no—
229C2×D4×D67C2311yescharacteristic
230C2×D4×D67C2311yescharacteristic
231C2×D4×D67C2311yescharacteristic
232C2×D4×D67C2311yescharacteristic
233C2×D4×D67C2311yescharacteristic
234C2×D4×D67C2311yescharacteristic
235C2×D4×D67C2311yescharacteristic, complemented
236C22×C4×D67C2311yescharacteristic
237#14524070—42no—
238C2×#11761615C2311yescharacteristic, complemented
239C2×D536C2311yescharacteristic
240C2×D536C2311yescharacteristic
241C2×D536C2311yescharacteristic, complemented
242C2×#11761613—42no—
243C2×#11761613—42no—
244C2×#11761613C2311yescharacteristic
245C2×#11761613C2311yescharacteristic
246C2×#11761613C2311yescharacteristic
247C2×#11761613C2311yescharacteristic
248C2×#11761613C2311yescharacteristic
249C2×#11761613C2311yescharacteristic
250C2×#11761613C2311yescharacteristic
251C2×#11761613C2311yescharacteristic
252C2×#11761613C2311yescharacteristic, complemented
253C2×#11761613C2311yescharacteristic, complemented
254C2×#11761613C2311yescharacteristic, complemented
255D8×D67—42no—
256D8×D67—42no—
257D8×D67—42no—
258C2×#11761611C2311yescharacteristic, complemented
259C22×C67⋊C8C2311yescharacteristic
260C22×C67⋊C8C2311yescharacteristic, complemented
261C2×C8×D67C2311yescharacteristic
262C2×C8×D67C2311yescharacteristic
263C2×C8×D67C2311yescharacteristic, complemented
264#14524040C2311yescharacteristic
265#14524039—21no—
266#14524039—21no—
267#14524039—21no—
268#14524039C2311yescharacteristic
269#14524039C2311yescharacteristic, complemented
270#14524038—21no—
271#14524036—21no—
272#14524036—21no—
273#14524036—21no—
274#14524035C2311yescharacteristic, complemented
275#14524034C2311yescharacteristic, complemented
276#14524032C2311yescharacteristic
277#14524030—21no—
278#14524029—21no—
279#14524029—21no—
280#14524028—21no—
281#14524028—21no—
282#14524028D411yescharacteristic
283#14524027—21no—
284#14524026—21no—
285#14524026—21no—
286#14524026—21no—
287#14524025—21no—
288#14524025—21no—
289#14524025—21no—
290#14524025D411yescharacteristic
291#14524024—21no—
292#14524024—21no—
293#14524024—21no—
294#14524021D411yescharacteristic
295#14524020D411yescharacteristic
296#14524019C2311yescharacteristic
297#14524018—21no—
298#14524018—21no—
299#14524018C2311yescharacteristic
300#14524018C2311yescharacteristic
301#14524018C2311yescharacteristic
302#14524017—21no—
303#14524017—21no—
304#14524017C2311yescharacteristic
305#14524017C2311yescharacteristic
306#14524017C2311yescharacteristic
307#14524017C2311yescharacteristic, complemented
308#14524016—21no—
309#14524016—21no—
310#14524016—21no—
311#14524016—21no—
312#14524016—21no—
313#14524016—21no—
314#14524016—21no—
315#14524016D411yescharacteristic
316#14524015—21no—
317#14524015—21no—
318#14524015—21no—
319#14524015—21no—
320#14524015—21no—
321#14524015—21no—
322#14524015—21no—
323#14524015—21no—
324#14524015—21no—
325#14524015D411yescharacteristic
326#14524014—21no—
327#14524014—21no—
328#14524014—21no—
329#14524014—21no—
330#14524014C2311yescharacteristic
331#14524014C2311yescharacteristic
332#14524014C2311yescharacteristic
333#14524014C2311yescharacteristic
334#14524014C2311yescharacteristic
335#14524014C2311yescharacteristic
336#14524014C2311yescharacteristic, complemented
337#14524014C2311yescharacteristic, complemented
338#14524013—21no—
339#14524013—21no—
340#14524013—21no—
341#14524013—21no—
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#14524013D411yescharacteristic
351#14524012—21no—
352#14524012—21no—
353#14524012—21no—
354#14524012—21no—
355#14524012—21no—
356#14524011—21no—
357#14524011—21no—
358#14524011—21no—
359#14524011—21no—
360#14524011—21no—
361#14524011—21no—
362#14524011—21no—
363#14524011—21no—
364#14524011—21no—
365#14524011D411yescharacteristic
366C4×D268C2311yescharacteristic
367C4×D268C2311yescharacteristic
368C4×D268C2311yescharacteristic, complemented
369D4×Dic67—21no—
370D4×Dic67C2311yescharacteristic
371D4×Dic67C2311yescharacteristic, complemented
372D4×Dic67C2311yescharacteristic, complemented
373#14524005—21no—
374#14524005C2311yescharacteristic
375C4×C22⋊D67—21no—
376C4×C22⋊D67—21no—
377C4×C22⋊D67C2311yescharacteristic
378C4×C22⋊D67C2311yescharacteristic
379(C22⋊D67)⋊C4—21no—
380(C22⋊D67)⋊C4—21no—
381(C22⋊D67)⋊C4—21no—
382(C22⋊D67)⋊C4—21no—
383#14524002C2311yescharacteristic, complemented
384#14524001C2311yescharacteristic
385#14524001C2311yescharacteristic, complemented
386#14524000C2311yescharacteristic
387C2×C4⋊Dic67C2311yescharacteristic
388C4⋊C4×D67C2311yescharacteristic
389C2×C22⋊Dic67—21no—
390C2×(C2×D67)⋊C4—21no—
391C2×(C2×D67)⋊C4—21no—
392C22⋊C4×D67—21no—
393C22⋊C4×D67—21no—
394C22⋊C4×D67—21no—
395C22⋊C4×D67—21no—
396#14523977C2311yescharacteristic, complemented
397#14523976C2311yescharacteristic, complemented
398#14523976C2311yescharacteristic, complemented
399#14523976C2311yescharacteristic, complemented
400#14523975C2311yescharacteristic, complemented
401#14523975C2311yescharacteristic, 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#14523965C2311yescharacteristic
410#14523965C2311yescharacteristic
411#14523965C2311yescharacteristic
412#14523965C2311yescharacteristic
413#14523965C2311yescharacteristic
414#14523965C2311yescharacteristic
415#14523965C2311yescharacteristic, complemented
416#14523965C2311yescharacteristic, complemented
417#14523965C2311yescharacteristic, complemented
418#14523965C2311yescharacteristic, complemented
419#14523964C2311yescharacteristic
420#14523964C2311yescharacteristic
421#14523964C2311yescharacteristic
422#14523964C2311yescharacteristic
423#14523964C2311yescharacteristic
424#14523964C2311yescharacteristic
