Finite Group Databasebeta

← #31741900

Subgroups — #31741900

Order 17152.

2282 conjugacy classes of subgroups.

The subgroup lattice has 1974 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574434C211yesmaximal, characteristic, complemented
2#22573843C211yesmaximal, characteristic, complemented
3#22572297C211yesmaximal, characteristic, complemented
4#22572289C211yesmaximal, characteristic, complemented
5#22572177C211yesmaximal, characteristic, complemented
6#22572169C211yesmaximal, characteristic, complemented
7#22572036C211yesmaximal, characteristic, complemented
8#22572032C211yesmaximal, characteristic, complemented
9#22572025C211yesmaximal, characteristic, complemented
10#22572021C211yesmaximal, characteristic, complemented
11#22571915C211yesmaximal, characteristic, complemented
12#22571911C211yesmaximal, characteristic, complemented
13#22571893C211yesmaximal, characteristic, complemented
14#22571889C211yesmaximal, characteristic, complemented
15#22571703C211yesmaximal, characteristic, complemented
16#22571699C211yesmaximal, characteristic, complemented
17#22571688C211yesmaximal, characteristic, complemented
18#22571684C211yesmaximal, characteristic, complemented
19#22571303C211yesmaximal, characteristic, complemented
20#22571065C211yesmaximal, characteristic, complemented
21#22571057C211yesmaximal, characteristic, complemented
22#22570988C211yesmaximal, characteristic, complemented
23#22570972C211yesmaximal, characteristic, complemented
24#22570395C211yesmaximal, characteristic, complemented
25#22570387C211yesmaximal, characteristic, complemented
26#22569517C211yesmaximal, characteristic, complemented
27#22569511C211yesmaximal, characteristic, complemented
28#450×D67C211yesmaximal, characteristic, complemented
29#447×D67C211yesmaximal, characteristic, complemented
30#22569264C211yesmaximal, characteristic, complemented
31C67×#3224C211yesmaximal, characteristic, complemented
32C2×#14524089C2211yescharacteristic, complemented
33C22×D4×D67C2211yescharacteristic
34C2×#14524070C2211yescharacteristic, complemented
35C2×#14524067C2211yescharacteristic, complemented
36C2×#14524066C2211yescharacteristic, complemented
37C2×#14524064C2211yescharacteristic, complemented
38C2×SD16×D67C2211yescharacteristic, complemented
39C2×SD16×D67C2211yescharacteristic, complemented
40C2×D8×D67C2211yescharacteristic, complemented
41C2×D8×D67C2211yescharacteristic, complemented
42#16864143—21no—
43#16864140—21no—
44#16864107C2211yescharacteristic, complemented
45#16864106C2211yescharacteristic, complemented
46#16864058C2211yescharacteristic, complemented
47#16864054C2211yescharacteristic, complemented
48#16864051C2211yescharacteristic, complemented
49#16864049C2211yescharacteristic, complemented
50#16864043—21no—
51#16864043—21no—
52#16864041C2211yescharacteristic, complemented
53#16864039—21no—
54#16864039C2211yescharacteristic
55#16864039C2211yescharacteristic
56#16864039C2211yescharacteristic, complemented
57#16864039C2211yescharacteristic, complemented
58#16864039C2211yescharacteristic, complemented
59#16864038—21no—
60#16864031C2211yescharacteristic
61#16864031C2211yescharacteristic
62#16864031C2211yescharacteristic, complemented
63#16864031C2211yescharacteristic, complemented
64#16864030—21no—
65#16864030—21no—
66#16864021—21no—
67#16864017C2211yescharacteristic, complemented
68#16863987—21no—
69#16863985—21no—
70#16863976—21no—
71#16863976C2211yescharacteristic, complemented
72#16863975C2211yescharacteristic, complemented
73#16863963C2211yescharacteristic, complemented
74#16863956—21no—
75#16863956—21no—
76#16863908C2211yescharacteristic
77#16863903C2211yescharacteristic
78C22⋊Q8×D67C2211yescharacteristic, complemented
79#121×D67C2211yescharacteristic, complemented
80#120×D67—21no—
81#120×D67—21no—
82#16863870C2211yescharacteristic, complemented
83#16863783C2211yescharacteristic, complemented
84#16863778C2211yescharacteristic, complemented
85#16863755C2211yescharacteristic, complemented
86#16863742C2211yescharacteristic, complemented
87#16863738C2211yescharacteristic, complemented
88#16863734C2211yescharacteristic, complemented
89#16863730C2211yescharacteristic, complemented
90#16863725C2211yescharacteristic, complemented
91#16863721C2211yescharacteristic, complemented
92#16863717C2211yescharacteristic, complemented
93#16863713C2211yescharacteristic, complemented
94#16863713C2211yescharacteristic, complemented
95#16863713C2211yescharacteristic, complemented
96#16863708C2211yescharacteristic, complemented
97#16863708C2211yescharacteristic, complemented
98#16863708C2211yescharacteristic, complemented
99#16863687C2211yescharacteristic, complemented
100#16863683C2211yescharacteristic, complemented
101#16863677C2211yescharacteristic, complemented
102#16863673C2211yescharacteristic, complemented
103#16863648C2211yescharacteristic, complemented
104#16863646C2211yescharacteristic, complemented
105#16863641C2211yescharacteristic, complemented
106#16863639C2211yescharacteristic, complemented
107#16863636C2211yescharacteristic, complemented
108#16863634C2211yescharacteristic, complemented
109#16863631C2211yescharacteristic, complemented
110#16863631C2211yescharacteristic, complemented
111#16863629C2211yescharacteristic, complemented
112#16863629C2211yescharacteristic, complemented
113#16863628C2211yescharacteristic, complemented
114#16863624C2211yescharacteristic, complemented
115#16863624C2211yescharacteristic, complemented
116#16863622C2211yescharacteristic, complemented
117#16863622C2211yescharacteristic, complemented
118#16863622C2211yescharacteristic, complemented
119#16863615C2211yescharacteristic, complemented
120#16863612C2211yescharacteristic, complemented
121#16863612C2211yescharacteristic, complemented
122#16863608C2211yescharacteristic, complemented
123#16863608C2211yescharacteristic, complemented
124#16863608C2211yescharacteristic, complemented
125#16863593C2211yescharacteristic, complemented
126#16863588C2211yescharacteristic, complemented
127#16863561C2211yescharacteristic, complemented
128#16863558C2211yescharacteristic, complemented
129#16863557C2211yescharacteristic, complemented
130#16863550C2211yescharacteristic, complemented
131#16863549C2211yescharacteristic, complemented
132#16863548C2211yescharacteristic, complemented
133#16863548C2211yescharacteristic, complemented
134#16863548C2211yescharacteristic, complemented
135#16863547C2211yescharacteristic, complemented
136#16863546C2211yescharacteristic, complemented
137#16863545C2211yescharacteristic, complemented
138#16863545C2211yescharacteristic, complemented
139#16863545C2211yescharacteristic, complemented
140#16863545C2211yescharacteristic, complemented
141#16863544C2211yescharacteristic, complemented
142#16863541C2211yescharacteristic, complemented
143#16863540C2211yescharacteristic, complemented
