Finite Group Databasebeta

← #31741412

Subgroups — #31741412

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#22574496C211yesmaximal, characteristic, complemented
2#22573837C211yesmaximal, characteristic, complemented
3#22572436C211yesmaximal, characteristic, complemented
4#22572422C211yesmaximal, characteristic, complemented
5#22572286C211yesmaximal, characteristic, complemented
6#22572243C211yesmaximal, characteristic, complemented
7#22572229C211yesmaximal, characteristic, complemented
8#22572053C211yesmaximal, characteristic, complemented
9#22572031C211yesmaximal, characteristic, complemented
10#22571920C211yesmaximal, characteristic, complemented
11D4×#11761616C211yesmaximal, characteristic, complemented
12#22571847C211yesmaximal, characteristic, complemented
13#22571804C211yesmaximal, characteristic, complemented
14#22571736C211yesmaximal, characteristic, complemented
15#22571724C211yesmaximal, characteristic, complemented
16#22571708C211yesmaximal, characteristic, complemented
17#22571701C211yesmaximal, characteristic, complemented
18#22571300C211yesmaximal, characteristic, complemented
19#22571282C211yesmaximal, characteristic, complemented
20#22571083C211yesmaximal, characteristic, complemented
21#22571056C211yesmaximal, characteristic, complemented
22#22571038C211yesmaximal, characteristic, complemented
23#22570996C211yesmaximal, characteristic, complemented
24#22570463C211yesmaximal, characteristic, complemented
25#22570391C211yesmaximal, characteristic, complemented
26#22569508C211yesmaximal, characteristic, complemented
27#22569487C211yesmaximal, characteristic, complemented
28#22569433C211yesmaximal, characteristic, complemented
29C2×#16863548C211yesmaximal, characteristic, complemented
30#22569258C211yesmaximal, characteristic, complemented
31C67×#3318C211yesmaximal, characteristic, complemented
32C2×#14524088C2211yescharacteristic
33C22×D4×D67C2211yescharacteristic
34C2×#14524076C2211yescharacteristic, complemented
35C2×#14524067C2211yescharacteristic, complemented
36C2×#14524067C2211yescharacteristic, complemented
37C2×#14524067C2211yescharacteristic, complemented
38C2×#14524062C2211yescharacteristic, complemented
39C22×#11761617C2211yescharacteristic, complemented
40C22×#11761616C2211yescharacteristic, complemented
41C22×#11761616C2211yescharacteristic, complemented
42#16864148—21no—
43#16864143—21no—
44#16864114C2211yescharacteristic, complemented
45#16864103—21no—
46#16864101C2211yescharacteristic, complemented
47#16864098—21no—
48#16864084C2211yescharacteristic, complemented
49D4×Dic134C2211yescharacteristic, complemented
50#16864052C2211yescharacteristic, complemented
51#16864052C2211yescharacteristic, complemented
52#16864050C2211yescharacteristic, complemented
53#16864043C2211yescharacteristic
54#16864042C2211yescharacteristic
55#16864041C2211yescharacteristic
56#16864040C2211yescharacteristic
57#16864035—21no—
58#16864033—21no—
59#16864031C2211yescharacteristic
60#16864030C2211yescharacteristic
61D4×C22⋊D67—21no—
62D4×C22⋊D67C2211yescharacteristic
63#16864028—21no—
64#16864012—21no—
65#16864011C2211yescharacteristic, complemented
66#16864009C2211yescharacteristic, complemented
67#16863990—21no—
68#16863983—21no—
69#16863979—21no—
70#16863975C2211yescharacteristic, complemented
71#16863972C2211yescharacteristic, complemented
72#16863962C2211yescharacteristic
73#16863959C2211yescharacteristic
74#16863956—21no—
75#16863954—21no—
76#16863906C2211yescharacteristic
77#16863906C2211yescharacteristic, complemented
78#16863905C2211yescharacteristic
79C2×#14524023C2211yescharacteristic, complemented
80C2×#14524011—21no—
81#120×D67—21no—
82#16863868C2211yescharacteristic
83#16863790C2211yescharacteristic, complemented
84#16863784C2211yescharacteristic, complemented
85#16863779C2211yescharacteristic, complemented
86#16863768C2211yescharacteristic, complemented
87#16863754C2211yescharacteristic, complemented
88#16863753C2211yescharacteristic, complemented
89#16863741C2211yescharacteristic, complemented
90#16863740C2211yescharacteristic, complemented
91#16863740C2211yescharacteristic, complemented
92#16863739C2211yescharacteristic, complemented
93#16863739C2211yescharacteristic, complemented
94#16863731C2211yescharacteristic, complemented
95#16863720C2211yescharacteristic, complemented
96#16863718C2211yescharacteristic, complemented
97#16863718C2211yescharacteristic, complemented
98#16863716C2211yescharacteristic, complemented
99#16863708C2211yescharacteristic, complemented
100#16863693C2211yescharacteristic, complemented
101#16863685C2211yescharacteristic, complemented
102#16863674C2211yescharacteristic, complemented
103#16863655C2211yescharacteristic, complemented
104#16863655C2211yescharacteristic, complemented
105#16863643C2211yescharacteristic, complemented
106#16863642C2211yescharacteristic, complemented
107#16863641C2211yescharacteristic, complemented
108#16863641C2211yescharacteristic, complemented
109#16863641C2211yescharacteristic, complemented
110#16863637C2211yescharacteristic, complemented
111#16863630C2211yescharacteristic, complemented
112#16863626C2211yescharacteristic, complemented
113#16863624C2211yescharacteristic, complemented
114#16863623C2211yescharacteristic, complemented
115#16863623C2211yescharacteristic, complemented
116#16863623C2211yescharacteristic, complemented
117#16863619C2211yescharacteristic, complemented
118#16863617C2211yescharacteristic, complemented
119#16863617C2211yescharacteristic, complemented
120#16863611C2211yescharacteristic, complemented
121#16863610C2211yescharacteristic, complemented
122#16863609C2211yescharacteristic, complemented
123#16863602C2211yescharacteristic, complemented
124#16863601C2211yescharacteristic, complemented
125#16863595C2211yescharacteristic, complemented
126#16863595C2211yescharacteristic, complemented
127#16863593C2211yescharacteristic, complemented
128#16863560C2211yescharacteristic, complemented
129#16863559C2211yescharacteristic, complemented
130#16863559C2211yescharacteristic, complemented
131#16863559C2211yescharacteristic, complemented
132#16863559C2211yescharacteristic, complemented
133#16863559C2211yescharacteristic, complemented
134#16863559C2211yescharacteristic, complemented
135#16863554C2211yescharacteristic, complemented
136#16863549C2211yescharacteristic, complemented
137#16863548C2211yescharacteristic
138#16863548C2211yescharacteristic
