Finite Group Databasebeta

← #31741894

Subgroups — #31741894

Order 17152.

2282 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574427C211yesmaximal, characteristic, complemented
2#22573843C211yesmaximal, characteristic, complemented
3#22572293C211yesmaximal, characteristic, complemented
4#22572285C211yesmaximal, characteristic, complemented
5#22572173C211yesmaximal, characteristic, complemented
6#22572165C211yesmaximal, characteristic, complemented
7#22572031C211yesmaximal, characteristic, complemented
8#22572028C211yesmaximal, characteristic, complemented
9#22572020C211yesmaximal, characteristic, complemented
10#22572017C211yesmaximal, characteristic, complemented
11#22571923C211yesmaximal, characteristic, complemented
12#22571919C211yesmaximal, characteristic, complemented
13#22571897C211yesmaximal, characteristic, complemented
14#22571892C211yesmaximal, characteristic, complemented
15#22571711C211yesmaximal, characteristic, complemented
16#22571707C211yesmaximal, characteristic, complemented
17#22571696C211yesmaximal, characteristic, complemented
18#22571692C211yesmaximal, characteristic, complemented
19#22571307C211yesmaximal, characteristic, complemented
20#22571299C211yesmaximal, characteristic, complemented
21#22571061C211yesmaximal, characteristic, complemented
22#22570994C211yesmaximal, characteristic, complemented
23#22570978C211yesmaximal, characteristic, complemented
24#22570396C211yesmaximal, characteristic, complemented
25#22570388C211yesmaximal, characteristic, complemented
26#22569516C211yesmaximal, characteristic, complemented
27#22569510C211yesmaximal, characteristic, complemented
28#450×D67C211yesmaximal, characteristic, complemented
29#447×D67C211yesmaximal, characteristic, complemented
30#22569261C211yesmaximal, characteristic, complemented
31C67×#3198C211yesmaximal, characteristic, complemented
32C2×#14524089C2211yescharacteristic, complemented
33C22×D4×D67C2211yescharacteristic
34C2×#14524071C2211yescharacteristic, complemented
35C2×#14524068C2211yescharacteristic, complemented
36C2×#14524065C2211yescharacteristic, complemented
37C2×#14524063C2211yescharacteristic, complemented
38C2×SD16×D67C2211yescharacteristic, complemented
39C2×SD16×D67C2211yescharacteristic, complemented
40C2×D8×D67C2211yescharacteristic, complemented
41C2×D8×D67C2211yescharacteristic, complemented
42#16864141—21no—
43#16864141—21no—
44#16864104C2211yescharacteristic, complemented
45#16864101C2211yescharacteristic, complemented
46#16864056C2211yescharacteristic, complemented
47#16864053C2211yescharacteristic, complemented
48#16864047C2211yescharacteristic, complemented
49#16864046C2211yescharacteristic, complemented
50#16864043—21no—
51#16864043C2211yescharacteristic
52#16864043C2211yescharacteristic
53#16864043C2211yescharacteristic, complemented
54#16864043C2211yescharacteristic, complemented
55#16864043C2211yescharacteristic, complemented
56#16864039—21no—
57#16864039—21no—
58#16864035—21no—
59#16864034C2211yescharacteristic, complemented
60#16864031—21no—
61#16864031—21no—
62#16864030C2211yescharacteristic
63#16864030C2211yescharacteristic
64#16864030C2211yescharacteristic, complemented
65#16864030C2211yescharacteristic, complemented
66#16864021—21no—
67#16864019C2211yescharacteristic, complemented
68#16864013C2211yescharacteristic, complemented
69#16863992—21no—
70#16863978—21no—
71#16863975—21no—
72#16863974C2211yescharacteristic, complemented
73#16863963C2211yescharacteristic, complemented
74#16863956—21no—
75#16863956—21no—
76#16863908C2211yescharacteristic
77#16863903C2211yescharacteristic
78C22⋊Q8×D67C2211yescharacteristic, complemented
79#121×D67C2211yescharacteristic, complemented
80#120×D67—21no—
81#120×D67—21no—
82#16863870C2211yescharacteristic, complemented
83#16863784C2211yescharacteristic, complemented
84#16863782C2211yescharacteristic, complemented
85#16863779C2211yescharacteristic, complemented
86#16863777C2211yescharacteristic, complemented
87#16863754C2211yescharacteristic, complemented
88#16863754C2211yescharacteristic, complemented
89#16863741C2211yescharacteristic, complemented
90#16863741C2211yescharacteristic, complemented
91#16863737C2211yescharacteristic, complemented
92#16863733C2211yescharacteristic, complemented
93#16863728C2211yescharacteristic, complemented
94#16863720C2211yescharacteristic, complemented
95#16863716C2211yescharacteristic, complemented
96#16863712C2211yescharacteristic, complemented
97#16863711C2211yescharacteristic, complemented
98#16863707C2211yescharacteristic, complemented
99#16863685C2211yescharacteristic, complemented
100#16863685C2211yescharacteristic, complemented
101#16863675C2211yescharacteristic, complemented
102#16863675C2211yescharacteristic, complemented
103#16863647C2211yescharacteristic, complemented
104#16863640C2211yescharacteristic, complemented
105#16863638C2211yescharacteristic, complemented
106#16863636C2211yescharacteristic, complemented
107#16863633C2211yescharacteristic, complemented
108#16863631C2211yescharacteristic, complemented
109#16863630C2211yescharacteristic, complemented
110#16863628C2211yescharacteristic, complemented
111#16863626C2211yescharacteristic, complemented
112#16863626C2211yescharacteristic, complemented
113#16863624C2211yescharacteristic, complemented
114#16863623C2211yescharacteristic, complemented
115#16863617C2211yescharacteristic, complemented
116#16863616C2211yescharacteristic, complemented
117#16863614C2211yescharacteristic, complemented
118#16863614C2211yescharacteristic, complemented
119#16863610C2211yescharacteristic, complemented
120#16863610C2211yescharacteristic, complemented
121#16863610C2211yescharacteristic, complemented
122#16863609C2211yescharacteristic, complemented
123#16863595C2211yescharacteristic, complemented
124#16863594C2211yescharacteristic, complemented
125#16863590C2211yescharacteristic, complemented
126#16863589C2211yescharacteristic, complemented
127#16863560C2211yescharacteristic, complemented
128#16863560C2211yescharacteristic, complemented
129#16863556C2211yescharacteristic, complemented
130#16863556C2211yescharacteristic, complemented
131#16863553C2211yescharacteristic, complemented
132#16863549C2211yescharacteristic, complemented
133#16863549C2211yescharacteristic, complemented
134#16863548C2211yescharacteristic, complemented
135#16863548C2211yescharacteristic, complemented
136#16863548C2211yescharacteristic, complemented
137#16863547C2211yescharacteristic, complemented
138#16863546C2211yescharacteristic, complemented
139#16863546C2211yescharacteristic, complemented
140#16863545C2211yescharacteristic, complemented
141#16863545C2211yescharacteristic, complemented
142#16863543C2211yescharacteristic, complemented
143#16863543C2211yescharacteristic, complemented
144#16863539C2211yescharacteristic, complemented
