Finite Group Databasebeta

← #31741409

Subgroups — #31741409

Order 17152.

2226 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574508C211yesmaximal, characteristic, complemented
2#22573843C211yesmaximal, characteristic, complemented
3#22572443C211yesmaximal, characteristic, complemented
4#22572424C211yesmaximal, characteristic, complemented
5#22572349C211yesmaximal, characteristic, complemented
6#22572297C211yesmaximal, characteristic, complemented
7#22572252C211yesmaximal, characteristic, complemented
8#22572229C211yesmaximal, characteristic, complemented
9#22572058C211yesmaximal, characteristic, complemented
10#22572036C211yesmaximal, characteristic, complemented
11#22571911C211yesmaximal, characteristic, complemented
12#22571904C211yesmaximal, characteristic, complemented
13#22571835C211yesmaximal, characteristic, complemented
14#22571808C211yesmaximal, characteristic, complemented
15#22571733C211yesmaximal, characteristic, complemented
16#22571718C211yesmaximal, characteristic, complemented
17#22571699C211yesmaximal, characteristic, complemented
18#22571699C211yesmaximal, characteristic, complemented
19#22571303C211yesmaximal, characteristic, complemented
20#22571078C211yesmaximal, characteristic, complemented
21#22571065C211yesmaximal, characteristic, complemented
22#22571037C211yesmaximal, characteristic, complemented
23#22571001C211yesmaximal, characteristic, complemented
24#22570456C211yesmaximal, characteristic, complemented
25#22570395C211yesmaximal, characteristic, complemented
26#22569517C211yesmaximal, characteristic, complemented
27#22569483C211yesmaximal, characteristic, complemented
28#22569437C211yesmaximal, characteristic, complemented
29#450×D67C211yesmaximal, characteristic, complemented
30#22569255C211yesmaximal, characteristic, complemented
31C67×#3222C211yesmaximal, characteristic, complemented
32C2×#14524089C2211yescharacteristic
33C22×D4×D67C2211yescharacteristic
34C2×#14524075C2211yescharacteristic, complemented
35C2×#14524070C2211yescharacteristic, complemented
36C2×#14524070C2211yescharacteristic, complemented
37C2×#14524070C2211yescharacteristic, complemented
38C2×#14524066C2211yescharacteristic, complemented
39C2×SD16×D67C2211yescharacteristic, complemented
40C2×SD16×D67C2211yescharacteristic, complemented
41C2×SD16×D67C2211yescharacteristic, complemented
42#16864150—21no—
43#16864144—21no—
44#16864119C2211yescharacteristic, complemented
45#16864106C2211yescharacteristic, complemented
46#16864102—21no—
47#16864099—21no—
48#16864099C2211yescharacteristic, complemented
49#16864084C2211yescharacteristic, complemented
50#16864061C2211yescharacteristic, complemented
51#16864058C2211yescharacteristic, complemented
52#16864058C2211yescharacteristic, complemented
53#16864049C2211yescharacteristic, complemented
54#16864043—21no—
55#16864043—21no—
56#16864039C2211yescharacteristic
57#16864039C2211yescharacteristic
58#16864039C2211yescharacteristic
59#16864039C2211yescharacteristic
60#16864031C2211yescharacteristic
61#16864031C2211yescharacteristic
62#16864031C2211yescharacteristic
63#16864031C2211yescharacteristic
64#16864030—21no—
65#16864030—21no—
66#16864017C2211yescharacteristic, complemented
67#16864012—21no—
68#16863987—21no—
69#16863985—21no—
70#16863985—21no—
71#16863976C2211yescharacteristic, complemented
72#16863969C2211yescharacteristic, complemented
73#16863963C2211yescharacteristic
74#16863956—21no—
75#16863956—21no—
76#16863909C2211yescharacteristic, complemented
77#16863908C2211yescharacteristic
78#16863903C2211yescharacteristic
79C22⋊Q8×D67C2211yescharacteristic, complemented
80#120×D67—21no—
81#120×D67—21no—
82#16863870C2211yescharacteristic
83#16863783C2211yescharacteristic, complemented
84#16863778C2211yescharacteristic, complemented
85#16863755C2211yescharacteristic, complemented
86#16863742C2211yescharacteristic, complemented
87#16863738C2211yescharacteristic, complemented
88#16863735C2211yescharacteristic, complemented
89#16863734C2211yescharacteristic, complemented
90#16863734C2211yescharacteristic, complemented
91#16863730C2211yescharacteristic, complemented
92#16863721C2211yescharacteristic, complemented
93#16863719C2211yescharacteristic, complemented
94#16863718C2211yescharacteristic, complemented
95#16863718C2211yescharacteristic, complemented
96#16863713C2211yescharacteristic, complemented
97#16863713C2211yescharacteristic, complemented
98#16863708C2211yescharacteristic, complemented
99#16863693C2211yescharacteristic, complemented
100#16863693C2211yescharacteristic, complemented
101#16863687C2211yescharacteristic, complemented
102#16863677C2211yescharacteristic, complemented
103#16863653C2211yescharacteristic, complemented
104#16863651C2211yescharacteristic, complemented
105#16863648C2211yescharacteristic, complemented
106#16863641C2211yescharacteristic, complemented
107#16863641C2211yescharacteristic, complemented
108#16863639C2211yescharacteristic, complemented
109#16863639C2211yescharacteristic, complemented
110#16863639C2211yescharacteristic, complemented
111#16863634C2211yescharacteristic, complemented
112#16863631C2211yescharacteristic, complemented
113#16863631C2211yescharacteristic, complemented
114#16863628C2211yescharacteristic, 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#16863598C2211yescharacteristic, complemented
124#16863598C2211yescharacteristic, complemented
125#16863593C2211yescharacteristic, complemented
126#16863588C2211yescharacteristic, complemented
127#16863561C2211yescharacteristic, complemented
128#16863558C2211yescharacteristic, complemented
129#16863557C2211yescharacteristic, complemented
130#16863557C2211yescharacteristic, complemented
131#16863557C2211yescharacteristic, complemented
132#16863550C2211yescharacteristic, complemented
133#16863549C2211yescharacteristic
134#16863548C2211yescharacteristic, complemented
135#16863548C2211yescharacteristic, complemented
136#16863548C2211yescharacteristic, complemented
137#16863547C2211yescharacteristic, complemented
138#16863546C2211yescharacteristic
139#16863546C2211yescharacteristic
140#16863545C2211yescharacteristic, complemented
141#16863545C2211yescharacteristic, complemented