425#14523964C2311yescharacteristic, complemented
426#14523964C2311yescharacteristic, complemented
427#14523964C2311yescharacteristic, complemented
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×D4×C67—21no—
447C22×D4×C67C2311yescharacteristic
448C22×D4×C67C2311yescharacteristic
449C22×D4×C67C2311yescharacteristic, complemented
450AGL(1,ℤ/8)×C67—42no—
451C2×SD16×C67C2311yescharacteristic, complemented
452C2×SD16×C67C2311yescharacteristic, complemented
453C2×SD16×C67C2311yescharacteristic, complemented
454C2×D8×C67—42no—
455C2×D8×C67C2311yescharacteristic
456C2×D8×C67C2311yescharacteristic
457C2×D8×C67C2311yescharacteristic
458C2×D8×C67C2311yescharacteristic
459C2×D8×C67C2311yescharacteristic
460C2×D8×C67C2311yescharacteristic
461C2×M16×C67C2311yescharacteristic, complemented
462C22×C8×C67C2311yescharacteristic
463#127×C67C2311yescharacteristic, complemented
464#124×C67C2311yescharacteristic
465#123×C67—21no—
466C22⋊Q8×C67C2311yescharacteristic
467#121×C67—21no—
468#121×C67—21no—
469#121×C67C2311yescharacteristic
470#121×C67C2311yescharacteristic
471#121×C67C2311yescharacteristic, complemented
472#120×C67—21no—
473#120×C67—21no—
474#120×C67—21no—
475C4×D4×C67C2311yescharacteristic
476C4×D4×C67C2311yescharacteristic
477C4×D4×C67C2311yescharacteristic, complemented
478C2×C22⋊C4×C67—21no—
479#106×C67C2311yescharacteristic, complemented
480C4⋊C8×C67C2311yescharacteristic, complemented
481#103×C67C2311yescharacteristic, complemented
482#102×C67C2311yescharacteristic
483#102×C67C2311yescharacteristic
484#102×C67C2311yescharacteristic, complemented
485#102×C67C2311yescharacteristic, complemented
486#102×C67C2311yescharacteristic, complemented
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—21no—
498C23×D67—21no—
499C23×D67—44no—
500C23×D67—82no—
501C23×D67—82no—
502C23×D67C2×D411yescharacteristic
503#11761629—22no—
504#11761629—41no—
505#11761629—41no—
506#11761629—41no—
507#11761628—41no—
508#11761628—41no—
509#11761628—44no—
510C2×Dic134C2×D411yescharacteristic
511C2×D268—22no—
512C2×D268—22no—
513C2×D268—21no—
514C2×D268—21no—
515C2×D268—21no—
516C2×D268—21no—
517C2×D268—21no—
518C2×D268—21no—
519C2×D268—21no—
520C2×D268—21no—
521C2×D268—21no—
522C2×D268—41no—
523C2×D268—41no—
524C2×D268—44no—
525C2×D268—82no—
526C2×D268C2×D411yescharacteristic
527C2×D268C2×D411yescharacteristic
528C2×D268C2411yescharacteristic
529C2×D268C2411yescharacteristic
530C2×D268C2411yescharacteristic
531C2×D268C2411yescharacteristic
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—21no—
544C2×C22⋊D67—21no—
545C2×C22⋊D67—21no—
546C2×C22⋊D67—21no—
547C2×C22⋊D67—21no—
548C2×C22⋊D67—21no—
549C2×C22⋊D67—21no—
550C2×C22⋊D67—21no—
551C2×C22⋊D67—21no—
552C2×C22⋊D67—21no—
553C2×C22⋊D67—21no—
554C2×C22⋊D67—21no—
555C2×C22⋊D67—44no—
556C2×C22⋊D67—82no—
557C2×C22⋊D67—82no—
558C2×C22⋊D67—82no—
559C2×C22⋊D67—82no—
560C2×C22⋊D67C2×D411yescharacteristic
561C2×C22⋊D67C2×D411yescharacteristic
562C2×C22⋊D67C2×D411yescharacteristic
563C2×C22⋊D67C2×D411yescharacteristic
564D4×D67—22no—
565D4×D67—22no—
566D4×D67—22no—
567D4×D67—22no—
568D4×D67—22no—
569D4×D67—41no—
570D4×D67—41no—
571D4×D67—41no—
572D4×D67—41no—
573D4×D67—41no—
574D4×D67—41no—
575D4×D67—41no—
576D4×D67—41no—
577D4×D67—41no—
578D4×D67—44no—
579D4×D67—44no—
580D4×D67—44no—
581D4×D67—44no—
582D4×D67—82no—
583D4×D67—82no—
584D4×D67—82no—
585D4×D67—82no—
586C22×Dic67—21no—
587C22×Dic67—21no—
588C22×Dic67—21no—
589C22×Dic67—21no—
590C22×Dic67C2×D411yescharacteristic
591C2×C4×D67—21no—
592C2×C4×D67—21no—
593C2×C4×D67—21no—
594C2×C4×D67—21no—
595C2×C4×D67—21no—
596C2×C4×D67—21no—
597C2×C4×D67—41no—
598C2×C4×D67—41no—
599C2×C4×D67C2×D411yescharacteristic
600C2×C4×D67C2×D411yescharacteristic
601C2×C4×D67C2411yescharacteristic
602C2×C4×D67C2411yescharacteristic
603C2×C4×D67C2411yescharacteristic
604#11761615—41no—
605D536—22no—
606D536—41no—
607D536—41no—
608#11761613—22no—
609#11761613—22no—
610#11761613—22no—
611#11761613—22no—
612#11761613—41no—
613#11761613—41no—
614#11761613—41no—
615#11761613—41no—
616#11761613—41no—
617#11761613—41no—
618#11761613—41no—
619#11761611—41no—
620C2×C67⋊C8—41no—
621C2×C67⋊C8—41no—
622C2×C67⋊C8C2411yescharacteristic
623C2×C67⋊C8C2411yescharacteristic
624C2×C67⋊C8C2411yescharacteristic
625C2×C67⋊C8C2411yescharacteristic
626C8×D67—41no—
627C8×D67—41no—
628C8×D67—41no—
629C4⋊Dic67—21no—
630C4⋊Dic67—21no—
631C4⋊Dic67C2×D411yescharacteristic
632C4⋊Dic67C2411yescharacteristic
633C4⋊Dic67C2411yescharacteristic
634C4⋊Dic67C2411yescharacteristic
635C4⋊Dic67C2411yescharacteristic
636Dic67⋊C4—21no—
637Dic67⋊C4—21no—
638Dic67⋊C4—21no—
639Dic67⋊C4—21no—
640Dic67⋊C4—21no—
641Dic67⋊C4C2×D411yescharacteristic
642Dic67⋊C4C2×D411yescharacteristic
643Dic67⋊C4C2×D411yescharacteristic
644Dic67⋊C4C2×D411yescharacteristic
645C22⋊Dic67—21no—
646C22⋊Dic67—21no—
647C22⋊Dic67—21no—
648C22⋊Dic67—21no—
649C22⋊Dic67—21no—
650C22⋊Dic67—21no—
651C22⋊Dic67—21no—
652C22⋊Dic67—21no—
653C22⋊Dic67—21no—
654C22⋊Dic67—21no—
655C22⋊Dic67—21no—
656C22⋊Dic67—21no—
657C22⋊Dic67C2×D411yescharacteristic
658C22⋊Dic67C2×D411yescharacteristic
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)⋊C4—21no—
668(C2×D67)⋊C4—21no—
669(C2×D67)⋊C4—21no—
670(C2×D67)⋊C4—21no—
671(C2×D67)⋊C4—21no—
672(C2×D67)⋊C4—21no—
673(C2×D67)⋊C4—21no—
674(C2×D67)⋊C4C2×D411yescharacteristic
675(C2×D67)⋊C4C2×D411yescharacteristic
676(C2×D67)⋊C4C2×D411yescharacteristic
677(C2×D67)⋊C4C2×D411yescharacteristic
678(C2×D67)⋊C4C2×D411yescharacteristic
679(C2×D67)⋊C4C2×D411yescharacteristic
680C4×Dic67—21no—
681C4×Dic67—21no—
682C4×Dic67—21no—
683C4×Dic67C2411yescharacteristic
684C24×C67—21no—