144#16863540C2211yescharacteristic, complemented
145#16863540C2211yescharacteristic, complemented
146#16863538C2211yescharacteristic, complemented
147#16863538C2211yescharacteristic, complemented
148#16863533C2211yescharacteristic, complemented
149#16863532C2211yescharacteristic
150#16863531C2211yescharacteristic, complemented
151#16863531C2211yescharacteristic, complemented
152#16863531C2211yescharacteristic, complemented
153#16863530C2211yescharacteristic, complemented
154#16863529C2211yescharacteristic
155#16863528C2211yescharacteristic, complemented
156#16863528C2211yescharacteristic, complemented
157#16863528C2211yescharacteristic, complemented
158#16863528C2211yescharacteristic, complemented
159#16863509C2211yescharacteristic, complemented
160#16863506C2211yescharacteristic, complemented
161#16863498C2211yescharacteristic, complemented
162#16863494C2211yescharacteristic, complemented
163C4×#11761617C2211yescharacteristic, complemented
164C4×#11761615C2211yescharacteristic, complemented
165C4×D536C2211yescharacteristic, complemented
166C4×#11761613C2211yescharacteristic, complemented
167#16863469C2211yescharacteristic, complemented
168#16863469C2211yescharacteristic, complemented
169#16863466C2211yescharacteristic, complemented
170#16863466C2211yescharacteristic, complemented
171C8×D268C2211yescharacteristic, complemented
172C8×D268C2211yescharacteristic, complemented
173#16863461C2211yescharacteristic, complemented
174#16863461C2211yescharacteristic, complemented
175#16863457C2211yescharacteristic, complemented
176#16863396C2211yescharacteristic, complemented
177#16863396C2211yescharacteristic, complemented
178#102×D67C2211yescharacteristic, complemented
179#102×D67C2211yescharacteristic, complemented
180#102×D67C2211yescharacteristic, complemented
181#102×D67C2211yescharacteristic, complemented
182#102×D67C2211yescharacteristic, complemented
183#102×D67C2211yescharacteristic, complemented
184#16863361C2211yescharacteristic, complemented
185#16863361C2211yescharacteristic, complemented
186C22⋊C8×D67C2211yescharacteristic, complemented
187C22⋊C8×D67C2211yescharacteristic, complemented
188#542×C67C2211yescharacteristic, complemented
189#535×C67C2211yescharacteristic, complemented
190#496×C67C2211yescharacteristic, complemented
191#495×C67C2211yescharacteristic, complemented
192#489×C67C2211yescharacteristic, complemented
193#486×C67C2211yescharacteristic, complemented
194#464×C67C2211yescharacteristic, complemented
195#463×C67C2211yescharacteristic, complemented
196#460×C67C2211yescharacteristic, complemented
197#459×C67C2211yescharacteristic, complemented
198#452×C67C2211yescharacteristic, complemented
199#450×C67C2211yescharacteristic, complemented
200#449×C67C2211yescharacteristic, complemented
201#447×C67C2211yescharacteristic, complemented
202#433×C67C2211yescharacteristic, complemented
203C24×D67—21no—
204#14524089—42no—
205#14524089—42no—
206C2×#11761629—21no—
207C2×#11761629C2311yescharacteristic
208C2×#11761629C2311yescharacteristic
209C2×#11761629C2311yescharacteristic, complemented
210C2×#11761628—21no—
211C2×#11761628—21no—
212C2×#11761628C2311yescharacteristic
213C2×#11761627C2311yescharacteristic, complemented
214C2×Q8×D67C2311yescharacteristic
215C22×D268—21no—
216C22×D268C2311yescharacteristic
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—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
236C22×C4×D67C2311yescharacteristic
237#14524070—42no—
238#14524067—42no—
239#14524066—42no—
240#14524064—42no—
241C2×#11761618C2311yescharacteristic, complemented
242C2×#11761617C2311yescharacteristic
243C2×#11761617C2311yescharacteristic
244C2×#11761616C2311yescharacteristic
245C2×#11761616C2311yescharacteristic
246C2×#11761616C2311yescharacteristic, complemented
247C2×#11761615C2311yescharacteristic
248C2×#11761615C2311yescharacteristic
249C2×#11761615C2311yescharacteristic, complemented
250SD16×D67—42no—
251SD16×D67—42no—
252C2×D536C2311yescharacteristic
253C2×D536C2311yescharacteristic
254C2×#11761613C2311yescharacteristic
255C2×#11761613C2311yescharacteristic
256C2×#11761613C2311yescharacteristic
257C2×#11761613C2311yescharacteristic
258C2×#11761613C2311yescharacteristic, complemented
259D8×D67—42no—
260D8×D67—42no—
261C2×#11761611C2311yescharacteristic, complemented
262C2×#11761611C2311yescharacteristic, complemented
263C2×C8×D67C2311yescharacteristic
264C2×C8×D67C2311yescharacteristic
265C2×C8×D67C2311yescharacteristic
266C2×C8×D67C2311yescharacteristic
267C2×C8×D67C2311yescharacteristic, complemented
268C2×C8×D67C2311yescharacteristic, complemented
269#14524043C2311yescharacteristic, complemented
270#14524039—21no—
271#14524038—21no—
272#14524035—21no—
273#14524034—21no—
274#14524031—21no—
275#14524031C2311yescharacteristic, complemented
276#14524030—21no—
277#14524029—21no—
278#14524029—21no—
279#14524028—21no—
280#14524028—21no—
281#14524027—21no—
282#14524027D411yescharacteristic
283#14524027D411yescharacteristic
284#14524025—21no—
285#14524025—21no—
286#14524025—21no—
287#14524025—21no—
288#14524025—21no—
289#14524025—21no—
290#14524025—21no—
291#14524025—21no—
292#14524024—21no—
293#14524023—21no—
294#14524023D411yescharacteristic
295#14524023D411yescharacteristic
296#14524023C2311yescharacteristic
297#14524023C2311yescharacteristic, complemented
298#14524022—21no—
299#14524022C2311yescharacteristic
300#14524021—21no—
301#14524021—21no—
302#14524021—21no—
303#14524021—21no—
304#14524021—21no—
305#14524020—21no—
306#14524020—21no—
307#14524020—21no—
308#14524019—21no—
309#14524019—21no—
310#14524019—21no—
311#14524019C2311yescharacteristic
312#14524019C2311yescharacteristic
313#14524019C2311yescharacteristic
314#14524019C2311yescharacteristic, complemented
315#14524018—21no—
316#14524018—21no—
317#14524018D411yescharacteristic
318#14524018D411yescharacteristic
319#14524018C2311yescharacteristic
320#14524018C2311yescharacteristic, complemented
321#14524017—21no—
322#14524017C2311yescharacteristic
323#14524016—21no—
324#14524016—21no—
325#14524016—21no—
326#14524016—21no—
327#14524016—21no—
328#14524016—21no—
329#14524016—21no—
330#14524016—21no—
331#14524016—21no—
332#14524016—21no—
333#14524015—21no—
334#14524015—21no—
335#14524014—21no—
336#14524014—21no—
337#14524014—21no—
338#14524014—21no—
339#14524014—21no—
340#14524014C2311yescharacteristic
341#14524014C2311yescharacteristic
342#14524014C2311yescharacteristic
343#14524014C2311yescharacteristic
344#14524014C2311yescharacteristic
345#14524014C2311yescharacteristic
346#14524014C2311yescharacteristic
347#14524014C2311yescharacteristic, complemented
348#14524013—21no—
349#14524013—21no—
350#14524013—21no—
351#14524013—21no—
352#14524013—21no—
353#14524013—21no—
354#14524013D411yescharacteristic
355#14524013D411yescharacteristic