145#16863539C2211yescharacteristic, complemented
146#16863539C2211yescharacteristic, complemented
147#16863539C2211yescharacteristic, complemented
148#16863536C2211yescharacteristic, complemented
149#16863532C2211yescharacteristic
150#16863532C2211yescharacteristic, complemented
151#16863531C2211yescharacteristic, complemented
152#16863531C2211yescharacteristic, complemented
153#16863531C2211yescharacteristic, complemented
154#16863530C2211yescharacteristic, complemented
155#16863529C2211yescharacteristic
156#16863529C2211yescharacteristic, complemented
157#16863528C2211yescharacteristic, complemented
158#16863528C2211yescharacteristic, complemented
159#16863507C2211yescharacteristic, complemented
160#16863505C2211yescharacteristic, complemented
161#16863499C2211yescharacteristic, complemented
162#16863495C2211yescharacteristic, complemented
163#16863483C2211yescharacteristic, complemented
164#16863481C2211yescharacteristic, complemented
165#16863478C2211yescharacteristic, complemented
166#16863476C2211yescharacteristic, complemented
167#16863470C2211yescharacteristic, complemented
168#16863470C2211yescharacteristic, complemented
169#16863465C2211yescharacteristic, complemented
170#16863465C2211yescharacteristic, complemented
171C8×C22⋊D67C2211yescharacteristic, complemented
172C8×C22⋊D67C2211yescharacteristic, complemented
173(C22⋊D67)⋊C8C2211yescharacteristic, complemented
174(C22⋊D67)⋊C8C2211yescharacteristic, complemented
175#16863454C2211yescharacteristic, complemented
176#16863454C2211yescharacteristic, complemented
177#16863398C2211yescharacteristic, complemented
178#16863395C2211yescharacteristic, complemented
179C2×#14523965C2211yescharacteristic, complemented
180C2×#14523963C2211yescharacteristic, complemented
181#102×D67C2211yescharacteristic, complemented
182#102×D67C2211yescharacteristic, complemented
183#102×D67C2211yescharacteristic, complemented
184#102×D67C2211yescharacteristic, complemented
185#16863363C2211yescharacteristic, complemented
186C22⋊C8×D67C2211yescharacteristic, complemented
187C22⋊C8×D67C2211yescharacteristic, complemented
188#537×C67C2211yescharacteristic, complemented
189#535×C67C2211yescharacteristic, complemented
190#485×C67C2211yescharacteristic, complemented
191#482×C67C2211yescharacteristic, complemented
192#481×C67C2211yescharacteristic, complemented
193#480×C67C2211yescharacteristic, complemented
194#469×C67C2211yescharacteristic, complemented
195#468×C67C2211yescharacteristic, complemented
196#466×C67C2211yescharacteristic, complemented
197#465×C67C2211yescharacteristic, complemented
198#450×C67C2211yescharacteristic, complemented
199#449×C67C2211yescharacteristic, complemented
200#449×C67C2211yescharacteristic, complemented
201#447×C67C2211yescharacteristic, complemented
202#408×C67C2211yescharacteristic, complemented
203C24×D67—21no—
204#14524089—42no—
205#14524089—42no—
206C2×#11761629—21no—
207C2×#11761628—21no—
208C2×#11761628C2311yescharacteristic
209C2×#11761628C2311yescharacteristic
210C2×#11761628C2311yescharacteristic
211C2×#11761628C2311yescharacteristic, complemented
212C2×#11761627—21no—
213C2×Q8×D67C2311yescharacteristic
214C22×D268C2311yescharacteristic
215C22×D268C2311yescharacteristic
216C22×D268C2311yescharacteristic
217C22×C22⋊D67—21no—
218C2×D4×D67—21no—
219C2×D4×D67—21no—
220C2×D4×D67—21no—
221C2×D4×D67—21no—
222C2×D4×D67—21no—
223C2×D4×D67—21no—
224C2×D4×D67—21no—
225C2×D4×D67—21no—
226C2×D4×D67—21no—
227C2×D4×D67—21no—
228C2×D4×D67—42no—
229C2×D4×D67—42no—
230C2×D4×D67C2311yescharacteristic
231C2×D4×D67C2311yescharacteristic
232C2×D4×D67C2311yescharacteristic
233C2×D4×D67C2311yescharacteristic
234C2×D4×D67C2311yescharacteristic
235C22×C4×D67C2311yescharacteristic
236#14524071—42no—
237#14524068—42no—
238#14524065—42no—
239#14524063—42no—
240C2×Dic268C2311yescharacteristic, complemented
241C2×#11761618C2311yescharacteristic, complemented
242C2×#11761617C2311yescharacteristic
243C2×#11761617C2311yescharacteristic
244C2×#11761617C2311yescharacteristic, complemented
245C2×#11761617C2311yescharacteristic, complemented
246C2×#11761616C2311yescharacteristic
247C2×#11761616C2311yescharacteristic
248C2×#11761616C2311yescharacteristic, complemented
249C2×#11761615C2311yescharacteristic
250C2×#11761615C2311yescharacteristic
251C2×#11761615C2311yescharacteristic, complemented
252SD16×D67—42no—
253SD16×D67—42no—
254C2×D536C2311yescharacteristic
255C2×D536C2311yescharacteristic
256C2×D536C2311yescharacteristic, complemented
257C2×#11761613C2311yescharacteristic
258C2×#11761613C2311yescharacteristic
259C2×#11761613C2311yescharacteristic
260C2×#11761613C2311yescharacteristic
261C2×#11761613C2311yescharacteristic, complemented
262D8×D67—42no—
263D8×D67—42no—
264C2×#11761612C2311yescharacteristic, complemented
265C22×C67⋊C8C2311yescharacteristic, complemented
266C2×C8×D67C2311yescharacteristic
267C2×C8×D67C2311yescharacteristic
268C2×C8×D67C2311yescharacteristic
269C2×C8×D67C2311yescharacteristic
270#14524042C2311yescharacteristic, complemented
271#14524042C2311yescharacteristic, complemented
272#14524039C2311yescharacteristic
273#14524039C2311yescharacteristic
274#14524038—21no—
275#14524036—21no—
276#14524033—21no—
277#14524033—21no—
278#14524032C2311yescharacteristic, complemented
279#14524030—21no—
280#14524030—21no—
281#14524030C2311yescharacteristic
282#14524030C2311yescharacteristic
283#14524030C2311yescharacteristic, complemented
284#14524029—21no—
285#14524029—21no—
286#14524028—21no—
287#14524027—21no—
288#14524026—21no—
289#14524026—21no—
290#14524025—21no—
291#14524025—21no—
292#14524025—21no—
293#14524025—21no—
294#14524025—21no—
295#14524025—21no—
296#14524025—21no—
297#14524024—21no—
298#14524024—21no—
299#14524024D411yescharacteristic
300#14524024D411yescharacteristic
301#14524023—21no—
302#14524023—21no—
303#14524023C2311yescharacteristic
304#14524023C2311yescharacteristic
305#14524023C2311yescharacteristic
306#14524022—21no—
307#14524022—21no—
308#14524022C2311yescharacteristic
309#14524022C2311yescharacteristic, complemented
310#14524021—21no—
311#14524021—21no—
312#14524021—21no—
313#14524021—21no—
314#14524020—21no—
315#14524020—21no—
316#14524020—21no—
317#14524020—21no—
318#14524019—21no—
319#14524019D411yescharacteristic
320#14524019D411yescharacteristic
321#14524019C2311yescharacteristic
322#14524018C2311yescharacteristic
323#14524018C2311yescharacteristic
324#14524018C2311yescharacteristic
325#14524017C2311yescharacteristic
326#14524017C2311yescharacteristic, complemented
327#14524016—21no—
328#14524016—21no—
329#14524016—21no—
330#14524016—21no—
331#14524016—21no—
332#14524016—21no—
333#14524015—21no—
334#14524015—21no—
335#14524015—21no—
336#14524015—21no—
337#14524014—21no—
338#14524014—21no—
339#14524014—21no—
340#14524014—21no—
341#14524014—21no—
342#14524014—21no—