685C24×C67—21no—
686C24×C67—21no—
687#41×C67—22no—
688#41×C67—41no—
689C2×Q8×C67C2411yescharacteristic
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—21no—
698C2×D4×C67—21no—
699C2×D4×C67—21no—
700C2×D4×C67—41no—
701C2×D4×C67—41no—
702C2×D4×C67—41no—
703C2×D4×C67—41no—
704C2×D4×C67—41no—
705C2×D4×C67—82no—
706C2×D4×C67C2×D411yescharacteristic
707C2×D4×C67C2411yescharacteristic
708C2×D4×C67C2411yescharacteristic
709C2×D4×C67C2411yescharacteristic
710C2×D4×C67C2411yescharacteristic
711C2×D4×C67C2411yescharacteristic
712C22×C4×C67—21no—
713C22×C4×C67—21no—
714C22×C4×C67—21no—
715C22×C4×C67C2411yescharacteristic
716C22×C4×C67C2411yescharacteristic
717SD16×C67—41no—
718SD16×C67—41no—
719SD16×C67—41no—
720D8×C67—22no—
721D8×C67—22no—
722D8×C67—22no—
723D8×C67—41no—
724D8×C67—41no—
725D8×C67—41no—
726M16×C67—41no—
727C2×C8×C67—41no—
728C2×C8×C67C2411yescharacteristic
729C2×C8×C67C2411yescharacteristic
730C2×C8×C67C2411yescharacteristic
731C2×C8×C67C2411yescharacteristic
732C4⋊C4×C67—21no—
733C4⋊C4×C67C2×D411yescharacteristic
734C4⋊C4×C67C2411yescharacteristic
735C4⋊C4×C67C2411yescharacteristic
736C22⋊C4×C67—21no—
737C22⋊C4×C67—21no—
738C22⋊C4×C67—21no—
739C22⋊C4×C67—21no—
740C22⋊C4×C67—21no—
741C22⋊C4×C67—21no—
742C22⋊C4×C67—21no—
743C22⋊C4×C67—21no—
744C22⋊C4×C67C2×D411yescharacteristic
745C22⋊C4×C67C2×D411yescharacteristic
746C42×C67C2411yescharacteristic
747C23×C67—21no—
748C23×C67—21no—
749C23×C67—21no—
750C23×C67—21no—
751C23×C67—21no—
752C23×C67—42no—
753C23×C67—42no—
754C23×C67—42no—
755C23×C67—81no—
756C23×C67—81no—
757C23×C67—81no—
758C23×C67—81no—
759C23×C67—81no—
760C23×C67—81no—
761C23×C67C22×D411yescharacteristic
762C23×C67C22×D411yescharacteristic
763C22×D67—22no—
764C22×D67—21no—
765C22×D67—24no—
766C22×D67—22no—
767C22×D67—21no—
768C22×D67—21no—
769C22×D67—21no—
770C22×D67—41no—
771C22×D67—42no—
772C22×D67—42no—
773C22×D67—42no—
774C22×D67—42no—
775C22×D67—42no—
776C22×D67—42no—
777C22×D67—42no—
778C22×D67—42no—
779C22×D67—42no—
780C22×D67—42no—
781C22×D67—81no—
782C22×D67—81no—
783C22×D67—81no—
784C22×D67—81no—
785C22×D67—81no—
786C22×D67—81no—
787C22×D67—81no—
788C22×D67—81no—
789C22×D67—81no—
790C22×D67—81no—
791C22×D67—81no—
792C22×D67—81no—
793C22×D67—81no—
794C22×D67—81no—
795C22×D67—81no—
796C22×D67—81no—
797C22×D67—816no—
798C22×D67C22×D411yescharacteristic
799C22×D67C22×D411yescharacteristic
800C22×D67C22×D411yescharacteristic
801Q8×C67—21no—
802Q8×C67—21no—
803D4×C67—22no—
804D4×C67—21no—
805D4×C67—21no—
806D4×C67—21no—
807D4×C67—21no—
808D4×C67—21no—
809D4×C67—21no—
810D4×C67—21no—
811D4×C67—21no—
812D4×C67—21no—
813D4×C67—42no—
814D4×C67—42no—
815D4×C67—42no—
816D4×C67—81no—
817D4×C67—81no—
818D4×C67—81no—
819D4×C67—81no—
820D4×C67—81no—
821D4×C67—81no—
822D4×C67H(5,𝔽2)12yes—
823C2×C4×C67—21no—
824C2×C4×C67—21no—
825C2×C4×C67—21no—
826C2×C4×C67—21no—
827C2×C4×C67—21no—
828C2×C4×C67—21no—
829C2×C4×C67—21no—
830C2×C4×C67—42no—
831C2×C4×C67—81no—
832C2×C4×C67—81no—
833C2×C4×C67C22×D411yescharacteristic
834C2×C4×C67C22×D411yescharacteristic
835C2×C4×C67C22×D411yescharacteristic
836C2×C4×C67C22×D411yescharacteristic
837C2×C4×C67C2511yescharacteristic
838C22⋊D67—24no—
839C22⋊D67—22no—
840C22⋊D67—22no—
841C22⋊D67—41no—
842C22⋊D67—41no—
843C22⋊D67—42no—
844C22⋊D67—42no—
845C22⋊D67—42no—
846C22⋊D67—42no—
847C22⋊D67—42no—
848C22⋊D67—42no—
849C22⋊D67—42no—
850C22⋊D67—42no—
851C22⋊D67—81no—
852C22⋊D67—81no—
853C22⋊D67—81no—
854C22⋊D67—81no—
855C22⋊D67—81no—
856C22⋊D67—81no—
857C22⋊D67—81no—
858C22⋊D67—81no—
859C22⋊D67—81no—
860C22⋊D67—81no—
861C22⋊D67—81no—
862C22⋊D67—81no—
863C22⋊D67—81no—
864C22⋊D67—81no—
865C2×Dic67—21no—
866C2×Dic67—21no—
867C2×Dic67—21no—
868C2×Dic67—21no—
869C2×Dic67—41no—
870C2×Dic67—81no—
871C2×Dic67—81no—
872C2×Dic67—81no—
873C2×Dic67—81no—
874C2×Dic67C22×D411yescharacteristic
875C2×Dic67C22×D411yescharacteristic
876C2×Dic67C22×D411yescharacteristic
877C2×Dic67C22×D411yescharacteristic
878C2×Dic67C22×D411yescharacteristic
879D268—22no—
880D268—21no—
881D268—21no—
882D268—21no—
883D268—21no—
884D268—21no—
885D268—21no—
886D268—21no—
887D268—41no—
888D268—42no—
889D268—42no—
890D268—42no—
891D268—42no—
892D268—42no—
893D268—81no—
894D268—81no—
895D268—81no—
896D268—81no—
897D268H(5,𝔽2)12yes—
898C4×D67—21no—
899C4×D67—21no—
900C4×D67—21no—
901C4×D67—21no—
902C4×D67—21no—
903C4×D67—21no—
904C4×D67—41no—
905C4×D67—41no—
906C4×D67—42no—
907C4×D67—42no—
908C4×D67—81no—
909C4×D67—81no—
910C4×D67—81no—
911C4×D67—81no—
912Dic134—41no—
913C8×C67—21no—
914C8×C67—21no—
915C8×C67—21no—
916C8×C67—21no—
917C67⋊C8—21no—
918C67⋊C8—21no—
919C67⋊C8—21no—
920C67⋊C8—21no—
921C22×C67—21no—
922C22×C67—21no—
923C22×C67—22no—
924C22×C67—21no—
925C22×C67—21no—
926C22×C67—21no—
927C22×C67—41no—
928C22×C67—41no—
929C22×C67—41no—
930C22×C67—41no—
931C22×C67—41no—
932C22×C67—41no—
933C22×C67—41no—
934C22×C67—41no—
935C22×C67—41no—
936C22×C67—41no—
937C22×C67—41no—
938C22×C67—41no—
939C22×C67—41no—
940C22×C67—41no—
941C22×C67—84no—
942C22×C67—162no—
943C22×C67—162no—
944C22×C67#57612yes—
945C22×C67C23×D411yescharacteristic
946C2×D67—21no—
947C2×D67—21no—
948C2×D67—21no—
949C2×D67—21no—
950C2×D67—22no—
951C2×D67—21no—
952C2×D67—21no—
953C2×D67—21no—
954C2×D67—21no—
955C2×D67—44no—
956C2×D67—41no—
957C2×D67—41no—
958C2×D67—41no—
959C2×D67—41no—
960C2×D67—41no—
961C2×D67—41no—
962C2×D67—41no—
963C2×D67—41no—
964C2×D67—41no—
965C2×D67—41no—
966C2×D67—41no—
967C2×D67—84no—
968C2×D67—84no—
969C2×D67—84no—
970C2×D67—84no—
971C2×D67—84no—
972C2×D67—162no—
973C2×D67—162no—
974C2×D67—162no—
975C2×D67—162no—
976C2×D67#57612yes—
977C4×C67—21no—