139#16863548C2211yescharacteristic
140#16863548C2211yescharacteristic, complemented
141#16863548C2211yescharacteristic, complemented
142#16863548C2211yescharacteristic, complemented
143#16863548C2211yescharacteristic, complemented
144#16863548C2211yescharacteristic, complemented
145#16863548C2211yescharacteristic, complemented
146#16863548C2211yescharacteristic, complemented
147#16863548C2211yescharacteristic, complemented
148#16863548C2211yescharacteristic, complemented
149#16863547C2211yescharacteristic, complemented
150#16863547C2211yescharacteristic, complemented
151#16863542C2211yescharacteristic, complemented
152#16863539C2211yescharacteristic, complemented
153#16863538C2211yescharacteristic, complemented
154#16863538C2211yescharacteristic, complemented
155#16863538C2211yescharacteristic, complemented
156#16863537C2211yescharacteristic, complemented
157#16863534C2211yescharacteristic, complemented
158#16863534C2211yescharacteristic, complemented
159#16863529C2211yescharacteristic, complemented
160#16863528C2211yescharacteristic
161#16863528C2211yescharacteristic, complemented
162#16863498C2211yescharacteristic, complemented
163#16863495C2211yescharacteristic, complemented
164#16863493C2211yescharacteristic, complemented
165#16863487C2211yescharacteristic, complemented
166#16863483C2211yescharacteristic, complemented
167C4×#11761616C2211yescharacteristic, complemented
168C4×#11761613C2211yescharacteristic, complemented
169#16863473C2211yescharacteristic, complemented
170#16863472C2211yescharacteristic, complemented
171#16863469C2211yescharacteristic, complemented
172#16863467C2211yescharacteristic, complemented
173#16863464C2211yescharacteristic, complemented
174D4×C67⋊C8C2211yescharacteristic, complemented
175(C22⋊D67)⋊C8C2211yescharacteristic, complemented
176#16863458C2211yescharacteristic, complemented
177#16863456C2211yescharacteristic, complemented
178#16863399C2211yescharacteristic, complemented
179#16863399C2211yescharacteristic, complemented
180#16863394C2211yescharacteristic, complemented
181#16863390C2211yescharacteristic, complemented
182C2×#14523963C2211yescharacteristic, complemented
183#102×D67C2211yescharacteristic, complemented
184#16863364C2211yescharacteristic, complemented
185#16863361C2211yescharacteristic, complemented
186#16863358C2211yescharacteristic, complemented
187C2×(C2×D67)⋊C8C2211yescharacteristic, complemented
188#553×C67C2211yescharacteristic, complemented
189D42×C67C2211yescharacteristic
190#490×C67C2211yescharacteristic, complemented
191#482×C67C2211yescharacteristic, complemented
192#481×C67C2211yescharacteristic, complemented
193#478×C67C2211yescharacteristic, complemented
194#469×C67C2211yescharacteristic, complemented
195#466×C67C2211yescharacteristic, complemented
196#459×C67C2211yescharacteristic, complemented
197#447×C67C2211yescharacteristic, complemented
198#447×C67C2211yescharacteristic, complemented
199#442×C67C2211yescharacteristic, complemented
200#435×C67C2211yescharacteristic, complemented
201#418×C67C2211yescharacteristic, complemented
202C2×#102×C67C2211yescharacteristic, complemented
203C24×D67—21no—
204#14524088—42no—
205#14524088—42no—
206C2×#11761628C2311yescharacteristic
207C2×#11761628C2311yescharacteristic
208C2×#11761627—21no—
209C2×#11761627C2311yescharacteristic
210C2×#11761627C2311yescharacteristic
211C2×#11761627C2311yescharacteristic
212C2×#11761627C2311yescharacteristic, complemented
213C22×Dic134C2311yescharacteristic
214C22×Dic134C2311yescharacteristic, complemented
215C22×D268C2311yescharacteristic
216C22×C22⋊D67—21no—
217C22×C22⋊D67—21no—
218C22×C22⋊D67—21no—
219C22×C22⋊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
232C22×C4×D67C2311yescharacteristic
233#14524076—42no—
234#14524067—42no—
235#14524067—42no—
236#14524067—42no—
237#14524062—42no—
238C2×Dic268C2311yescharacteristic, complemented
239C2×Dic268C2311yescharacteristic, complemented
240C2×Dic268C2311yescharacteristic, complemented
241C2×#11761617—42no—
242C2×#11761617C2311yescharacteristic
243C2×#11761617C2311yescharacteristic
244C2×#11761617C2311yescharacteristic
245C2×#11761617C2311yescharacteristic
246C2×#11761617C2311yescharacteristic
247C2×#11761617C2311yescharacteristic
248C2×#11761616—42no—
249C2×#11761616—42no—
250C2×#11761616C2311yescharacteristic
251C2×#11761616C2311yescharacteristic
252C2×#11761616C2311yescharacteristic
253C2×#11761616C2311yescharacteristic
254C2×#11761616C2311yescharacteristic
255C2×#11761616C2311yescharacteristic
256C2×#11761616C2311yescharacteristic, complemented
257C2×#11761616C2311yescharacteristic, complemented
258C2×#11761616C2311yescharacteristic, complemented
259C2×#11761616C2311yescharacteristic, complemented
260C2×#11761613C2311yescharacteristic
261C2×#11761613C2311yescharacteristic
262C2×#11761611C2311yescharacteristic
263C2×#11761611C2311yescharacteristic
264C2×#11761611C2311yescharacteristic, complemented
265C22×C67⋊C8C2311yescharacteristic
266C22×C67⋊C8C2311yescharacteristic, complemented
267C2×C8×D67C2311yescharacteristic, complemented
268#14524043—21no—
269#14524043C2311yescharacteristic, complemented
270#14524042—21no—
271#14524042C2311yescharacteristic, complemented
272#14524039—21no—
273#14524039C2311yescharacteristic
274#14524038—21no—
275#14524038—21no—
276#14524038—21no—
277#14524037—21no—
278#14524036—21no—
279#14524036—21no—
280#14524034—21no—
281#14524034—21no—
282#14524034—21no—
283#14524033—21no—
284#14524031—21no—
285#14524031C2311yescharacteristic
286#14524030C2311yescharacteristic
287#14524030C2311yescharacteristic, complemented
288#14524029—21no—
289#14524029—21no—
290#14524029—21no—
291#14524029—21no—
292#14524029—21no—
293#14524028—21no—
294#14524028—21no—
295#14524028D411yescharacteristic
296#14524027—21no—
297#14524027—21no—
298#14524027—21no—
299#14524027—21no—
300#14524027—21no—
301#14524026—21no—
302#14524025—21no—
303#14524025—21no—
304#14524025—21no—
305#14524025D411yescharacteristic
306#14524024—21no—
307#14524023—21no—
308#14524023—21no—
309#14524023C2311yescharacteristic
310#14524023C2311yescharacteristic
311#14524023C2311yescharacteristic
312#14524023C2311yescharacteristic
313#14524023C2311yescharacteristic
314#14524023C2311yescharacteristic
315#14524023C2311yescharacteristic, complemented
316#14524023C2311yescharacteristic, complemented
317#14524022—21no—
318#14524022—21no—
319#14524022C2311yescharacteristic
320#14524022C2311yescharacteristic