142#16863545C2211yescharacteristic, complemented
143#16863545C2211yescharacteristic, complemented
144#16863545C2211yescharacteristic, complemented
145#16863545C2211yescharacteristic, complemented
146#16863544C2211yescharacteristic, complemented
147#16863541C2211yescharacteristic, complemented
148#16863540C2211yescharacteristic, complemented
149#16863540C2211yescharacteristic, complemented
150#16863540C2211yescharacteristic, complemented
151#16863533C2211yescharacteristic, complemented
152#16863533C2211yescharacteristic, complemented
153#16863533C2211yescharacteristic, complemented
154#16863532C2211yescharacteristic
155#16863531C2211yescharacteristic, complemented
156#16863531C2211yescharacteristic, complemented
157#16863531C2211yescharacteristic, complemented
158#16863530C2211yescharacteristic, complemented
159#16863509C2211yescharacteristic, complemented
160#16863498C2211yescharacteristic, complemented
161#16863494C2211yescharacteristic, complemented
162#16863494C2211yescharacteristic, complemented
163C4×#11761617C2211yescharacteristic, complemented
164C4×#11761615C2211yescharacteristic, complemented
165C4×#11761615C2211yescharacteristic, complemented
166C4×D536C2211yescharacteristic, complemented
167#16863475C2211yescharacteristic, complemented
168#16863473C2211yescharacteristic, complemented
169#16863469C2211yescharacteristic, complemented
170#16863469C2211yescharacteristic, complemented
171#16863466C2211yescharacteristic, complemented
172#16863466C2211yescharacteristic, complemented
173C8×D268C2211yescharacteristic, complemented
174#16863461C2211yescharacteristic, complemented
175#16863457C2211yescharacteristic, complemented
176#16863399C2211yescharacteristic, complemented
177#16863399C2211yescharacteristic, complemented
178#16863399C2211yescharacteristic, complemented
179#16863396C2211yescharacteristic, complemented
180#16863391C2211yescharacteristic, complemented
181#102×D67C2211yescharacteristic, complemented
182#102×D67C2211yescharacteristic, complemented
183#102×D67C2211yescharacteristic, complemented
184#16863361C2211yescharacteristic, complemented
185#16863361C2211yescharacteristic, complemented
186#16863358C2211yescharacteristic, complemented
187C22⋊C8×D67C2211yescharacteristic, complemented
188#541×C67C2211yescharacteristic, complemented
189#535×C67C2211yescharacteristic
190#497×C67C2211yescharacteristic, complemented
191#492×C67C2211yescharacteristic, complemented
192#490×C67C2211yescharacteristic, complemented
193#488×C67C2211yescharacteristic, complemented
194#464×C67C2211yescharacteristic, complemented
195#464×C67C2211yescharacteristic, complemented
196#460×C67C2211yescharacteristic, complemented
197#460×C67C2211yescharacteristic, complemented
198#452×C67C2211yescharacteristic, complemented
199#452×C67C2211yescharacteristic, complemented
200#450×C67C2211yescharacteristic, complemented
201#450×C67C2211yescharacteristic, complemented
202#433×C67C2211yescharacteristic, complemented
203C24×D67—21no—
204#14524089—42no—
205#14524089—42no—
206C2×#11761629C2311yescharacteristic
207C2×#11761629C2311yescharacteristic
208C2×#11761629C2311yescharacteristic
209C2×#11761629C2311yescharacteristic, complemented
210C2×#11761628—21no—
211C2×#11761628C2311yescharacteristic
212C2×Q8×D67C2311yescharacteristic
213C2×Q8×D67C2311yescharacteristic, complemented
214C22×D268—21no—
215C22×D268C2311yescharacteristic
216C22×C22⋊D67—21no—
217C2×D4×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—42no—
226C2×D4×D67—42no—
227C2×D4×D67C2311yescharacteristic
228C2×D4×D67C2311yescharacteristic
229C2×D4×D67C2311yescharacteristic
230C2×D4×D67C2311yescharacteristic
231C2×D4×D67C2311yescharacteristic
232C2×D4×D67C2311yescharacteristic
233C22×C4×D67C2311yescharacteristic
234#14524075—42no—
235#14524070—42no—
236#14524070—42no—
237#14524070—42no—
238#14524066—42no—
239C2×#11761618C2311yescharacteristic, complemented
240C2×#11761617C2311yescharacteristic
241C2×#11761617C2311yescharacteristic
242C2×#11761616C2311yescharacteristic
243C2×#11761616C2311yescharacteristic
244C2×#11761616C2311yescharacteristic, complemented
245C2×#11761615C2311yescharacteristic
246C2×#11761615C2311yescharacteristic
247C2×#11761615C2311yescharacteristic
248C2×#11761615C2311yescharacteristic
249C2×#11761615C2311yescharacteristic, complemented
250SD16×D67—42no—
251SD16×D67—42no—
252SD16×D67—42no—
253C2×D536C2311yescharacteristic
254C2×D536C2311yescharacteristic
255C2×#11761613C2311yescharacteristic
256C2×#11761613C2311yescharacteristic
257C2×#11761613C2311yescharacteristic, complemented
258C2×#11761611C2311yescharacteristic
259C2×#11761611C2311yescharacteristic
260C2×#11761611C2311yescharacteristic, complemented
261C2×#11761611C2311yescharacteristic, complemented
262C2×C8×D67C2311yescharacteristic
263C2×C8×D67C2311yescharacteristic
264C2×C8×D67C2311yescharacteristic, complemented
265C2×C8×D67C2311yescharacteristic, complemented
266#14524043C2311yescharacteristic, complemented
267#14524042—21no—
268#14524042—21no—
269#14524039—21no—
270#14524038—21no—
271#14524038—21no—
272#14524038—21no—
273#14524038—21no—
274#14524038—21no—
275#14524035—21no—
276#14524034—21no—
277#14524031—21no—
278#14524031—21no—
279#14524031—21no—
280#14524031C2311yescharacteristic, complemented
281#14524030—21no—
282#14524029—21no—
283#14524029—21no—
284#14524028—21no—
285#14524028—21no—
286#14524028—21no—
287#14524028—21no—
288#14524028—21no—
289#14524028—21no—
290#14524027D411yescharacteristic
291#14524027D411yescharacteristic
292#14524025—21no—
293#14524025—21no—
294#14524025—21no—
295#14524025—21no—
296#14524025—21no—
297#14524025—21no—
298#14524024—21no—
299#14524023—21no—
300#14524023—21no—
301#14524023D411yescharacteristic
302#14524023D411yescharacteristic
303#14524023C2311yescharacteristic
304#14524023C2311yescharacteristic, complemented
305#14524022C2311yescharacteristic
306#14524021—21no—
307#14524021—21no—
308#14524021—21no—
309#14524021—21no—
310#14524021—21no—
311#14524021—21no—
312#14524021—21no—
313#14524020—21no—
314#14524019C2311yescharacteristic
315#14524019C2311yescharacteristic
316#14524019C2311yescharacteristic
317#14524019C2311yescharacteristic