978C4×C67—21no—
979C4×C67—21no—
980C4×C67—21no—
981C4×C67—41no—
982C4×C67—41no—
983C4×C67—41no—
984C4×C67C2×H(5,𝔽2)11yescharacteristic
985C4×C67C2×H(5,𝔽2)11yescharacteristic
986Dic67—21no—
987Dic67—21no—
988Dic67—21no—
989Dic67—21no—
990Dic67—21no—
991Dic67—41no—
992Dic67—41no—
993Dic67—41no—
994Dic67—41no—
995#61630—671nomaximal, Sylow
996C2×C67—22no—
997C2×C67—42no—
998C2×C67—41no—
999C2×C67—81no—
1000C2×C67—81no—
1001C2×C67—81no—
1002C2×C67—81no—
1003C2×C67#348411yescharacteristic
1004C2×C67C2×#57611yescharacteristic
1005C2×C67C2×#57611yescharacteristic
1006D67—22no—
1007D67—41no—
1008D67—41no—
1009D67—42no—
1010D67—81no—
1011D67—81no—
1012D67—81no—
1013#3537—671no—
1014#3484—671no—
1015#3318—671no—
1016#3318—671no—
1017#3318—671no—
1018#3318—671no—
1019#3297—671no—
1020#3297—671no—
1021#3297—671no—
1022#3297—671no—
1023D4×D8—671no—
1024D4×D8—671no—
1025D4×D8—671no—
1026D4×D8—671no—
1027#3264—671no—
1028#3264—671no—
1029#3264—671no—
1030#3264D6711yescharacteristic, complemented
1031#3220—671no—
1032#3220—671no—
1033#3199—671no—
1034#3199—671no—
1035#3188—671no—
1036#3188—671no—
1037#3122—671no—
1038#3122—671no—
1039#3008—671no—
1040#3008—671no—
1041C2×#447—671no—
1042C2×#447—671no—
1043#2977—671no—
1044C67#6163011yescharacteristic, complemented, Sylow
1045C2×H(5,𝔽2)—671no—
1046C23×D4—671no—
1047C2×AGL(1,ℤ/8)—671no—
1048C2×AGL(1,ℤ/8)C2×D6711yescharacteristic, complemented
1049C22×D8—671no—
1050C22×D8—671no—
1051C22×D8—671no—
1052C22×D8—671no—
1053C22×D8—671no—
1054C22×D8C2×D6711yescharacteristic, complemented
1055#560—1341no—
1056#560—1341no—
1057#553—671no—
1058#553—671no—
1059#553—671no—
1060#553—671no—
1061#546—671no—
1062#546—671no—
1063#546—671no—
1064#546—1341no—
1065#546—1341no—
1066#546C2×D6711yescharacteristic, complemented
1067D42—671no—
1068D42—671no—
1069D42—671no—
1070D42—671no—
1071D42—671no—
1072D42—671no—
1073D42—671no—
1074D42—1341no—
1075D42—1341no—
1076D42—1341no—
1077D42—1341no—
1078D42C2×D6711yescharacteristic, complemented
1079#540—671no—
1080#540—671no—
1081#538—1341no—
1082#538—1341no—
1083#535—671no—
1084#535—671no—
1085#535—671no—
1086#535—671no—
1087#534—1341no—
1088#534—1341no—
1089#534—1341no—
1090#534—1341no—
1091#525—671no—
1092#525—671no—
1093C2×#121—671no—
1094C2×#121—671no—
1095C2×#120—1341no—
1096C2×#120—1341no—
1097#518—671no—
1098#496—671no—
1099#496C2×D6711yescharacteristic, complemented
1100#493—671no—
1101#493—671no—
1102#490—671no—
1103#490—671no—
1104#488—671no—
1105#488—671no—
1106#484—671no—
1107#484—671no—
1108#482—671no—
1109#482—671no—
1110#482—671no—
1111#482—671no—
1112#482—671no—
1113#482—671no—
1114#482—671no—
1115#482—671no—
1116#481—671no—
1117#481—671no—
1118#478—671no—
1119#478—671no—
1120#478—671no—
1121#478—671no—
1122#469—671no—
1123#469—671no—
1124#469—671no—
1125#469C2×D6711yescharacteristic, complemented
1126#466—671no—
1127#466—671no—
1128#466—671no—
1129#466—671no—
1130#466—671no—
1131#466—671no—
1132#466—671no—
1133#466—671no—
1134#465—671no—
1135#465—671no—
1136#465—671no—
1137#465C2×D6711yescharacteristic, complemented
1138#463—671no—
1139#463—671no—
1140#463—671no—
1141#463C2×D6711yescharacteristic, complemented
1142#459—671no—
1143#459—671no—
1144#459—671no—
1145#459—671no—
1146#459—671no—
1147#459—671no—
1148#459—671no—
1149#459C2×D6711yescharacteristic, complemented
1150#450—671no—
1151#450C2×D6711yescharacteristic, complemented
1152#449—671no—
1153#449—671no—
1154#449—671no—
1155#449—671no—
1156#449—671no—
1157#449—671no—
1158#449—671no—
1159#449C2×D6711yescharacteristic, complemented
1160#447—671no—
1161#447—671no—
1162#447—671no—
1163#447—671no—
1164#447—671no—
1165#447—671no—
1166#447—671no—
1167#447—671no—
1168#447—671no—
1169#447—671no—
1170#447—671no—
1171#447—671no—
1172#447—671no—
1173#447—671no—
1174#447—671no—
1175#447—671no—
1176#447—671no—
1177#447—671no—
1178#447—671no—
1179#447—671no—
1180#447—671no—
1181#447—671no—
1182#447—671no—
1183#447—671no—
1184#447C2×D6711yescharacteristic, complemented
1185#447C2×D6711yescharacteristic, complemented
1186#442—671no—
1187#442—671no—
1188#442—671no—
1189#442C2×D6711yescharacteristic, complemented
1190C4×D8—671no—
1191C4×D8—671no—
1192C4×D8—671no—
1193C4×D8—671no—
1194#435—671no—
1195#435—671no—
1196#435—671no—
1197#435C2×D6711yescharacteristic, complemented
1198C8×D4—671no—
1199C8×D4—671no—
1200C8×D4—671no—
1201C8×D4—671no—
1202#433—671no—
1203#433—671no—
1204#418—671no—
1205#418—671no—
1206#416—671no—
1207#416—671no—
1208C2×#102—671no—
1209C2×#102—671no—
1210C2×#102—671no—
1211C2×#102—671no—
1212#408—671no—
1213#408—671no—
1214C2×C22⋊C8—671no—
1215C2×C22⋊C8—671no—
1216C25—1341no—
1217H(5,𝔽2)—2682no—
1218H(5,𝔽2)—2682no—
1219C2×#41—671no—
1220C2×#41—671no—
1221C2×#41—671no—
1222C2×#41—1341no—
1223C2×#41C22×D6711yescharacteristic
1224C22×D4—21no—
1225C22×D4—2682no—
1226C22×D4—2682no—
1227C22×D4—671no—
1228C22×D4—671no—
1229C22×D4—671no—
1230C22×D4—671no—
1231C22×D4—671no—
1232C22×D4—671no—
1233C22×D4—671no—
1234C22×D4—671no—
1235C22×D4—671no—
1236C22×D4—1341no—
1237C22×D4—1341no—
1238C22×D4—1341no—
1239C22×D4—1341no—
1240C22×D4—1341no—
1241C22×D4—1341no—
1242C22×D4—1341no—
1243C22×D4—1341no—
1244C22×D4—1341no—
1245C22×D4—1341no—
1246C22×D4—1341no—
1247C22×D4—1341no—
1248C22×D4—1341no—
1249C22×D4—1341no—
1250C22×D4—1341no—
1251C22×D4C22×D6711yescharacteristic
1252C22×D4C22×D6711yescharacteristic
1253C22×D4C22×D6711yescharacteristic, complemented
1254C23×C4—671no—
1255AGL(1,ℤ/8)—42no—
1256AGL(1,ℤ/8)—2682no—
1257C2×SD16—671no—
1258C2×SD16C22×D6711yescharacteristic, complemented
1259C2×SD16C22×D6711yescharacteristic, complemented
