Finite Group Databasebeta

← #31741381

Subgroups — #31741381

Order 17152.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574519C211yesmaximal, characteristic, complemented
2#22573837C211yesmaximal, characteristic, complemented
3#22572447C211yesmaximal, characteristic, complemented
4#22572407C211yesmaximal, characteristic, complemented
5#22572363C211yesmaximal, characteristic, complemented
6#22572349C211yesmaximal, characteristic, complemented
7#22572166C211yesmaximal, characteristic, complemented
8#22572038C211yesmaximal, characteristic, complemented
9#22572020C211yesmaximal, characteristic, complemented
10#22571887C211yesmaximal, characteristic, complemented
11D4×#11761613C211yesmaximal, characteristic, complemented
12#22571824C211yesmaximal, characteristic, complemented
13#22571817C211yesmaximal, characteristic, complemented
14#22571751C211yesmaximal, characteristic, complemented
15#22571694C211yesmaximal, characteristic, complemented
16#22571693C211yesmaximal, characteristic, complemented
17#22571686C211yesmaximal, characteristic, complemented
18#22571308C211yesmaximal, characteristic, complemented
19#22571260C211yesmaximal, characteristic, complemented
20#22571073C211yesmaximal, characteristic, complemented
21#22571062C211yesmaximal, characteristic, complemented
22#22571022C211yesmaximal, characteristic, complemented
23#22570998C211yesmaximal, characteristic, complemented
24#22570454C211yesmaximal, characteristic, complemented
25#22570397C211yesmaximal, characteristic, complemented
26#22569514C211yesmaximal, characteristic, complemented
27#22569478C211yesmaximal, characteristic, complemented
28#22569437C211yesmaximal, characteristic, complemented
29C2×#16863531C211yesmaximal, characteristic, complemented
30#22569258C211yesmaximal, characteristic, complemented
31C67×#3310C211yesmaximal, characteristic, complemented
32C2×#14524088C2211yescharacteristic, complemented
33C22×D4×D67C2211yescharacteristic, complemented
34C2×#14524071C2211yescharacteristic, complemented
35C2×#14524070C2211yescharacteristic, complemented
36C2×#14524070C2211yescharacteristic, complemented
37C2×#14524070C2211yescharacteristic, complemented
38C2×#14524064C2211yescharacteristic, complemented
39C22×D536C2211yescharacteristic, complemented
40C22×#11761613C2211yescharacteristic, complemented
41C22×#11761613C2211yescharacteristic, complemented
42#16864144—21no—
43#16864137—21no—
44#16864109C2211yescharacteristic, complemented
45#16864099C2211yescharacteristic, complemented
46#16864070—21no—
47#16864068C2211yescharacteristic, complemented
48#16864047C2211yescharacteristic, complemented
49#16864043C2211yescharacteristic, complemented
50#16864042C2211yescharacteristic
51#16864041C2211yescharacteristic, complemented
52#16864040C2211yescharacteristic, complemented
53#16864038—21no—
54#16864037C2211yescharacteristic, complemented
55#16864037C2211yescharacteristic, complemented
56#16864035—21no—
57#16864033—21no—
58D4×D268C2211yescharacteristic, complemented
59#16864031C2211yescharacteristic, complemented
60#16864030C2211yescharacteristic, complemented
61D4×C22⋊D67—21no—
62D4×C22⋊D67C2211yescharacteristic, complemented
63#16864028—21no—
64#16864018C2211yescharacteristic, complemented
65#16864002—21no—
66#16864002C2211yescharacteristic, complemented
67#16863985—21no—
68#16863976C2211yescharacteristic, complemented
69#16863965—21no—
70#16863965C2211yescharacteristic, complemented
71#16863962C2211yescharacteristic, complemented
72#16863959C2211yescharacteristic, complemented
73#16863957—21no—
74#16863956—21no—
75#16863954—21no—
76#16863909C2211yescharacteristic, complemented
77#16863906C2211yescharacteristic, complemented
78#16863905C2211yescharacteristic
79C2×#14524018C2211yescharacteristic, complemented
80C2×#14524011—21no—
81#120×D67—21no—
82#16863868C2211yescharacteristic, complemented
83#16863785C2211yescharacteristic, complemented
84#16863782C2211yescharacteristic, complemented
85#16863777C2211yescharacteristic, complemented
86#16863772C2211yescharacteristic, complemented
87#16863754C2211yescharacteristic, complemented
88#16863753C2211yescharacteristic, complemented
89#16863741C2211yescharacteristic, complemented
90#16863740C2211yescharacteristic, complemented
91#16863735C2211yescharacteristic, complemented
92#16863726C2211yescharacteristic, complemented
93#16863723C2211yescharacteristic, complemented
94#16863723C2211yescharacteristic, complemented
95#16863722C2211yescharacteristic, complemented
96#16863720C2211yescharacteristic, complemented
97#16863719C2211yescharacteristic, complemented
98#16863713C2211yescharacteristic, complemented
99#16863711C2211yescharacteristic, complemented
100#16863693C2211yescharacteristic, complemented
101#16863684C2211yescharacteristic, complemented
102#16863675C2211yescharacteristic, complemented
103#16863650C2211yescharacteristic, complemented
104#16863649C2211yescharacteristic, complemented
105#16863648C2211yescharacteristic, complemented
106#16863648C2211yescharacteristic, complemented