343#14524014—21no—
344#14524014—21no—
345#14524014—21no—
346#14524014D411yescharacteristic
347#14524014D411yescharacteristic
348#14524014C2311yescharacteristic
349#14524013—21no—
350#14524013—21no—
351#14524013—21no—
352#14524013—21no—
353#14524013—21no—
354#14524012—21no—
355#14524012—21no—
356#14524011—21no—
357#14524011—21no—
358#14524011—21no—
359#14524011—21no—
360#14524011—21no—
361#14524011—21no—
362#14524011—21no—
363#14524011—21no—
364#14524011—21no—
365#14524011—21no—
366#14524011D411yescharacteristic
367#14524011D411yescharacteristic
368Q8×Dic67C2311yescharacteristic, complemented
369#14524008C2311yescharacteristic, complemented
370C4×D268—21no—
371C4×D268—21no—
372C4×D268—21no—
373C4×D268—21no—
374D4×Dic67C2311yescharacteristic, complemented
375#14524005—21no—
376#14524005C2311yescharacteristic
377#14524005C2311yescharacteristic
378#14524005C2311yescharacteristic
379#14524005C2311yescharacteristic
380#14524005C2311yescharacteristic, complemented
381C4×C22⋊D67—21no—
382C4×C22⋊D67—21no—
383C4×C22⋊D67C2311yescharacteristic
384C4×C22⋊D67C2311yescharacteristic
385C4×C22⋊D67C2311yescharacteristic
386C4×C22⋊D67C2311yescharacteristic
387(C22⋊D67)⋊C4—21no—
388#14524002C2311yescharacteristic
389C2×C4⋊Dic67C2311yescharacteristic, complemented
390C4⋊C4×D67—21no—
391C4⋊C4×D67C2311yescharacteristic
392C4⋊C4×D67C2311yescharacteristic
393C2×(C2×D67)⋊C4—21no—
394C22⋊C4×D67—21no—
395C22⋊C4×D67—21no—
396C22⋊C4×D67—21no—
397C22⋊C4×D67—21no—
398C22⋊C4×D67—21no—
399C22⋊C4×D67—21no—
400C22⋊C4×D67—21no—
401C22⋊C4×D67—21no—
402C22⋊C4×D67—21no—
403#14523976C2311yescharacteristic, complemented
404#14523976C2311yescharacteristic, complemented
405#14523974C2311yescharacteristic, complemented
406#14523974C2311yescharacteristic, complemented
407Dic67⋊C8C2311yescharacteristic, complemented
408Dic67⋊C8C2311yescharacteristic, complemented
409Dic67⋊C8C2311yescharacteristic, complemented
410Dic67⋊C8C2311yescharacteristic, complemented
411#14523968C2311yescharacteristic, complemented
412#14523968C2311yescharacteristic, complemented
413#14523966C2311yescharacteristic, complemented
414#14523966C2311yescharacteristic, complemented
415#14523966C2311yescharacteristic, complemented
416#14523966C2311yescharacteristic, complemented
417#14523965C2311yescharacteristic
418#14523965C2311yescharacteristic
419#14523965C2311yescharacteristic
420#14523965C2311yescharacteristic
421#14523965C2311yescharacteristic, complemented
422#14523965C2311yescharacteristic, complemented
423#14523964C2311yescharacteristic
424#14523964C2311yescharacteristic
425#14523964C2311yescharacteristic
426#14523964C2311yescharacteristic
427#14523963C2311yescharacteristic
428#14523963C2311yescharacteristic
429#14523963C2311yescharacteristic
430#14523963C2311yescharacteristic
431#14523963C2311yescharacteristic, complemented
432#14523963C2311yescharacteristic, complemented
433#14523963C2311yescharacteristic, complemented
434#14523963C2311yescharacteristic, complemented
435C22⋊(C67⋊C8)C2311yescharacteristic
436C22⋊(C67⋊C8)C2311yescharacteristic
437C22⋊(C67⋊C8)C2311yescharacteristic, complemented
438C22⋊(C67⋊C8)C2311yescharacteristic, complemented
439(C2×D67)⋊C8C2311yescharacteristic
440(C2×D67)⋊C8C2311yescharacteristic
441(C2×D67)⋊C8C2311yescharacteristic
442(C2×D67)⋊C8C2311yescharacteristic
443#14523953C2311yescharacteristic, complemented
444#14523953C2311yescharacteristic, complemented
445C8×Dic67C2311yescharacteristic, complemented
446C8×Dic67C2311yescharacteristic, complemented
447C2×#41×C67C2311yescharacteristic
448C2×#41×C67C2311yescharacteristic, complemented
449C22×D4×C67C2311yescharacteristic
450C2×SD16×C67C2311yescharacteristic
451C2×SD16×C67C2311yescharacteristic
452C2×D8×C67C2311yescharacteristic
453C2×D8×C67C2311yescharacteristic
454C2×M16×C67C2311yescharacteristic, complemented
455C22×C8×C67C2311yescharacteristic, complemented
456#127×C67—21no—
457#124×C67—21no—
458C22⋊Q8×C67—21no—
459C22⋊Q8×C67C2311yescharacteristic
460C22⋊Q8×C67C2311yescharacteristic, complemented
461#121×C67—21no—
462#121×C67—21no—
463#121×C67—21no—
464#121×C67C2311yescharacteristic
465#121×C67C2311yescharacteristic
466#121×C67C2311yescharacteristic
467#121×C67C2311yescharacteristic
468#121×C67C2311yescharacteristic
469#121×C67C2311yescharacteristic, complemented
470#120×C67—21no—
471#120×C67—21no—
472#117×C67C2311yescharacteristic
473C2×C4⋊C4×C67C2311yescharacteristic, complemented
474#107×C67C2311yescharacteristic, complemented
475#107×C67C2311yescharacteristic, complemented
476#106×C67C2311yescharacteristic, complemented
477#106×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
488C22⋊C8×C67C2311yescharacteristic, complemented
489C22⋊C8×C67C2311yescharacteristic, complemented
490C23×D67—21no—
491C23×D67—21no—
492C23×D67—21no—
493C23×D67—21no—
494C23×D67—21no—
495C23×D67—21no—
496C23×D67—21no—
497C23×D67—21no—
498C23×D67—44no—
499C23×D67—82no—
500C23×D67—82no—
501C23×D67C2×D411yescharacteristic
502#11761629—44no—
503#11761628—22no—
504#11761628—22no—
505#11761628—41no—
506#11761628—41no—
507#11761628—41no—
508#11761628—41no—
509#11761628—41no—
510#11761628—41no—
511#11761628—82no—
512#11761627—82no—
513C2×Dic134—21no—
514C2×Dic134—21no—
515C2×Dic134—21no—
516C2×Dic134C2411yescharacteristic
517C2×Dic134C2411yescharacteristic
518Q8×D67—41no—
519Q8×D67—41no—
520C2×D268—21no—
521C2×D268—22no—
522C2×D268—22no—
523C2×D268—22no—
524C2×D268—22no—
525C2×D268—21no—
526C2×D268—21no—
527C2×D268—21no—
528C2×D268—21no—
529C2×D268—21no—
530C2×D268—41no—
531C2×D268—41no—
532C2×D268C2411yescharacteristic
533C2×D268C2411yescharacteristic
534C2×D268C2411yescharacteristic
535C2×D268C2411yescharacteristic
536C2×C22⋊D67—21no—
537C2×C22⋊D67—21no—
538C2×C22⋊D67—21no—
539C2×C22⋊D67—21no—
540C2×C22⋊D67—21no—
541C2×C22⋊D67—21no—
542C2×C22⋊D67—21no—
543C2×C22⋊D67—21no—
544C2×C22⋊D67—21no—
545C2×C22⋊D67—21no—
546C2×C22⋊D67—21no—
547C2×C22⋊D67—21no—
548C2×C22⋊D67—21no—
549C2×C22⋊D67—21no—
550C2×C22⋊D67—21no—
551C2×C22⋊D67—21no—
552C2×C22⋊D67—44no—
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—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—44no—
572D4×D67—82no—
573D4×D67—82no—
574D4×D67—82no—
575D4×D67—82no—
576D4×D67—82no—
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—21no—
585C2×C4×D67—21no—
586C2×C4×D67—21no—
587C2×C4×D67—21no—
588C2×C4×D67—21no—
589C2×C4×D67—21no—
590C2×C4×D67—21no—
591C2×C4×D67—21no—
592C2×C4×D67—41no—
593C2×C4×D67—41no—
594C2×C4×D67C2×D411yescharacteristic
595C2×C4×D67C2×D411yescharacteristic
596C2×C4×D67C2411yescharacteristic
597C2×C4×D67C2411yescharacteristic
598Dic268—41no—
599#11761618—41no—
600#11761617—22no—
601#11761617—22no—
602#11761617—41no—
603#11761617—41no—
604#11761616—41no—
605#11761616—41no—
606#11761616—41no—
607#11761615—22no—
608#11761615—22no—
609#11761615—41no—
610D536—22no—
611D536—22no—