321#14524022C2311yescharacteristic, complemented
322#14524021—21no—
323#14524021D411yescharacteristic
324#14524020—21no—
325#14524020—21no—
326#14524020—21no—
327#14524020—21no—
328#14524020—21no—
329#14524020D411yescharacteristic
330#14524018C2311yescharacteristic
331#14524017—21no—
332#14524017—21no—
333#14524017C2311yescharacteristic
334#14524016—21no—
335#14524016—21no—
336#14524016—21no—
337#14524016D411yescharacteristic
338#14524015—21no—
339#14524015—21no—
340#14524015—21no—
341#14524015—21no—
342#14524015—21no—
343#14524015—21no—
344#14524015—21no—
345#14524015D411yescharacteristic
346#14524014—21no—
347#14524014—21no—
348#14524014—21no—
349#14524014C2311yescharacteristic
350#14524014C2311yescharacteristic
351#14524014C2311yescharacteristic
352#14524013—21no—
353#14524013—21no—
354#14524013—21no—
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—
367#14524011—21no—
368#14524011—21no—
369#14524011D411yescharacteristic
370C4×Dic134—21no—
371C4×Dic134C2311yescharacteristic, complemented
372#14524008C2311yescharacteristic, complemented
373#14524008C2311yescharacteristic, complemented
374C4×D268C2311yescharacteristic
375C4×D268C2311yescharacteristic
376D4×Dic67—21no—
377D4×Dic67—21no—
378D4×Dic67—21no—
379D4×Dic67—21no—
380D4×Dic67—21no—
381D4×Dic67C2311yescharacteristic
382#14524005C2311yescharacteristic
383C4×C22⋊D67—21no—
384C4×C22⋊D67—21no—
385C4×C22⋊D67C2311yescharacteristic
386C4×C22⋊D67C2311yescharacteristic
387(C22⋊D67)⋊C4—21no—
388(C22⋊D67)⋊C4—21no—
389(C22⋊D67)⋊C4—21no—
390#14524001—21no—
391#14524001C2311yescharacteristic
392#14524001C2311yescharacteristic
393#14524000C2311yescharacteristic
394C2×C4⋊Dic67—21no—
395C2×C4⋊Dic67—21no—
396C4⋊C4×D67C2311yescharacteristic, complemented
397C2×C22⋊Dic67—21no—
398C2×(C2×D67)⋊C4—21no—
399C2×(C2×D67)⋊C4—21no—
400C2×(C2×D67)⋊C4—21no—
401C22⋊C4×D67—21no—
402C22⋊C4×D67—21no—
403C22⋊C4×D67—21no—
404#14523977C2311yescharacteristic, complemented
405#14523976C2311yescharacteristic, complemented
406#14523976C2311yescharacteristic, complemented
407#14523974C2311yescharacteristic, complemented
408#14523974C2311yescharacteristic, complemented
409C4⋊(C67⋊C8)C2311yescharacteristic, complemented
410Dic67⋊C8C2311yescharacteristic, complemented
411Dic67⋊C8C2311yescharacteristic, complemented
412#14523968C2311yescharacteristic, complemented
413#14523968C2311yescharacteristic, complemented
414#14523968C2311yescharacteristic, complemented
415#14523968C2311yescharacteristic, complemented
416#14523966C2311yescharacteristic, complemented
417#14523966C2311yescharacteristic, complemented
418#14523966C2311yescharacteristic, complemented
419#14523966C2311yescharacteristic, complemented
420#14523966C2311yescharacteristic, complemented
421#14523966C2311yescharacteristic, complemented
422#14523965C2311yescharacteristic
423#14523965C2311yescharacteristic
424#14523964C2311yescharacteristic
425#14523964C2311yescharacteristic
426#14523964C2311yescharacteristic, complemented
427#14523964C2311yescharacteristic, complemented
428#14523963C2311yescharacteristic
429#14523963C2311yescharacteristic
430#14523963C2311yescharacteristic
431#14523963C2311yescharacteristic
432#14523963C2311yescharacteristic
433#14523963C2311yescharacteristic
434C22⋊(C67⋊C8)C2311yescharacteristic
435C22⋊(C67⋊C8)C2311yescharacteristic, complemented
436(C2×D67)⋊C8C2311yescharacteristic
437(C2×D67)⋊C8C2311yescharacteristic
438(C2×D67)⋊C8C2311yescharacteristic
439(C2×D67)⋊C8C2311yescharacteristic
440(C2×D67)⋊C8C2311yescharacteristic
441(C2×D67)⋊C8C2311yescharacteristic
442(C2×D67)⋊C8C2311yescharacteristic, complemented
443(C2×D67)⋊C8C2311yescharacteristic, complemented
444#14523953C2311yescharacteristic, complemented
445C4×C67⋊C8C2311yescharacteristic, complemented
446C8×Dic67C2311yescharacteristic, complemented
447C22×D4×C67—21no—
448C22×D4×C67C2311yescharacteristic
449C22×D4×C67C2311yescharacteristic
450C2×D8×C67C2311yescharacteristic
451C2×D8×C67C2311yescharacteristic
452C2×D8×C67C2311yescharacteristic, complemented
453C2×M16×C67C2311yescharacteristic, complemented
454C22×C8×C67C2311yescharacteristic
455#127×C67C2311yescharacteristic
456#126×C67—21no—
457#125×C67C2311yescharacteristic, complemented
458#123×C67—21no—
459#121×C67—21no—
460#121×C67—21no—
461#121×C67C2311yescharacteristic
462#121×C67C2311yescharacteristic
463#121×C67C2311yescharacteristic
464#121×C67C2311yescharacteristic, complemented
465#120×C67—21no—
466#120×C67—21no—
467C4×D4×C67—21no—
468C4×D4×C67C2311yescharacteristic
469C4×D4×C67C2311yescharacteristic
470C4×D4×C67C2311yescharacteristic, complemented
471#117×C67C2311yescharacteristic, complemented
472C2×C4⋊C4×C67C2311yescharacteristic
473#107×C67C2311yescharacteristic, complemented
474#106×C67C2311yescharacteristic, complemented
475#106×C67C2311yescharacteristic, complemented
476C4⋊C8×C67C2311yescharacteristic, complemented
477#102×C67C2311yescharacteristic
478#102×C67C2311yescharacteristic
479#102×C67C2311yescharacteristic
480#102×C67C2311yescharacteristic
481#102×C67C2311yescharacteristic
482#102×C67C2311yescharacteristic
483#102×C67C2311yescharacteristic, complemented
484#102×C67C2311yescharacteristic, complemented
485#102×C67C2311yescharacteristic, complemented
486#102×C67C2311yescharacteristic, complemented
487C22⋊C8×C67C2311yescharacteristic
488C22⋊C8×C67C2311yescharacteristic, complemented
489#97×C67C2311yescharacteristic, complemented
490C23×D67—21no—
491C23×D67—21no—
492C23×D67—21no—
493C23×D67—21no—
494C23×D67—21no—
495C23×D67—21no—
496C23×D67—44no—
497C23×D67—82no—
498C23×D67—82no—
499C23×D67C2×D411yescharacteristic
500#11761628—22no—
501#11761628—41no—
502#11761628—41no—
503#11761628—41no—
504#11761627—22no—
505#11761627—41no—
506#11761627—41no—
507#11761627—41no—
508#11761627—41no—
509#11761627—41no—
510#11761627—41no—
511#11761627—41no—
512#11761627—44no—
513C2×Dic134—21no—
514C2×Dic134—21no—
515C2×Dic134—21no—
516C2×Dic134—41no—
517C2×Dic134—41no—
518C2×Dic134—41no—
519C2×Dic134—41no—
520C2×Dic134C2×D411yescharacteristic
521C2×Dic134C2411yescharacteristic
522C2×Dic134C2411yescharacteristic
523C2×Dic134C2411yescharacteristic
524C2×Dic134C2411yescharacteristic
525C2×D268—22no—
526C2×D268—21no—
527C2×D268—21no—
528C2×D268—41no—
529C2×D268C2×D411yescharacteristic
530C2×D268C2×D411yescharacteristic
531C2×D268C2411yescharacteristic
532C2×D268C2411yescharacteristic
533C2×C22⋊D67—21no—
534C2×C22⋊D67—21no—
535C2×C22⋊D67—21no—
536C2×C22⋊D67—21no—