318#14524019C2311yescharacteristic, complemented
319#14524019C2311yescharacteristic, complemented
320#14524018—21no—
321#14524018—21no—
322#14524018—21no—
323#14524018—21no—
324#14524018—21no—
325#14524018D411yescharacteristic
326#14524018D411yescharacteristic
327#14524018C2311yescharacteristic
328#14524018C2311yescharacteristic, complemented
329#14524017C2311yescharacteristic
330#14524016—21no—
331#14524016—21no—
332#14524016—21no—
333#14524016—21no—
334#14524016—21no—
335#14524016—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#14524013—21no—
347#14524013—21no—
348#14524013—21no—
349#14524013—21no—
350#14524013—21no—
351#14524013D411yescharacteristic
352#14524013D411yescharacteristic
353#14524012—21no—
354#14524012—21no—
355#14524011—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—
364C4×Dic134—21no—
365C4×Dic134C2311yescharacteristic, complemented
366C4×D268—21no—
367C4×D268—21no—
368C4×D268—21no—
369C4×D268C2311yescharacteristic
370C4×D268C2311yescharacteristic
371C4×D268C2311yescharacteristic
372C4×D268C2311yescharacteristic
373C4×D268C2311yescharacteristic
374C4×D268C2311yescharacteristic
375C4×D268C2311yescharacteristic
376C4×D268C2311yescharacteristic
377C4×D268C2311yescharacteristic, complemented
378#14524005—21no—
379#14524005—21no—
380#14524005—21no—
381#14524005—21no—
382#14524005—21no—
383C4×C22⋊D67—21no—
384C4×C22⋊D67—21no—
385(C22⋊D67)⋊C4—21no—
386#14524002C2311yescharacteristic
387#14524001—21no—
388#14524001C2311yescharacteristic
389#14524001C2311yescharacteristic, complemented
390C4⋊C4×D67—21no—
391C4⋊C4×D67—21no—
392C4⋊C4×D67C2311yescharacteristic
393C4⋊C4×D67C2311yescharacteristic, complemented
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#14523967C2311yescharacteristic, complemented
418#14523967C2311yescharacteristic, complemented
419#14523965C2311yescharacteristic
420#14523965C2311yescharacteristic
421#14523965C2311yescharacteristic
422#14523965C2311yescharacteristic
423#14523965C2311yescharacteristic, complemented
424#14523965C2311yescharacteristic, complemented
425#14523964C2311yescharacteristic
426#14523964C2311yescharacteristic
427#14523964C2311yescharacteristic
428#14523964C2311yescharacteristic
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×Q16×C67C2311yescharacteristic, complemented
451C2×SD16×C67C2311yescharacteristic
452C2×SD16×C67C2311yescharacteristic
453C2×SD16×C67C2311yescharacteristic
454C2×SD16×C67C2311yescharacteristic
455C2×SD16×C67C2311yescharacteristic, complemented
456C2×SD16×C67C2311yescharacteristic, complemented
457C4⋊Q8×C67C2311yescharacteristic, complemented
458#127×C67C2311yescharacteristic
459#127×C67C2311yescharacteristic
460#126×C67—21no—
461#126×C67—21no—
462#125×C67—21no—
463#125×C67—21no—
464#125×C67C2311yescharacteristic, complemented
465#124×C67C2311yescharacteristic
466#124×C67C2311yescharacteristic
467C22⋊Q8×C67C2311yescharacteristic
468C22⋊Q8×C67C2311yescharacteristic
469#121×C67—21no—
470#121×C67—21no—
471#120×C67—21no—
472#120×C67—21no—
473C4×Q8×C67C2311yescharacteristic, complemented
474C4×Q8×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—44no—
498C23×D67—82no—
499C23×D67—82no—
500C23×D67C2×D411yescharacteristic
501#11761629—22no—
502#11761629—22no—
503#11761629—41no—
504#11761629—41no—
505#11761629—41no—
506#11761629—41no—
507#11761629—41no—
508#11761629—41no—
509#11761628—41no—
510#11761628—41no—
511#11761628—44no—
512C2×Dic134—21no—
513C2×Dic134—21no—
514C2×Dic134—21no—
515C2×Dic134C2×D411yescharacteristic
516C2×Dic134C2411yescharacteristic
517Q8×D67—41no—
518Q8×D67—41no—
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—21no—
530C2×D268—44no—
531C2×D268C2×D411yescharacteristic
532C2×D268C2×D411yescharacteristic
533C2×D268C2×D411yescharacteristic
534C2×D268C2×D411yescharacteristic
535C2×D268C2×D411yescharacteristic
536C2×D268C2411yescharacteristic
537C2×D268C2411yescharacteristic
538C2×D268C2411yescharacteristic
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—44no—
553C2×C22⋊D67C2×D411yescharacteristic
554C2×C22⋊D67C2×D411yescharacteristic
555D4×D67—22no—
556D4×D67—22no—
557D4×D67—22no—
558D4×D67—22no—
559D4×D67—22no—
560D4×D67—22no—
561D4×D67—41no—
562D4×D67—41no—
563D4×D67—41no—
564D4×D67—41no—
565D4×D67—41no—
566D4×D67—41no—
567D4×D67—44no—
568D4×D67—44no—
569D4×D67—44no—
570D4×D67—44no—
571D4×D67—82no—
572D4×D67—82no—
573D4×D67—82no—
574D4×D67—82no—
575C22×Dic67C2×D411yescharacteristic
576C2×C4×D67—21no—
577C2×C4×D67—21no—
578C2×C4×D67—21no—
579C2×C4×D67—21no—
580C2×C4×D67—21no—
581C2×C4×D67—21no—
582C2×C4×D67—21no—
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—41no—
590C2×C4×D67—41no—
591C2×C4×D67C2×D411yescharacteristic
592C2×C4×D67C2×D411yescharacteristic
593C2×C4×D67C2411yescharacteristic
594C2×C4×D67C2411yescharacteristic
595C2×C4×D67C2411yescharacteristic
596C2×C4×D67C2411yescharacteristic
597#11761618—41no—
598#11761617—22no—
599#11761617—22no—
600#11761616—41no—
601#11761616—41no—
602#11761616—41no—
603#11761615—22no—
604#11761615—22no—
605#11761615—22no—
606#11761615—22no—
607#11761615—41no—
608D536—22no—
609D536—22no—
610#11761613—41no—
611#11761613—41no—
612#11761613—41no—
613#11761611—41no—
614#11761611—41no—
615#11761611—41no—
616#11761611—41no—
617C2×C67⋊C8C2411yescharacteristic
618C2×C67⋊C8C2411yescharacteristic
619C2×C67⋊C8C2411yescharacteristic
620C2×C67⋊C8C2411yescharacteristic
621C8×D67—41no—
622C8×D67—41no—
623C8×D67—41no—
624C8×D67—41no—
625C4⋊Dic67—21no—
626C4⋊Dic67—21no—
627C4⋊Dic67—21no—
628C4⋊Dic67C2×D411yescharacteristic
629C4⋊Dic67C2×D411yescharacteristic
630C4⋊Dic67C2×D411yescharacteristic
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⋊C4—21no—
642Dic67⋊C4—21no—
643Dic67⋊C4—21no—
644Dic67⋊C4—21no—
645Dic67⋊C4—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—
654(C2×D67)⋊C4—21no—
655(C2×D67)⋊C4—21no—
656(C2×D67)⋊C4—21no—
657(C2×D67)⋊C4—21no—
658(C2×D67)⋊C4—21no—
659(C2×D67)⋊C4—21no—
660(C2×D67)⋊C4—21no—
661(C2×D67)⋊C4—21no—
662(C2×D67)⋊C4—21no—
663(C2×D67)⋊C4—21no—
664(C2×D67)⋊C4—21no—
665(C2×D67)⋊C4—21no—
666(C2×D67)⋊C4—21no—
667(C2×D67)⋊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
680(C2×D67)⋊C4C2×D411yescharacteristic