612D536—41no—
613#11761613—22no—
614#11761613—22no—
615#11761613—41no—
616#11761613—41no—
617#11761613—41no—
618#11761612—41no—
619C2×C67⋊C8—41no—
620C2×C67⋊C8C2411yescharacteristic
621C2×C67⋊C8C2411yescharacteristic
622C2×C67⋊C8C2411yescharacteristic
623C2×C67⋊C8C2411yescharacteristic
624C8×D67—41no—
625C8×D67—41no—
626C8×D67—41no—
627C8×D67—41no—
628C4⋊Dic67—21no—
629C4⋊Dic67—21no—
630C4⋊Dic67—21no—
631C4⋊Dic67—21no—
632C4⋊Dic67—21no—
633C4⋊Dic67C2×D411yescharacteristic
634C4⋊Dic67C2×D411yescharacteristic
635C4⋊Dic67C2411yescharacteristic
636C4⋊Dic67C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
646Dic67⋊C4C2×D411yescharacteristic
647Dic67⋊C4C2×D411yescharacteristic
648Dic67⋊C4C2×D411yescharacteristic
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⋊Dic67—21no—
659C22⋊Dic67C2×D411yescharacteristic
660C22⋊Dic67C2×D411yescharacteristic
661C22⋊Dic67C2×D411yescharacteristic
662C22⋊Dic67C2×D411yescharacteristic
663C22⋊Dic67C2×D411yescharacteristic
664C22⋊Dic67C2×D411yescharacteristic
665(C2×D67)⋊C4—21no—
666(C2×D67)⋊C4—21no—
667(C2×D67)⋊C4—21no—
668(C2×D67)⋊C4—21no—
669(C2×D67)⋊C4—21no—
670(C2×D67)⋊C4—21no—
671(C2×D67)⋊C4—21no—
672(C2×D67)⋊C4—21no—
673(C2×D67)⋊C4—21no—
674(C2×D67)⋊C4—21no—
675(C2×D67)⋊C4—21no—
676(C2×D67)⋊C4—21no—
677(C2×D67)⋊C4—21no—
678(C2×D67)⋊C4—21no—
679(C2×D67)⋊C4—21no—
680(C2×D67)⋊C4—21no—
681(C2×D67)⋊C4C2×D411yescharacteristic
682(C2×D67)⋊C4C2×D411yescharacteristic
683(C2×D67)⋊C4C2×D411yescharacteristic
684(C2×D67)⋊C4C2×D411yescharacteristic
685C4×Dic67—21no—
686C4×Dic67—21no—
687C4×Dic67C2411yescharacteristic
688C4×Dic67C2411yescharacteristic
689C24×C67—21no—
690#41×C67—41no—
691#41×C67—41no—
692#41×C67—41no—
693#41×C67—41no—
694C2×Q8×C67C2×D411yescharacteristic
695C2×Q8×C67C2411yescharacteristic
696C2×D4×C67—21no—
697C2×D4×C67—21no—
698C2×D4×C67—21no—
699C2×D4×C67—21no—
700C2×D4×C67—21no—
701C2×D4×C67—21no—
702C2×D4×C67—21no—
703C2×D4×C67—21no—
704C2×D4×C67—41no—
705C2×D4×C67—41no—
706C2×D4×C67C2×D411yescharacteristic
707C2×D4×C67C2×D411yescharacteristic
708C2×D4×C67C2×D411yescharacteristic
709C2×D4×C67C2411yescharacteristic
710C2×D4×C67C2411yescharacteristic
711C2×D4×C67C2411yescharacteristic
712C22×C4×C67—21no—
713C22×C4×C67—21no—
714C22×C4×C67C2411yescharacteristic
715C22×C4×C67C2411yescharacteristic
716C22×C4×C67C2411yescharacteristic
717SD16×C67—41no—
718SD16×C67—41no—
719D8×C67—41no—
720D8×C67—41no—
721M16×C67—41no—
722C2×C8×C67—41no—
723C2×C8×C67C2411yescharacteristic
724C2×C8×C67C2411yescharacteristic
725C2×C8×C67C2411yescharacteristic
726C2×C8×C67C2411yescharacteristic
727C4⋊C4×C67—21no—
728C4⋊C4×C67—21no—
729C4⋊C4×C67—21no—
730C4⋊C4×C67C2411yescharacteristic
731C4⋊C4×C67C2411yescharacteristic
732C4⋊C4×C67C2411yescharacteristic
733C4⋊C4×C67C2411yescharacteristic
734C22⋊C4×C67—21no—
735C22⋊C4×C67—21no—
736C22⋊C4×C67—21no—
737C22⋊C4×C67—21no—
738C22⋊C4×C67—21no—
739C22⋊C4×C67—21no—
740C22⋊C4×C67—21no—
741C22⋊C4×C67—21no—
742C22⋊C4×C67—21no—
743C42×C67—21no—
744C23×C67—21no—
745C23×C67—21no—
746C23×C67—21no—
747C23×C67—42no—
748C23×C67—81no—
749C23×C67—81no—
750C23×C67C22×D411yescharacteristic
751C23×C67C22×D411yescharacteristic
752C23×C67C22×D411yescharacteristic
753C22×D67—21no—
754C22×D67—21no—
755C22×D67—24no—
756C22×D67—22no—
757C22×D67—22no—
758C22×D67—21no—
759C22×D67—21no—
760C22×D67—41no—
761C22×D67—42no—
762C22×D67—42no—
763C22×D67—42no—
764C22×D67—42no—
765C22×D67—42no—
766C22×D67—42no—
767C22×D67—42no—
768C22×D67—42no—
769C22×D67—42no—
770C22×D67—42no—
771C22×D67—42no—
772C22×D67—81no—
773C22×D67—81no—
774C22×D67—81no—
775C22×D67—81no—
776C22×D67—81no—
777C22×D67—81no—
778C22×D67—81no—
779C22×D67—81no—
780C22×D67—81no—
781C22×D67—81no—
782C22×D67—81no—
783C22×D67—81no—
784C22×D67—816no—
785C22×D67C22×D411yescharacteristic
786C22×D67C22×D411yescharacteristic
787Q8×C67—21no—
788Q8×C67—21no—
789Q8×C67—41no—
790D4×C67—21no—
791D4×C67—21no—
792D4×C67—21no—
793D4×C67—21no—
794D4×C67—21no—
795D4×C67—21no—
796D4×C67—41no—
797D4×C67—41no—
798D4×C67—41no—
799D4×C67—42no—
800D4×C67—81no—
801D4×C67—81no—
802D4×C67—81no—
803D4×C67—81no—
804D4×C67—81no—
805D4×C67—81no—
806D4×C67—81no—
807C2×C4×C67—21no—
808C2×C4×C67—21no—
809C2×C4×C67—21no—
810C2×C4×C67—21no—
811C2×C4×C67—21no—
812C2×C4×C67—21no—
813C2×C4×C67—21no—
814C2×C4×C67—21no—
815C2×C4×C67—21no—
816C2×C4×C67—21no—
817C2×C4×C67—21no—
818C2×C4×C67—81no—
819C2×C4×C67—81no—
820C2×C4×C67C22×D411yescharacteristic
821C2×C4×C67C22×D411yescharacteristic
822C2×C4×C67C22×D411yescharacteristic
823C2×C4×C67C2511yescharacteristic
824C22⋊D67—22no—
825C22⋊D67—22no—
826C22⋊D67—22no—
827C22⋊D67—22no—
828C22⋊D67—42no—
829C22⋊D67—42no—
830C22⋊D67—42no—
831C22⋊D67—42no—
832C22⋊D67—42no—
833C22⋊D67—42no—
834C22⋊D67—42no—
835C22⋊D67—42no—
836C22⋊D67—81no—
837C22⋊D67—81no—
838C22⋊D67—81no—
839C22⋊D67—81no—
840C22⋊D67—81no—
841C22⋊D67—81no—
842C22⋊D67—81no—
843C22⋊D67—81no—
844C2×Dic67—21no—
845C2×Dic67—21no—
846C2×Dic67—21no—
847C2×Dic67—21no—
848C2×Dic67—41no—
849C2×Dic67—81no—
850C2×Dic67—81no—
851C2×Dic67C22×D411yescharacteristic
852C2×Dic67C22×D411yescharacteristic
853C2×Dic67C22×D411yescharacteristic
854C2×Dic67C22×D411yescharacteristic
855C2×Dic67C22×D411yescharacteristic
856C2×Dic67C22×D411yescharacteristic
857D268—24no—
858D268—21no—
859D268—21no—
860D268—21no—
861D268—21no—
862D268—21no—
863D268—21no—
864D268—42no—
865D268—42no—
866D268—42no—
867D268—42no—
868D268—42no—
869D268H(5,𝔽2)12yes—
870D268H(5,𝔽2)12yes—
871C4×D67—21no—
872C4×D67—21no—
873C4×D67—21no—
874C4×D67—21no—
875C4×D67—41no—
876C4×D67—41no—
877C4×D67—42no—
878C4×D67—42no—
879C4×D67—42no—
880C4×D67—42no—
881C4×D67—81no—
882C4×D67—81no—
883C4×D67—81no—
884C4×D67—81no—
885C4×D67—81no—
886C4×D67—81no—
887C4×D67—81no—
888C4×D67—81no—
889Dic134—21no—
890Dic134—21no—
891Dic134—21no—
892Dic134—21no—
893Dic134—81no—
894Dic134—81no—
895Dic134—81no—
896C8×C67—21no—
897C8×C67—21no—
898C8×C67—21no—
899C8×C67—21no—
900C67⋊C8—21no—
901C67⋊C8—21no—
902C67⋊C8—21no—
903C67⋊C8—21no—
904C22×C67—21no—
905C22×C67—21no—
906C22×C67—21no—
907C22×C67—21no—
908C22×C67—21no—
909C22×C67—21no—
910C22×C67—21no—
911C22×C67—21no—
912C22×C67—21no—
913C22×C67—41no—
914C22×C67—41no—
915C22×C67—41no—
916C22×C67—41no—
917C22×C67—41no—
918C22×C67—41no—
919C22×C67—41no—
920C22×C67—41no—
921C22×C67—41no—
922C22×C67—84no—
923C22×C67C23×D411yescharacteristic
924C2×D67—21no—
925C2×D67—21no—
926C2×D67—21no—
927C2×D67—21no—
928C2×D67—22no—
929C2×D67—22no—
930C2×D67—44no—
931C2×D67—41no—
932C2×D67—41no—
933C2×D67—41no—
934C2×D67—41no—
935C2×D67—41no—
936C2×D67—41no—
937C2×D67—41no—
938C2×D67—41no—
939C2×D67—41no—
940C2×D67—41no—
941C2×D67—84no—
942C2×D67—84no—
943C2×D67—84no—
944C2×D67—84no—
945C2×D67—84no—
946C2×D67—162no—
947C2×D67—162no—
948C2×D67—162no—
949C2×D67#57612yes—
950C2×D67#57712yes—
951C4×C67—21no—
952C4×C67—21no—
953C4×C67—21no—