537C2×C22⋊D67—21no—
538C2×C22⋊D67—21no—
539C2×C22⋊D67—21no—
540C2×C22⋊D67—21no—
541C2×C22⋊D67—21no—
542C2×C22⋊D67—21no—
543C2×C22⋊D67—21no—
544C2×C22⋊D67—21no—
545C2×C22⋊D67—21no—
546C2×C22⋊D67—21no—
547C2×C22⋊D67—21no—
548C2×C22⋊D67—21no—
549C2×C22⋊D67—44no—
550C2×C22⋊D67—44no—
551C2×C22⋊D67—44no—
552C2×C22⋊D67—82no—
553C2×C22⋊D67C2×D411yescharacteristic
554C2×C22⋊D67C2×D411yescharacteristic
555C2×C22⋊D67C2×D411yescharacteristic
556C2×C22⋊D67C2×D411yescharacteristic
557D4×D67—22no—
558D4×D67—22no—
559D4×D67—22no—
560D4×D67—22no—
561D4×D67—22no—
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—82no—
571D4×D67—82no—
572C22×Dic67—21no—
573C22×Dic67—21no—
574C22×Dic67—21no—
575C22×Dic67—21no—
576C22×Dic67—21no—
577C22×Dic67—21no—
578C22×Dic67—21no—
579C22×Dic67C2×D411yescharacteristic
580C2×C4×D67—21no—
581C2×C4×D67—21no—
582C2×C4×D67—21no—
583C2×C4×D67—21no—
584C2×C4×D67—41no—
585C2×C4×D67—41no—
586C2×C4×D67C2×D411yescharacteristic
587C2×C4×D67C2×D411yescharacteristic
588C2×C4×D67C2411yescharacteristic
589C2×C4×D67C2411yescharacteristic
590C2×C4×D67C2411yescharacteristic
591Dic268—41no—
592Dic268—41no—
593Dic268—41no—
594#11761617—22no—
595#11761617—22no—
596#11761617—22no—
597#11761617—41no—
598#11761617—41no—
599#11761617—41no—
600#11761616—22no—
601#11761616—22no—
602#11761616—22no—
603#11761616—41no—
604#11761616—41no—
605#11761616—41no—
606#11761616—41no—
607#11761616—41no—
608#11761616—41no—
609#11761616—41no—
610#11761613—22no—
611#11761613—41no—
612#11761611—41no—
613#11761611—41no—
614#11761611—41no—
615C2×C67⋊C8—41no—
616C2×C67⋊C8—41no—
617C2×C67⋊C8C2411yescharacteristic
618C2×C67⋊C8C2411yescharacteristic
619C2×C67⋊C8C2411yescharacteristic
620C2×C67⋊C8C2411yescharacteristic
621C8×D67—41no—
622C4⋊Dic67—21no—
623C4⋊Dic67—21no—
624C4⋊Dic67—21no—
625C4⋊Dic67—21no—
626C4⋊Dic67—21no—
627C4⋊Dic67—21no—
628C4⋊Dic67—21no—
629C4⋊Dic67—21no—
630C4⋊Dic67—21no—
631C4⋊Dic67—21no—
632C4⋊Dic67C2×D411yescharacteristic
633C4⋊Dic67C2411yescharacteristic
634C4⋊Dic67C2411yescharacteristic
635Dic67⋊C4—21no—
636Dic67⋊C4—21no—
637Dic67⋊C4—21no—
638Dic67⋊C4—21no—
639Dic67⋊C4—21no—
640Dic67⋊C4—21no—
641Dic67⋊C4—21no—
642Dic67⋊C4—21no—
643Dic67⋊C4C2×D411yescharacteristic
644Dic67⋊C4C2×D411yescharacteristic
645Dic67⋊C4C2×D411yescharacteristic
646Dic67⋊C4C2×D411yescharacteristic
647C22⋊Dic67—21no—
648C22⋊Dic67—21no—
649C22⋊Dic67—21no—
650C22⋊Dic67—21no—
651C22⋊Dic67—21no—
652C22⋊Dic67—21no—
653C22⋊Dic67—21no—
654C22⋊Dic67—21no—
655C22⋊Dic67—21no—
656C22⋊Dic67—21no—
657C22⋊Dic67—21no—
658C22⋊Dic67C2×D411yescharacteristic
659C22⋊Dic67C2×D411yescharacteristic
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)⋊C4—21no—
675(C2×D67)⋊C4—21no—
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—
686C4×Dic67—21no—
687C4×Dic67C2411yescharacteristic
688C24×C67—21no—
689C24×C67—21no—
690C2×D4×C67—22no—
691C2×D4×C67—22no—
692C2×D4×C67—21no—
693C2×D4×C67—21no—
694C2×D4×C67—21no—
695C2×D4×C67—21no—
696C2×D4×C67—21no—
697C2×D4×C67—21no—
698C2×D4×C67—21no—
699C2×D4×C67—21no—
700C2×D4×C67—41no—
701C2×D4×C67—41no—
702C2×D4×C67—82no—
703C2×D4×C67C2×D411yescharacteristic
704C2×D4×C67C2411yescharacteristic
705C2×D4×C67C2411yescharacteristic
706C2×D4×C67C2411yescharacteristic
707C2×D4×C67C2411yescharacteristic
708C22×C4×C67—21no—
709C22×C4×C67—21no—
710C22×C4×C67—21no—
711C22×C4×C67C2411yescharacteristic
712C22×C4×C67C2411yescharacteristic
713D8×C67—22no—
714D8×C67—41no—
715D8×C67—41no—
716M16×C67—41no—
717C2×C8×C67—41no—
718C2×C8×C67C2411yescharacteristic
719C2×C8×C67C2411yescharacteristic
720C2×C8×C67C2411yescharacteristic
721C2×C8×C67C2411yescharacteristic
722C4⋊C4×C67—21no—
723C4⋊C4×C67—21no—
724C4⋊C4×C67—21no—
725C4⋊C4×C67C2×D411yescharacteristic
726C4⋊C4×C67C2411yescharacteristic
727C4⋊C4×C67C2411yescharacteristic
728C4⋊C4×C67C2411yescharacteristic
729C4⋊C4×C67C2411yescharacteristic
730C22⋊C4×C67—21no—
731C22⋊C4×C67—21no—
732C22⋊C4×C67—21no—
733C22⋊C4×C67—21no—
734C22⋊C4×C67—21no—
735C22⋊C4×C67—21no—
736C22⋊C4×C67—21no—
737C22⋊C4×C67C2×D411yescharacteristic
738C22⋊C4×C67C2×D411yescharacteristic
739C42×C67—21no—
740C42×C67C2411yescharacteristic
741C23×C67—21no—
742C23×C67—21no—
743C23×C67—21no—
744C23×C67—21no—
745C23×C67—42no—
746C23×C67—42no—
747C23×C67—42no—
748C23×C67—81no—
749C23×C67—81no—
750C23×C67—81no—
751C23×C67C22×D411yescharacteristic
752C23×C67C22×D411yescharacteristic
753C22×D67—22no—
754C22×D67—21no—
755C22×D67—24no—
756C22×D67—21no—
757C22×D67—41no—
758C22×D67—41no—
759C22×D67—42no—
760C22×D67—42no—
761C22×D67—42no—
762C22×D67—42no—
763C22×D67—42no—
764C22×D67—42no—
765C22×D67—42no—
766C22×D67—42no—
767C22×D67—81no—
768C22×D67—81no—
769C22×D67—81no—
770C22×D67—81no—
771C22×D67—81no—
772C22×D67—81no—
773C22×D67—81no—
774C22×D67—81no—
775C22×D67—81no—
776C22×D67—816no—
777C22×D67C22×D411yescharacteristic
778C22×D67C22×D411yescharacteristic
779C22×D67C22×D411yescharacteristic
780D4×C67—22no—
781D4×C67—21no—
782D4×C67—21no—
783D4×C67—21no—
784D4×C67—21no—
785D4×C67—21no—
786D4×C67—21no—
787D4×C67—21no—
788D4×C67—42no—
789D4×C67—42no—
790D4×C67—42no—
791D4×C67—42no—
792D4×C67—81no—
793D4×C67—81no—
794D4×C67—81no—
795D4×C67—81no—
796D4×C67H(5,𝔽2)12yes—
797C2×C4×C67—21no—
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—81no—
806C2×C4×C67—81no—
807C2×C4×C67—81no—
808C2×C4×C67C22×D411yescharacteristic
809C2×C4×C67C22×D411yescharacteristic
810C2×C4×C67C22×D411yescharacteristic
811C2×C4×C67C22×D411yescharacteristic
812C2×C4×C67C2511yescharacteristic
813C22⋊D67—24no—
814C22⋊D67—22no—
815C22⋊D67—41no—
816C22⋊D67—41no—
817C22⋊D67—41no—
818C22⋊D67—42no—
819C22⋊D67—42no—
820C22⋊D67—42no—
821C22⋊D67—42no—
822C22⋊D67—42no—
823C22⋊D67—42no—
824C22⋊D67—42no—
825C22⋊D67—42no—
826C22⋊D67—81no—
827C22⋊D67—81no—
828C22⋊D67—81no—
829C22⋊D67—81no—
830C22⋊D67—81no—
831C22⋊D67—81no—
832C22⋊D67—81no—
833C2×Dic67—21no—
834C2×Dic67—21no—
835C2×Dic67—21no—
836C2×Dic67—21no—
837C2×Dic67—21no—
838C2×Dic67—21no—
839C2×Dic67—41no—
840C2×Dic67—42no—
841C2×Dic67—42no—
842C2×Dic67—81no—
843C2×Dic67—81no—
844C2×Dic67—81no—
845C2×Dic67—81no—
846C2×Dic67—81no—
847C2×Dic67C22×D411yescharacteristic
848C2×Dic67C22×D411yescharacteristic
849C2×Dic67C22×D411yescharacteristic
850C2×Dic67C22×D411yescharacteristic
851C2×Dic67C22×D411yescharacteristic
852D268—21no—
853D268—21no—
854D268—21no—
855D268—41no—
856D268—41no—
857D268—42no—
858D268—81no—
859D268H(5,𝔽2)12yes—
860C4×D67—21no—
861C4×D67—21no—