356#14524012—21no—
357#14524012—21no—
358#14524011—21no—
359#14524011—21no—
360#14524011—21no—
361#14524011—21no—
362#14524011—21no—
363#14524011—21no—
364#14524011—21no—
365#14524011—21no—
366#14524011—21no—
367C4×Dic134C2311yescharacteristic, complemented
368C4×D268—21no—
369C4×D268—21no—
370C4×D268C2311yescharacteristic
371C4×D268C2311yescharacteristic
372C4×D268C2311yescharacteristic
373C4×D268C2311yescharacteristic
374C4×D268C2311yescharacteristic
375C4×D268C2311yescharacteristic
376C4×D268C2311yescharacteristic
377C4×D268C2311yescharacteristic
378C4×D268C2311yescharacteristic, complemented
379#14524005—21no—
380#14524005—21no—
381#14524005—21no—
382C4×C22⋊D67—21no—
383C4×C22⋊D67—21no—
384(C22⋊D67)⋊C4—21no—
385#14524002C2311yescharacteristic
386C4⋊C4×D67—21no—
387C4⋊C4×D67C2311yescharacteristic
388C4⋊C4×D67C2311yescharacteristic
389C4⋊C4×D67C2311yescharacteristic, complemented
390C4⋊C4×D67C2311yescharacteristic, complemented
391C2×(C2×D67)⋊C4—21no—
392C22⋊C4×D67—21no—
393C22⋊C4×D67—21no—
394C22⋊C4×D67—21no—
395C22⋊C4×D67—21no—
396C22⋊C4×D67—21no—
397C22⋊C4×D67—21no—
398C22⋊C4×D67—21no—
399C22⋊C4×D67—21no—
400C22⋊C4×D67—21no—
401#14523977C2311yescharacteristic, complemented
402#14523977C2311yescharacteristic, complemented
403#14523976C2311yescharacteristic, complemented
404#14523976C2311yescharacteristic, complemented
405#14523975C2311yescharacteristic, complemented
406#14523975C2311yescharacteristic, complemented
407#14523974C2311yescharacteristic, complemented
408#14523974C2311yescharacteristic, complemented
409C4⋊(C67⋊C8)C2311yescharacteristic, complemented
410C4⋊(C67⋊C8)C2311yescharacteristic, complemented
411#14523968C2311yescharacteristic, complemented
412#14523968C2311yescharacteristic, complemented
413#14523967C2311yescharacteristic, complemented
414#14523967C2311yescharacteristic, complemented
415#14523967C2311yescharacteristic, complemented
416#14523967C2311yescharacteristic, complemented
417#14523965C2311yescharacteristic
418#14523965C2311yescharacteristic
419#14523965C2311yescharacteristic
420#14523965C2311yescharacteristic
421#14523965C2311yescharacteristic, complemented
422#14523965C2311yescharacteristic, complemented
423#14523964C2311yescharacteristic
424#14523964C2311yescharacteristic
425#14523964C2311yescharacteristic
426#14523964C2311yescharacteristic
427#14523964C2311yescharacteristic, complemented
428#14523964C2311yescharacteristic, complemented
429#14523964C2311yescharacteristic, complemented
430#14523964C2311yescharacteristic, complemented
431#14523963C2311yescharacteristic
432#14523963C2311yescharacteristic
433#14523963C2311yescharacteristic
434#14523963C2311yescharacteristic
435C22⋊(C67⋊C8)C2311yescharacteristic
436C22⋊(C67⋊C8)C2311yescharacteristic
437(C2×D67)⋊C8C2311yescharacteristic
438(C2×D67)⋊C8C2311yescharacteristic
439(C2×D67)⋊C8C2311yescharacteristic
440(C2×D67)⋊C8C2311yescharacteristic
441(C2×D67)⋊C8C2311yescharacteristic, complemented
442(C2×D67)⋊C8C2311yescharacteristic, complemented
443(C2×D67)⋊C8C2311yescharacteristic, complemented
444(C2×D67)⋊C8C2311yescharacteristic, complemented
445#14523954C2311yescharacteristic, complemented
446C4×C67⋊C8C2311yescharacteristic, complemented
447C2×#41×C67C2311yescharacteristic
448C22×D4×C67C2311yescharacteristic
449C2×Q16×C67C2311yescharacteristic, complemented
450C2×SD16×C67C2311yescharacteristic
451C2×SD16×C67C2311yescharacteristic
452C2×SD16×C67C2311yescharacteristic, complemented
453C2×SD16×C67C2311yescharacteristic, complemented
454C2×D8×C67C2311yescharacteristic
455C2×D8×C67C2311yescharacteristic
456C2×D8×C67C2311yescharacteristic, complemented
457C4⋊Q8×C67C2311yescharacteristic, complemented
458#127×C67C2311yescharacteristic
459#127×C67C2311yescharacteristic
460#126×C67—21no—
461#124×C67—21no—
462#124×C67C2311yescharacteristic
463#124×C67C2311yescharacteristic
464#124×C67C2311yescharacteristic, complemented
465#123×C67—21no—
466C22⋊Q8×C67—21no—
467C22⋊Q8×C67C2311yescharacteristic
468#121×C67—21no—
469#121×C67—21no—
470#121×C67C2311yescharacteristic
471#120×C67—21no—
472#120×C67—21no—
473C4×Q8×C67C2311yescharacteristic, complemented
474C4×D4×C67C2311yescharacteristic, complemented
475#117×C67C2311yescharacteristic
476C4⋊C8×C67C2311yescharacteristic, complemented
477C4⋊C8×C67C2311yescharacteristic, complemented
478#103×C67C2311yescharacteristic, complemented
479#103×C67C2311yescharacteristic, complemented
480#102×C67C2311yescharacteristic
481#102×C67C2311yescharacteristic
482#102×C67C2311yescharacteristic
483#102×C67C2311yescharacteristic
484#102×C67C2311yescharacteristic, complemented
485#102×C67C2311yescharacteristic, complemented
486C22⋊C8×C67C2311yescharacteristic
487C22⋊C8×C67C2311yescharacteristic
488#97×C67C2311yescharacteristic, complemented
489C4×C8×C67C2311yescharacteristic, complemented
490C23×D67—21no—
491C23×D67—21no—
492C23×D67—21no—
493C23×D67—21no—
494C23×D67—21no—
495C23×D67—21no—
496C23×D67—21no—
497C23×D67—21no—
498C23×D67—44no—
499C23×D67—82no—
500C23×D67—82no—
501C23×D67C2×D411yescharacteristic
502#11761629—22no—
503#11761629—22no—
504#11761629—41no—
505#11761629—41no—
506#11761629—41no—
507#11761629—41no—
508#11761629—82no—
509#11761628—41no—
510#11761628—41no—
511#11761628—44no—
512#11761628—82no—
513#11761627—41no—
514#11761627—41no—
515C2×Dic134—21no—
516C2×Dic134—21no—
517C2×Dic134C2×D411yescharacteristic
518C2×Dic134C2411yescharacteristic
519Q8×D67—41no—
520Q8×D67—41no—
521C2×D268—21no—
522C2×D268—22no—
523C2×D268—22no—
524C2×D268—21no—
525C2×D268—21no—
526C2×D268—21no—
527C2×D268—21no—
528C2×D268—21no—
529C2×D268—44no—
530C2×D268C2×D411yescharacteristic
531C2×D268C2×D411yescharacteristic
532C2×D268C2×D411yescharacteristic
533C2×D268C2×D411yescharacteristic
534C2×D268C2×D411yescharacteristic
535C2×D268C2411yescharacteristic
536C2×D268C2411yescharacteristic
537C2×D268C2411yescharacteristic
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⋊D67C2×D411yescharacteristic
557C2×C22⋊D67C2×D411yescharacteristic
558D4×D67—22no—
559D4×D67—22no—
560D4×D67—22no—
561D4×D67—22no—
562D4×D67—22no—
563D4×D67—22no—
564D4×D67—41no—
565D4×D67—41no—
566D4×D67—41no—
567D4×D67—41no—
568D4×D67—41no—
569D4×D67—41no—
570D4×D67—41no—
571D4×D67—41no—
572D4×D67—44no—
573D4×D67—44no—
574D4×D67—44no—
575D4×D67—44no—
576D4×D67—82no—
577D4×D67—82no—
578D4×D67—82no—
579D4×D67—82no—
580D4×D67—82no—
581C22×Dic67—21no—
582C22×Dic67C2×D411yescharacteristic
583C2×C4×D67—21no—
584C2×C4×D67—21no—
585C2×C4×D67—21no—
586C2×C4×D67—21no—
587C2×C4×D67—21no—
588C2×C4×D67—21no—
589C2×C4×D67—21no—
590C2×C4×D67—21no—
591C2×C4×D67—21no—
592C2×C4×D67—21no—
593C2×C4×D67—21no—
594C2×C4×D67—21no—
595C2×C4×D67—21no—
596C2×C4×D67—41no—
597C2×C4×D67—41no—
598C2×C4×D67C2×D411yescharacteristic
599C2×C4×D67C2×D411yescharacteristic
600C2×C4×D67C2411yescharacteristic