954C4×C67—41no—
955C4×C67—41no—
956C4×C67—41no—
957C4×C67—41no—
958C4×C67—41no—
959C4×C67C2×H(5,𝔽2)11yescharacteristic
960C4×C67C2×H(5,𝔽2)11yescharacteristic
961Dic67—21no—
962Dic67—21no—
963Dic67—21no—
964Dic67—21no—
965Dic67—21no—
966Dic67—21no—
967Dic67—41no—
968Dic67—41no—
969Dic67—41no—
970Dic67—41no—
971#61629—671nomaximal, Sylow
972C2×C67—41no—
973C2×C67—41no—
974C2×C67—41no—
975C2×C67—81no—
976C2×C67—81no—
977C2×C67—81no—
978C2×C67#348411yescharacteristic
979C2×C67C2×#57611yescharacteristic
980C2×C67C2×#57711yescharacteristic
981D67—22no—
982D67—22no—
983D67—42no—
984D67—42no—
985D67—81no—
986D67—81no—
987#3536—671no—
988#3484—671no—
989#3314—671no—
990#3314—671no—
991#3306—671no—
992#3306—671no—
993#3295—671no—
994#3295—671no—
995#3294—671no—
996#3294—671no—
997#3282—671no—
998#3282—671no—
999#3280—671no—
1000#3280—671no—
1001#3265—671no—
1002#3265—671no—
1003#3264—671no—
1004#3264—671no—
1005#3224—671no—
1006#3224—671no—
1007#3198—671no—
1008#3198D6711yescharacteristic, complemented
1009#3190—671no—
1010#3188—671no—
1011#3118—671no—
1012#3118—671no—
1013#3012—671no—
1014#3012—671no—
1015C2×#450—671no—
1016C2×#447—671no—
1017#2977—671no—
1018C67#6162911yescharacteristic, complemented, Sylow
1019C2×H(5,𝔽2)—671no—
1020C23×D4—671no—
1021C2×AGL(1,ℤ/8)—671no—
1022C2×AGL(1,ℤ/8)—671no—
1023C2×#135—671no—
1024C2×#135—671no—
1025C22×SD16—671no—
1026C22×SD16—671no—
1027C22×D8—671no—
1028C22×D8—671no—
1029#562—1341no—
1030#562—1341no—
1031#554—671no—
1032#554—671no—
1033#548—671no—
1034#548—671no—
1035#547—671no—
1036#547—671no—
1037#546—671no—
1038#546—671no—
1039#546—671no—
1040#546—671no—
1041#546—671no—
1042#546—671no—
1043#546—1341no—
1044#546—1341no—
1045#546—1341no—
1046#546—1341no—
1047D42—671no—
1048D42—671no—
1049D42—671no—
1050D42—671no—
1051D42—1341no—
1052D42—1341no—
1053#543—1341no—
1054#542—671no—
1055#542—671no—
1056#539—1341no—
1057#538—1341no—
1058#537—671no—
1059#537—1341no—
1060#537C2×D6711yescharacteristic, complemented
1061#535—671no—
1062#535C2×D6711yescharacteristic, complemented
1063#534—1341no—
1064#534—1341no—
1065#525—671no—
1066#525—671no—
1067C2×C22⋊Q8—671no—
1068C2×#121—671no—
1069C2×#120—1341no—
1070C2×#120—1341no—
1071#518—671no—
1072#496—671no—
1073#496—671no—
1074#495—671no—
1075#495—671no—
1076#489—671no—
1077#489—671no—
1078#486—671no—
1079#486—671no—
1080#485—671no—
1081#485C2×D6711yescharacteristic, complemented
1082#484—671no—
1083#483—671no—
1084#482—671no—
1085#482C2×D6711yescharacteristic, complemented
1086#481—671no—
1087#481—671no—
1088#481C2×D6711yescharacteristic, complemented
1089#480—671no—
1090#480—671no—
1091#480C2×D6711yescharacteristic, complemented
1092#476—671no—
1093#476—671no—
1094#474—671no—
1095#474—671no—
1096#469—671no—
1097#469C2×D6711yescharacteristic, complemented
1098#468—671no—
1099#468C2×D6711yescharacteristic, complemented
1100#467—671no—
1101#467—671no—
1102#466—671no—
1103#466—671no—
1104#466—671no—
1105#466C2×D6711yescharacteristic, complemented
1106#465—671no—
1107#465—671no—
1108#465—671no—
1109#465—671no—
1110#465—671no—
1111#465C2×D6711yescharacteristic, complemented
1112#464—671no—
1113#464—671no—
1114#463—671no—
1115#463—671no—
1116#463—671no—
1117#463—671no—
1118#463—671no—
1119#463—671no—
1120#460—671no—
1121#460—671no—
1122#459—671no—
1123#459—671no—
1124#452—671no—
1125#452—671no—
1126#452—671no—
1127#452—671no—
1128#451—671no—
1129#450—671no—
1130#450—671no—
1131#450—671no—
1132#450—671no—
1133#450—671no—
1134#450—671no—
1135#450—671no—
1136#450—671no—
1137#450—671no—
1138#450—671no—
1139#450C2×D6711yescharacteristic, complemented
1140#449—671no—
1141#449—671no—
1142#449—671no—
1143#449—671no—
1144#449—671no—
1145#449—671no—
1146#449C2×D6711yescharacteristic, complemented
1147#449C2×D6711yescharacteristic, complemented
1148#448—671no—
1149#447—671no—
1150#447—671no—
1151#447—671no—
1152#447—671no—
1153#447—671no—
1154#447—671no—
1155#447—671no—
1156#447—671no—
1157#447—671no—
1158#447—671no—
1159#447C2×D6711yescharacteristic, complemented
1160#442—671no—
1161#442—671no—
1162#440—671no—
1163#440—671no—
1164C4×SD16—671no—
1165C4×SD16—671no—
1166C4×D8—671no—
1167C4×D8—671no—
1168#435—671no—
1169#435—671no—
1170#435—671no—
1171#435—671no—
1172C8×D4—671no—
1173C8×D4—671no—
1174C8×D4—671no—
1175C8×D4—671no—
1176#433—671no—
1177#433—671no—
1178#417—671no—
1179#417—671no—
1180C2×#102—671no—
1181C2×#102—671no—
1182C2×#102—671no—
1183C2×#102—671no—
1184C2×#102—671no—
1185C2×#102—671no—
1186#408—671no—
1187#408C2×D6711yescharacteristic, complemented
1188C2×C22⋊C8—671no—
1189C2×C22⋊C8—671no—
1190C25—1341no—
1191H(5,𝔽2)—2682no—
1192H(5,𝔽2)—2682no—
1193C2×#41—671no—
1194C2×#41—671no—
1195C2×#41—671no—
1196C2×#41—671no—
1197C2×#41—1341no—
1198C2×#41—1341no—
1199C2×#41—1341no—
1200C2×#41C22×D6711yescharacteristic
1201C2×#41C22×D6711yescharacteristic, complemented
1202C22×Q8—671no—
1203C22×D4—2682no—
1204C22×D4—2682no—
1205C22×D4—671no—
1206C22×D4—671no—
1207C22×D4—671no—
1208C22×D4—671no—
1209C22×D4—671no—
1210C22×D4—671no—
1211C22×D4—671no—
1212C22×D4—671no—
1213C22×D4—1341no—
1214C22×D4—1341no—
1215C22×D4—1341no—
1216C22×D4—1341no—
1217C22×D4—1341no—
1218C22×D4—1341no—
1219C22×D4—1341no—
1220C22×D4—1341no—
1221C22×D4—1341no—
1222C22×D4—1341no—
1223C22×D4—1341no—
1224C22×D4C22×D6711yescharacteristic
1225C23×C4—671no—
1226AGL(1,ℤ/8)—2682no—
1227AGL(1,ℤ/8)—2682no—
1228#135—2682no—
1229#135—2682no—
1230C2×Q16—671no—
1231C2×Q16—671no—
1232C2×SD16—2682no—
1233C2×SD16—2682no—
1234C2×SD16—671no—
1235C2×SD16—671no—
1236C2×SD16—671no—
1237C2×SD16—671no—
1238C2×SD16—671no—
1239C2×SD16—671no—
1240C2×SD16—671no—
1241C2×SD16—671no—
1242C2×SD16—671no—
1243C2×SD16—671no—
1244C2×SD16C22×D6711yescharacteristic
1245C2×SD16C22×D6711yescharacteristic
1246C2×D8—2682no—
1247C2×D8—2682no—
1248C2×D8—671no—
1249C2×D8—671no—
1250C2×D8—671no—
1251C2×D8—671no—
1252C2×D8—671no—
1253C2×D8—671no—
1254C2×D8—671no—
1255C2×D8—671no—
1256C2×D8C22×D6711yescharacteristic
1257C2×D8C22×D6711yescharacteristic
1258C2×M16—671no—
1259C2×M16C22×D6711yescharacteristic, complemented
1260C22×C8—671no—
1261C22×C8—671no—
1262C22×C8—671no—
1263C22×C8—671no—
1264C22×C8—671no—
1265C22×C8C22×D6711yescharacteristic, complemented
1266C4⋊Q8—671no—
1267C4⋊Q8—671no—
1268#127—21no—
1269#127—671no—
1270#127—671no—
1271#126—1341no—
1272#126—1341no—
1273#125—1341no—
1274#125—1341no—
1275#124—21no—
1276#124—671no—
1277#124—671no—
1278#124—671no—
1279#124—671no—
1280#124—1341no—
1281#124—1341no—
1282#124—1341no—
1283#124—1341no—
1284#123—671no—
1285#123—671no—
1286#123—1341no—
1287#123—1341no—
1288#123—1341no—
1289#123—1341no—
1290#123—1341no—
1291#123—1341no—
1292#123—1341no—
1293#123—1341no—
1294#123—1341no—
1295#123—1341no—
1296#123—1341no—
1297#123—1341no—
1298#123—1341no—
1299C22⋊Q8—21no—
1300C22⋊Q8—671no—
1301C22⋊Q8—671no—
1302C22⋊Q8—671no—