862C4×D67—21no—
863C4×D67—21no—
864C4×D67—21no—
865C4×D67—21no—
866C4×D67—41no—
867C4×D67—41no—
868C4×D67—42no—
869C4×D67—81no—
870C4×D67—81no—
871C4×D67—81no—
872Dic134—21no—
873Dic134—21no—
874Dic134—21no—
875Dic134—21no—
876Dic134—21no—
877Dic134—21no—
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—22no—
896C22×C67—21no—
897C22×C67—21no—
898C22×C67—41no—
899C22×C67—41no—
900C22×C67—41no—
901C22×C67—41no—
902C22×C67—41no—
903C22×C67—41no—
904C22×C67—41no—
905C22×C67—41no—
906C22×C67—41no—
907C22×C67—41no—
908C22×C67—41no—
909C22×C67—84no—
910C22×C67—162no—
911C22×C67#57712yes—
912C22×C67C23×D411yescharacteristic
913C2×D67—21no—
914C2×D67—21no—
915C2×D67—21no—
916C2×D67—21no—
917C2×D67—21no—
918C2×D67—21no—
919C2×D67—22no—
920C2×D67—21no—
921C2×D67—21no—
922C2×D67—21no—
923C2×D67—44no—
924C2×D67—41no—
925C2×D67—41no—
926C2×D67—41no—
927C2×D67—41no—
928C2×D67—41no—
929C2×D67—84no—
930C2×D67—84no—
931C2×D67—84no—
932C2×D67—84no—
933C2×D67—84no—
934C2×D67—162no—
935C4×C67—21no—
936C4×C67—21no—
937C4×C67—21no—
938C4×C67—21no—
939C4×C67—41no—
940C4×C67—41no—
941C4×C67—41no—
942C4×C67—41no—
943C4×C67C2×H(5,𝔽2)11yescharacteristic
944C4×C67C2×H(5,𝔽2)11yescharacteristic
945Dic67—21no—
946Dic67—21no—
947Dic67—21no—
948Dic67—21no—
949Dic67—21no—
950Dic67—41no—
951Dic67—41no—
952Dic67—41no—
953Dic67—41no—
954Dic67—41no—
955Dic67—41no—
956#61610—671nomaximal, Sylow
957C2×C67—22no—
958C2×C67—42no—
959C2×C67—41no—
960C2×C67—81no—
961C2×C67—81no—
962C2×C67—81no—
963C2×C67#348411yescharacteristic
964C2×C67C2×#57711yescharacteristic
965C2×C67#358511yescharacteristic
966D67—41no—
967D67—41no—
968D67—41no—
969D67—42no—
970D67—81no—
971#3541—671no—
972#3484—671no—
973#3324—671no—
974#3323—671no—
975#3318D6711yescharacteristic, complemented
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#3222—671no—
991#3200—671no—
992#3198—671no—
993#3196—671no—
994#3191—671no—
995#3123—671no—
996#3118—671no—
997#3012—671no—
998#3009—671no—
999#3003—671no—
1000C2×#450—671no—
1001#2976—671no—
1002C67#6161011yescharacteristic, complemented, Sylow
1003C2×H(5,𝔽2)—671no—
1004C23×D4—671no—
1005C2×#137—671no—
1006C2×AGL(1,ℤ/8)—671no—
1007C2×AGL(1,ℤ/8)—671no—
1008C2×AGL(1,ℤ/8)—671no—
1009C2×#135—671no—
1010C22×SD16—671no—
1011C22×SD16—671no—
1012C22×SD16—671no—
1013#563—1341no—
1014#562—1341no—
1015#556—671no—
1016#554—671no—
1017#554—1341no—
1018#553—1341no—
1019#553C2×D6711yescharacteristic, complemented
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—1341no—
1035D42—1341no—
1036D42C2×D6711yescharacteristic
1037#542—671no—
1038#542—1341no—
1039#541—671no—
1040#539—1341no—
1041#538—1341no—
1042#538—1341no—
1043#537—671no—
1044#536—671no—
1045#535—671no—
1046#535—671no—
1047#534—1341no—
1048#534—1341no—
1049#525—671no—
1050#525—671no—
1051#525—671no—
1052C2×C22⋊Q8—671no—
1053C2×#120—1341no—
1054C2×#120—1341no—
1055#518—671no—
1056#497—671no—
1057#496—671no—
1058#495—671no—
1059#492—671no—
1060#490C2×D6711yescharacteristic, complemented
1061#489—671no—
1062#488—671no—
1063#486—671no—
1064#485—671no—
1065#485—671no—
1066#485—671no—
1067#485—671no—
1068#484—671no—
1069#482—671no—
1070#482—671no—
1071#482—671no—
1072#482C2×D6711yescharacteristic, complemented
1073#481—671no—
1074#481C2×D6711yescharacteristic, complemented
1075#480—671no—
1076#478—671no—
1077#478C2×D6711yescharacteristic, complemented
1078#476—671no—
1079#474—671no—
1080#470—671no—
1081#470—671no—
1082#469C2×D6711yescharacteristic, complemented
1083#468—671no—
1084#468—671no—
1085#468—671no—
1086#468—671no—
1087#468—671no—
1088#467—671no—
1089#466—671no—
1090#466C2×D6711yescharacteristic, complemented
1091#465—671no—
1092#465—671no—
1093#465—671no—
1094#465—671no—
1095#465—671no—
1096#464—671no—
1097#464—671no—
1098#464—671no—
1099#463—671no—
1100#463—671no—
1101#463—671no—
1102#461—671no—
1103#461—671no—
1104#460—671no—
1105#460—671no—
1106#460—671no—
1107#459C2×D6711yescharacteristic, complemented
1108#452—671no—
1109#452—671no—
1110#452—671no—
1111#452—671no—
1112#452—671no—
1113#452—671no—
1114#452—671no—
1115#451—671no—
1116#450—671no—
1117#450—671no—
1118#450—671no—
1119#450—671no—
1120#450—671no—
1121#450—671no—
1122#450—671no—
1123#450—671no—
1124#450—671no—
1125#450—671no—
1126#450—671no—
1127#450—671no—
1128#450—671no—
1129#450—671no—
1130#450—671no—
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#447C2×D6711yescharacteristic, complemented
1143#447C2×D6711yescharacteristic, complemented
1144#442C2×D6711yescharacteristic, complemented
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#435C2×D6711yescharacteristic, complemented
1158C8×D4—671no—
1159C8×D4—671no—
1160#433—671no—
1161#433—671no—
1162#418—671no—
1163#418—671no—
1164#418C2×D6711yescharacteristic, complemented
1165#417—671no—
1166#416—671no—
1167C2×#102—671no—
1168C2×#102—671no—
1169C2×#102C2×D6711yescharacteristic, complemented
1170#408—671no—
1171#408—671no—
1172#407—671no—
1173C2×C22⋊C8—671no—
1174C25—1341no—
1175H(5,𝔽2)—2682no—
1176H(5,𝔽2)—2682no—
1177C2×#41—671no—
1178C2×#41—671no—
1179C2×#41—671no—
1180C2×#41—671no—
1181C2×#41—671no—
1182C2×#41—671no—
1183C2×#41—1341no—
1184C22×Q8—671no—
1185C22×Q8—671no—
1186C22×D4—21no—
1187C22×D4—2682no—
1188C22×D4—2682no—
1189C22×D4—671no—
1190C22×D4—671no—
1191C22×D4—671no—
1192C22×D4—671no—
1193C22×D4—671no—
1194C22×D4—671no—
1195C22×D4—1341no—
1196C22×D4—1341no—
1197C22×D4—1341no—
1198C22×D4—1341no—
1199C22×D4—1341no—
1200C22×D4—1341no—
1201C22×D4—1341no—
1202C22×D4—1341no—
1203C22×D4—1341no—
1204C22×D4C22×D6711yescharacteristic
1205C22×D4C22×D6711yescharacteristic
1206C23×C4—671no—
1207#137—2682no—
1208AGL(1,ℤ/8)—2682no—
1209AGL(1,ℤ/8)—2682no—
1210AGL(1,ℤ/8)—2682no—
1211#135—2682no—
1212C2×Q16—671no—
1213C2×Q16—671no—
1214C2×Q16—671no—
1215C2×SD16—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×SD16—671no—
1229C2×SD16—671no—
1230C2×SD16—671no—
1231C2×SD16—671no—
1232C2×SD16—671no—
1233C2×SD16—671no—
1234C2×D8—671no—
1235C2×D8—671no—
1236C2×D8C22×D6711yescharacteristic
1237C2×D8C22×D6711yescharacteristic
1238C2×D8C22×D6711yescharacteristic, complemented
1239C2×M16—671no—
1240C2×M16—671no—
1241C2×M16—671no—
1242C2×M16C22×D6711yescharacteristic, complemented
1243C22×C8—671no—
1244C22×C8—671no—
1245C22×C8—671no—
1246C22×C8C22×D6711yescharacteristic
1247C4⋊Q8—671no—
1248C4⋊Q8—671no—
1249C4⋊Q8—1341no—
1250C4⋊Q8—1341no—
1251#127—671no—
1252#127—1341no—
1253#127C22×D6711yescharacteristic