601C2×C4×D67C2411yescharacteristic
602C2×C4×D67C2411yescharacteristic
603C2×C4×D67C2411yescharacteristic
604#11761618—41no—
605#11761617—22no—
606#11761617—22no—
607#11761616—41no—
608#11761616—41no—
609#11761616—41no—
610#11761615—22no—
611#11761615—22no—
612#11761615—41no—
613D536—22no—
614D536—22no—
615#11761613—22no—
616#11761613—22no—
617#11761613—41no—
618#11761613—41no—
619#11761613—41no—
620#11761611—41no—
621#11761611—41no—
622C2×C67⋊C8C2411yescharacteristic
623C2×C67⋊C8C2411yescharacteristic
624C2×C67⋊C8C2411yescharacteristic
625C2×C67⋊C8C2411yescharacteristic
626C8×D67—41no—
627C8×D67—41no—
628C8×D67—41no—
629C8×D67—41no—
630C8×D67—41no—
631C8×D67—41no—
632C4⋊Dic67—21no—
633C4⋊Dic67—21no—
634C4⋊Dic67—21no—
635C4⋊Dic67C2×D411yescharacteristic
636C4⋊Dic67C2×D411yescharacteristic
637C4⋊Dic67C2×D411yescharacteristic
638C4⋊Dic67C2×D411yescharacteristic
639C4⋊Dic67C2411yescharacteristic
640C4⋊Dic67C2411yescharacteristic
641C4⋊Dic67C2411yescharacteristic
642C4⋊Dic67C2411yescharacteristic
643Dic67⋊C4—21no—
644Dic67⋊C4—21no—
645Dic67⋊C4—21no—
646Dic67⋊C4—21no—
647Dic67⋊C4—21no—
648Dic67⋊C4—21no—
649Dic67⋊C4—21no—
650Dic67⋊C4—21no—
651Dic67⋊C4—21no—
652Dic67⋊C4—21no—
653C22⋊Dic67—21no—
654C22⋊Dic67—21no—
655C22⋊Dic67—21no—
656C22⋊Dic67—21no—
657C22⋊Dic67—21no—
658C22⋊Dic67—21no—
659C22⋊Dic67—21no—
660C22⋊Dic67—21no—
661C22⋊Dic67—21no—
662C22⋊Dic67—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)⋊C4—21no—
675(C2×D67)⋊C4—21no—
676(C2×D67)⋊C4—21no—
677(C2×D67)⋊C4—21no—
678(C2×D67)⋊C4—21no—
679(C2×D67)⋊C4C2×D411yescharacteristic
680(C2×D67)⋊C4C2×D411yescharacteristic
681(C2×D67)⋊C4C2×D411yescharacteristic
682(C2×D67)⋊C4C2×D411yescharacteristic
683(C2×D67)⋊C4C2×D411yescharacteristic
684(C2×D67)⋊C4C2×D411yescharacteristic
685(C2×D67)⋊C4C2×D411yescharacteristic
686(C2×D67)⋊C4C2×D411yescharacteristic
687C4×Dic67—21no—
688C4×Dic67—21no—
689C24×C67—21no—
690#41×C67—41no—
691#41×C67—41no—
692C2×Q8×C67—21no—
693C2×Q8×C67C2411yescharacteristic
694C2×Q8×C67C2411yescharacteristic
695C2×D4×C67—21no—
696C2×D4×C67—21no—
697C2×D4×C67—21no—
698C2×D4×C67—21no—
699C2×D4×C67—21no—
700C2×D4×C67—21no—
701C2×D4×C67—21no—
702C2×D4×C67—41no—
703C2×D4×C67—41no—
704C2×D4×C67C2411yescharacteristic
705C2×D4×C67C2411yescharacteristic
706C2×D4×C67C2411yescharacteristic
707C2×D4×C67C2411yescharacteristic
708C22×C4×C67—21no—
709C22×C4×C67—21no—
710C22×C4×C67C2411yescharacteristic
711Q16×C67—41no—
712SD16×C67—41no—
713SD16×C67—41no—
714SD16×C67—41no—
715SD16×C67—41no—
716D8×C67—41no—
717D8×C67—41no—
718D8×C67—41no—
719C2×C8×C67C2411yescharacteristic
720C2×C8×C67C2411yescharacteristic
721C2×C8×C67C2411yescharacteristic
722C2×C8×C67C2411yescharacteristic
723C4⋊C4×C67—21no—
724C4⋊C4×C67—21no—
725C4⋊C4×C67—21no—
726C4⋊C4×C67C2×D411yescharacteristic
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×C67—21no—
738C22⋊C4×C67—21no—
739C22⋊C4×C67C2×D411yescharacteristic
740C22⋊C4×C67C2×D411yescharacteristic
741C42×C67—21no—
742C42×C67C2411yescharacteristic
743C42×C67C2411yescharacteristic
744C23×C67—21no—
745C23×C67—21no—
746C23×C67—21no—
747C23×C67—21no—
748C23×C67—42no—
749C23×C67—81no—
750C23×C67—81no—
751C23×C67C22×D411yescharacteristic
752C22×D67—21no—
753C22×D67—21no—
754C22×D67—24no—
755C22×D67—22no—
756C22×D67—22no—
757C22×D67—21no—
758C22×D67—41no—
759C22×D67—42no—
760C22×D67—42no—
761C22×D67—42no—
762C22×D67—42no—
763C22×D67—42no—
764C22×D67—42no—
765C22×D67—42no—
766C22×D67—42no—
767C22×D67—42no—
768C22×D67—42no—
769C22×D67—42no—
770C22×D67—81no—
771C22×D67—81no—
772C22×D67—81no—
773C22×D67—81no—
774C22×D67—81no—
775C22×D67—81no—
776C22×D67—81no—
777C22×D67—81no—
778C22×D67—81no—
779C22×D67—81no—
780C22×D67—81no—
781C22×D67—81no—
782C22×D67—816no—
783C22×D67C22×D411yescharacteristic
784C22×D67C22×D411yescharacteristic
785C22×D67C22×D411yescharacteristic
786C22×D67C22×D411yescharacteristic
787Q8×C67—21no—
788Q8×C67—21no—
789Q8×C67—21no—
790Q8×C67—21no—
791Q8×C67—81no—
792D4×C67—21no—
793D4×C67—21no—
794D4×C67—21no—
795D4×C67—21no—
796D4×C67—21no—
797D4×C67—21no—
798D4×C67—21no—
799D4×C67—21no—
800D4×C67—42no—
801D4×C67—42no—
802D4×C67—81no—
803D4×C67—81no—
804D4×C67—81no—
805D4×C67—81no—
806D4×C67—81no—
807C2×C4×C67—21no—
808C2×C4×C67—21no—
809C2×C4×C67—21no—
810C2×C4×C67—21no—
811C2×C4×C67—21no—
812C2×C4×C67—21no—
813C2×C4×C67—42no—
814C2×C4×C67—81no—
815C2×C4×C67C22×D411yescharacteristic
816C2×C4×C67C22×D411yescharacteristic
817C2×C4×C67C22×D411yescharacteristic
818C2×C4×C67C22×D411yescharacteristic
819C2×C4×C67C22×D411yescharacteristic
820C2×C4×C67C2511yescharacteristic
821C22⋊D67—41no—
822C22⋊D67—41no—
823C22⋊D67—42no—
824C22⋊D67—42no—
825C22⋊D67—42no—
826C22⋊D67—42no—
827C22⋊D67—42no—
828C22⋊D67—42no—
829C22⋊D67—42no—
830C22⋊D67—42no—
831C22⋊D67—42no—
832C22⋊D67—81no—
833C22⋊D67—81no—
834C22⋊D67—81no—
835C22⋊D67—81no—
836C22⋊D67—81no—
837C22⋊D67—81no—
838C22⋊D67—81no—
839C22⋊D67—81no—
840C2×Dic67—21no—
841C2×Dic67—21no—
842C2×Dic67—21no—
843C2×Dic67—21no—
844C2×Dic67—21no—
845C2×Dic67—41no—
846C2×Dic67—81no—
847C2×Dic67C22×D411yescharacteristic
848C2×Dic67C22×D411yescharacteristic
849C2×Dic67C22×D411yescharacteristic
850C2×Dic67C22×D411yescharacteristic
851D268—24no—
852D268—22no—
853D268—22no—
854D268—22no—
855D268—22no—
856D268—21no—
857D268—21no—
858D268—21no—
859D268—21no—
860D268—41no—
861D268—42no—
862D268—42no—
863D268—42no—
864D268—81no—
865D268—81no—
866D268H(5,𝔽2)12yes—
867D268H(5,𝔽2)12yes—
868C4×D67—21no—
869C4×D67—21no—
870C4×D67—21no—
871C4×D67—21no—
872C4×D67—21no—
873C4×D67—21no—
874C4×D67—21no—
875C4×D67—21no—
876C4×D67—41no—
877C4×D67—41no—
878C4×D67—42no—
879C4×D67—42no—
880C4×D67—42no—
881C4×D67—81no—
882C4×D67—81no—
883C4×D67—81no—
884C4×D67—81no—
885C4×D67—81no—
886C4×D67—81no—
887C4×D67—81no—
888C4×D67—81no—
889C4×D67—81no—
890C4×D67—81no—
891Dic134—21no—
892Dic134—21no—
893Dic134—41no—
894Dic134—81no—
895Dic134—81no—
896C8×C67—21no—
897C8×C67—21no—
898C8×C67—21no—
899C8×C67—21no—
900C67⋊C8—21no—
901C67⋊C8—21no—
902C67⋊C8—21no—
903C67⋊C8—21no—
904C22×C67—21no—
905C22×C67—21no—
906C22×C67—21no—
907C22×C67—41no—
908C22×C67—41no—
909C22×C67—41no—
910C22×C67—41no—
911C22×C67—41no—
912C22×C67—41no—
913C22×C67—41no—
914C22×C67—41no—
915C22×C67—41no—
916C22×C67—41no—
917C22×C67—41no—
918C22×C67—41no—
919C22×C67—84no—
920C22×C67C23×D411yescharacteristic
921C2×D67—21no—
922C2×D67—21no—
923C2×D67—21no—
924C2×D67—21no—
925C2×D67—21no—
926C2×D67—21no—
927C2×D67—22no—
928C2×D67—22no—
929C2×D67—21no—
930C2×D67—21no—
931C2×D67—21no—
932C2×D67—21no—
933C2×D67—44no—
934C2×D67—41no—
935C2×D67—41no—
936C2×D67—41no—
937C2×D67—41no—
938C2×D67—41no—
939C2×D67—41no—
940C2×D67—41no—
941C2×D67—84no—
942C2×D67—84no—
943C2×D67—84no—
944C2×D67—84no—
945C2×D67—84no—
946C2×D67—162no—
947C2×D67—162no—
948C2×D67—162no—
949C2×D67#57612yes—
950C2×D67#57712yes—
951C4×C67—21no—