1303C22⋊Q8—671no—
1304C22⋊Q8—671no—
1305C22⋊Q8—671no—
1306C22⋊Q8—671no—
1307C22⋊Q8—671no—
1308C22⋊Q8—1341no—
1309C22⋊Q8—1341no—
1310C22⋊Q8—1341no—
1311C22⋊Q8—1341no—
1312C22⋊Q8—1341no—
1313C22⋊Q8—1341no—
1314C22⋊Q8—1341no—
1315C22⋊Q8—1341no—
1316C22⋊Q8—1341no—
1317C22⋊Q8—1341no—
1318C22⋊Q8—1341no—
1319C22⋊Q8—1341no—
1320C22⋊Q8—1341no—
1321C22⋊Q8C22×D6711yescharacteristic
1322C22⋊Q8C22×D6711yescharacteristic, complemented
1323#121—21no—
1324#121—21no—
1325#121—21no—
1326#121—671no—
1327#121—671no—
1328#121—671no—
1329#121—671no—
1330#121—671no—
1331#121—671no—
1332#121—671no—
1333#121—671no—
1334#121—1341no—
1335#121—1341no—
1336#121—1341no—
1337#121—1341no—
1338#121—1341no—
1339#121—1341no—
1340#121—1341no—
1341#121—1341no—
1342#121—1341no—
1343#121—1341no—
1344#121—1341no—
1345#121—1341no—
1346#121—1341no—
1347#121—1341no—
1348#121—1341no—
1349#121—1341no—
1350#121—1341no—
1351#121—1341no—
1352#121—1341no—
1353#121C22×D6711yescharacteristic
1354#121C22×D6711yescharacteristic
1355#121C22×D6711yescharacteristic
1356#121C22×D6711yescharacteristic
1357#121C22×D6711yescharacteristic
1358#121C22×D6711yescharacteristic, complemented
1359#120—21no—
1360#120—21no—
1361#120—671no—
1362#120—671no—
1363#120—1341no—
1364#120—1341no—
1365#120—1341no—
1366#120—1341no—
1367#120—1341no—
1368#120—1341no—
1369#120—1341no—
1370#120—1341no—
1371#120—1341no—
1372#120—1341no—
1373#120—1341no—
1374#120—1341no—
1375#120—1341no—
1376#120—1341no—
1377#120—1341no—
1378#120—1341no—
1379#120—1341no—
1380C4×Q8—671no—
1381C4×Q8—671no—
1382C4×D4—671no—
1383C4×D4—671no—
1384C4×D4—671no—
1385C4×D4—671no—
1386C4×D4—671no—
1387C4×D4—671no—
1388C4×D4—671no—
1389C4×D4—671no—
1390C4×D4—671no—
1391C4×D4—671no—
1392C4×D4—1341no—
1393C4×D4—1341no—
1394C4×D4—1341no—
1395C4×D4—1341no—
1396C4×D4—1341no—
1397C4×D4—1341no—
1398C4×D4—1341no—
1399C4×D4—1341no—
1400#117—671no—
1401#117C22×D6711yescharacteristic
1402C2×C4⋊C4—671no—
1403C2×C4⋊C4—671no—
1404C2×C4⋊C4—671no—
1405C2×C4⋊C4—1341no—
1406C2×C4⋊C4C22×D6711yescharacteristic, complemented
1407C2×C22⋊C4—1341no—
1408C2×C22⋊C4—1341no—
1409C2×C22⋊C4—1341no—
1410C2×C22⋊C4—1341no—
1411C2×C22⋊C4—1341no—
1412C2×C22⋊C4—1341no—
1413C2×C22⋊C4—1341no—
1414C2×C22⋊C4—1341no—
1415C2×C22⋊C4—1341no—
1416C2×C22⋊C4—1341no—
1417#107—671no—
1418#107—671no—
1419#107C22×D6711yescharacteristic, complemented
1420#107C22×D6711yescharacteristic, complemented
1421#106—671no—
1422#106—671no—
1423#106C22×D6711yescharacteristic, complemented
1424#106C22×D6711yescharacteristic, complemented
1425C4⋊C8—671no—
1426C4⋊C8—671no—
1427C4⋊C8—671no—
1428C4⋊C8—671no—
1429#103—671no—
1430#103—671no—
1431#103—671no—
1432#103—671no—
1433#103—671no—
1434#103—671no—
1435#103C22×D6711yescharacteristic, complemented
1436#103C22×D6711yescharacteristic, complemented
1437#102—671no—
1438#102—671no—
1439#102—671no—
1440#102—671no—
1441#102—671no—
1442#102—671no—
1443#102—671no—
1444#102—671no—
1445#102—671no—
1446#102—671no—
1447#102—671no—
1448#102—671no—
1449#102—671no—
1450#102—671no—
1451#102—671no—
1452#102—671no—
1453#102—671no—
1454#102—671no—
1455#102C22×D6711yescharacteristic
1456#102C22×D6711yescharacteristic
1457#102C22×D6711yescharacteristic
1458#102C22×D6711yescharacteristic
1459#102C22×D6711yescharacteristic, complemented
1460#102C22×D6711yescharacteristic, complemented
1461C22⋊C8—671no—
1462C22⋊C8—671no—
1463C22⋊C8—671no—
1464C22⋊C8—671no—
1465C22⋊C8—671no—
1466C22⋊C8—671no—
1467C22⋊C8—671no—
1468C22⋊C8—671no—
1469C22⋊C8C22×D6711yescharacteristic
1470C22⋊C8C22×D6711yescharacteristic
1471C22⋊C8C22×D6711yescharacteristic, complemented
1472C22⋊C8C22×D6711yescharacteristic, complemented
1473#97—671no—
1474#97—671no—
1475C4×C8—671no—
1476C4×C8—671no—
1477C24—21no—
1478C24—2684no—
1479C24—5362no—
1480C24—5362no—
1481C24—671no—
1482C24—1341no—
1483C24—1341no—
1484C24—1341no—
1485C24—1341no—
1486C24—1341no—
1487C24—1341no—
1488C24—1341no—
1489C24—1341no—
1490#41—41no—
1491#41—41no—
1492#41—41no—
1493#41—41no—
1494#41—2681no—
1495#41—2681no—
1496#41—2681no—
1497#41—2681no—
1498#41—2681no—
1499#41—2681no—
1500#41—2684no—
1501#41—5362no—
1502#41—5362no—
1503#41—1342no—
1504#41—1342no—
1505C2×Q8—2681no—
1506C2×Q8—2681no—
1507C2×Q8—671no—
1508C2×Q8—671no—
1509C2×Q8—1341no—
1510C2×Q8—1341no—
1511C2×Q8—1341no—
1512C2×Q8D4×D6711yescharacteristic
1513C2×Q8C23×D6711yescharacteristic
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—41no—
1523C2×D4—41no—
1524C2×D4—2681no—
1525C2×D4—2681no—
1526C2×D4—2684no—
1527C2×D4—2684no—
1528C2×D4—2684no—
1529C2×D4—2684no—
1530C2×D4—2684no—
1531C2×D4—2684no—
1532C2×D4—2681no—
1533C2×D4—2681no—
1534C2×D4—2681no—
1535C2×D4—2681no—
1536C2×D4—2681no—
1537C2×D4—2681no—
1538C2×D4—5362no—
1539C2×D4—5362no—
1540C2×D4—5362no—
1541C2×D4—5362no—
1542C2×D4—5362no—
1543C2×D4—671no—
1544C2×D4—671no—
1545C2×D4—671no—
1546C2×D4—671no—
1547C2×D4—671no—
1548C2×D4—671no—
1549C2×D4—671no—
1550C2×D4—671no—
1551C2×D4—1341no—
1552C2×D4—1341no—
1553C2×D4—1341no—
1554C2×D4—1342no—
1555C2×D4—1342no—
1556C2×D4—1342no—
1557C2×D4—1342no—
1558C2×D4—1341no—
1559C2×D4—1341no—
1560C2×D4—1341no—
1561C2×D4—1341no—
1562C2×D4—1341no—
1563C2×D4—1341no—
1564C2×D4—1341no—
1565C2×D4—1341no—
1566C2×D4—1341no—
1567C2×D4—1342no—
1568C2×D4—1342no—
1569C2×D4—1342no—
1570C2×D4—1342no—
1571C2×D4—1341no—
1572C2×D4—1341no—
1573C2×D4—1341no—
1574C2×D4—1341no—
1575C2×D4—1341no—
1576C2×D4—1341no—
1577C2×D4—1341no—
1578C2×D4—1341no—
1579C2×D4—1341no—
1580C2×D4—1341no—
1581C2×D4D4×D6711yescharacteristic
1582C2×D4D4×D6711yescharacteristic
1583C2×D4D4×D6711yescharacteristic
1584C2×D4C23×D6711yescharacteristic
1585C2×D4C23×D6711yescharacteristic
1586C2×D4C23×D6711yescharacteristic
1587C22×C4—21no—
1588C22×C4—21no—
1589C22×C4—2681no—
1590C22×C4—2681no—
1591C22×C4—671no—
1592C22×C4—671no—
1593C22×C4—671no—
1594C22×C4—671no—
1595C22×C4—671no—
1596C22×C4—1341no—
1597C22×C4—1341no—
1598C22×C4—1341no—
1599C22×C4—1341no—
1600C22×C4—1341no—
1601C22×C4—1341no—
1602C22×C4—1341no—
1603C22×C4—1341no—
1604C22×C4—1341no—
1605C22×C4—1341no—
1606C22×C4—1341no—
1607C22×C4—1341no—
1608C22×C4—1341no—
1609C22×C4—1341no—
1610C22×C4C23×D6711yescharacteristic
1611C22×C4C23×D6711yescharacteristic
1612C22×C4C23×D6711yescharacteristic
1613Q16—2681no—
1614Q16—2681no—
1615SD16—41no—
1616SD16—41no—
1617SD16—2681no—
1618SD16—2681no—
1619SD16—2681no—
1620SD16—2681no—
1621SD16—2681no—
1622SD16—2681no—
1623SD16—1342no—
1624SD16—1342no—
1625SD16—1342no—
1626SD16—1342no—
1627D8—41no—
1628D8—41no—
1629D8—2681no—
1630D8—2681no—
1631D8—2681no—
1632D8—2681no—
1633D8—1342no—
1634D8—1342no—
1635D8—1342no—
1636D8—1342no—
1637M16—41no—
1638M16—2681no—
1639C2×C8—41no—
1640C2×C8—2681no—
1641C2×C8—2681no—
1642C2×C8—2681no—
1643C2×C8—2681no—
1644C2×C8—2681no—
1645C2×C8—671no—
1646C2×C8—671no—
1647C2×C8—671no—
1648C2×C8—671no—
1649C2×C8C23×D6711yescharacteristic