1254#126—21no—
1255#126—1341no—
1256#126—1341no—
1257#126—1341no—
1258#126—1341no—
1259#126—1341no—
1260#126—1341no—
1261#125—1341no—
1262#125—1341no—
1263#125—1341no—
1264#125—1341no—
1265#125C22×D6711yescharacteristic, complemented
1266#124—671no—
1267#124—671no—
1268#124—671no—
1269#124—1341no—
1270#124—1341no—
1271#124—1341no—
1272#124—1341no—
1273#124—1341no—
1274#124—1341no—
1275#123—21no—
1276#123—671no—
1277#123—671no—
1278#123—1341no—
1279#123—1341no—
1280#123—1341no—
1281#123—1341no—
1282#123—1341no—
1283#123—1341no—
1284#123—1341no—
1285#123—1341no—
1286#123—1341no—
1287#123—1341no—
1288#123—1341no—
1289#123—1341no—
1290C22⋊Q8—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—671no—
1302C22⋊Q8—671no—
1303C22⋊Q8—1341no—
1304C22⋊Q8—1341no—
1305C22⋊Q8—1341no—
1306C22⋊Q8—1341no—
1307C22⋊Q8—1341no—
1308C22⋊Q8—1341no—
1309C22⋊Q8—1341no—
1310C22⋊Q8—1341no—
1311C22⋊Q8—1341no—
1312C22⋊Q8—1341no—
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—1341no—
1323#121—1341no—
1324#121—1341no—
1325#121—1341no—
1326#121—1341no—
1327#121—1341no—
1328#121—1341no—
1329#121—1341no—
1330#121—1341no—
1331#121—1341no—
1332#121—1341no—
1333#121—1341no—
1334#121—1341no—
1335#121—1341no—
1336#121—1341no—
1337#121C22×D6711yescharacteristic
1338#121C22×D6711yescharacteristic
1339#121C22×D6711yescharacteristic
1340#121C22×D6711yescharacteristic, complemented
1341#120—21no—
1342#120—21no—
1343#120—671no—
1344#120—671no—
1345#120—1341no—
1346#120—1341no—
1347#120—1341no—
1348#120—1341no—
1349#120—1341no—
1350#120—1341no—
1351#120—1341no—
1352#120—1341no—
1353#120—1341no—
1354#120—1341no—
1355#120—1341no—
1356#120—1341no—
1357#120—1341no—
1358#120—1341no—
1359#120—1341no—
1360#120—1341no—
1361C4×Q8—671no—
1362C4×Q8—671no—
1363C4×Q8—671no—
1364C4×Q8—1341no—
1365C4×D4—21no—
1366C4×D4—671no—
1367C4×D4—671no—
1368C4×D4—671no—
1369C4×D4—671no—
1370C4×D4—671no—
1371C4×D4—671no—
1372C4×D4—1341no—
1373C4×D4—1341no—
1374C4×D4—1341no—
1375C4×D4—1341no—
1376C4×D4—1341no—
1377C4×D4—1341no—
1378C4×D4—1341no—
1379C4×D4—1341no—
1380C4×D4—1341no—
1381C4×D4—1341no—
1382C4×D4C22×D6711yescharacteristic
1383C4×D4C22×D6711yescharacteristic
1384C4×D4C22×D6711yescharacteristic, complemented
1385#117—671no—
1386#117—671no—
1387#117—671no—
1388#117—1341no—
1389#117C22×D6711yescharacteristic, complemented
1390C2×C4⋊C4—671no—
1391C2×C4⋊C4—1341no—
1392C2×C4⋊C4—1341no—
1393C2×C4⋊C4C22×D6711yescharacteristic
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#107C22×D6711yescharacteristic, complemented
1405#106—671no—
1406#106—671no—
1407#106C22×D6711yescharacteristic, complemented
1408#106C22×D6711yescharacteristic, complemented
1409C4⋊C8—671no—
1410C4⋊C8—671no—
1411C4⋊C8—671no—
1412C4⋊C8C22×D6711yescharacteristic, complemented
1413#103—671no—
1414#103—671no—
1415#103—671no—
1416#103—671no—
1417#103—671no—
1418#103—671no—
1419#103—671no—
1420#103—671no—
1421#103—671no—
1422#103—671no—
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#102C22×D6711yescharacteristic
1436#102C22×D6711yescharacteristic
1437#102C22×D6711yescharacteristic
1438#102C22×D6711yescharacteristic
1439#102C22×D6711yescharacteristic
1440#102C22×D6711yescharacteristic
1441#102C22×D6711yescharacteristic, complemented
1442#102C22×D6711yescharacteristic, complemented
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, complemented
1457#97—671no—
1458#97C22×D6711yescharacteristic, complemented
1459C4×C8—671no—
1460C4×C8—671no—
1461C24—21no—
1462C24—21no—
1463C24—2684no—
1464C24—5362no—
1465C24—5362no—
1466C24—671no—
1467C24—1341no—
1468C24—1341no—
1469C24—1341no—
1470C24—1341no—
1471C24—1341no—
1472C24—1341no—
1473#41—2681no—
1474#41—2681no—
1475#41—2681no—
1476#41—2684no—
1477#41—2681no—
1478#41—2681no—
1479#41—2681no—
1480#41—2681no—
1481#41—2681no—
1482#41—2681no—
1483#41—2681no—
1484#41—1342no—
1485#41—1342no—
1486C2×Q8—2681no—
1487C2×Q8—2681no—
1488C2×Q8—2681no—
1489C2×Q8—2681no—
1490C2×Q8—671no—
1491C2×Q8—671no—
1492C2×Q8—671no—
1493C2×Q8—671no—
1494C2×Q8—671no—
1495C2×Q8—1341no—
1496C2×Q8—1341no—
1497C2×Q8—1341no—
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—41no—
1509C2×D4—41no—
1510C2×D4—82no—
1511C2×D4—2681no—
1512C2×D4—2684no—
1513C2×D4—2684no—
1514C2×D4—2684no—
1515C2×D4—2684no—
1516C2×D4—2684no—
1517C2×D4—2684no—
1518C2×D4—2681no—
1519C2×D4—2681no—
1520C2×D4—2681no—
1521C2×D4—2681no—
1522C2×D4—2681no—
1523C2×D4—5362no—
1524C2×D4—5362no—
1525C2×D4—5362no—
1526C2×D4—671no—
1527C2×D4—671no—
1528C2×D4—671no—
1529C2×D4—671no—
1530C2×D4—671no—
1531C2×D4—671no—
1532C2×D4—671no—
1533C2×D4—671no—
1534C2×D4—1342no—
1535C2×D4—1341no—
1536C2×D4—1341no—
1537C2×D4—1341no—
1538C2×D4—1341no—
1539C2×D4—1341no—
1540C2×D4—1341no—
1541C2×D4—1341no—
1542C2×D4—1341no—
1543C2×D4—1342no—
1544C2×D4—1342no—
1545C2×D4—1342no—
1546C2×D4—1341no—
1547C2×D4—1341no—
1548C2×D4—1341no—
1549C2×D4—1341no—
1550C2×D4—1342no—
1551C2×D4—1341no—
1552C2×D4—1341no—
1553C2×D4—1341no—
1554C2×D4—1341no—
1555C2×D4—1341no—
1556C2×D4—1342no—
1557C2×D4—1341no—
1558C2×D4D4×D6711yescharacteristic
1559C2×D4C23×D6711yescharacteristic
1560C2×D4C23×D6711yescharacteristic
1561C2×D4C23×D6711yescharacteristic
1562C2×D4C23×D6711yescharacteristic
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—2681no—
1567C22×C4—2681no—
1568C22×C4—671no—
1569C22×C4—671no—
1570C22×C4—671no—
1571C22×C4—671no—
1572C22×C4—671no—
1573C22×C4—671no—
1574C22×C4—1341no—
1575C22×C4—1341no—
1576C22×C4—1341no—
1577C22×C4—1341no—
1578C22×C4—1341no—
1579C22×C4—1341no—
1580C22×C4—1341no—
1581C22×C4—1341no—
1582C22×C4—1341no—
1583C22×C4—1341no—
1584C22×C4—1341no—
1585C22×C4C23×D6711yescharacteristic
1586C22×C4C23×D6711yescharacteristic
1587Q16—2681no—
1588Q16—2681no—
1589Q16—2681no—
1590SD16—2681no—
1591SD16—2681no—
1592SD16—2681no—
1593SD16—2681no—
1594SD16—2681no—
1595SD16—2681no—
1596SD16—2681no—
1597SD16—2681no—
1598SD16—2681no—
1599SD16—2681no—
1600SD16—1342no—
1601SD16—1342no—
1602SD16—1342no—
1603SD16—1342no—
1604SD16—1342no—
1605SD16—1342no—
1606D8—22no—
1607D8—41no—
1608D8—41no—
1609D8—2681no—
1610D8—1342no—
1611M16—41no—
1612M16—2681no—
1613M16—2681no—
1614M16—2681no—
1615C2×C8—41no—
1616C2×C8—2681no—
1617C2×C8—2681no—
1618C2×C8—2681no—
1619C2×C8—671no—
1620C2×C8—671no—
1621C2×C8—671no—
1622C2×C8—671no—
1623C2×C8C23×D6711yescharacteristic
1624C2×C8C23×D6711yescharacteristic
1625C2×C8C23×D6711yescharacteristic
1626C2×C8C23×D6711yescharacteristic
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—671no—