952C4×C67—21no—
953C4×C67—21no—
954C4×C67—21no—
955C4×C67—21no—
956C4×C67—41no—
957C4×C67—41no—
958C4×C67—41no—
959C4×C67—41no—
960C4×C67C2×H(5,𝔽2)11yescharacteristic
961C4×C67C2×H(5,𝔽2)11yescharacteristic
962Dic67—21no—
963Dic67—21no—
964Dic67—21no—
965Dic67—21no—
966Dic67—41no—
967Dic67—41no—
968Dic67—41no—
969Dic67—41no—
970Dic67—41no—
971#61629—671nomaximal, Sylow
972C2×C67—41no—
973C2×C67—81no—
974C2×C67—81no—
975C2×C67—81no—
976C2×C67—81no—
977C2×C67#348411yescharacteristic
978C2×C67C2×#57611yescharacteristic
979C2×C67C2×#57711yescharacteristic
980D67—22no—
981D67—22no—
982D67—41no—
983D67—41no—
984D67—42no—
985D67—42no—
986D67—81no—
987#3536—671no—
988#3484—671no—
989#3314—671no—
990#3314—671no—
991#3306—671no—
992#3306—671no—
993#3295—671no—
994#3295—671no—
995#3294—671no—
996#3294—671no—
997#3282—671no—
998#3282—671no—
999#3280—671no—
1000#3280—671no—
1001#3265—671no—
1002#3265—671no—
1003#3264—671no—
1004#3264—671no—
1005#3224—671no—
1006#3224D6711yescharacteristic, complemented
1007#3198—671no—
1008#3198—671no—
1009#3190—671no—
1010#3188—671no—
1011#3118—671no—
1012#3118—671no—
1013#3012—671no—
1014#3012—671no—
1015C2×#450—671no—
1016C2×#447—671no—
1017#2977—671no—
1018C67#6162911yescharacteristic, complemented, Sylow
1019C2×H(5,𝔽2)—671no—
1020C23×D4—671no—
1021C2×AGL(1,ℤ/8)—671no—
1022C2×AGL(1,ℤ/8)—671no—
1023C2×#135—671no—
1024C2×#135—671no—
1025C22×SD16—671no—
1026C22×SD16—671no—
1027C22×D8—671no—
1028C22×D8—671no—
1029#562—1341no—
1030#562—1341no—
1031#554—671no—
1032#554—671no—
1033#548—671no—
1034#548—671no—
1035#547—671no—
1036#547—671no—
1037#546—671no—
1038#546—671no—
1039#546—671no—
1040#546—671no—
1041#546—671no—
1042#546—671no—
1043#546—1341no—
1044#546—1341no—
1045#546—1341no—
1046#546—1341no—
1047D42—671no—
1048D42—671no—
1049D42—671no—
1050D42—671no—
1051D42—1341no—
1052D42—1341no—
1053#543—1341no—
1054#542—671no—
1055#542C2×D6711yescharacteristic, complemented
1056#539—1341no—
1057#538—1341no—
1058#537—671no—
1059#537—671no—
1060#537—1341no—
1061#535—671no—
1062#535C2×D6711yescharacteristic, complemented
1063#534—1341no—
1064#534—1341no—
1065#525—671no—
1066#525—671no—
1067C2×C22⋊Q8—671no—
1068C2×#121—671no—
1069C2×#120—1341no—
1070C2×#120—1341no—
1071#518—671no—
1072#496—671no—
1073#496C2×D6711yescharacteristic, complemented
1074#495—671no—
1075#495C2×D6711yescharacteristic, complemented
1076#489—671no—
1077#489C2×D6711yescharacteristic, complemented
1078#486—671no—
1079#486C2×D6711yescharacteristic, complemented
1080#485—671no—
1081#485—671no—
1082#484—671no—
1083#483—671no—
1084#482—671no—
1085#482—671no—
1086#481—671no—
1087#481—671no—
1088#481—671no—
1089#480—671no—
1090#480—671no—
1091#480—671no—
1092#476—671no—
1093#476—671no—
1094#474—671no—
1095#474—671no—
1096#469—671no—
1097#469—671no—
1098#468—671no—
1099#468—671no—
1100#467—671no—
1101#467—671no—
1102#466—671no—
1103#466—671no—
1104#466—671no—
1105#466—671no—
1106#465—671no—
1107#465—671no—
1108#465—671no—
1109#465—671no—
1110#465—671no—
1111#465—671no—
1112#464—671no—
1113#464C2×D6711yescharacteristic, complemented
1114#463—671no—
1115#463—671no—
1116#463—671no—
1117#463—671no—
1118#463—671no—
1119#463C2×D6711yescharacteristic, complemented
1120#460—671no—
1121#460C2×D6711yescharacteristic, complemented
1122#459—671no—
1123#459C2×D6711yescharacteristic, complemented
1124#452—671no—
1125#452—671no—
1126#452—671no—
1127#452C2×D6711yescharacteristic, complemented
1128#451—671no—
1129#450—671no—
1130#450—671no—
1131#450—671no—
1132#450—671no—
1133#450—671no—
1134#450—671no—
1135#450—671no—
1136#450—671no—
1137#450—671no—
1138#450—671no—
1139#450C2×D6711yescharacteristic, complemented
1140#449—671no—
1141#449—671no—
1142#449—671no—
1143#449—671no—
1144#449—671no—
1145#449—671no—
1146#449—671no—
1147#449C2×D6711yescharacteristic, complemented
1148#448—671no—
1149#447—671no—
1150#447—671no—
1151#447—671no—
1152#447—671no—
1153#447—671no—
1154#447—671no—
1155#447—671no—
1156#447—671no—
1157#447—671no—
1158#447—671no—
1159#447C2×D6711yescharacteristic, complemented
1160#442—671no—
1161#442—671no—
1162#440—671no—
1163#440—671no—
1164C4×SD16—671no—
1165C4×SD16—671no—
1166C4×D8—671no—
1167C4×D8—671no—
1168#435—671no—
1169#435—671no—
1170#435—671no—
1171#435—671no—
1172C8×D4—671no—
1173C8×D4—671no—
1174C8×D4—671no—
1175C8×D4—671no—
1176#433—671no—
1177#433C2×D6711yescharacteristic, complemented
1178#417—671no—
1179#417—671no—
1180C2×#102—671no—
1181C2×#102—671no—
1182C2×#102—671no—
1183C2×#102—671no—
1184C2×#102—671no—
1185C2×#102—671no—
1186#408—671no—
1187#408—671no—
1188C2×C22⋊C8—671no—
1189C2×C22⋊C8—671no—
1190C25—1341no—
1191H(5,𝔽2)—2682no—
1192H(5,𝔽2)—2682no—
1193C2×#41—671no—
1194C2×#41—671no—
1195C2×#41—671no—
1196C2×#41—671no—
1197C2×#41—671no—
1198C2×#41—1341no—
1199C2×#41—1341no—
1200C2×#41—1341no—
1201C2×#41C22×D6711yescharacteristic
1202C22×Q8—671no—
1203C22×D4—2682no—
1204C22×D4—2682no—
1205C22×D4—671no—
1206C22×D4—671no—
1207C22×D4—671no—
1208C22×D4—671no—
1209C22×D4—671no—
1210C22×D4—671no—
1211C22×D4—671no—
1212C22×D4—671no—
1213C22×D4—1341no—
1214C22×D4—1341no—
1215C22×D4—1341no—
1216C22×D4—1341no—
1217C22×D4—1341no—
1218C22×D4—1341no—
1219C22×D4—1341no—
1220C22×D4—1341no—
1221C22×D4—1341no—
1222C22×D4—1341no—
1223C22×D4—1341no—
1224C22×D4C22×D6711yescharacteristic
1225C23×C4—671no—
1226AGL(1,ℤ/8)—2682no—
1227AGL(1,ℤ/8)—2682no—
1228#135—2682no—
1229#135—2682no—
1230C2×Q16—671no—
1231C2×Q16C22×D6711yescharacteristic, complemented
1232C2×SD16—2682no—
1233C2×SD16—2682no—
1234C2×SD16—671no—
1235C2×SD16—671no—
1236C2×SD16—671no—
1237C2×SD16—671no—
1238C2×SD16—671no—
1239C2×SD16—671no—
1240C2×SD16—671no—
1241C2×SD16—671no—
1242C2×SD16C22×D6711yescharacteristic
1243C2×SD16C22×D6711yescharacteristic
1244C2×SD16C22×D6711yescharacteristic, complemented
1245C2×SD16C22×D6711yescharacteristic, complemented
1246C2×D8—2682no—
1247C2×D8—2682no—
1248C2×D8—671no—
1249C2×D8—671no—
1250C2×D8—671no—
1251C2×D8—671no—
1252C2×D8—671no—
1253C2×D8—671no—
1254C2×D8—671no—
1255C2×D8C22×D6711yescharacteristic
1256C2×D8C22×D6711yescharacteristic
1257C2×D8C22×D6711yescharacteristic, complemented
1258C2×M16—671no—
1259C2×M16—671no—
1260C22×C8—671no—
1261C22×C8—671no—
1262C22×C8—671no—
1263C22×C8—671no—
1264C22×C8—671no—
1265C22×C8—671no—
1266C4⋊Q8—671no—
1267C4⋊Q8C22×D6711yescharacteristic, complemented
1268#127—1341no—
1269#127C22×D6711yescharacteristic
1270#127C22×D6711yescharacteristic
1271#126—21no—
1272#126—1341no—
1273#125—1341no—
1274#125—1341no—
1275#124—21no—
1276#124—671no—
1277#124—1341no—
1278#124—1341no—
1279#124—1341no—
1280#124—1341no—
1281#124C22×D6711yescharacteristic
1282#124C22×D6711yescharacteristic
1283#124C22×D6711yescharacteristic, complemented
1284#123—21no—
1285#123—671no—
1286#123—671no—
1287#123—1341no—
1288#123—1341no—
1289#123—1341no—