1260C2×SD16C22×D6711yescharacteristic, complemented
1261C2×D8—42no—
1262C2×D8—2682no—
1263C2×D8—2682no—
1264C2×D8—2682no—
1265C2×D8—2682no—
1266C2×D8—2682no—
1267C2×D8—671no—
1268C2×D8—671no—
1269C2×D8—671no—
1270C2×D8—671no—
1271C2×D8—671no—
1272C2×D8—671no—
1273C2×D8—671no—
1274C2×D8—671no—
1275C2×D8—671no—
1276C2×D8—671no—
1277C2×D8—671no—
1278C2×D8—671no—
1279C2×D8—671no—
1280C2×D8—671no—
1281C2×D8C22×D6711yescharacteristic
1282C2×D8C22×D6711yescharacteristic
1283C2×D8C22×D6711yescharacteristic
1284C2×D8C22×D6711yescharacteristic
1285C2×D8C22×D6711yescharacteristic
1286C2×D8C22×D6711yescharacteristic
1287C2×M16—671no—
1288C2×M16C22×D6711yescharacteristic, complemented
1289C22×C8—671no—
1290C22×C8—671no—
1291C22×C8—671no—
1292C22×C8—671no—
1293C22×C8—671no—
1294C22×C8C22×D6711yescharacteristic
1295#127—671no—
1296#127—671no—
1297#127—671no—
1298#127—1341no—
1299#127—1341no—
1300#127—1341no—
1301#127C22×D6711yescharacteristic, complemented
1302#126—1341no—
1303#126—1341no—
1304#126—1341no—
1305#126—1341no—
1306#125—671no—
1307#125—671no—
1308#124—671no—
1309#124—1341no—
1310#124—1341no—
1311#124—1341no—
1312#124C22×D6711yescharacteristic
1313#123—21no—
1314#123—671no—
1315#123—671no—
1316#123—1341no—
1317#123—1341no—
1318#123—1341no—
1319#123—1341no—
1320#123—1341no—
1321#123—1341no—
1322#123—1341no—
1323#123—1341no—
1324#123—1341no—
1325#123—1341no—
1326#123—1341no—
1327#123—1341no—
1328C22⋊Q8—671no—
1329C22⋊Q8—671no—
1330C22⋊Q8—671no—
1331C22⋊Q8C22×D6711yescharacteristic
1332#121—21no—
1333#121—21no—
1334#121—671no—
1335#121—671no—
1336#121—671no—
1337#121—671no—
1338#121—671no—
1339#121—671no—
1340#121—671no—
1341#121—671no—
1342#121—671no—
1343#121—671no—
1344#121—671no—
1345#121—671no—
1346#121—671no—
1347#121—671no—
1348#121—671no—
1349#121—671no—
1350#121—671no—
1351#121—1341no—
1352#121—1341no—
1353#121—1341no—
1354#121—1341no—
1355#121—1341no—
1356#121—1341no—
1357#121—1341no—
1358#121—1341no—
1359#121—1341no—
1360#121—1341no—
1361#121—1341no—
1362#121—1341no—
1363#121—1341no—
1364#121—1341no—
1365#121—1341no—
1366#121—1341no—
1367#121—1341no—
1368#121—1341no—
1369#121—1341no—
1370#121—1341no—
1371#121—1341no—
1372#121—1341no—
1373#121—1341no—
1374#121—1341no—
1375#121C22×D6711yescharacteristic
1376#121C22×D6711yescharacteristic
1377#121C22×D6711yescharacteristic, complemented
1378#120—21no—
1379#120—21no—
1380#120—21no—
1381#120—671no—
1382#120—671no—
1383#120—1341no—
1384#120—1341no—
1385#120—1341no—
1386#120—1341no—
1387#120—1341no—
1388#120—1341no—
1389#120—1341no—
1390#120—1341no—
1391#120—1341no—
1392#120—1341no—
1393#120—1341no—
1394#120—1341no—
1395#120—1341no—
1396#120—1341no—
1397#120—1341no—
1398#120—1341no—
1399#120—1341no—
1400#120—1341no—
1401#120—1341no—
1402#120—1341no—
1403#120—1341no—
1404#120—1341no—
1405#120—1341no—
1406#120—1341no—
1407#120—1341no—
1408#120—1341no—
1409C4×D4—671no—
1410C4×D4—671no—
1411C4×D4—671no—
1412C4×D4—671no—
1413C4×D4—671no—
1414C4×D4—671no—
1415C4×D4—671no—
1416C4×D4—671no—
1417C4×D4—671no—
1418C4×D4—1341no—
1419C4×D4—1341no—
1420C4×D4—1341no—
1421C4×D4—1341no—
1422C4×D4—1341no—
1423C4×D4—1341no—
1424C4×D4—1341no—
1425C4×D4—1341no—
1426C4×D4C22×D6711yescharacteristic
1427C4×D4C22×D6711yescharacteristic
1428C4×D4C22×D6711yescharacteristic, complemented
1429#117—671no—
1430#117—671no—
1431#117—671no—
1432#117—671no—
1433C2×C4⋊C4—671no—
1434C2×C4⋊C4—671no—
1435C2×C22⋊C4—21no—
1436C2×C22⋊C4—1341no—
1437C2×C22⋊C4—1341no—
1438C2×C22⋊C4—1341no—
1439C2×C22⋊C4—1341no—
1440C2×C22⋊C4—1341no—
1441C2×C22⋊C4—1341no—
1442C2×C22⋊C4—1341no—
1443#107—671no—
1444#107—671no—
1445#107—671no—
1446#107—671no—
1447#106—671no—
1448#106—671no—
1449#106—671no—
1450#106C22×D6711yescharacteristic, complemented
1451C4⋊C8—671no—
1452C4⋊C8—671no—
1453C4⋊C8—671no—
1454C4⋊C8C22×D6711yescharacteristic, complemented
1455#103—671no—
1456#103—671no—
1457#103—671no—
1458#103C22×D6711yescharacteristic, complemented
1459#102—671no—
1460#102—671no—
1461#102—671no—
1462#102—671no—
1463#102—671no—
1464#102—671no—
1465#102—671no—
1466#102—671no—
1467#102—671no—
1468#102—671no—
1469#102—671no—
1470#102—671no—
1471#102—671no—
1472#102—671no—
1473#102—671no—
1474#102—671no—
1475#102—671no—
1476#102—671no—
1477#102—671no—
1478#102—671no—
1479#102—671no—
1480#102—671no—
1481#102—671no—
1482#102C22×D6711yescharacteristic
1483#102C22×D6711yescharacteristic
1484#102C22×D6711yescharacteristic, complemented
1485#102C22×D6711yescharacteristic, complemented
1486#102C22×D6711yescharacteristic, complemented
1487C22⋊C8—671no—
1488C22⋊C8—671no—
1489C22⋊C8—671no—
1490C22⋊C8—671no—
1491C22⋊C8—671no—
1492C22⋊C8—671no—
1493C22⋊C8—671no—
1494C22⋊C8—671no—
1495C22⋊C8—671no—
1496C22⋊C8—671no—
1497C22⋊C8C22×D6711yescharacteristic
1498C22⋊C8C22×D6711yescharacteristic, complemented
1499#97—671no—
1500#97C22×D6711yescharacteristic, complemented
1501C4×C8—671no—
1502C4×C8—671no—
1503C24—21no—
1504C24—21no—
1505C24—21no—
1506C24—2684no—
1507C24—5362no—
1508C24—5362no—
1509C24—671no—
1510C24—1341no—
1511C24—1341no—
1512C24—1341no—
1513C24—1341no—
1514C24—1341no—
1515C24—1341no—
1516C24—1341no—
1517C24—1341no—
1518C24—1341no—
1519#41—22no—
1520#41—41no—
1521#41—2681no—
1522#41—2681no—
1523#41—2684no—
1524#41—2681no—
1525#41—2681no—
1526#41—2681no—
1527#41—1342no—
1528C2×Q8—671no—
1529C2×Q8C23×D6711yescharacteristic
1530C2×D4—22no—
1531C2×D4—21no—
1532C2×D4—21no—
1533C2×D4—21no—
1534C2×D4—21no—
1535C2×D4—21no—
1536C2×D4—21no—
1537C2×D4—21no—
1538C2×D4—21no—
1539C2×D4—21no—
1540C2×D4—41no—
1541C2×D4—41no—
1542C2×D4—41no—
1543C2×D4—41no—
1544C2×D4—41no—
1545C2×D4—82no—