681(C2×D67)⋊C4C2×D411yescharacteristic
682C4×Dic67—21no—
683C4×Dic67—21no—
684C4×Dic67—21no—
685C4×Dic67—21no—
686C24×C67—21no—
687#41×C67—41no—
688#41×C67—41no—
689C2×Q8×C67C2411yescharacteristic
690C2×Q8×C67C2411yescharacteristic
691C2×Q8×C67C2411yescharacteristic
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—41no—
699C2×D4×C67—41no—
700C2×D4×C67C2411yescharacteristic
701C2×D4×C67C2411yescharacteristic
702C2×D4×C67C2411yescharacteristic
703C22×C4×C67—21no—
704C22×C4×C67C2411yescharacteristic
705Q16×C67—41no—
706Q16×C67—41no—
707SD16×C67—41no—
708SD16×C67—41no—
709SD16×C67—41no—
710SD16×C67—41no—
711SD16×C67—41no—
712SD16×C67—41no—
713C2×C8×C67C2411yescharacteristic
714C2×C8×C67C2411yescharacteristic
715C2×C8×C67C2411yescharacteristic
716C2×C8×C67C2411yescharacteristic
717C4⋊C4×C67—21no—
718C4⋊C4×C67—21no—
719C4⋊C4×C67—21no—
720C4⋊C4×C67—21no—
721C4⋊C4×C67—21no—
722C4⋊C4×C67—21no—
723C4⋊C4×C67—21no—
724C4⋊C4×C67—21no—
725C4⋊C4×C67C2×D411yescharacteristic
726C4⋊C4×C67C2×D411yescharacteristic
727C4⋊C4×C67C2411yescharacteristic
728C4⋊C4×C67C2411yescharacteristic
729C22⋊C4×C67—21no—
730C22⋊C4×C67—21no—
731C22⋊C4×C67—21no—
732C22⋊C4×C67—21no—
733C22⋊C4×C67—21no—
734C22⋊C4×C67—21no—
735C22⋊C4×C67C2×D411yescharacteristic
736C22⋊C4×C67C2×D411yescharacteristic
737C42×C67—21no—
738C42×C67—21no—
739C42×C67C2411yescharacteristic
740C42×C67C2411yescharacteristic
741C23×C67—21no—
742C23×C67—21no—
743C23×C67—21no—
744C23×C67—42no—
745C23×C67—81no—
746C23×C67—81no—
747C23×C67C22×D411yescharacteristic
748C22×D67—21no—
749C22×D67—21no—
750C22×D67—24no—
751C22×D67—22no—
752C22×D67—21no—
753C22×D67—41no—
754C22×D67—41no—
755C22×D67—42no—
756C22×D67—42no—
757C22×D67—42no—
758C22×D67—42no—
759C22×D67—42no—
760C22×D67—42no—
761C22×D67—42no—
762C22×D67—42no—
763C22×D67—42no—
764C22×D67—42no—
765C22×D67—81no—
766C22×D67—81no—
767C22×D67—81no—
768C22×D67—81no—
769C22×D67—81no—
770C22×D67—81no—
771C22×D67—81no—
772C22×D67—81no—
773C22×D67—81no—
774C22×D67—81no—
775C22×D67—816no—
776C22×D67C22×D411yescharacteristic
777C22×D67C22×D411yescharacteristic
778C22×D67C22×D411yescharacteristic
779C22×D67C22×D411yescharacteristic
780Q8×C67—21no—
781Q8×C67—21no—
782Q8×C67—21no—
783Q8×C67—21no—
784Q8×C67—21no—
785Q8×C67—21no—
786D4×C67—21no—
787D4×C67—21no—
788D4×C67—21no—
789D4×C67—21no—
790D4×C67—21no—
791D4×C67—21no—
792D4×C67—42no—
793D4×C67—42no—
794D4×C67—81no—
795D4×C67—81no—
796D4×C67—81no—
797D4×C67—81no—
798C2×C4×C67—21no—
799C2×C4×C67—21no—
800C2×C4×C67—21no—
801C2×C4×C67—21no—
802C2×C4×C67—21no—
803C2×C4×C67—21no—
804C2×C4×C67—21no—
805C2×C4×C67—42no—
806C2×C4×C67C22×D411yescharacteristic
807C2×C4×C67C22×D411yescharacteristic
808C2×C4×C67C22×D411yescharacteristic
809C2×C4×C67C22×D411yescharacteristic
810C2×C4×C67C22×D411yescharacteristic
811C2×C4×C67C2511yescharacteristic
812C22⋊D67—41no—
813C22⋊D67—41no—
814C22⋊D67—42no—
815C22⋊D67—42no—
816C22⋊D67—42no—
817C22⋊D67—42no—
818C22⋊D67—42no—
819C22⋊D67—42no—
820C22⋊D67—42no—
821C22⋊D67—42no—
822C22⋊D67—81no—
823C22⋊D67—81no—
824C22⋊D67—81no—
825C22⋊D67—81no—
826C22⋊D67—81no—
827C2×Dic67—21no—
828C2×Dic67—21no—
829C2×Dic67—21no—
830C2×Dic67—21no—
831C2×Dic67—21no—
832C2×Dic67—41no—
833C2×Dic67C22×D411yescharacteristic
834C2×Dic67C22×D411yescharacteristic
835C2×Dic67C22×D411yescharacteristic
836C2×Dic67C22×D411yescharacteristic
837D268—24no—
838D268—22no—
839D268—22no—
840D268—21no—
841D268—21no—
842D268—21no—
843D268—21no—
844D268—41no—
845D268—41no—
846D268—41no—
847D268—42no—
848D268—42no—
849D268—42no—
850D268—81no—
851D268—81no—
852D268—81no—
853D268H(5,𝔽2)12yes—
854D268H(5,𝔽2)12yes—
855C4×D67—21no—
856C4×D67—21no—
857C4×D67—21no—
858C4×D67—21no—
859C4×D67—21no—
860C4×D67—21no—
861C4×D67—21no—
862C4×D67—21no—
863C4×D67—41no—
864C4×D67—41no—
865C4×D67—42no—
866C4×D67—42no—
867C4×D67—81no—
868C4×D67—81no—
869C4×D67—81no—
870C4×D67—81no—
871C4×D67—81no—
872C4×D67—81no—
873C4×D67—81no—
874C4×D67—81no—
875C4×D67—81no—
876C4×D67—81no—
877C4×D67—81no—
878Dic134—21no—
879Dic134—21no—
880Dic134—41no—
881Dic134—81no—
882Dic134—81no—
883Dic134—81no—
884C8×C67—21no—
885C8×C67—21no—
886C8×C67—21no—
887C8×C67—21no—
888C67⋊C8—21no—
889C67⋊C8—21no—
890C67⋊C8—21no—
891C67⋊C8—21no—
892C22×C67—21no—
893C22×C67—21no—
894C22×C67—21no—
895C22×C67—41no—
896C22×C67—41no—
897C22×C67—41no—
898C22×C67—41no—
899C22×C67—41no—
900C22×C67—41no—
901C22×C67—41no—
902C22×C67—41no—
903C22×C67—41no—
904C22×C67—84no—
905C22×C67C23×D411yescharacteristic
906C2×D67—21no—
907C2×D67—21no—
908C2×D67—21no—
909C2×D67—21no—
910C2×D67—21no—
911C2×D67—21no—
912C2×D67—21no—
913C2×D67—21no—
914C2×D67—22no—
915C2×D67—22no—
916C2×D67—21no—
917C2×D67—21no—
918C2×D67—21no—
919C2×D67—44no—
920C2×D67—41no—
921C2×D67—41no—
922C2×D67—41no—
923C2×D67—41no—
924C2×D67—41no—
925C2×D67—41no—
926C2×D67—41no—
927C2×D67—84no—
928C2×D67—84no—
929C2×D67—84no—
930C2×D67—84no—
931C2×D67—84no—
932C2×D67—162no—
933C2×D67—162no—
934C2×D67#57712yes—
935C4×C67—21no—
936C4×C67—21no—
937C4×C67—21no—
938C4×C67—21no—
939C4×C67—21no—
940C4×C67—41no—
941C4×C67—41no—
942C4×C67—41no—
943C4×C67—41no—
944C4×C67—41no—
945C4×C67C2×H(5,𝔽2)11yescharacteristic
946C4×C67C2×H(5,𝔽2)11yescharacteristic
947Dic67—21no—
948Dic67—21no—
949Dic67—21no—
950Dic67—21no—
951Dic67—41no—
952Dic67—41no—
953Dic67—41no—
954Dic67—41no—
955Dic67—41no—
956#61610—671nomaximal, Sylow
957C2×C67—41no—
958C2×C67—81no—
959C2×C67—81no—
960C2×C67—81no—
961C2×C67#348411yescharacteristic
962C2×C67C2×#57711yescharacteristic
963C2×C67#358511yescharacteristic
964D67—22no—
965D67—41no—
966D67—41no—
967D67—41no—
968D67—42no—
969D67—42no—
970D67—81no—
971#3541—671no—
972#3484—671no—
973#3324—671no—
974#3323—671no—
975#3318—671no—
976#3314—671no—
977#3311—671no—
978#3310—671no—
979#3297—671no—
980#3295—671no—
981#3282—671no—
982D4×SD16—671no—
983#3275—671no—
984#3272—671no—
985#3267—671no—
986#3266—671no—
987#3265—671no—
988#3265—671no—
989#3224—671no—
990#3222D6711yescharacteristic, complemented
991#3200—671no—
992#3198—671no—
993#3196—671no—
994#3191—671no—
995#3123—671no—
996#3118—671no—
997#3012—671no—
998#3009—671no—
999#3003—671no—
1000C2×#450—671no—
1001#2976—671no—