1290#123—1341no—
1291#123—1341no—
1292#123—1341no—
1293#123—1341no—
1294#123—1341no—
1295#123—1341no—
1296#123—1341no—
1297#123—1341no—
1298#123—1341no—
1299C22⋊Q8—21no—
1300C22⋊Q8—671no—
1301C22⋊Q8—671no—
1302C22⋊Q8—671no—
1303C22⋊Q8—671no—
1304C22⋊Q8—671no—
1305C22⋊Q8—671no—
1306C22⋊Q8—671no—
1307C22⋊Q8—671no—
1308C22⋊Q8—671no—
1309C22⋊Q8—1341no—
1310C22⋊Q8—1341no—
1311C22⋊Q8—1341no—
1312C22⋊Q8—1341no—
1313C22⋊Q8—1341no—
1314C22⋊Q8—1341no—
1315C22⋊Q8—1341no—
1316C22⋊Q8—1341no—
1317C22⋊Q8—1341no—
1318C22⋊Q8—1341no—
1319C22⋊Q8—1341no—
1320C22⋊Q8—1341no—
1321C22⋊Q8—1341no—
1322C22⋊Q8C22×D6711yescharacteristic
1323#121—21no—
1324#121—21no—
1325#121—671no—
1326#121—671no—
1327#121—671no—
1328#121—671no—
1329#121—671no—
1330#121—671no—
1331#121—671no—
1332#121—671no—
1333#121—671no—
1334#121—671no—
1335#121—671no—
1336#121—671no—
1337#121—671no—
1338#121—1341no—
1339#121—1341no—
1340#121—1341no—
1341#121—1341no—
1342#121—1341no—
1343#121—1341no—
1344#121—1341no—
1345#121—1341no—
1346#121—1341no—
1347#121—1341no—
1348#121—1341no—
1349#121—1341no—
1350#121—1341no—
1351#121—1341no—
1352#121—1341no—
1353#121—1341no—
1354#121—1341no—
1355#121—1341no—
1356#121—1341no—
1357#121—1341no—
1358#121C22×D6711yescharacteristic
1359#120—21no—
1360#120—21no—
1361#120—671no—
1362#120—671no—
1363#120—1341no—
1364#120—1341no—
1365#120—1341no—
1366#120—1341no—
1367#120—1341no—
1368#120—1341no—
1369#120—1341no—
1370#120—1341no—
1371#120—1341no—
1372#120—1341no—
1373#120—1341no—
1374#120—1341no—
1375#120—1341no—
1376#120—1341no—
1377#120—1341no—
1378#120—1341no—
1379#120—1341no—
1380C4×Q8—671no—
1381C4×Q8C22×D6711yescharacteristic, complemented
1382C4×D4—671no—
1383C4×D4—671no—
1384C4×D4—671no—
1385C4×D4—671no—
1386C4×D4—671no—
1387C4×D4—671no—
1388C4×D4—671no—
1389C4×D4—671no—
1390C4×D4—671no—
1391C4×D4—1341no—
1392C4×D4—1341no—
1393C4×D4—1341no—
1394C4×D4—1341no—
1395C4×D4—1341no—
1396C4×D4—1341no—
1397C4×D4—1341no—
1398C4×D4—1341no—
1399C4×D4C22×D6711yescharacteristic, complemented
1400#117—671no—
1401#117C22×D6711yescharacteristic
1402C2×C4⋊C4—671no—
1403C2×C4⋊C4—671no—
1404C2×C4⋊C4—671no—
1405C2×C4⋊C4—671no—
1406C2×C4⋊C4—1341no—
1407C2×C22⋊C4—1341no—
1408C2×C22⋊C4—1341no—
1409C2×C22⋊C4—1341no—
1410C2×C22⋊C4—1341no—
1411C2×C22⋊C4—1341no—
1412C2×C22⋊C4—1341no—
1413C2×C22⋊C4—1341no—
1414C2×C22⋊C4—1341no—
1415C2×C22⋊C4—1341no—
1416C2×C22⋊C4—1341no—
1417#107—671no—
1418#107—671no—
1419#107—671no—
1420#107—671no—
1421#106—671no—
1422#106—671no—
1423#106—671no—
1424#106—671no—
1425C4⋊C8—671no—
1426C4⋊C8—671no—
1427C4⋊C8C22×D6711yescharacteristic, complemented
1428C4⋊C8C22×D6711yescharacteristic, complemented
1429#103—671no—
1430#103—671no—
1431#103—671no—
1432#103—671no—
1433#103—671no—
1434#103—671no—
1435#103C22×D6711yescharacteristic, complemented
1436#103C22×D6711yescharacteristic, complemented
1437#102—671no—
1438#102—671no—
1439#102—671no—
1440#102—671no—
1441#102—671no—
1442#102—671no—
1443#102—671no—
1444#102—671no—
1445#102—671no—
1446#102—671no—
1447#102—671no—
1448#102—671no—
1449#102—671no—
1450#102—671no—
1451#102—671no—
1452#102—671no—
1453#102—671no—
1454#102—671no—
1455#102C22×D6711yescharacteristic
1456#102C22×D6711yescharacteristic
1457#102C22×D6711yescharacteristic
1458#102C22×D6711yescharacteristic
1459#102C22×D6711yescharacteristic, complemented
1460#102C22×D6711yescharacteristic, complemented
1461C22⋊C8—671no—
1462C22⋊C8—671no—
1463C22⋊C8—671no—
1464C22⋊C8—671no—
1465C22⋊C8—671no—
1466C22⋊C8—671no—
1467C22⋊C8—671no—
1468C22⋊C8—671no—
1469C22⋊C8—671no—
1470C22⋊C8—671no—
1471C22⋊C8C22×D6711yescharacteristic
1472C22⋊C8C22×D6711yescharacteristic
1473#97—671no—
1474#97C22×D6711yescharacteristic, complemented
1475C4×C8—671no—
1476C4×C8C22×D6711yescharacteristic, complemented
1477C24—21no—
1478C24—2684no—
1479C24—5362no—
1480C24—5362no—
1481C24—671no—
1482C24—1341no—
1483C24—1341no—
1484C24—1341no—
1485C24—1341no—
1486C24—1341no—
1487C24—1341no—
1488C24—1341no—
1489C24—1341no—
1490#41—41no—
1491#41—41no—
1492#41—2681no—
1493#41—2681no—
1494#41—2684no—
1495#41—2681no—
1496#41—2681no—
1497#41—2681no—
1498#41—2681no—
1499#41—2681no—
1500#41—2681no—
1501#41—5362no—
1502#41—5362no—
1503#41—1342no—
1504#41—1342no—
1505C2×Q8—21no—
1506C2×Q8—2681no—
1507C2×Q8—2681no—
1508C2×Q8—671no—
1509C2×Q8—671no—
1510C2×Q8—1341no—
1511C2×Q8—1341no—
1512C2×Q8C23×D6711yescharacteristic
1513C2×Q8C23×D6711yescharacteristic
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—41no—
1522C2×D4—41no—
1523C2×D4—2684no—
1524C2×D4—2684no—
1525C2×D4—2684no—
1526C2×D4—2684no—
1527C2×D4—2684no—
1528C2×D4—2684no—
1529C2×D4—2681no—
1530C2×D4—2681no—
1531C2×D4—2681no—
1532C2×D4—2681no—
1533C2×D4—2681no—
1534C2×D4—2681no—
1535C2×D4—2681no—
1536C2×D4—2681no—
1537C2×D4—5362no—
1538C2×D4—5362no—
1539C2×D4—5362no—
1540C2×D4—5362no—
1541C2×D4—5362no—
1542C2×D4—671no—
1543C2×D4—671no—
1544C2×D4—671no—
1545C2×D4—671no—
1546C2×D4—671no—
1547C2×D4—671no—
1548C2×D4—671no—
1549C2×D4—671no—
1550C2×D4—671no—
1551C2×D4—671no—
1552C2×D4—1341no—
1553C2×D4—1341no—
1554C2×D4—1341no—
1555C2×D4—1341no—
1556C2×D4—1341no—
1557C2×D4—1342no—
1558C2×D4—1342no—
1559C2×D4—1341no—
1560C2×D4—1341no—
1561C2×D4—1341no—
1562C2×D4—1341no—
1563C2×D4—1341no—
1564C2×D4—1341no—
1565C2×D4—1341no—
1566C2×D4—1342no—
1567C2×D4—1342no—
1568C2×D4—1342no—
1569C2×D4—1342no—
1570C2×D4—1342no—
1571C2×D4—1342no—
1572C2×D4—1341no—
1573C2×D4—1341no—
1574C2×D4—1341no—
1575C2×D4—1341no—
1576C2×D4—1341no—
1577C2×D4—1341no—
1578C2×D4—1341no—
1579C2×D4—1341no—
1580C2×D4—1341no—
1581C2×D4—1341no—
1582C2×D4—1341no—
1583C2×D4C23×D6711yescharacteristic
1584C2×D4C23×D6711yescharacteristic
1585C2×D4C23×D6711yescharacteristic
1586C2×D4C23×D6711yescharacteristic
1587C22×C4—21no—
1588C22×C4—21no—
1589C22×C4—2681no—
1590C22×C4—2681no—
1591C22×C4—671no—
1592C22×C4—671no—
1593C22×C4—671no—
1594C22×C4—671no—
1595C22×C4—671no—
1596C22×C4—671no—
1597C22×C4—671no—
1598C22×C4—1341no—
1599C22×C4—1341no—
1600C22×C4—1341no—
1601C22×C4—1341no—
1602C22×C4—1341no—
1603C22×C4—1341no—
1604C22×C4—1341no—
1605C22×C4—1341no—
1606C22×C4—1341no—
1607C22×C4—1341no—
1608C22×C4—1341no—
1609C22×C4—1341no—
1610C22×C4—1341no—
1611C22×C4—1341no—
1612C22×C4C23×D6711yescharacteristic
1613Q16—41no—
1614Q16—2681no—
1615SD16—41no—
1616SD16—41no—
1617SD16—41no—
1618SD16—41no—
1619SD16—2681no—
1620SD16—2681no—
1621SD16—2681no—
1622SD16—2681no—
1623SD16—1342no—
1624SD16—1342no—
1625SD16—1342no—
1626SD16—1342no—
1627D8—41no—
1628D8—41no—
1629D8—41no—
1630D8—2681no—
1631D8—2681no—
1632D8—2681no—
1633D8—1342no—
1634D8—1342no—
1635D8—1342no—
1636D8—1342no—
1637M16—2681no—
1638M16—2681no—
1639C2×C8—2681no—
1640C2×C8—2681no—
1641C2×C8—2681no—
1642C2×C8—2681no—
1643C2×C8—2681no—
1644C2×C8—2681no—
1645C2×C8—671no—
1646C2×C8—671no—
1647C2×C8—671no—
1648C2×C8—671no—