1650C2×C8C23×D6711yescharacteristic
1651C2×C8C23×D6711yescharacteristic
1652C2×C8C23×D6711yescharacteristic
1653C4⋊C4—21no—
1654C4⋊C4—21no—
1655C4⋊C4—21no—
1656C4⋊C4—671no—
1657C4⋊C4—671no—
1658C4⋊C4—671no—
1659C4⋊C4—671no—
1660C4⋊C4—671no—
1661C4⋊C4—671no—
1662C4⋊C4—671no—
1663C4⋊C4—671no—
1664C4⋊C4—1341no—
1665C4⋊C4—1341no—
1666C4⋊C4—1341no—
1667C4⋊C4—1341no—
1668C4⋊C4—1341no—
1669C4⋊C4—1341no—
1670C4⋊C4—1341no—
1671C4⋊C4—1341no—
1672C4⋊C4—1341no—
1673C4⋊C4—1341no—
1674C4⋊C4—1341no—
1675C4⋊C4—1341no—
1676C4⋊C4—1341no—
1677C4⋊C4C23×D6711yescharacteristic
1678C4⋊C4C23×D6711yescharacteristic
1679C4⋊C4C23×D6711yescharacteristic
1680C4⋊C4C23×D6711yescharacteristic
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—671no—
1691C22⋊C4—671no—
1692C22⋊C4—671no—
1693C22⋊C4—671no—
1694C22⋊C4—671no—
1695C22⋊C4—671no—
1696C22⋊C4—671no—
1697C22⋊C4—671no—
1698C22⋊C4—671no—
1699C22⋊C4—671no—
1700C22⋊C4—1341no—
1701C22⋊C4—1341no—
1702C22⋊C4—1341no—
1703C22⋊C4—1341no—
1704C22⋊C4—1341no—
1705C22⋊C4—1341no—
1706C22⋊C4—1341no—
1707C22⋊C4—1341no—
1708C22⋊C4—1341no—
1709C22⋊C4—1341no—
1710C22⋊C4—1341no—
1711C22⋊C4—1341no—
1712C22⋊C4—1341no—
1713C22⋊C4—1341no—
1714C22⋊C4—1341no—
1715C22⋊C4—1341no—
1716C22⋊C4—1341no—
1717C22⋊C4—1341no—
1718C22⋊C4—1341no—
1719C22⋊C4—1341no—
1720C22⋊C4—1341no—
1721C22⋊C4—1341no—
1722C22⋊C4—1341no—
1723C22⋊C4—1341no—
1724C22⋊C4—1341no—
1725C22⋊C4—1341no—
1726C42—21no—
1727C42—671no—
1728C42—671no—
1729C42—1341no—
1730C42—1341no—
1731C23—21no—
1732C23—21no—
1733C23—21no—
1734C23—42no—
1735C23—81no—
1736C23—81no—
1737C23—2681no—
1738C23—2682no—
1739C23—2682no—
1740C23—2682no—
1741C23—2682no—
1742C23—2682no—
1743C23—2682no—
1744C23—2682no—
1745C23—2682no—
1746C23—2682no—
1747C23—2682no—
1748C23—2682no—
1749C23—5361no—
1750C23—5361no—
1751C23—5361no—
1752C23—5361no—
1753C23—5361no—
1754C23—5361no—
1755C23—5361no—
1756C23—5361no—
1757C23—5361no—
1758C23—5361no—
1759C23—5361no—
1760C23—5361no—
1761C23—53616no—
1762C23—671no—
1763C23—671no—
1764C23—1342no—
1765C23—1342no—
1766C23—1344no—
1767C23—1341no—
1768C23—1341no—
1769C23—1341no—
1770C23—1341no—
1771C23C2×D4×D6711yescharacteristic
1772C23C2×D4×D6711yescharacteristic
1773C23C2×D4×D6711yescharacteristic
1774Q8—21no—
1775Q8—21no—
1776Q8—41no—
1777Q8—5361no—
1778Q8—5361no—
1779Q8—5361no—
1780Q8—1341no—
1781Q8—1341no—
1782Q8—1341no—
1783Q8—1341no—
1784D4—21no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—41no—
1791D4—41no—
1792D4—41no—
1793D4—42no—
1794D4—81no—
1795D4—81no—
1796D4—81no—
1797D4—81no—
1798D4—81no—
1799D4—81no—
1800D4—81no—
1801D4—2682no—
1802D4—2682no—
1803D4—2682no—
1804D4—2682no—
1805D4—2682no—
1806D4—2682no—
1807D4—2682no—
1808D4—2682no—
1809D4—2682no—
1810D4—2682no—
1811D4—2682no—
1812D4—2682no—
1813D4—2682no—
1814D4—5361no—
1815D4—5361no—
1816D4—5361no—
1817D4—5361no—
1818D4—5361no—
1819D4—5361no—
1820D4—5361no—
1821D4—5361no—
1822D4—672no—
1823D4—672no—
1824D4—1344no—
1825D4—1342no—
1826D4—1342no—
1827D4—1342no—
1828D4—1342no—
1829D4—1341no—
1830D4—1341no—
1831D4—1341no—
1832D4—1341no—
1833D4—1341no—
1834D4—1341no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—21no—
1844C2×C4—21no—
1845C2×C4—21no—
1846C2×C4—81no—
1847C2×C4—81no—
1848C2×C4—2682no—
1849C2×C4—2682no—
1850C2×C4—2682no—
1851C2×C4—2681no—
1852C2×C4—2681no—
1853C2×C4—2682no—
1854C2×C4—2681no—
1855C2×C4—5361no—
1856C2×C4—5361no—
1857C2×C4—5361no—
1858C2×C4—5361no—
1859C2×C4—5361no—
1860C2×C4—5361no—
1861C2×C4—5361no—
1862C2×C4—5361no—
1863C2×C4—5361no—
1864C2×C4—5361no—
1865C2×C4—671no—
1866C2×C4—671no—
1867C2×C4—671no—
1868C2×C4—671no—
1869C2×C4—671no—
1870C2×C4—671no—
1871C2×C4—1341no—
1872C2×C4—1341no—
1873C2×C4—1341no—
1874C2×C4—1341no—
1875C2×C4—1341no—
1876C2×C4—1341no—
1877C2×C4—1341no—
1878C2×C4—1341no—
1879C2×C4C2×D4×D6711yescharacteristic
1880C2×C4C2×D4×D6711yescharacteristic
1881C2×C4C2×D4×D6711yescharacteristic
1882C2×C4C24×D6711yescharacteristic
1883C8—21no—
1884C8—21no—
1885C8—21no—
1886C8—21no—
1887C8—1341no—
1888C8—1341no—
1889C8—1341no—
1890C8—1341no—
1891C22—21no—
1892C22—21no—
1893C22—21no—
1894C22—21no—
1895C22—21no—
1896C22—21no—
1897C22—21no—
1898C22—21no—
1899C22—21no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—41no—
1908C22—41no—
1909C22—84no—
1910C22—2684no—
1911C22—2681no—
1912C22—2681no—
1913C22—2681no—
1914C22—2681no—
1915C22—2681no—
1916C22—2681no—
1917C22—2681no—
1918C22—2681no—
1919C22—2681no—
1920C22—2681no—
1921C22—5364no—
1922C22—5364no—
1923C22—5364no—
1924C22—5364no—
1925C22—5364no—
1926C22—10722no—
1927C22—10722no—
1928C22—10722no—
1929C22—672no—
1930C22—672no—
1931C22—1342no—
1932C22—1342no—
1933C22—1341no—
1934C22—1341no—
1935C22—1341no—
1936C22—1341no—
1937C22C22×D4×D6711yescharacteristic
1938C4—21no—
1939C4—21no—
1940C4—21no—
1941C4—41no—
1942C4—41no—
1943C4—41no—
1944C4—41no—
1945C4—41no—
1946C4—2681no—
1947C4—2681no—
1948C4—2681no—
1949C4—2681no—
1950C4—1341no—
1951C4—1341no—
1952C4—1341no—
1953C4—1341no—
1954C4—1341no—
1955C4—1341no—
1956C4H(5,𝔽2)×D6711yescharacteristic
1957C4H(5,𝔽2)×D6711yescharacteristic
1958C2—41no—
1959C2—41no—
1960C2—41no—
1961C2—81no—
1962C2—81no—
1963C2—81no—
1964C2—2682no—
1965C2—2682no—
1966C2—5361no—
1967C2—5361no—
1968C2—1342no—
1969C2—1342no—
1970C2#2257384111yescharacteristic
1971C2#576×D6711yescharacteristic
1972C2#577×D6711yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3198C2
socleC22×C67C23×D4
hypercenter#3198D67
hypocenterC67#61629
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3198

Complements

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

NH ≅ G/Ntype
1. #22574427C2semidirect
2. #22573843C2semidirect
3. #22572293C2semidirect
4. #22572285C2semidirect
5. #22572173C2semidirect
6. #22572165C2semidirect
7. #22572031C2semidirect
8. #22572028C2semidirect
9. #22572020C2semidirect
10. #22572017C2semidirect
11. #22571923C2semidirect
12. #22571919C2semidirect
13. #22571897C2semidirect
14. #22571892C2semidirect
15. #22571711C2semidirect
16. #22571707C2semidirect
17. #22571696C2semidirect
18. #22571692C2semidirect
19. #22571307C2semidirect
20. #22571299C2semidirect
21. #22571061C2semidirect
22. #22570994C2semidirect
23. #22570978C2semidirect
24. #22570396C2semidirect
25. #22570388C2semidirect
26. #22569516C2semidirect
27. #22569510C2semidirect
28. #450×D67C2semidirect
29. #447×D67C2semidirect
30. #22569261C2semidirect
31. C67×#3198C2semidirect
32. C2×#14524089C22semidirect
34. C2×#14524071C22semidirect
35. C2×#14524068C22semidirect
36. C2×#14524065C22semidirect
37. C2×#14524063C22semidirect
38. C2×SD16×D67C22semidirect
39. C2×SD16×D67C22semidirect
40. C2×D8×D67C22semidirect
41. C2×D8×D67C22semidirect
44. #16864104C22semidirect
45. #16864101C22semidirect
46. #16864056C22semidirect
47. #16864053C22semidirect
48. #16864047C22semidirect
49. #16864046C22semidirect
53. #16864043C22semidirect