1002C67#6161011yescharacteristic, complemented, Sylow
1003C2×H(5,𝔽2)—671no—
1004C23×D4—671no—
1005C2×#137—671no—
1006C2×AGL(1,ℤ/8)—671no—
1007C2×AGL(1,ℤ/8)—671no—
1008C2×AGL(1,ℤ/8)—671no—
1009C2×#135—671no—
1010C22×SD16—671no—
1011C22×SD16—671no—
1012C22×SD16—671no—
1013#563—1341no—
1014#562—1341no—
1015#556—671no—
1016#554—671no—
1017#554—1341no—
1018#553—671no—
1019#553—1341no—
1020#552—671no—
1021D4×Q8—671no—
1022#548—671no—
1023#548—671no—
1024#547—671no—
1025#546—671no—
1026#546—671no—
1027#546—671no—
1028#546—671no—
1029#546—1341no—
1030#546—1341no—
1031D42—671no—
1032D42—671no—
1033D42—671no—
1034D42—671no—
1035D42—1341no—
1036D42—1341no—
1037#542—671no—
1038#542—1341no—
1039#541C2×D6711yescharacteristic, complemented
1040#539—1341no—
1041#538—1341no—
1042#538—1341no—
1043#537—671no—
1044#536—671no—
1045#535—671no—
1046#535C2×D6711yescharacteristic
1047#534—1341no—
1048#534—1341no—
1049#525—671no—
1050#525—671no—
1051#525—671no—
1052C2×C22⋊Q8—671no—
1053C2×#120—1341no—
1054C2×#120—1341no—
1055#518—671no—
1056#497C2×D6711yescharacteristic, complemented
1057#496—671no—
1058#495—671no—
1059#492C2×D6711yescharacteristic, complemented
1060#490C2×D6711yescharacteristic, complemented
1061#489—671no—
1062#488C2×D6711yescharacteristic, complemented
1063#486—671no—
1064#485—671no—
1065#485—671no—
1066#485—671no—
1067#485—671no—
1068#484—671no—
1069#482—671no—
1070#482—671no—
1071#482—671no—
1072#482—671no—
1073#481—671no—
1074#481—671no—
1075#480—671no—
1076#478—671no—
1077#478—671no—
1078#476—671no—
1079#474—671no—
1080#470—671no—
1081#470—671no—
1082#469—671no—
1083#468—671no—
1084#468—671no—
1085#468—671no—
1086#468—671no—
1087#468—671no—
1088#467—671no—
1089#466—671no—
1090#466—671no—
1091#465—671no—
1092#465—671no—
1093#465—671no—
1094#465—671no—
1095#465—671no—
1096#464—671no—
1097#464C2×D6711yescharacteristic, complemented
1098#464C2×D6711yescharacteristic, complemented
1099#463—671no—
1100#463—671no—
1101#463—671no—
1102#461—671no—
1103#461—671no—
1104#460—671no—
1105#460C2×D6711yescharacteristic, complemented
1106#460C2×D6711yescharacteristic, complemented
1107#459—671no—
1108#452—671no—
1109#452—671no—
1110#452—671no—
1111#452—671no—
1112#452—671no—
1113#452C2×D6711yescharacteristic, complemented
1114#452C2×D6711yescharacteristic, complemented
1115#451—671no—
1116#450—671no—
1117#450—671no—
1118#450—671no—
1119#450—671no—
1120#450—671no—
1121#450—671no—
1122#450—671no—
1123#450—671no—
1124#450—671no—
1125#450—671no—
1126#450—671no—
1127#450—671no—
1128#450—671no—
1129#450C2×D6711yescharacteristic, complemented
1130#450C2×D6711yescharacteristic, complemented
1131#449—671no—
1132#449—671no—
1133#449—671no—
1134#449—671no—
1135#449—671no—
1136#448—671no—
1137#448—671no—
1138#448—671no—
1139#447—671no—
1140#447—671no—
1141#447—671no—
1142#447—671no—
1143#447—671no—
1144#442—671no—
1145#440—671no—
1146#440—671no—
1147#440—671no—
1148C4×SD16—671no—
1149C4×SD16—671no—
1150C4×SD16—671no—
1151C4×D8—671no—
1152#436—671no—
1153#436—671no—
1154#435—671no—
1155#435—671no—
1156#435—671no—
1157#435—671no—
1158C8×D4—671no—
1159C8×D4—671no—
1160#433—671no—
1161#433C2×D6711yescharacteristic, complemented
1162#418—671no—
1163#418—671no—
1164#418—671no—
1165#417—671no—
1166#416—671no—
1167C2×#102—671no—
1168C2×#102—671no—
1169C2×#102—671no—
1170#408—671no—
1171#408—671no—
1172#407—671no—
1173C2×C22⋊C8—671no—
1174C25—1341no—
1175H(5,𝔽2)—2682no—
1176H(5,𝔽2)—2682no—
1177C2×#41—671no—
1178C2×#41—671no—
1179C2×#41—671no—
1180C2×#41—671no—
1181C2×#41—671no—
1182C2×#41—1341no—
1183C2×#41C22×D6711yescharacteristic
1184C22×Q8—671no—
1185C22×Q8—671no—
1186C22×D4—2682no—
1187C22×D4—2682no—
1188C22×D4—671no—
1189C22×D4—671no—
1190C22×D4—671no—
1191C22×D4—671no—
1192C22×D4—671no—
1193C22×D4—671no—
1194C22×D4—671no—
1195C22×D4—1341no—
1196C22×D4—1341no—
1197C22×D4—1341no—
1198C22×D4—1341no—
1199C22×D4—1341no—
1200C22×D4—1341no—
1201C22×D4—1341no—
1202C22×D4—1341no—
1203C22×D4—1341no—
1204C22×D4—1341no—
1205C22×D4C22×D6711yescharacteristic
1206C23×C4—671no—
1207#137—2682no—
1208AGL(1,ℤ/8)—2682no—
1209AGL(1,ℤ/8)—2682no—
1210AGL(1,ℤ/8)—2682no—
1211#135—2682no—
1212C2×Q16—671no—
1213C2×Q16C22×D6711yescharacteristic, complemented
1214C2×Q16C22×D6711yescharacteristic, complemented
1215C2×SD16—2682no—
1216C2×SD16—2682no—
1217C2×SD16—2682no—
1218C2×SD16—671no—
1219C2×SD16—671no—
1220C2×SD16—671no—
1221C2×SD16—671no—
1222C2×SD16—671no—
1223C2×SD16—671no—
1224C2×SD16—671no—
1225C2×SD16—671no—
1226C2×SD16—671no—
1227C2×SD16—671no—
1228C2×SD16C22×D6711yescharacteristic
1229C2×SD16C22×D6711yescharacteristic
1230C2×SD16C22×D6711yescharacteristic
1231C2×SD16C22×D6711yescharacteristic
1232C2×SD16C22×D6711yescharacteristic, complemented
1233C2×SD16C22×D6711yescharacteristic, complemented
1234C2×D8—671no—
1235C2×D8—671no—
1236C2×D8—671no—
1237C2×D8—671no—
1238C2×D8—671no—
1239C2×M16—671no—
1240C2×M16—671no—
1241C2×M16—671no—
1242C2×M16—671no—
1243C22×C8—671no—
1244C22×C8—671no—
1245C22×C8—671no—
1246C22×C8—671no—
1247C4⋊Q8—671no—
1248C4⋊Q8—1341no—
1249C4⋊Q8—1341no—
1250C4⋊Q8C22×D6711yescharacteristic, complemented
1251#127—1341no—
1252#127C22×D6711yescharacteristic
1253#127C22×D6711yescharacteristic
1254#126—21no—
1255#126—21no—
1256#126—1341no—
1257#126—1341no—
1258#126—1341no—
1259#126—1341no—
1260#126—1341no—
1261#125—21no—
1262#125—21no—
1263#125—1341no—
1264#125—1341no—
1265#125C22×D6711yescharacteristic, complemented
1266#124—671no—
1267#124—1341no—
1268#124—1341no—
1269#124—1341no—
1270#124—1341no—
1271#124—1341no—
1272#124—1341no—
1273#124C22×D6711yescharacteristic
1274#124C22×D6711yescharacteristic
1275#123—671no—
1276#123—671no—
1277#123—1341no—
1278#123—1341no—
1279#123—1341no—
1280#123—1341no—
1281#123—1341no—
1282#123—1341no—
1283#123—1341no—
1284#123—1341no—
1285#123—1341no—
1286#123—1341no—
1287#123—1341no—
1288#123—1341no—
1289#123—1341no—
1290C22⋊Q8—671no—
1291C22⋊Q8—671no—
1292C22⋊Q8—671no—
1293C22⋊Q8—671no—
1294C22⋊Q8—671no—
1295C22⋊Q8—671no—
1296C22⋊Q8—671no—
1297C22⋊Q8—671no—
1298C22⋊Q8—671no—
1299C22⋊Q8—671no—
1300C22⋊Q8—671no—
1301C22⋊Q8—1341no—
1302C22⋊Q8—1341no—
1303C22⋊Q8—1341no—
1304C22⋊Q8—1341no—
1305C22⋊Q8—1341no—