1546C2×D4—2681no—
1547C2×D4—2681no—
1548C2×D4—2684no—
1549C2×D4—2684no—
1550C2×D4—2684no—
1551C2×D4—2684no—
1552C2×D4—2684no—
1553C2×D4—2684no—
1554C2×D4—2681no—
1555C2×D4—2681no—
1556C2×D4—2681no—
1557C2×D4—2681no—
1558C2×D4—2681no—
1559C2×D4—2681no—
1560C2×D4—2681no—
1561C2×D4—2681no—
1562C2×D4—2681no—
1563C2×D4—5362no—
1564C2×D4—5362no—
1565C2×D4—5362no—
1566C2×D4—5362no—
1567C2×D4—5362no—
1568C2×D4—5362no—
1569C2×D4—5362no—
1570C2×D4—5362no—
1571C2×D4—5362no—
1572C2×D4—671no—
1573C2×D4—671no—
1574C2×D4—671no—
1575C2×D4—671no—
1576C2×D4—671no—
1577C2×D4—671no—
1578C2×D4—671no—
1579C2×D4—671no—
1580C2×D4—671no—
1581C2×D4—671no—
1582C2×D4—1341no—
1583C2×D4—1341no—
1584C2×D4—1341no—
1585C2×D4—1342no—
1586C2×D4—1342no—
1587C2×D4—1341no—
1588C2×D4—1341no—
1589C2×D4—1341no—
1590C2×D4—1341no—
1591C2×D4—1341no—
1592C2×D4—1341no—
1593C2×D4—1341no—
1594C2×D4—1341no—
1595C2×D4—1341no—
1596C2×D4—1341no—
1597C2×D4—1341no—
1598C2×D4—1341no—
1599C2×D4—1341no—
1600C2×D4—1342no—
1601C2×D4—1342no—
1602C2×D4—1341no—
1603C2×D4—1341no—
1604C2×D4—1341no—
1605C2×D4—1341no—
1606C2×D4—1342no—
1607C2×D4—1342no—
1608C2×D4—1341no—
1609C2×D4—1341no—
1610C2×D4—1341no—
1611C2×D4—1341no—
1612C2×D4—1341no—
1613C2×D4—1341no—
1614C2×D4—1341no—
1615C2×D4—1341no—
1616C2×D4—1342no—
1617C2×D4—1341no—
1618C2×D4—1341no—
1619C2×D4—1341no—
1620C2×D4—1341no—
1621C2×D4D4×D6711yescharacteristic
1622C2×D4C23×D6711yescharacteristic
1623C2×D4C23×D6711yescharacteristic
1624C2×D4C23×D6711yescharacteristic
1625C2×D4C23×D6711yescharacteristic
1626C2×D4C23×D6711yescharacteristic
1627C22×C4—21no—
1628C22×C4—21no—
1629C22×C4—21no—
1630C22×C4—2681no—
1631C22×C4—2681no—
1632C22×C4—671no—
1633C22×C4—671no—
1634C22×C4—671no—
1635C22×C4—671no—
1636C22×C4—671no—
1637C22×C4—671no—
1638C22×C4—1341no—
1639C22×C4—1341no—
1640C22×C4—1341no—
1641C22×C4—1341no—
1642C22×C4—1341no—
1643C22×C4—1341no—
1644C22×C4—1341no—
1645C22×C4—1341no—
1646C22×C4—1341no—
1647C22×C4—1341no—
1648C22×C4C23×D6711yescharacteristic
1649C22×C4C23×D6711yescharacteristic
1650SD16—41no—
1651SD16—41no—
1652SD16—41no—
1653SD16—2681no—
1654D8—22no—
1655D8—22no—
1656D8—22no—
1657D8—41no—
1658D8—41no—
1659D8—41no—
1660D8—2681no—
1661D8—2681no—
1662D8—2681no—
1663D8—2681no—
1664D8—2681no—
1665D8—2681no—
1666D8—2681no—
1667D8—2681no—
1668D8—2681no—
1669D8—1342no—
1670D8—1342no—
1671D8—1342no—
1672D8—1342no—
1673D8—1342no—
1674M16—41no—
1675M16—2681no—
1676C2×C8—41no—
1677C2×C8—2681no—
1678C2×C8—2681no—
1679C2×C8—2681no—
1680C2×C8—2681no—
1681C2×C8—2681no—
1682C2×C8—671no—
1683C2×C8—671no—
1684C2×C8—671no—
1685C2×C8—671no—
1686C2×C8C23×D6711yescharacteristic
1687C2×C8C23×D6711yescharacteristic
1688C2×C8C23×D6711yescharacteristic
1689C2×C8C23×D6711yescharacteristic
1690C4⋊C4—21no—
1691C4⋊C4—671no—
1692C4⋊C4—671no—
1693C4⋊C4—671no—
1694C4⋊C4—671no—
1695C4⋊C4—671no—
1696C4⋊C4—671no—
1697C4⋊C4—671no—
1698C4⋊C4—671no—
1699C4⋊C4—671no—
1700C4⋊C4—1341no—
1701C4⋊C4—1341no—
1702C4⋊C4—1341no—
1703C4⋊C4—1341no—
1704C4⋊C4—1341no—
1705C4⋊C4—1341no—
1706C4⋊C4—1341no—
1707C4⋊C4D4×D6711yescharacteristic
1708C4⋊C4C23×D6711yescharacteristic
1709C4⋊C4C23×D6711yescharacteristic
1710C22⋊C4—21no—
1711C22⋊C4—21no—
1712C22⋊C4—21no—
1713C22⋊C4—21no—
1714C22⋊C4—21no—
1715C22⋊C4—21no—
1716C22⋊C4—21no—
1717C22⋊C4—21no—
1718C22⋊C4—671no—
1719C22⋊C4—671no—
1720C22⋊C4—671no—
1721C22⋊C4—671no—
1722C22⋊C4—671no—
1723C22⋊C4—671no—
1724C22⋊C4—671no—
1725C22⋊C4—671no—
1726C22⋊C4—1341no—
1727C22⋊C4—1341no—
1728C22⋊C4—1341no—
1729C22⋊C4—1341no—
1730C22⋊C4—1341no—
1731C22⋊C4—1341no—
1732C22⋊C4—1341no—
1733C22⋊C4—1341no—
1734C22⋊C4—1341no—
1735C22⋊C4—1341no—
1736C22⋊C4—1341no—
1737C22⋊C4—1341no—
1738C22⋊C4—1341no—
1739C22⋊C4—1341no—
1740C22⋊C4—1341no—
1741C22⋊C4—1341no—
1742C22⋊C4—1341no—
1743C22⋊C4—1341no—
1744C22⋊C4—1341no—
1745C22⋊C4—1341no—
1746C22⋊C4—1341no—
1747C22⋊C4—1341no—
1748C22⋊C4—1341no—
1749C22⋊C4—1341no—
1750C22⋊C4—1341no—
1751C22⋊C4—1341no—
1752C22⋊C4—1341no—
1753C22⋊C4D4×D6711yescharacteristic
1754C22⋊C4D4×D6711yescharacteristic
1755C42—671no—
1756C42—1341no—
1757C42—1341no—
1758C42—1341no—
1759C42C23×D6711yescharacteristic
1760C23—21no—
1761C23—21no—
1762C23—21no—
1763C23—21no—
1764C23—21no—
1765C23—42no—
1766C23—42no—
1767C23—42no—
1768C23—81no—
1769C23—81no—
1770C23—81no—
1771C23—81no—
1772C23—81no—
1773C23—81no—
1774C23—2681no—
1775C23—2682no—
1776C23—2682no—
1777C23—2682no—
1778C23—2682no—
1779C23—2682no—
1780C23—2682no—
1781C23—2682no—
1782C23—2682no—
1783C23—2682no—
1784C23—2682no—
1785C23—5361no—
1786C23—5361no—
1787C23—5361no—
1788C23—5361no—
1789C23—5361no—
1790C23—5361no—
1791C23—5361no—
1792C23—5361no—
1793C23—5361no—
1794C23—5361no—
1795C23—5361no—
1796C23—5361no—
1797C23—5361no—
1798C23—5361no—
1799C23—5361no—
1800C23—5361no—
1801C23—53616no—
1802C23—671no—
1803C23—671no—
1804C23—671no—
1805C23—1342no—
1806C23—1344no—
1807C23—1341no—
1808C23—1341no—
1809C23—1341no—
1810C23—1342no—
1811C23—1341no—
1812C23C2×D4×D6711yescharacteristic
1813C23C2×D4×D6711yescharacteristic
1814Q8—21no—
1815Q8—21no—
1816Q8—2681no—
1817D4—22no—
1818D4—21no—
1819D4—21no—
1820D4—21no—
1821D4—21no—
1822D4—21no—
1823D4—21no—
1824D4—21no—
1825D4—21no—
1826D4—21no—
1827D4—42no—
1828D4—42no—
1829D4—42no—
1830D4—81no—
1831D4—81no—
1832D4—81no—
1833D4—81no—
1834D4—81no—
1835D4—81no—
1836D4—2682no—
1837D4—2682no—
1838D4—2681no—
1839D4—2682no—
1840D4—2682no—
1841D4—2682no—
1842D4—2682no—
1843D4—2682no—
1844D4—2682no—
1845D4—2682no—
1846D4—2682no—
1847D4—2682no—
1848D4—2681no—
1849D4—2681no—
1850D4—2682no—
1851D4—2682no—
1852D4—5361no—
1853D4—5361no—
1854D4—5361no—
1855D4—5361no—
1856D4—5361no—