1631C4⋊C4—671no—
1632C4⋊C4—671no—
1633C4⋊C4—671no—
1634C4⋊C4—671no—
1635C4⋊C4—671no—
1636C4⋊C4—671no—
1637C4⋊C4—1341no—
1638C4⋊C4—1341no—
1639C4⋊C4—1341no—
1640C4⋊C4—1341no—
1641C4⋊C4—1341no—
1642C4⋊C4—1341no—
1643C4⋊C4—1341no—
1644C4⋊C4—1341no—
1645C4⋊C4—1341no—
1646C4⋊C4—1341no—
1647C4⋊C4—1341no—
1648C4⋊C4—1341no—
1649C4⋊C4—1341no—
1650C4⋊C4—1341no—
1651C4⋊C4—1341no—
1652C4⋊C4—1341no—
1653C4⋊C4—1341no—
1654C4⋊C4—1341no—
1655C4⋊C4D4×D6711yescharacteristic
1656C4⋊C4C23×D6711yescharacteristic
1657C4⋊C4C23×D6711yescharacteristic
1658C4⋊C4C23×D6711yescharacteristic
1659C4⋊C4C23×D6711yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—671no—
1668C22⋊C4—671no—
1669C22⋊C4—671no—
1670C22⋊C4—671no—
1671C22⋊C4—671no—
1672C22⋊C4—671no—
1673C22⋊C4—671no—
1674C22⋊C4—671no—
1675C22⋊C4—1341no—
1676C22⋊C4—1341no—
1677C22⋊C4—1341no—
1678C22⋊C4—1341no—
1679C22⋊C4—1341no—
1680C22⋊C4—1341no—
1681C22⋊C4—1341no—
1682C22⋊C4—1341no—
1683C22⋊C4—1341no—
1684C22⋊C4—1341no—
1685C22⋊C4—1341no—
1686C22⋊C4—1341no—
1687C22⋊C4—1341no—
1688C22⋊C4—1341no—
1689C22⋊C4—1341no—
1690C22⋊C4—1341no—
1691C22⋊C4—1341no—
1692C22⋊C4—1341no—
1693C22⋊C4—1341no—
1694C22⋊C4—1341no—
1695C22⋊C4—1341no—
1696C22⋊C4—1341no—
1697C22⋊C4—1341no—
1698C22⋊C4—1341no—
1699C22⋊C4—1341no—
1700C22⋊C4—1341no—
1701C22⋊C4—1341no—
1702C22⋊C4D4×D6711yescharacteristic
1703C22⋊C4D4×D6711yescharacteristic
1704C42—21no—
1705C42—671no—
1706C42—1341no—
1707C42—1341no—
1708C42—1341no—
1709C42—1341no—
1710C42—1341no—
1711C42C23×D6711yescharacteristic
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—21no—
1716C23—42no—
1717C23—42no—
1718C23—42no—
1719C23—81no—
1720C23—81no—
1721C23—81no—
1722C23—2681no—
1723C23—2681no—
1724C23—2682no—
1725C23—2682no—
1726C23—2682no—
1727C23—2682no—
1728C23—2682no—
1729C23—2682no—
1730C23—2682no—
1731C23—2682no—
1732C23—5361no—
1733C23—5361no—
1734C23—5361no—
1735C23—5361no—
1736C23—5361no—
1737C23—5361no—
1738C23—5361no—
1739C23—5361no—
1740C23—5361no—
1741C23—53616no—
1742C23—671no—
1743C23—671no—
1744C23—671no—
1745C23—1344no—
1746C23—1341no—
1747C23—1342no—
1748C23—1341no—
1749C23C2×D4×D6711yescharacteristic
1750C23C2×D4×D6711yescharacteristic
1751Q8—2681no—
1752Q8—5361no—
1753Q8—5361no—
1754Q8—5361no—
1755Q8—1341no—
1756Q8—1341no—
1757Q8—1341no—
1758Q8—1341no—
1759Q8—1341no—
1760Q8—1341no—
1761Q8—1341no—
1762Q8—1341no—
1763D4—22no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—21no—
1771D4—42no—
1772D4—42no—
1773D4—42no—
1774D4—42no—
1775D4—81no—
1776D4—81no—
1777D4—81no—
1778D4—81no—
1779D4—2682no—
1780D4—2681no—
1781D4—2681no—
1782D4—2682no—
1783D4—2682no—
1784D4—2682no—
1785D4—2682no—
1786D4—2682no—
1787D4—2681no—
1788D4—2681no—
1789D4—2681no—
1790D4—2682no—
1791D4—2682no—
1792D4—2682no—
1793D4—5361no—
1794D4—5361no—
1795D4—5361no—
1796D4—5361no—
1797D4—5361no—
1798D4—5361no—
1799D4—5361no—
1800D4—5361no—
1801D4—672no—
1802D4—1344no—
1803D4—1342no—
1804D4—1341no—
1805D4—1341no—
1806D4—1341no—
1807D4#1452408912yes—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—81no—
1817C2×C4—81no—
1818C2×C4—81no—
1819C2×C4—2682no—
1820C2×C4—2681no—
1821C2×C4—2681no—
1822C2×C4—2682no—
1823C2×C4—2682no—
1824C2×C4—2681no—
1825C2×C4—5361no—
1826C2×C4—5361no—
1827C2×C4—5361no—
1828C2×C4—5361no—
1829C2×C4—5361no—
1830C2×C4—5361no—
1831C2×C4—5361no—
1832C2×C4—5361no—
1833C2×C4—671no—
1834C2×C4—671no—
1835C2×C4—671no—
1836C2×C4—671no—
1837C2×C4—671no—
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×C4—1341no—
1850C2×C4C2×D4×D6711yescharacteristic
1851C2×C4C2×D4×D6711yescharacteristic
1852C2×C4C2×D4×D6711yescharacteristic
1853C2×C4C2×D4×D6711yescharacteristic
1854C2×C4C24×D6711yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—1341no—
1860C8—1341no—
1861C8—1341no—
1862C8—1341no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—22no—
1867C22—21no—
1868C22—21no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—84no—
1881C22—2684no—
1882C22—2681no—
1883C22—2681no—
1884C22—2681no—
1885C22—2681no—
1886C22—2681no—
1887C22—162no—
1888C22—5364no—
1889C22—5364no—
1890C22—5364no—
1891C22—5364no—
1892C22—5364no—
1893C22—10722no—
1894C22—1341no—
1895C22—1341no—
1896C22—1342no—
1897C22—1341no—
1898C22—1341no—
1899C22—1341no—
1900C22—1341no—
1901C22—1341no—
1902C22—1341no—
1903C22—1341no—
1904C22#1686420612yes—
1905C22C22×D4×D6711yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—2681no—
1915C4—2681no—
1916C4—2681no—
1917C4—2681no—
1918C4—2681no—
1919C4—2681no—
1920C4—1341no—
1921C4—1341no—
1922C4—1341no—
1923C4—1341no—
1924C4—1341no—
1925C4H(5,𝔽2)×D6711yescharacteristic
1926C4C2×#1452408911yescharacteristic
1927C2—22no—
1928C2—41no—
1929C2—42no—
1930C2—81no—
1931C2—81no—
1932C2—81no—
1933C2—2681no—
1934C2—2681no—
1935C2—2682no—
1936C2—2681no—
1937C2—5361no—
1938C2#2257383911yescharacteristic
1939C2C2×#1686420611yescharacteristic
1940C2#2257498411yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3318C2
socleC22×C67C23×D4
hypercenter#3318D67
hypocenterC67#61610
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #22574496C2semidirect
2. #22573837C2semidirect
3. #22572436C2semidirect
4. #22572422C2semidirect
5. #22572286C2semidirect
6. #22572243C2semidirect
7. #22572229C2semidirect
8. #22572053C2semidirect
9. #22572031C2semidirect
10. #22571920C2semidirect
11. D4×#11761616C2semidirect
12. #22571847C2semidirect
13. #22571804C2semidirect
14. #22571736C2semidirect
15. #22571724C2semidirect
16. #22571708C2semidirect
17. #22571701C2semidirect
18. #22571300C2semidirect
19. #22571282C2semidirect
20. #22571083C2semidirect
21. #22571056C2semidirect
22. #22571038C2semidirect
23. #22570996C2semidirect
24. #22570463C2semidirect
25. #22570391C2semidirect
26. #22569508C2semidirect
27. #22569487C2semidirect
28. #22569433C2semidirect
29. C2×#16863548C2semidirect
30. #22569258C2semidirect
31. C67×#3318C2semidirect
34. C2×#14524076C22semidirect
35. C2×#14524067C22semidirect
36. C2×#14524067C22semidirect
37. C2×#14524067C22semidirect
38. C2×#14524062C22semidirect
39. C22×#11761617C22semidirect
40. C22×#11761616C22semidirect
41. C22×#11761616C22semidirect
44. #16864114C22semidirect
46. #16864101C22semidirect
48. #16864084C22semidirect
49. D4×Dic134C22semidirect
50. #16864052C22semidirect
51. #16864052C22semidirect
52. #16864050C22semidirect
65. #16864011C22semidirect
66. #16864009C22semidirect
70. #16863975C22semidirect
71. #16863972C22semidirect
77. #16863906C22semidirect