1306C22⋊Q8—1341no—
1307C22⋊Q8—1341no—
1308C22⋊Q8—1341no—
1309C22⋊Q8—1341no—
1310C22⋊Q8—1341no—
1311C22⋊Q8C22×D6711yescharacteristic
1312C22⋊Q8C22×D6711yescharacteristic
1313#121—21no—
1314#121—21no—
1315#121—671no—
1316#121—671no—
1317#121—671no—
1318#121—671no—
1319#121—671no—
1320#121—671no—
1321#121—671no—
1322#121—671no—
1323#121—671no—
1324#121—671no—
1325#121—671no—
1326#121—1341no—
1327#121—1341no—
1328#121—1341no—
1329#121—1341no—
1330#121—1341no—
1331#121—1341no—
1332#121—1341no—
1333#121—1341no—
1334#121—1341no—
1335#121—1341no—
1336#121—1341no—
1337#121—1341no—
1338#121—1341no—
1339#121—1341no—
1340#121—1341no—
1341#120—21no—
1342#120—21no—
1343#120—671no—
1344#120—671no—
1345#120—1341no—
1346#120—1341no—
1347#120—1341no—
1348#120—1341no—
1349#120—1341no—
1350#120—1341no—
1351#120—1341no—
1352#120—1341no—
1353#120—1341no—
1354#120—1341no—
1355#120—1341no—
1356#120—1341no—
1357#120—1341no—
1358#120—1341no—
1359#120—1341no—
1360#120—1341no—
1361C4×Q8—671no—
1362C4×Q8—1341no—
1363C4×Q8C22×D6711yescharacteristic, complemented
1364C4×Q8C22×D6711yescharacteristic, complemented
1365C4×D4—671no—
1366C4×D4—671no—
1367C4×D4—671no—
1368C4×D4—671no—
1369C4×D4—671no—
1370C4×D4—671no—
1371C4×D4—671no—
1372C4×D4—671no—
1373C4×D4—671no—
1374C4×D4—1341no—
1375C4×D4—1341no—
1376C4×D4—1341no—
1377C4×D4—1341no—
1378C4×D4—1341no—
1379C4×D4—1341no—
1380C4×D4—1341no—
1381C4×D4—1341no—
1382C4×D4—1341no—
1383C4×D4—1341no—
1384C4×D4—1341no—
1385#117—671no—
1386#117—671no—
1387#117—671no—
1388#117—1341no—
1389#117C22×D6711yescharacteristic
1390C2×C4⋊C4—671no—
1391C2×C4⋊C4—671no—
1392C2×C4⋊C4—1341no—
1393C2×C4⋊C4—1341no—
1394C2×C22⋊C4—1341no—
1395C2×C22⋊C4—1341no—
1396C2×C22⋊C4—1341no—
1397C2×C22⋊C4—1341no—
1398C2×C22⋊C4—1341no—
1399C2×C22⋊C4—1341no—
1400C2×C22⋊C4—1341no—
1401#107—671no—
1402#107—671no—
1403#107—671no—
1404#107—671no—
1405#106—671no—
1406#106—671no—
1407#106—671no—
1408#106—671no—
1409C4⋊C8—671no—
1410C4⋊C8—671no—
1411C4⋊C8C22×D6711yescharacteristic, complemented
1412C4⋊C8C22×D6711yescharacteristic, complemented
1413#103—671no—
1414#103—671no—
1415#103—671no—
1416#103—671no—
1417#103—671no—
1418#103—671no—
1419#103—671no—
1420#103—671no—
1421#103C22×D6711yescharacteristic, complemented
1422#103C22×D6711yescharacteristic, complemented
1423#102—671no—
1424#102—671no—
1425#102—671no—
1426#102—671no—
1427#102—671no—
1428#102—671no—
1429#102—671no—
1430#102—671no—
1431#102—671no—
1432#102—671no—
1433#102—671no—
1434#102—671no—
1435#102—671no—
1436#102—671no—
1437#102—671no—
1438#102—671no—
1439#102C22×D6711yescharacteristic
1440#102C22×D6711yescharacteristic
1441#102C22×D6711yescharacteristic
1442#102C22×D6711yescharacteristic
1443#102C22×D6711yescharacteristic, complemented
1444#102C22×D6711yescharacteristic, complemented
1445C22⋊C8—671no—
1446C22⋊C8—671no—
1447C22⋊C8—671no—
1448C22⋊C8—671no—
1449C22⋊C8—671no—
1450C22⋊C8—671no—
1451C22⋊C8—671no—
1452C22⋊C8—671no—
1453C22⋊C8—671no—
1454C22⋊C8—671no—
1455C22⋊C8C22×D6711yescharacteristic
1456C22⋊C8C22×D6711yescharacteristic
1457#97—671no—
1458#97C22×D6711yescharacteristic, complemented
1459C4×C8—671no—
1460C4×C8C22×D6711yescharacteristic, complemented
1461C24—21no—
1462C24—2684no—
1463C24—5362no—
1464C24—5362no—
1465C24—671no—
1466C24—1341no—
1467C24—1341no—
1468C24—1341no—
1469C24—1341no—
1470C24—1341no—
1471C24—1341no—
1472C24—1341no—
1473#41—41no—
1474#41—41no—
1475#41—2681no—
1476#41—2681no—
1477#41—2684no—
1478#41—2681no—
1479#41—2681no—
1480#41—2681no—
1481#41—2681no—
1482#41—2681no—
1483#41—2681no—
1484#41—1342no—
1485#41—1342no—
1486C2×Q8—2681no—
1487C2×Q8—2681no—
1488C2×Q8—2681no—
1489C2×Q8—2681no—
1490C2×Q8—671no—
1491C2×Q8—671no—
1492C2×Q8—1341no—
1493C2×Q8—1341no—
1494C2×Q8—1341no—
1495C2×Q8C23×D6711yescharacteristic
1496C2×Q8C23×D6711yescharacteristic
1497C2×Q8C23×D6711yescharacteristic
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—41no—
1505C2×D4—41no—
1506C2×D4—2684no—
1507C2×D4—2684no—
1508C2×D4—2684no—
1509C2×D4—2684no—
1510C2×D4—2684no—
1511C2×D4—2684no—
1512C2×D4—2681no—
1513C2×D4—2681no—
1514C2×D4—2681no—
1515C2×D4—2681no—
1516C2×D4—2681no—
1517C2×D4—2681no—
1518C2×D4—5362no—
1519C2×D4—5362no—
1520C2×D4—5362no—
1521C2×D4—5362no—
1522C2×D4—671no—
1523C2×D4—671no—
1524C2×D4—671no—
1525C2×D4—671no—
1526C2×D4—671no—
1527C2×D4—671no—
1528C2×D4—671no—
1529C2×D4—671no—
1530C2×D4—671no—
1531C2×D4—671no—
1532C2×D4—1341no—
1533C2×D4—1341no—
1534C2×D4—1341no—
1535C2×D4—1341no—
1536C2×D4—1341no—
1537C2×D4—1341no—
1538C2×D4—1342no—
1539C2×D4—1342no—
1540C2×D4—1341no—
1541C2×D4—1341no—
1542C2×D4—1341no—
1543C2×D4—1341no—
1544C2×D4—1341no—
1545C2×D4—1341no—
1546C2×D4—1342no—
1547C2×D4—1342no—
1548C2×D4—1342no—
1549C2×D4—1342no—
1550C2×D4—1342no—
1551C2×D4—1342no—
1552C2×D4—1341no—
1553C2×D4—1341no—
1554C2×D4—1341no—
1555C2×D4—1341no—
1556C2×D4—1341no—
1557C2×D4—1341no—
1558C2×D4—1341no—
1559C2×D4—1341no—
1560C2×D4C23×D6711yescharacteristic
1561C2×D4C23×D6711yescharacteristic
1562C2×D4C23×D6711yescharacteristic
1563C22×C4—21no—
1564C22×C4—2681no—
1565C22×C4—2681no—
1566C22×C4—671no—
1567C22×C4—671no—
1568C22×C4—671no—
1569C22×C4—671no—
1570C22×C4—671no—
1571C22×C4—671no—
1572C22×C4—671no—
1573C22×C4—1341no—
1574C22×C4—1341no—
1575C22×C4—1341no—
1576C22×C4—1341no—
1577C22×C4—1341no—
1578C22×C4—1341no—
1579C22×C4—1341no—
1580C22×C4—1341no—
1581C22×C4—1341no—
1582C22×C4—1341no—
1583C22×C4—1341no—
1584C22×C4—1341no—
1585C22×C4—1341no—
1586C22×C4C23×D6711yescharacteristic
1587Q16—41no—
1588Q16—41no—
1589Q16—2681no—
1590SD16—41no—
1591SD16—41no—
1592SD16—41no—
1593SD16—41no—
1594SD16—41no—
1595SD16—41no—
1596SD16—2681no—
1597SD16—2681no—
1598SD16—2681no—
1599SD16—2681no—
1600SD16—1342no—
1601SD16—1342no—
1602SD16—1342no—
1603SD16—1342no—
1604SD16—1342no—
1605SD16—1342no—
1606D8—2681no—
1607D8—2681no—
1608D8—2681no—
1609D8—1342no—
1610D8—1342no—
1611M16—2681no—
1612M16—2681no—
1613M16—2681no—
1614M16—2681no—
1615C2×C8—2681no—
1616C2×C8—2681no—
1617C2×C8—2681no—
1618C2×C8—2681no—
1619C2×C8—671no—
1620C2×C8—671no—
1621C2×C8—671no—
1622C2×C8—671no—
1623C2×C8C23×D6711yescharacteristic
1624C2×C8C23×D6711yescharacteristic
1625C2×C8C23×D6711yescharacteristic