1857D4—5361no—
1858D4—5361no—
1859D4—5361no—
1860D4—5361no—
1861D4—5361no—
1862D4—5361no—
1863D4—5361no—
1864D4—5361no—
1865D4—5361no—
1866D4—5361no—
1867D4—5361no—
1868D4—5361no—
1869D4—5361no—
1870D4—672no—
1871D4—1342no—
1872D4—1342no—
1873D4—1344no—
1874D4—1342no—
1875D4—1341no—
1876D4—1341no—
1877D4—1341no—
1878D4—1341no—
1879D4—1341no—
1880D4—1341no—
1881D4—1341no—
1882D4#1452408812yes—
1883C2×C4—21no—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—21no—
1887C2×C4—21no—
1888C2×C4—21no—
1889C2×C4—21no—
1890C2×C4—42no—
1891C2×C4—81no—
1892C2×C4—81no—
1893C2×C4—2681no—
1894C2×C4—2681no—
1895C2×C4—2682no—
1896C2×C4—2682no—
1897C2×C4—2681no—
1898C2×C4—5361no—
1899C2×C4—5361no—
1900C2×C4—5361no—
1901C2×C4—5361no—
1902C2×C4—5361no—
1903C2×C4—5361no—
1904C2×C4—5361no—
1905C2×C4—5361no—
1906C2×C4—671no—
1907C2×C4—671no—
1908C2×C4—671no—
1909C2×C4—671no—
1910C2×C4—671no—
1911C2×C4—1341no—
1912C2×C4—1341no—
1913C2×C4—1341no—
1914C2×C4—1341no—
1915C2×C4—1341no—
1916C2×C4—1341no—
1917C2×C4—1341no—
1918C2×C4—1341no—
1919C2×C4—1341no—
1920C2×C4—1341no—
1921C2×C4C2×D4×D6711yescharacteristic
1922C2×C4C2×D4×D6711yescharacteristic
1923C2×C4C2×D4×D6711yescharacteristic
1924C2×C4C2×D4×D6711yescharacteristic
1925C2×C4C24×D6711yescharacteristic
1926C8—21no—
1927C8—21no—
1928C8—21no—
1929C8—21no—
1930C8—1341no—
1931C8—1341no—
1932C8—1341no—
1933C8—1341no—
1934C22—21no—
1935C22—21no—
1936C22—21no—
1937C22—22no—
1938C22—21no—
1939C22—21no—
1940C22—41no—
1941C22—41no—
1942C22—41no—
1943C22—41no—
1944C22—41no—
1945C22—41no—
1946C22—41no—
1947C22—41no—
1948C22—41no—
1949C22—41no—
1950C22—41no—
1951C22—41no—
1952C22—41no—
1953C22—41no—
1954C22—84no—
1955C22—2684no—
1956C22—2681no—
1957C22—2681no—
1958C22—2681no—
1959C22—2681no—
1960C22—2681no—
1961C22—2681no—
1962C22—2681no—
1963C22—2681no—
1964C22—2681no—
1965C22—2681no—
1966C22—2681no—
1967C22—162no—
1968C22—162no—
1969C22—5364no—
1970C22—5364no—
1971C22—5364no—
1972C22—5364no—
1973C22—5364no—
1974C22—10722no—
1975C22—10722no—
1976C22—10722no—
1977C22—10722no—
1978C22—672no—
1979C22—1341no—
1980C22—1342no—
1981C22—1341no—
1982C22—1341no—
1983C22—1341no—
1984C22—1341no—
1985C22—1341no—
1986C22—1341no—
1987C22—1341no—
1988C22#1686420012yes—
1989C22C22×D4×D6711yescharacteristic
1990C4—21no—
1991C4—21no—
1992C4—21no—
1993C4—21no—
1994C4—41no—
1995C4—41no—
1996C4—41no—
1997C4—2681no—
1998C4—2681no—
1999C4—2681no—
2000C4—2681no—
2001C4—1341no—
2002C4—1341no—
2003C4—1341no—
2004C4—1341no—
2005C4—1341no—
2006C4H(5,𝔽2)×D6711yescharacteristic
2007C4C2×#1452408811yescharacteristic
2008C2—22no—
2009C2—41no—
2010C2—42no—
2011C2—81no—
2012C2—81no—
2013C2—81no—
2014C2—81no—
2015C2—2681no—
2016C2—2682no—
2017C2—2681no—
2018C2—5361no—
2019C2—5361no—
2020C2—5361no—
2021C2—1342no—
2022C2#2257383711yescharacteristic
2023C2#576×D6711yescharacteristic
2024C2C2×#1686420011yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3264C2
socleC22×C67C23×D4
hypercenter#3264D67
hypocenterC67#61630
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. #22574440C2semidirect
2. #22573839C2semidirect
3. #22572355C2semidirect
4. #22572354C2semidirect
5. #22572352C2semidirect
6. #22572345C2semidirect
7. #22572066C2semidirect
8. #22572065C2semidirect
9. #22572059C2semidirect
10. #22572052C2semidirect
11. D4×#11761613C2semidirect
12. #22571881C2semidirect
13. D8×C22⋊D67C2semidirect
14. #22571879C2semidirect
15. #22571693C2semidirect
16. #22571688C2semidirect
17. #22571683C2semidirect
18. #22571256C2semidirect
19. #22571254C2semidirect
20. #22571072C2semidirect
21. #22571071C2semidirect
22. #22570977C2semidirect
23. #22570975C2semidirect
24. #22570451C2semidirect
25. #22570450C2semidirect
26. #22569476C2semidirect
27. #22569474C2semidirect
28. C2×#16863528C2semidirect
29. #447×D67C2semidirect
30. #22569260C2semidirect
31. C67×#3264C2semidirect
32. C2×#14524089C22semidirect
33. C22×D4×D67C22semidirect
34. C2×#14524070C22semidirect
35. C22×#11761613C22semidirect
36. C22×#11761613C22semidirect
37. C2×D8×D67C22semidirect
38. C2×D8×D67C22semidirect
39. C2×D8×D67C22semidirect
42. #16864098C22semidirect
43. #16864096C22semidirect
44. #16864093C22semidirect
45. #16864092C22semidirect
46. #16864039C22semidirect
48. #16864037C22semidirect
50. #16864034C22semidirect
51. D4×D268C22semidirect
52. D4×D268C22semidirect
53. #16864031C22semidirect
55. #16864030C22semidirect
57. D4×C22⋊D67C22semidirect
58. D4×C22⋊D67C22semidirect
59. D4×C22⋊D67C22semidirect
62. #16864000C22semidirect
63. #16863997C22semidirect
66. #16863964C22semidirect
67. #16863963C22semidirect
68. #16863962C22semidirect
69. #16863962C22semidirect
74. #16863909C22semidirect
76. C2×#14524014C22semidirect
77. #121×D67C22semidirect
80. #16863868C22semidirect
81. #16863782C22semidirect
82. #16863772C22semidirect
83. #16863771C22semidirect
84. #16863761C22semidirect
85. #16863759C22semidirect
86. #16863752C22semidirect
87. #16863750C22semidirect
88. #16863730C22semidirect
89. #16863729C22semidirect
90. #16863722C22semidirect
91. #16863722C22semidirect
92. #16863721C22semidirect
93. #16863719C22semidirect
94. #16863719C22semidirect
95. #16863719C22semidirect
96. #16863718C22semidirect
97. #16863717C22semidirect
98. #16863716C22semidirect
99. #16863715C22semidirect
100. #16863698C22semidirect
101. #16863697C22semidirect
102. #16863696C22semidirect
103. #16863695C22semidirect
104. #16863649C22semidirect
105. #16863648C22semidirect
106. #16863646C22semidirect
107. #16863632C22semidirect
108. #16863631C22semidirect
109. #16863631C22semidirect
110. #16863631C22semidirect
111. #16863630C22semidirect
112. #16863630C22semidirect