79. C2×#14524023C22semidirect
83. #16863790C22semidirect
84. #16863784C22semidirect
85. #16863779C22semidirect
86. #16863768C22semidirect
87. #16863754C22semidirect
88. #16863753C22semidirect
89. #16863741C22semidirect
90. #16863740C22semidirect
91. #16863740C22semidirect
92. #16863739C22semidirect
93. #16863739C22semidirect
94. #16863731C22semidirect
95. #16863720C22semidirect
96. #16863718C22semidirect
97. #16863718C22semidirect
98. #16863716C22semidirect
99. #16863708C22semidirect
100. #16863693C22semidirect
101. #16863685C22semidirect
102. #16863674C22semidirect
103. #16863655C22semidirect
104. #16863655C22semidirect
105. #16863643C22semidirect
106. #16863642C22semidirect
107. #16863641C22semidirect
108. #16863641C22semidirect
109. #16863641C22semidirect
110. #16863637C22semidirect
111. #16863630C22semidirect
112. #16863626C22semidirect
113. #16863624C22semidirect
114. #16863623C22semidirect
115. #16863623C22semidirect
116. #16863623C22semidirect
117. #16863619C22semidirect
118. #16863617C22semidirect
119. #16863617C22semidirect
120. #16863611C22semidirect
121. #16863610C22semidirect
122. #16863609C22semidirect
123. #16863602C22semidirect
124. #16863601C22semidirect
125. #16863595C22semidirect
126. #16863595C22semidirect
127. #16863593C22semidirect
128. #16863560C22semidirect
129. #16863559C22semidirect
130. #16863559C22semidirect
131. #16863559C22semidirect
132. #16863559C22semidirect
133. #16863559C22semidirect
134. #16863559C22semidirect
135. #16863554C22semidirect
136. #16863549C22semidirect
140. #16863548C22semidirect
141. #16863548C22semidirect
142. #16863548C22semidirect
143. #16863548C22semidirect
144. #16863548C22semidirect
145. #16863548C22semidirect
146. #16863548C22semidirect
147. #16863548C22semidirect
148. #16863548C22semidirect
149. #16863547C22semidirect
150. #16863547C22semidirect
151. #16863542C22semidirect
152. #16863539C22semidirect
153. #16863538C22semidirect
154. #16863538C22semidirect
155. #16863538C22semidirect
156. #16863537C22semidirect
157. #16863534C22semidirect
158. #16863534C22semidirect
159. #16863529C22semidirect
161. #16863528C22semidirect
162. #16863498C22semidirect
163. #16863495C22semidirect
164. #16863493C22semidirect
165. #16863487C22semidirect
166. #16863483C22semidirect
167. C4×#11761616C22semidirect
168. C4×#11761613C22semidirect
169. #16863473C22semidirect
170. #16863472C22semidirect
171. #16863469C22semidirect
172. #16863467C22semidirect
173. #16863464C22semidirect
174. D4×C67⋊C8C22semidirect
175. (C22⋊D67)⋊C8C22semidirect
176. #16863458C22semidirect
177. #16863456C22semidirect
178. #16863399C22semidirect
179. #16863399C22semidirect
180. #16863394C22semidirect
181. #16863390C22semidirect
182. C2×#14523963C22semidirect
183. #102×D67C22semidirect
184. #16863364C22semidirect
185. #16863361C22semidirect
186. #16863358C22semidirect
187. C2×(C2×D67)⋊C8C22semidirect
188. #553×C67C22semidirect
190. #490×C67C22semidirect
191. #482×C67C22semidirect
192. #481×C67C22semidirect
193. #478×C67C22semidirect
194. #469×C67C22semidirect
195. #466×C67C22semidirect
196. #459×C67C22semidirect
197. #447×C67C22semidirect
198. #447×C67C22semidirect
199. #442×C67C22semidirect
200. #435×C67C22semidirect
201. #418×C67C22semidirect
202. C2×#102×C67C22semidirect
212. C2×#11761627C23semidirect
214. C22×Dic134C23semidirect
238. C2×Dic268C23semidirect
239. C2×Dic268C23semidirect
240. C2×Dic268C23semidirect
256. C2×#11761616C23semidirect
257. C2×#11761616C23semidirect
258. C2×#11761616C23semidirect
259. C2×#11761616C23semidirect
264. C2×#11761611C23semidirect
266. C22×C67⋊C8C23semidirect
267. C2×C8×D67C23semidirect
269. #14524043C23semidirect
271. #14524042C23semidirect
287. #14524030C23semidirect
315. #14524023C23semidirect
316. #14524023C23semidirect
321. #14524022C23semidirect
371. C4×Dic134C23semidirect
372. #14524008C23semidirect
373. #14524008C23semidirect
396. C4⋊C4×D67C23semidirect
404. #14523977C23semidirect
405. #14523976C23semidirect
406. #14523976C23semidirect
407. #14523974C23semidirect
408. #14523974C23semidirect
409. C4⋊(C67⋊C8)C23semidirect
410. Dic67⋊C8C23semidirect
411. Dic67⋊C8C23semidirect
412. #14523968C23semidirect
413. #14523968C23semidirect
414. #14523968C23semidirect
415. #14523968C23semidirect
416. #14523966C23semidirect
417. #14523966C23semidirect
418. #14523966C23semidirect
419. #14523966C23semidirect
420. #14523966C23semidirect
421. #14523966C23semidirect
426. #14523964C23semidirect
427. #14523964C23semidirect
435. C22⋊(C67⋊C8)C23semidirect
442. (C2×D67)⋊C8C23semidirect
443. (C2×D67)⋊C8C23semidirect
444. #14523953C23semidirect
445. C4×C67⋊C8C23semidirect
446. C8×Dic67C23semidirect
452. C2×D8×C67C23semidirect
453. C2×M16×C67C23semidirect
457. #125×C67C23semidirect
464. #121×C67C23semidirect
470. C4×D4×C67C23semidirect
471. #117×C67C23semidirect
473. #107×C67C23semidirect
474. #106×C67C23semidirect
475. #106×C67C23semidirect
476. C4⋊C8×C67C23semidirect
483. #102×C67C23semidirect
484. #102×C67C23semidirect
485. #102×C67C23semidirect
486. #102×C67C23semidirect
488. C22⋊C8×C67C23semidirect
489. #97×C67C23semidirect
975. #3318D67semidirect
1002. C67#61610semidirect
1019. #553C2×D67semidirect
1060. #490C2×D67semidirect
1072. #482C2×D67semidirect
1074. #481C2×D67semidirect
1077. #478C2×D67semidirect
1082. #469C2×D67semidirect
1090. #466C2×D67semidirect
1107. #459C2×D67semidirect
1142. #447C2×D67semidirect
1143. #447C2×D67semidirect
1144. #442C2×D67semidirect
1157. #435C2×D67semidirect
1164. #418C2×D67semidirect
1169. C2×#102C2×D67semidirect
1238. C2×D8C22×D67semidirect
1242. C2×M16C22×D67semidirect
1265. #125C22×D67semidirect
1340. #121C22×D67semidirect
1384. C4×D4C22×D67semidirect
1389. #117C22×D67semidirect
1404. #107C22×D67semidirect
1407. #106C22×D67semidirect
1408. #106C22×D67semidirect
1412. C4⋊C8C22×D67semidirect
1441. #102C22×D67semidirect
1442. #102C22×D67semidirect
1443. #102C22×D67semidirect
1444. #102C22×D67semidirect
1456. C22⋊C8C22×D67semidirect
1458. #97C22×D67semidirect

Maximal subgroups

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

subgroupindex
#225744962
#225738372
#225724362
#225724222
#225722862
#225722432
#225722292
#225720532
#225720312
#225719202
D4×#117616162
#225718472
#225718042
#225717362
#225717242
#225717082
#225717012
#225713002
#225712822
#225710832
#225710562
#225710382
#225709962
#225704632
#225703912
#225695082
#225694872
#225694332
C2×#168635482
#225692582
C67×#33182
#6161067