54. #16864043C22semidirect
55. #16864043C22semidirect
59. #16864034C22semidirect
64. #16864030C22semidirect
65. #16864030C22semidirect
67. #16864019C22semidirect
68. #16864013C22semidirect
72. #16863974C22semidirect
73. #16863963C22semidirect
78. C22⋊Q8×D67C22semidirect
79. #121×D67C22semidirect
82. #16863870C22semidirect
83. #16863784C22semidirect
84. #16863782C22semidirect
85. #16863779C22semidirect
86. #16863777C22semidirect
87. #16863754C22semidirect
88. #16863754C22semidirect
89. #16863741C22semidirect
90. #16863741C22semidirect
91. #16863737C22semidirect
92. #16863733C22semidirect
93. #16863728C22semidirect
94. #16863720C22semidirect
95. #16863716C22semidirect
96. #16863712C22semidirect
97. #16863711C22semidirect
98. #16863707C22semidirect
99. #16863685C22semidirect
100. #16863685C22semidirect
101. #16863675C22semidirect
102. #16863675C22semidirect
103. #16863647C22semidirect
104. #16863640C22semidirect
105. #16863638C22semidirect
106. #16863636C22semidirect
107. #16863633C22semidirect
108. #16863631C22semidirect
109. #16863630C22semidirect
110. #16863628C22semidirect
111. #16863626C22semidirect
112. #16863626C22semidirect
113. #16863624C22semidirect
114. #16863623C22semidirect
115. #16863617C22semidirect
116. #16863616C22semidirect
117. #16863614C22semidirect
118. #16863614C22semidirect
119. #16863610C22semidirect
120. #16863610C22semidirect
121. #16863610C22semidirect
122. #16863609C22semidirect
123. #16863595C22semidirect
124. #16863594C22semidirect
125. #16863590C22semidirect
126. #16863589C22semidirect
127. #16863560C22semidirect
128. #16863560C22semidirect
129. #16863556C22semidirect
130. #16863556C22semidirect
131. #16863553C22semidirect
132. #16863549C22semidirect
133. #16863549C22semidirect
134. #16863548C22semidirect
135. #16863548C22semidirect
136. #16863548C22semidirect
137. #16863547C22semidirect
138. #16863546C22semidirect
139. #16863546C22semidirect
140. #16863545C22semidirect
141. #16863545C22semidirect
142. #16863543C22semidirect
143. #16863543C22semidirect
144. #16863539C22semidirect
145. #16863539C22semidirect
146. #16863539C22semidirect
147. #16863539C22semidirect
148. #16863536C22semidirect
150. #16863532C22semidirect
151. #16863531C22semidirect
152. #16863531C22semidirect
153. #16863531C22semidirect
154. #16863530C22semidirect
156. #16863529C22semidirect
157. #16863528C22semidirect
158. #16863528C22semidirect
159. #16863507C22semidirect
160. #16863505C22semidirect
161. #16863499C22semidirect
162. #16863495C22semidirect
163. #16863483C22semidirect
164. #16863481C22semidirect
165. #16863478C22semidirect
166. #16863476C22semidirect
167. #16863470C22semidirect
168. #16863470C22semidirect
169. #16863465C22semidirect
170. #16863465C22semidirect
171. C8×C22⋊D67C22semidirect
172. C8×C22⋊D67C22semidirect
173. (C22⋊D67)⋊C8C22semidirect
174. (C22⋊D67)⋊C8C22semidirect
175. #16863454C22semidirect
176. #16863454C22semidirect
177. #16863398C22semidirect
178. #16863395C22semidirect
179. C2×#14523965C22semidirect
180. C2×#14523963C22semidirect
181. #102×D67C22semidirect
182. #102×D67C22semidirect
183. #102×D67C22semidirect
184. #102×D67C22semidirect
185. #16863363C22semidirect
186. C22⋊C8×D67C22semidirect
187. C22⋊C8×D67C22semidirect
188. #537×C67C22semidirect
189. #535×C67C22semidirect
190. #485×C67C22semidirect
191. #482×C67C22semidirect
192. #481×C67C22semidirect
193. #480×C67C22semidirect
194. #469×C67C22semidirect
195. #468×C67C22semidirect
196. #466×C67C22semidirect
197. #465×C67C22semidirect
198. #450×C67C22semidirect
199. #449×C67C22semidirect
200. #449×C67C22semidirect
201. #447×C67C22semidirect
202. #408×C67C22semidirect
211. C2×#11761628C23semidirect
240. C2×Dic268C23semidirect
241. C2×#11761618C23semidirect
244. C2×#11761617C23semidirect
245. C2×#11761617C23semidirect
248. C2×#11761616C23semidirect
251. C2×#11761615C23semidirect
256. C2×D536C23semidirect
261. C2×#11761613C23semidirect
264. C2×#11761612C23semidirect
265. C22×C67⋊C8C23semidirect
270. #14524042C23semidirect
271. #14524042C23semidirect
278. #14524032C23semidirect
283. #14524030C23semidirect
309. #14524022C23semidirect
326. #14524017C23semidirect
368. Q8×Dic67C23semidirect
369. #14524008C23semidirect
374. D4×Dic67C23semidirect
380. #14524005C23semidirect
389. C2×C4⋊Dic67C23semidirect
403. #14523976C23semidirect
404. #14523976C23semidirect
405. #14523974C23semidirect
406. #14523974C23semidirect
407. Dic67⋊C8C23semidirect
408. Dic67⋊C8C23semidirect
409. Dic67⋊C8C23semidirect
410. Dic67⋊C8C23semidirect
411. #14523968C23semidirect
412. #14523968C23semidirect
413. #14523966C23semidirect
414. #14523966C23semidirect
415. #14523966C23semidirect
416. #14523966C23semidirect
421. #14523965C23semidirect
422. #14523965C23semidirect
431. #14523963C23semidirect
432. #14523963C23semidirect
433. #14523963C23semidirect
434. #14523963C23semidirect
437. C22⋊(C67⋊C8)C23semidirect
438. C22⋊(C67⋊C8)C23semidirect
443. #14523953C23semidirect
444. #14523953C23semidirect
445. C8×Dic67C23semidirect
446. C8×Dic67C23semidirect
448. C2×#41×C67C23semidirect
454. C2×M16×C67C23semidirect
455. C22×C8×C67C23semidirect
460. C22⋊Q8×C67C23semidirect
469. #121×C67C23semidirect
473. C2×C4⋊C4×C67C23semidirect
474. #107×C67C23semidirect
475. #107×C67C23semidirect
476. #106×C67C23semidirect
477. #106×C67C23semidirect
478. #103×C67C23semidirect
479. #103×C67C23semidirect
484. #102×C67C23semidirect
485. #102×C67C23semidirect
488. C22⋊C8×C67C23semidirect
489. C22⋊C8×C67C23semidirect
1008. #3198D67semidirect
1018. C67#61629semidirect
1060. #537C2×D67semidirect
1062. #535C2×D67semidirect
1081. #485C2×D67semidirect
1085. #482C2×D67semidirect
1088. #481C2×D67semidirect
1091. #480C2×D67semidirect
1097. #469C2×D67semidirect
1099. #468C2×D67semidirect
1105. #466C2×D67semidirect
1111. #465C2×D67semidirect
1139. #450C2×D67semidirect
1146. #449C2×D67semidirect
1147. #449C2×D67semidirect
1159. #447C2×D67semidirect
1187. #408C2×D67semidirect
1201. C2×#41C22×D67semidirect
1259. C2×M16C22×D67semidirect
1265. C22×C8C22×D67semidirect
1322. C22⋊Q8C22×D67semidirect
1358. #121C22×D67semidirect
1406. C2×C4⋊C4C22×D67semidirect
1419. #107C22×D67semidirect
1420. #107C22×D67semidirect
1423. #106C22×D67semidirect
1424. #106C22×D67semidirect
1435. #103C22×D67semidirect
1436. #103C22×D67semidirect
1459. #102C22×D67semidirect
1460. #102C22×D67semidirect
1471. C22⋊C8C22×D67semidirect
1472. C22⋊C8C22×D67semidirect

Maximal subgroups

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

subgroupindex
#225744272
#225738432
#225722932
#225722852
#225721732
#225721652
#225720312
#225720282
#225720202
#225720172
#225719232
#225719192
#225718972
#225718922
#225717112
#225717072
#225716962
#225716922
#225713072
#225712992
#225710612
#225709942
#225709782
#225703962
#225703882
#225695162
#225695102
#450×D672
#447×D672
#225692612
C67×#31982
#6162967