113. #16863630C22semidirect
114. #16863629C22semidirect
115. #16863627C22semidirect
116. #16863622C22semidirect
117. #16863622C22semidirect
118. #16863613C22semidirect
119. #16863613C22semidirect
120. #16863608C22semidirect
121. #16863592C22semidirect
122. #16863591C22semidirect
123. #16863590C22semidirect
124. #16863589C22semidirect
125. #16863589C22semidirect
126. #16863589C22semidirect
127. #16863588C22semidirect
128. #16863545C22semidirect
129. #16863544C22semidirect
130. #16863541C22semidirect
131. #16863540C22semidirect
132. #16863540C22semidirect
133. #16863540C22semidirect
134. #16863540C22semidirect
135. #16863540C22semidirect
136. #16863532C22semidirect
137. #16863532C22semidirect
138. #16863531C22semidirect
139. #16863531C22semidirect
140. #16863531C22semidirect
141. #16863531C22semidirect
142. #16863530C22semidirect
143. #16863530C22semidirect
144. #16863530C22semidirect
145. #16863529C22semidirect
146. #16863529C22semidirect
147. #16863528C22semidirect
148. #16863528C22semidirect
149. #16863528C22semidirect
150. #16863528C22semidirect
151. #16863528C22semidirect
152. #16863528C22semidirect
153. #16863528C22semidirect
154. #16863528C22semidirect
155. #16863528C22semidirect
156. #16863528C22semidirect
157. #16863528C22semidirect
158. #16863528C22semidirect
159. #16863528C22semidirect
160. #16863509C22semidirect
161. #16863508C22semidirect
162. #16863505C22semidirect
163. D8×Dic67C22semidirect
164. C4×#11761613C22semidirect
165. C4×#11761613C22semidirect
166. #16863476C22semidirect
167. #16863469C22semidirect
168. #16863465C22semidirect
169. #16863464C22semidirect
170. D4×C67⋊C8C22semidirect
171. #16863461C22semidirect
172. C8×C22⋊D67C22semidirect
173. (C22⋊D67)⋊C8C22semidirect
174. #16863458C22semidirect
175. #16863456C22semidirect
176. #16863402C22semidirect
177. #16863399C22semidirect
178. #16863392C22semidirect
179. #16863391C22semidirect
180. C2×#14523965C22semidirect
181. C2×#14523964C22semidirect
182. #102×D67C22semidirect
183. #102×D67C22semidirect
184. #16863364C22semidirect
185. #16863361C22semidirect
186. C2×(C2×D67)⋊C8C22semidirect
187. C22⋊C8×D67C22semidirect
188. C2×AGL(1,ℤ/8)×C67C22semidirect
189. C22×D8×C67C22semidirect
190. #546×C67C22semidirect
191. D42×C67C22semidirect
192. #496×C67C22semidirect
193. #469×C67C22semidirect
194. #465×C67C22semidirect
195. #463×C67C22semidirect
196. #459×C67C22semidirect
197. #450×C67C22semidirect
198. #449×C67C22semidirect
199. #447×C67C22semidirect
200. #447×C67C22semidirect
201. #442×C67C22semidirect
202. #435×C67C22semidirect
235. C2×D4×D67C23semidirect
238. C2×#11761615C23semidirect
241. C2×D536C23semidirect
252. C2×#11761613C23semidirect
253. C2×#11761613C23semidirect
254. C2×#11761613C23semidirect
258. C2×#11761611C23semidirect
260. C22×C67⋊C8C23semidirect
263. C2×C8×D67C23semidirect
269. #14524039C23semidirect
274. #14524035C23semidirect
275. #14524034C23semidirect
307. #14524017C23semidirect
336. #14524014C23semidirect
337. #14524014C23semidirect
368. C4×D268C23semidirect
371. D4×Dic67C23semidirect
372. D4×Dic67C23semidirect
383. #14524002C23semidirect
385. #14524001C23semidirect
396. #14523977C23semidirect
397. #14523976C23semidirect
398. #14523976C23semidirect
399. #14523976C23semidirect
400. #14523975C23semidirect
401. #14523975C23semidirect
402. #14523974C23semidirect
403. C4⋊(C67⋊C8)C23semidirect
404. Dic67⋊C8C23semidirect
405. Dic67⋊C8C23semidirect
406. #14523967C23semidirect
407. #14523967C23semidirect
408. #14523967C23semidirect
415. #14523965C23semidirect
416. #14523965C23semidirect
417. #14523965C23semidirect
418. #14523965C23semidirect
425. #14523964C23semidirect
426. #14523964C23semidirect
427. #14523964C23semidirect
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
449. C22×D4×C67C23semidirect
451. C2×SD16×C67C23semidirect
452. C2×SD16×C67C23semidirect
453. C2×SD16×C67C23semidirect
461. C2×M16×C67C23semidirect
463. #127×C67C23semidirect
471. #121×C67C23semidirect
477. C4×D4×C67C23semidirect
479. #106×C67C23semidirect
480. C4⋊C8×C67C23semidirect
481. #103×C67C23semidirect
484. #102×C67C23semidirect
485. #102×C67C23semidirect
486. #102×C67C23semidirect
488. C22⋊C8×C67C23semidirect
489. #97×C67C23semidirect
1030. #3264D67semidirect
1044. C67#61630semidirect
1048. C2×AGL(1,ℤ/8)C2×D67semidirect
1054. C22×D8C2×D67semidirect
1066. #546C2×D67semidirect
1078. D42C2×D67semidirect
1099. #496C2×D67semidirect
1125. #469C2×D67semidirect
1137. #465C2×D67semidirect
1141. #463C2×D67semidirect
1149. #459C2×D67semidirect
1151. #450C2×D67semidirect
1159. #449C2×D67semidirect
1184. #447C2×D67semidirect
1185. #447C2×D67semidirect
1189. #442C2×D67semidirect
1197. #435C2×D67semidirect
1253. C22×D4C22×D67semidirect
1258. C2×SD16C22×D67semidirect
1259. C2×SD16C22×D67semidirect
1260. C2×SD16C22×D67semidirect
1288. C2×M16C22×D67semidirect
1301. #127C22×D67semidirect
1377. #121C22×D67semidirect
1428. C4×D4C22×D67semidirect
1450. #106C22×D67semidirect
1454. C4⋊C8C22×D67semidirect
1458. #103C22×D67semidirect
1484. #102C22×D67semidirect
1485. #102C22×D67semidirect
1486. #102C22×D67semidirect
1498. C22⋊C8C22×D67semidirect
1500. #97C22×D67semidirect

Maximal subgroups

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

subgroupindex
#225744402
#225738392
#225723552
#225723542
#225723522
#225723452
#225720662
#225720652
#225720592
#225720522
D4×#117616132
#225718812
D8×C22⋊D672
#225718792
#225716932
#225716882
#225716832
#225712562
#225712542
#225710722
#225710712
#225709772
#225709752
#225704512
#225704502
#225694762
#225694742
C2×#168635282
#447×D672
#225692602
C67×#32642
#6163067