1626C2×C8C23×D6711yescharacteristic
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—21no—
1633C4⋊C4—21no—
1634C4⋊C4—21no—
1635C4⋊C4—671no—
1636C4⋊C4—671no—
1637C4⋊C4—671no—
1638C4⋊C4—671no—
1639C4⋊C4—671no—
1640C4⋊C4—671no—
1641C4⋊C4—671no—
1642C4⋊C4—671no—
1643C4⋊C4—1341no—
1644C4⋊C4—1341no—
1645C4⋊C4—1341no—
1646C4⋊C4—1341no—
1647C4⋊C4—1341no—
1648C4⋊C4—1341no—
1649C4⋊C4—1341no—
1650C4⋊C4—1341no—
1651C4⋊C4—1341no—
1652C4⋊C4—1341no—
1653C4⋊C4—1341no—
1654C4⋊C4—1341no—
1655C4⋊C4—1341no—
1656C4⋊C4D4×D6711yescharacteristic
1657C4⋊C4D4×D6711yescharacteristic
1658C4⋊C4C23×D6711yescharacteristic
1659C4⋊C4C23×D6711yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—671no—
1667C22⋊C4—671no—
1668C22⋊C4—671no—
1669C22⋊C4—671no—
1670C22⋊C4—671no—
1671C22⋊C4—671no—
1672C22⋊C4—671no—
1673C22⋊C4—671no—
1674C22⋊C4—1341no—
1675C22⋊C4—1341no—
1676C22⋊C4—1341no—
1677C22⋊C4—1341no—
1678C22⋊C4—1341no—
1679C22⋊C4—1341no—
1680C22⋊C4—1341no—
1681C22⋊C4—1341no—
1682C22⋊C4—1341no—
1683C22⋊C4—1341no—
1684C22⋊C4—1341no—
1685C22⋊C4—1341no—
1686C22⋊C4—1341no—
1687C22⋊C4—1341no—
1688C22⋊C4—1341no—
1689C22⋊C4—1341no—
1690C22⋊C4—1341no—
1691C22⋊C4—1341no—
1692C22⋊C4—1341no—
1693C22⋊C4—1341no—
1694C22⋊C4—1341no—
1695C22⋊C4—1341no—
1696C22⋊C4—1341no—
1697C22⋊C4—1341no—
1698C22⋊C4—1341no—
1699C22⋊C4—1341no—
1700C22⋊C4—1341no—
1701C22⋊C4—1341no—
1702C22⋊C4D4×D6711yescharacteristic
1703C22⋊C4D4×D6711yescharacteristic
1704C42—21no—
1705C42—21no—
1706C42—1341no—
1707C42—1341no—
1708C42—1341no—
1709C42—1341no—
1710C42C23×D6711yescharacteristic
1711C42C23×D6711yescharacteristic
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—42no—
1716C23—81no—
1717C23—81no—
1718C23—2681no—
1719C23—2681no—
1720C23—2682no—
1721C23—2682no—
1722C23—2682no—
1723C23—2682no—
1724C23—2682no—
1725C23—2682no—
1726C23—2682no—
1727C23—2682no—
1728C23—2682no—
1729C23—2682no—
1730C23—5361no—
1731C23—5361no—
1732C23—5361no—
1733C23—5361no—
1734C23—5361no—
1735C23—5361no—
1736C23—5361no—
1737C23—5361no—
1738C23—5361no—
1739C23—5361no—
1740C23—53616no—
1741C23—671no—
1742C23—671no—
1743C23—671no—
1744C23—671no—
1745C23—1342no—
1746C23—1344no—
1747C23—1341no—
1748C23—1341no—
1749C23—1341no—
1750C23C2×D4×D6711yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—21no—
1756Q8—21no—
1757Q8—2681no—
1758Q8—5361no—
1759Q8—5361no—
1760Q8—5361no—
1761Q8—1341no—
1762Q8—1341no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—42no—
1770D4—42no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—2681no—
1776D4—2681no—
1777D4—2681no—
1778D4—2682no—
1779D4—2682no—
1780D4—2682no—
1781D4—2682no—
1782D4—2682no—
1783D4—2681no—
1784D4—2681no—
1785D4—2682no—
1786D4—2682no—
1787D4—2682no—
1788D4—2682no—
1789D4—2682no—
1790D4—2682no—
1791D4—5361no—
1792D4—5361no—
1793D4—5361no—
1794D4—5361no—
1795D4—5361no—
1796D4—5361no—
1797D4—5361no—
1798D4—5361no—
1799D4—672no—
1800D4—672no—
1801D4—1342no—
1802D4—1342no—
1803D4—1344no—
1804D4—1341no—
1805D4—1341no—
1806D4—1341no—
1807D4—1341no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—42no—
1816C2×C4—2681no—
1817C2×C4—2681no—
1818C2×C4—2682no—
1819C2×C4—2682no—
1820C2×C4—2681no—
1821C2×C4—5361no—
1822C2×C4—5361no—
1823C2×C4—5361no—
1824C2×C4—5361no—
1825C2×C4—5361no—
1826C2×C4—5361no—
1827C2×C4—5361no—
1828C2×C4—5361no—
1829C2×C4—5361no—
1830C2×C4—5361no—
1831C2×C4—5361no—
1832C2×C4—671no—
1833C2×C4—671no—
1834C2×C4—671no—
1835C2×C4—671no—
1836C2×C4—1341no—
1837C2×C4—1341no—
1838C2×C4—1341no—
1839C2×C4—1341no—
1840C2×C4—1341no—
1841C2×C4—1341no—
1842C2×C4—1341no—
1843C2×C4—1341no—
1844C2×C4—1341no—
1845C2×C4—1341no—
1846C2×C4—1341no—
1847C2×C4—1341no—
1848C2×C4—1341no—
1849C2×C4C2×D4×D6711yescharacteristic
1850C2×C4C2×D4×D6711yescharacteristic
1851C2×C4C2×D4×D6711yescharacteristic
1852C2×C4C2×D4×D6711yescharacteristic
1853C2×C4C2×D4×D6711yescharacteristic
1854C2×C4C24×D6711yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—1341no—
1860C8—1341no—
1861C8—1341no—
1862C8—1341no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—84no—
1876C22—2684no—
1877C22—2681no—
1878C22—2681no—
1879C22—2681no—
1880C22—2681no—
1881C22—2681no—
1882C22—2681no—
1883C22—2681no—
1884C22—5364no—
1885C22—5364no—
1886C22—5364no—
1887C22—5364no—
1888C22—5364no—
1889C22—10722no—
1890C22—10722no—
1891C22—672no—
1892C22—1341no—
1893C22—1342no—
1894C22—1342no—
1895C22—1341no—
1896C22—1341no—
1897C22—1341no—
1898C22—1341no—
1899C22—1341no—
1900C22—1341no—
1901C22—1341no—
1902C22—1341no—
1903C22—1341no—
1904C22—1341no—
1905C22C22×D4×D6711yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—21no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—41no—
1916C4—2681no—
1917C4—2681no—
1918C4—2681no—
1919C4—2681no—
1920C4—2681no—
1921C4—1341no—
1922C4—1341no—
1923C4—1341no—
1924C4—1341no—
1925C4H(5,𝔽2)×D6711yescharacteristic
1926C4H(5,𝔽2)×D6711yescharacteristic
1927C2—41no—
1928C2—81no—
1929C2—81no—
1930C2—81no—
1931C2—2681no—
1932C2—2682no—
1933C2—2682no—
1934C2—2681no—
1935C2—2681no—
1936C2—5361no—
1937C2—1342no—
1938C2#2257384311yescharacteristic
1939C2#577×D6711yescharacteristic
1940C2#2257498711yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3222C2
socleC22×C67C23×D4
hypercenter#3222D67
hypocenterC67#61610
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ #117 ◁ #3222

Complements

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

NH ≅ G/Ntype
1. #22574508C2semidirect
2. #22573843C2semidirect
3. #22572443C2semidirect
4. #22572424C2semidirect
5. #22572349C2semidirect
6. #22572297C2semidirect
7. #22572252C2semidirect
8. #22572229C2semidirect
9. #22572058C2semidirect
10. #22572036C2semidirect
11. #22571911C2semidirect
12. #22571904C2semidirect
13. #22571835C2semidirect
14. #22571808C2semidirect
15. #22571733C2semidirect
16. #22571718C2semidirect
17. #22571699C2semidirect
18. #22571699C2semidirect
19. #22571303C2semidirect
20. #22571078C2semidirect
21. #22571065C2semidirect
22. #22571037C2semidirect
23. #22571001C2semidirect
24. #22570456C2semidirect
25. #22570395C2semidirect
26. #22569517C2semidirect
27. #22569483C2semidirect
28. #22569437C2semidirect
29. #450×D67C2semidirect
30. #22569255C2semidirect
31. C67×#3222C2semidirect