1649C2×C8C23×D6711yescharacteristic
1650C2×C8C23×D6711yescharacteristic
1651C2×C8C23×D6711yescharacteristic
1652C2×C8C23×D6711yescharacteristic
1653C4⋊C4—21no—
1654C4⋊C4—21no—
1655C4⋊C4—21no—
1656C4⋊C4—671no—
1657C4⋊C4—671no—
1658C4⋊C4—671no—
1659C4⋊C4—671no—
1660C4⋊C4—671no—
1661C4⋊C4—671no—
1662C4⋊C4—671no—
1663C4⋊C4—671no—
1664C4⋊C4—1341no—
1665C4⋊C4—1341no—
1666C4⋊C4—1341no—
1667C4⋊C4—1341no—
1668C4⋊C4—1341no—
1669C4⋊C4—1341no—
1670C4⋊C4—1341no—
1671C4⋊C4—1341no—
1672C4⋊C4—1341no—
1673C4⋊C4—1341no—
1674C4⋊C4—1341no—
1675C4⋊C4—1341no—
1676C4⋊C4—1341no—
1677C4⋊C4D4×D6711yescharacteristic
1678C4⋊C4D4×D6711yescharacteristic
1679C4⋊C4C23×D6711yescharacteristic
1680C4⋊C4C23×D6711yescharacteristic
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—671no—
1691C22⋊C4—671no—
1692C22⋊C4—671no—
1693C22⋊C4—671no—
1694C22⋊C4—671no—
1695C22⋊C4—671no—
1696C22⋊C4—671no—
1697C22⋊C4—671no—
1698C22⋊C4—1341no—
1699C22⋊C4—1341no—
1700C22⋊C4—1341no—
1701C22⋊C4—1341no—
1702C22⋊C4—1341no—
1703C22⋊C4—1341no—
1704C22⋊C4—1341no—
1705C22⋊C4—1341no—
1706C22⋊C4—1341no—
1707C22⋊C4—1341no—
1708C22⋊C4—1341no—
1709C22⋊C4—1341no—
1710C22⋊C4—1341no—
1711C22⋊C4—1341no—
1712C22⋊C4—1341no—
1713C22⋊C4—1341no—
1714C22⋊C4—1341no—
1715C22⋊C4—1341no—
1716C22⋊C4—1341no—
1717C22⋊C4—1341no—
1718C22⋊C4—1341no—
1719C22⋊C4—1341no—
1720C22⋊C4—1341no—
1721C22⋊C4—1341no—
1722C22⋊C4—1341no—
1723C22⋊C4—1341no—
1724C22⋊C4D4×D6711yescharacteristic
1725C22⋊C4D4×D6711yescharacteristic
1726C42—21no—
1727C42—1341no—
1728C42—1341no—
1729C42C23×D6711yescharacteristic
1730C42C23×D6711yescharacteristic
1731C23—21no—
1732C23—21no—
1733C23—21no—
1734C23—21no—
1735C23—42no—
1736C23—81no—
1737C23—81no—
1738C23—2681no—
1739C23—2682no—
1740C23—2682no—
1741C23—2682no—
1742C23—2682no—
1743C23—2682no—
1744C23—2682no—
1745C23—2682no—
1746C23—2682no—
1747C23—2682no—
1748C23—2682no—
1749C23—2682no—
1750C23—5361no—
1751C23—5361no—
1752C23—5361no—
1753C23—5361no—
1754C23—5361no—
1755C23—5361no—
1756C23—5361no—
1757C23—5361no—
1758C23—5361no—
1759C23—5361no—
1760C23—5361no—
1761C23—5361no—
1762C23—53616no—
1763C23—671no—
1764C23—671no—
1765C23—671no—
1766C23—671no—
1767C23—1342no—
1768C23—1342no—
1769C23—1344no—
1770C23—1341no—
1771C23—1341no—
1772C23—1341no—
1773C23C2×D4×D6711yescharacteristic
1774Q8—21no—
1775Q8—21no—
1776Q8—21no—
1777Q8—21no—
1778Q8—81no—
1779Q8—2681no—
1780Q8—5361no—
1781Q8—5361no—
1782Q8—1341no—
1783Q8—1341no—
1784D4—21no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—21no—
1791D4—21no—
1792D4—42no—
1793D4—42no—
1794D4—81no—
1795D4—81no—
1796D4—81no—
1797D4—81no—
1798D4—81no—
1799D4—2681no—
1800D4—2682no—
1801D4—2682no—
1802D4—2682no—
1803D4—2682no—
1804D4—2682no—
1805D4—2682no—
1806D4—2681no—
1807D4—2681no—
1808D4—2682no—
1809D4—2682no—
1810D4—2682no—
1811D4—2682no—
1812D4—2682no—
1813D4—2682no—
1814D4—5361no—
1815D4—5361no—
1816D4—5361no—
1817D4—5361no—
1818D4—5361no—
1819D4—5361no—
1820D4—5361no—
1821D4—5361no—
1822D4—5361no—
1823D4—5361no—
1824D4—672no—
1825D4—672no—
1826D4—1342no—
1827D4—1342no—
1828D4—1342no—
1829D4—1342no—
1830D4—1344no—
1831D4—1341no—
1832D4—1341no—
1833D4—1341no—
1834D4—1341no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—42no—
1842C2×C4—81no—
1843C2×C4—2681no—
1844C2×C4—2681no—
1845C2×C4—2682no—
1846C2×C4—2682no—
1847C2×C4—2682no—
1848C2×C4—2681no—
1849C2×C4—5361no—
1850C2×C4—5361no—
1851C2×C4—5361no—
1852C2×C4—5361no—
1853C2×C4—5361no—
1854C2×C4—5361no—
1855C2×C4—5361no—
1856C2×C4—5361no—
1857C2×C4—5361no—
1858C2×C4—5361no—
1859C2×C4—5361no—
1860C2×C4—671no—
1861C2×C4—671no—
1862C2×C4—671no—
1863C2×C4—671no—
1864C2×C4—1341no—
1865C2×C4—1341no—
1866C2×C4—1341no—
1867C2×C4—1341no—
1868C2×C4—1341no—
1869C2×C4—1341no—
1870C2×C4—1341no—
1871C2×C4—1341no—
1872C2×C4—1341no—
1873C2×C4—1341no—
1874C2×C4—1341no—
1875C2×C4—1341no—
1876C2×C4—1341no—
1877C2×C4C2×D4×D6711yescharacteristic
1878C2×C4C2×D4×D6711yescharacteristic
1879C2×C4C2×D4×D6711yescharacteristic
1880C2×C4C2×D4×D6711yescharacteristic
1881C2×C4C2×D4×D6711yescharacteristic
1882C2×C4C24×D6711yescharacteristic
1883C8—21no—
1884C8—21no—
1885C8—21no—
1886C8—21no—
1887C8—1341no—
1888C8—1341no—
1889C8—1341no—
1890C8—1341no—
1891C22—21no—
1892C22—21no—
1893C22—21no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—84no—
1907C22—2684no—
1908C22—2681no—
1909C22—2681no—
1910C22—2681no—
1911C22—2681no—
1912C22—2681no—
1913C22—2681no—
1914C22—2681no—
1915C22—5364no—
1916C22—5364no—
1917C22—5364no—
1918C22—5364no—
1919C22—5364no—
1920C22—10722no—
1921C22—10722no—
1922C22—10722no—
1923C22—672no—
1924C22—672no—
1925C22—1342no—
1926C22—1342no—
1927C22—1341no—
1928C22—1341no—
1929C22—1341no—
1930C22—1341no—
1931C22—1341no—
1932C22—1341no—
1933C22—1341no—
1934C22—1341no—
1935C22—1341no—
1936C22—1341no—
1937C22C22×D4×D6711yescharacteristic
1938C4—21no—
1939C4—21no—
1940C4—21no—
1941C4—21no—
1942C4—21no—
1943C4—41no—
1944C4—41no—
1945C4—41no—
1946C4—41no—
1947C4—2681no—
1948C4—2681no—
1949C4—2681no—
1950C4—2681no—
1951C4—2681no—
1952C4—1341no—
1953C4—1341no—
1954C4—1341no—
1955C4—1341no—
1956C4H(5,𝔽2)×D6711yescharacteristic
1957C4H(5,𝔽2)×D6711yescharacteristic
1958C2—41no—
1959C2—81no—
1960C2—81no—
1961C2—81no—
1962C2—81no—
1963C2—2682no—
1964C2—2682no—
1965C2—2681no—
1966C2—2681no—
1967C2—5361no—
1968C2—1342no—
1969C2—1342no—
1970C2#2257384311yescharacteristic
1971C2#576×D6711yescharacteristic
1972C2#577×D6711yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3224C2
socleC22×C67C23×D4
hypercenter#3224D67
hypocenterC67#61629
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #22574434C2semidirect
2. #22573843C2semidirect
3. #22572297C2semidirect
4. #22572289C2semidirect
5. #22572177C2semidirect
6. #22572169C2semidirect
7. #22572036C2semidirect
8. #22572032C2semidirect
9. #22572025C2semidirect
10. #22572021C2semidirect
11. #22571915C2semidirect
12. #22571911C2semidirect
13. #22571893C2semidirect
14. #22571889C2semidirect
15. #22571703C2semidirect
16. #22571699C2semidirect
17. #22571688C2semidirect
18. #22571684C2semidirect
19. #22571303C2semidirect
20. #22571065C2semidirect
21. #22571057C2semidirect
22. #22570988C2semidirect
23. #22570972C2semidirect
24. #22570395C2semidirect
25. #22570387C2semidirect
26. #22569517C2semidirect
27. #22569511C2semidirect
28. #450×D67C2semidirect
29. #447×D67C2semidirect
30. #22569264C2semidirect
31. C67×#3224C2semidirect
32. C2×#14524089C22semidirect
34. C2×#14524070C22semidirect
35. C2×#14524067C22semidirect
36. C2×#14524066C22semidirect
37. C2×#14524064C22semidirect
38. C2×SD16×D67C22semidirect
39. C2×SD16×D67C22semidirect
40. C2×D8×D67C22semidirect
41. C2×D8×D67C22semidirect
44. #16864107C22semidirect
45. #16864106C22semidirect
46. #16864058C22semidirect
47. #16864054C22semidirect
48. #16864051C22semidirect
49. #16864049C22semidirect
52. #16864041C22semidirect
56. #16864039C22semidirect