34. C2×#14524075C22semidirect
35. C2×#14524070C22semidirect
36. C2×#14524070C22semidirect
37. C2×#14524070C22semidirect
38. C2×#14524066C22semidirect
39. C2×SD16×D67C22semidirect
40. C2×SD16×D67C22semidirect
41. C2×SD16×D67C22semidirect
44. #16864119C22semidirect
45. #16864106C22semidirect
48. #16864099C22semidirect
49. #16864084C22semidirect
50. #16864061C22semidirect
51. #16864058C22semidirect
52. #16864058C22semidirect
53. #16864049C22semidirect
66. #16864017C22semidirect
71. #16863976C22semidirect
72. #16863969C22semidirect
76. #16863909C22semidirect
79. C22⋊Q8×D67C22semidirect
83. #16863783C22semidirect
84. #16863778C22semidirect
85. #16863755C22semidirect
86. #16863742C22semidirect
87. #16863738C22semidirect
88. #16863735C22semidirect
89. #16863734C22semidirect
90. #16863734C22semidirect
91. #16863730C22semidirect
92. #16863721C22semidirect
93. #16863719C22semidirect
94. #16863718C22semidirect
95. #16863718C22semidirect
96. #16863713C22semidirect
97. #16863713C22semidirect
98. #16863708C22semidirect
99. #16863693C22semidirect
100. #16863693C22semidirect
101. #16863687C22semidirect
102. #16863677C22semidirect
103. #16863653C22semidirect
104. #16863651C22semidirect
105. #16863648C22semidirect
106. #16863641C22semidirect
107. #16863641C22semidirect
108. #16863639C22semidirect
109. #16863639C22semidirect
110. #16863639C22semidirect
111. #16863634C22semidirect
112. #16863631C22semidirect
113. #16863631C22semidirect
114. #16863628C22semidirect
115. #16863624C22semidirect
116. #16863622C22semidirect
117. #16863622C22semidirect
118. #16863622C22semidirect
119. #16863615C22semidirect
120. #16863612C22semidirect
121. #16863612C22semidirect
122. #16863608C22semidirect
123. #16863598C22semidirect
124. #16863598C22semidirect
125. #16863593C22semidirect
126. #16863588C22semidirect
127. #16863561C22semidirect
128. #16863558C22semidirect
129. #16863557C22semidirect
130. #16863557C22semidirect
131. #16863557C22semidirect
132. #16863550C22semidirect
134. #16863548C22semidirect
135. #16863548C22semidirect
136. #16863548C22semidirect
137. #16863547C22semidirect
140. #16863545C22semidirect
141. #16863545C22semidirect
142. #16863545C22semidirect
143. #16863545C22semidirect
144. #16863545C22semidirect
145. #16863545C22semidirect
146. #16863544C22semidirect
147. #16863541C22semidirect
148. #16863540C22semidirect
149. #16863540C22semidirect
150. #16863540C22semidirect
151. #16863533C22semidirect
152. #16863533C22semidirect
153. #16863533C22semidirect
155. #16863531C22semidirect
156. #16863531C22semidirect
157. #16863531C22semidirect
158. #16863530C22semidirect
159. #16863509C22semidirect
160. #16863498C22semidirect
161. #16863494C22semidirect
162. #16863494C22semidirect
163. C4×#11761617C22semidirect
164. C4×#11761615C22semidirect
165. C4×#11761615C22semidirect
166. C4×D536C22semidirect
167. #16863475C22semidirect
168. #16863473C22semidirect
169. #16863469C22semidirect
170. #16863469C22semidirect
171. #16863466C22semidirect
172. #16863466C22semidirect
173. C8×D268C22semidirect
174. #16863461C22semidirect
175. #16863457C22semidirect
176. #16863399C22semidirect
177. #16863399C22semidirect
178. #16863399C22semidirect
179. #16863396C22semidirect
180. #16863391C22semidirect
181. #102×D67C22semidirect
182. #102×D67C22semidirect
183. #102×D67C22semidirect
184. #16863361C22semidirect
185. #16863361C22semidirect
186. #16863358C22semidirect
187. C22⋊C8×D67C22semidirect
188. #541×C67C22semidirect
190. #497×C67C22semidirect
191. #492×C67C22semidirect
192. #490×C67C22semidirect
193. #488×C67C22semidirect
194. #464×C67C22semidirect
195. #464×C67C22semidirect
196. #460×C67C22semidirect
197. #460×C67C22semidirect
198. #452×C67C22semidirect
199. #452×C67C22semidirect
200. #450×C67C22semidirect
201. #450×C67C22semidirect
202. #433×C67C22semidirect
209. C2×#11761629C23semidirect
213. C2×Q8×D67C23semidirect
239. C2×#11761618C23semidirect
244. C2×#11761616C23semidirect
249. C2×#11761615C23semidirect
257. C2×#11761613C23semidirect
260. C2×#11761611C23semidirect
261. C2×#11761611C23semidirect
264. C2×C8×D67C23semidirect
265. C2×C8×D67C23semidirect
266. #14524043C23semidirect
280. #14524031C23semidirect
304. #14524023C23semidirect
318. #14524019C23semidirect
319. #14524019C23semidirect
328. #14524018C23semidirect
365. C4×Dic134C23semidirect
377. C4×D268C23semidirect
389. #14524001C23semidirect
393. 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
417. #14523967C23semidirect
418. #14523967C23semidirect
423. #14523965C23semidirect
424. #14523965C23semidirect
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
450. C2×Q16×C67C23semidirect
455. C2×SD16×C67C23semidirect
456. C2×SD16×C67C23semidirect
457. C4⋊Q8×C67C23semidirect
464. #125×C67C23semidirect
473. C4×Q8×C67C23semidirect
474. C4×Q8×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
990. #3222D67semidirect
1002. C67#61610semidirect
1039. #541C2×D67semidirect
1056. #497C2×D67semidirect
1059. #492C2×D67semidirect
1060. #490C2×D67semidirect
1062. #488C2×D67semidirect
1097. #464C2×D67semidirect
1098. #464C2×D67semidirect
1105. #460C2×D67semidirect
1106. #460C2×D67semidirect
1113. #452C2×D67semidirect
1114. #452C2×D67semidirect
1129. #450C2×D67semidirect
1130. #450C2×D67semidirect
1161. #433C2×D67semidirect
1213. C2×Q16C22×D67semidirect
1214. C2×Q16C22×D67semidirect
1232. C2×SD16C22×D67semidirect
1233. C2×SD16C22×D67semidirect
1250. C4⋊Q8C22×D67semidirect
1265. #125C22×D67semidirect
1363. C4×Q8C22×D67semidirect
1364. C4×Q8C22×D67semidirect
1411. C4⋊C8C22×D67semidirect
1412. C4⋊C8C22×D67semidirect
1421. #103C22×D67semidirect
1422. #103C22×D67semidirect
1443. #102C22×D67semidirect
1444. #102C22×D67semidirect
1458. #97C22×D67semidirect
1460. C4×C8C22×D67semidirect

Maximal subgroups

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

subgroupindex
#225745082
#225738432
#225724432
#225724242
#225723492
#225722972
#225722522
#225722292
#225720582
#225720362
#225719112
#225719042
#225718352
#225718082
#225717332
#225717182
#225716992
#225713032
#225710782
#225710652
#225710372
#225710012
#225704562
#225703952
#225695172
#225694832
#225694372
#450×D672
#225692552
C67×#32222
#6161067