57. #16864039C22semidirect
58. #16864039C22semidirect
62. #16864031C22semidirect
63. #16864031C22semidirect
67. #16864017C22semidirect
71. #16863976C22semidirect
72. #16863975C22semidirect
73. #16863963C22semidirect
78. C22⋊Q8×D67C22semidirect
79. #121×D67C22semidirect
82. #16863870C22semidirect
83. #16863783C22semidirect
84. #16863778C22semidirect
85. #16863755C22semidirect
86. #16863742C22semidirect
87. #16863738C22semidirect
88. #16863734C22semidirect
89. #16863730C22semidirect
90. #16863725C22semidirect
91. #16863721C22semidirect
92. #16863717C22semidirect
93. #16863713C22semidirect
94. #16863713C22semidirect
95. #16863713C22semidirect
96. #16863708C22semidirect
97. #16863708C22semidirect
98. #16863708C22semidirect
99. #16863687C22semidirect
100. #16863683C22semidirect
101. #16863677C22semidirect
102. #16863673C22semidirect
103. #16863648C22semidirect
104. #16863646C22semidirect
105. #16863641C22semidirect
106. #16863639C22semidirect
107. #16863636C22semidirect
108. #16863634C22semidirect
109. #16863631C22semidirect
110. #16863631C22semidirect
111. #16863629C22semidirect
112. #16863629C22semidirect
113. #16863628C22semidirect
114. #16863624C22semidirect
115. #16863624C22semidirect
116. #16863622C22semidirect
117. #16863622C22semidirect
118. #16863622C22semidirect
119. #16863615C22semidirect
120. #16863612C22semidirect
121. #16863612C22semidirect
122. #16863608C22semidirect
123. #16863608C22semidirect
124. #16863608C22semidirect
125. #16863593C22semidirect
126. #16863588C22semidirect
127. #16863561C22semidirect
128. #16863558C22semidirect
129. #16863557C22semidirect
130. #16863550C22semidirect
131. #16863549C22semidirect
132. #16863548C22semidirect
133. #16863548C22semidirect
134. #16863548C22semidirect
135. #16863547C22semidirect
136. #16863546C22semidirect
137. #16863545C22semidirect
138. #16863545C22semidirect
139. #16863545C22semidirect
140. #16863545C22semidirect
141. #16863544C22semidirect
142. #16863541C22semidirect
143. #16863540C22semidirect
144. #16863540C22semidirect
145. #16863540C22semidirect
146. #16863538C22semidirect
147. #16863538C22semidirect
148. #16863533C22semidirect
150. #16863531C22semidirect
151. #16863531C22semidirect
152. #16863531C22semidirect
153. #16863530C22semidirect
155. #16863528C22semidirect
156. #16863528C22semidirect
157. #16863528C22semidirect
158. #16863528C22semidirect
159. #16863509C22semidirect
160. #16863506C22semidirect
161. #16863498C22semidirect
162. #16863494C22semidirect
163. C4×#11761617C22semidirect
164. C4×#11761615C22semidirect
165. C4×D536C22semidirect
166. C4×#11761613C22semidirect
167. #16863469C22semidirect
168. #16863469C22semidirect
169. #16863466C22semidirect
170. #16863466C22semidirect
171. C8×D268C22semidirect
172. C8×D268C22semidirect
173. #16863461C22semidirect
174. #16863461C22semidirect
175. #16863457C22semidirect
176. #16863396C22semidirect
177. #16863396C22semidirect
178. #102×D67C22semidirect
179. #102×D67C22semidirect
180. #102×D67C22semidirect
181. #102×D67C22semidirect
182. #102×D67C22semidirect
183. #102×D67C22semidirect
184. #16863361C22semidirect
185. #16863361C22semidirect
186. C22⋊C8×D67C22semidirect
187. C22⋊C8×D67C22semidirect
188. #542×C67C22semidirect
189. #535×C67C22semidirect
190. #496×C67C22semidirect
191. #495×C67C22semidirect
192. #489×C67C22semidirect
193. #486×C67C22semidirect
194. #464×C67C22semidirect
195. #463×C67C22semidirect
196. #460×C67C22semidirect
197. #459×C67C22semidirect
198. #452×C67C22semidirect
199. #450×C67C22semidirect
200. #449×C67C22semidirect
201. #447×C67C22semidirect
202. #433×C67C22semidirect
209. C2×#11761629C23semidirect
213. C2×#11761627C23semidirect
241. C2×#11761618C23semidirect
246. C2×#11761616C23semidirect
249. C2×#11761615C23semidirect
258. C2×#11761613C23semidirect
261. C2×#11761611C23semidirect
262. C2×#11761611C23semidirect
267. C2×C8×D67C23semidirect
268. C2×C8×D67C23semidirect
269. #14524043C23semidirect
275. #14524031C23semidirect
297. #14524023C23semidirect
314. #14524019C23semidirect
320. #14524018C23semidirect
347. #14524014C23semidirect
367. C4×Dic134C23semidirect
378. C4×D268C23semidirect
389. C4⋊C4×D67C23semidirect
390. C4⋊C4×D67C23semidirect
401. #14523977C23semidirect
402. #14523977C23semidirect
403. #14523976C23semidirect
404. #14523976C23semidirect
405. #14523975C23semidirect
406. #14523975C23semidirect
407. #14523974C23semidirect
408. #14523974C23semidirect
409. C4⋊(C67⋊C8)C23semidirect
410. C4⋊(C67⋊C8)C23semidirect
411. #14523968C23semidirect
412. #14523968C23semidirect
413. #14523967C23semidirect
414. #14523967C23semidirect
415. #14523967C23semidirect
416. #14523967C23semidirect
421. #14523965C23semidirect
422. #14523965C23semidirect
427. #14523964C23semidirect
428. #14523964C23semidirect
429. #14523964C23semidirect
430. #14523964C23semidirect
441. (C2×D67)⋊C8C23semidirect
442. (C2×D67)⋊C8C23semidirect
443. (C2×D67)⋊C8C23semidirect
444. (C2×D67)⋊C8C23semidirect
445. #14523954C23semidirect
446. C4×C67⋊C8C23semidirect
449. C2×Q16×C67C23semidirect
452. C2×SD16×C67C23semidirect
453. C2×SD16×C67C23semidirect
456. C2×D8×C67C23semidirect
457. C4⋊Q8×C67C23semidirect
464. #124×C67C23semidirect
473. C4×Q8×C67C23semidirect
474. C4×D4×C67C23semidirect
476. C4⋊C8×C67C23semidirect
477. C4⋊C8×C67C23semidirect
478. #103×C67C23semidirect
479. #103×C67C23semidirect
484. #102×C67C23semidirect
485. #102×C67C23semidirect
488. #97×C67C23semidirect
489. C4×C8×C67C23semidirect
1006. #3224D67semidirect
1018. C67#61629semidirect
1055. #542C2×D67semidirect
1062. #535C2×D67semidirect
1073. #496C2×D67semidirect
1075. #495C2×D67semidirect
1077. #489C2×D67semidirect
1079. #486C2×D67semidirect
1113. #464C2×D67semidirect
1119. #463C2×D67semidirect
1121. #460C2×D67semidirect
1123. #459C2×D67semidirect
1127. #452C2×D67semidirect
1139. #450C2×D67semidirect
1147. #449C2×D67semidirect
1159. #447C2×D67semidirect
1177. #433C2×D67semidirect
1231. C2×Q16C22×D67semidirect
1244. C2×SD16C22×D67semidirect
1245. C2×SD16C22×D67semidirect
1257. C2×D8C22×D67semidirect
1267. C4⋊Q8C22×D67semidirect
1283. #124C22×D67semidirect
1381. C4×Q8C22×D67semidirect
1399. C4×D4C22×D67semidirect
1427. C4⋊C8C22×D67semidirect
1428. C4⋊C8C22×D67semidirect
1435. #103C22×D67semidirect
1436. #103C22×D67semidirect
1459. #102C22×D67semidirect
1460. #102C22×D67semidirect
1474. #97C22×D67semidirect
1476. C4×C8C22×D67semidirect

Maximal subgroups

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

subgroupindex
#225744342
#225738432
#225722972
#225722892
#225721772
#225721692
#225720362
#225720322
#225720252
#225720212
#225719152
#225719112
#225718932
#225718892
#225717032
#225716992
#225716882
#225716842
#225713032
#225710652
#225710572
#225709882
#225709722
#225703952
#225703872
#225695172
#225695112
#450×D672
#447×D672
#225692642
C67×#32242
#6162967