107#16863648C2211yescharacteristic, complemented
108#16863643C2211yescharacteristic, complemented
109#16863643C2211yescharacteristic, complemented
110#16863635C2211yescharacteristic, complemented
111#16863633C2211yescharacteristic, complemented
112#16863631C2211yescharacteristic, complemented
113#16863630C2211yescharacteristic, complemented
114#16863630C2211yescharacteristic, complemented
115#16863627C2211yescharacteristic, complemented
116#16863625C2211yescharacteristic, complemented
117#16863618C2211yescharacteristic, complemented
118#16863614C2211yescharacteristic, complemented
119#16863613C2211yescharacteristic, complemented
120#16863612C2211yescharacteristic, complemented
121#16863610C2211yescharacteristic, complemented
122#16863610C2211yescharacteristic, complemented
123#16863592C2211yescharacteristic, complemented
124#16863591C2211yescharacteristic, complemented
125#16863590C2211yescharacteristic, complemented
126#16863590C2211yescharacteristic, complemented
127#16863588C2211yescharacteristic, complemented
128#16863561C2211yescharacteristic, complemented
129#16863556C2211yescharacteristic, complemented
130#16863555C2211yescharacteristic, complemented
131#16863549C2211yescharacteristic, complemented
132#16863546C2211yescharacteristic, complemented
133#16863545C2211yescharacteristic, complemented
134#16863545C2211yescharacteristic, complemented
135#16863544C2211yescharacteristic, complemented
136#16863543C2211yescharacteristic, complemented
137#16863542C2211yescharacteristic, complemented
138#16863542C2211yescharacteristic, complemented
139#16863542C2211yescharacteristic, complemented
140#16863542C2211yescharacteristic, complemented
141#16863542C2211yescharacteristic, complemented
142#16863540C2211yescharacteristic, complemented
143#16863540C2211yescharacteristic, complemented
144#16863532C2211yescharacteristic, complemented
145#16863532C2211yescharacteristic, complemented
146#16863531C2211yescharacteristic
147#16863531C2211yescharacteristic, complemented
148#16863531C2211yescharacteristic, complemented
149#16863531C2211yescharacteristic, complemented
150#16863531C2211yescharacteristic, complemented
151#16863531C2211yescharacteristic, complemented
152#16863531C2211yescharacteristic, complemented
153#16863531C2211yescharacteristic, complemented
154#16863531C2211yescharacteristic, complemented
155#16863531C2211yescharacteristic, complemented
156#16863531C2211yescharacteristic, complemented
157#16863531C2211yescharacteristic, complemented
158#16863530C2211yescharacteristic, complemented
159#16863530C2211yescharacteristic, complemented
160#16863529C2211yescharacteristic, complemented
161#16863529C2211yescharacteristic, complemented
162#16863509C2211yescharacteristic, complemented
163#16863507C2211yescharacteristic, complemented
164#16863505C2211yescharacteristic, complemented
165C4×#11761615C2211yescharacteristic, complemented
166#16863478C2211yescharacteristic, complemented
167C4×#11761613C2211yescharacteristic, complemented
168#16863476C2211yescharacteristic, 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#552×C67C2211yescharacteristic, complemented
189D42×C67C2211yescharacteristic
190#490×C67C2211yescharacteristic, complemented
191#482×C67C2211yescharacteristic, complemented
192#480×C67C2211yescharacteristic, complemented
193#478×C67C2211yescharacteristic, complemented
194#468×C67C2211yescharacteristic, complemented
195#465×C67C2211yescharacteristic, complemented
196#460×C67C2211yescharacteristic, complemented
197#450×C67C2211yescharacteristic, complemented
198#450×C67C2211yescharacteristic, complemented
199#440×C67C2211yescharacteristic, complemented
200#435×C67C2211yescharacteristic, complemented
201#418×C67C2211yescharacteristic, complemented
202C2×#102×C67C2211yescharacteristic, complemented
203C24×D67—21no—
204#14524088—42no—
205#14524088—42no—
206C2×#11761629C2311yescharacteristic
207C2×#11761629C2311yescharacteristic, complemented
208C2×#11761628—21no—
209C2×#11761628C2311yescharacteristic
210C2×#11761628C2311yescharacteristic
211C2×#11761627—21no—
212C2×#11761627C2311yescharacteristic
213C2×#11761627C2311yescharacteristic
214C22×D268—21no—
215C22×D268C2311yescharacteristic
216C22×D268C2311yescharacteristic
217C22×D268C2311yescharacteristic, complemented
218C22×C22⋊D67—21no—
219C22×C22⋊D67—21no—
220C22×C22⋊D67—21no—
221C22×C22⋊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#14524070—42no—
238#14524070—42no—
239#14524070—42no—
240#14524064—42no—
241C2×#11761618C2311yescharacteristic, complemented
242C2×#11761617C2311yescharacteristic, complemented
243C2×#11761617C2311yescharacteristic, complemented
244C2×#11761617C2311yescharacteristic, complemented
245C2×#11761615C2311yescharacteristic
246C2×#11761615C2311yescharacteristic
247C2×D536—42no—
248C2×D536C2311yescharacteristic
249C2×D536C2311yescharacteristic
250C2×D536C2311yescharacteristic
251C2×D536C2311yescharacteristic
252C2×D536C2311yescharacteristic
253C2×D536C2311yescharacteristic
254C2×#11761613—42no—
255C2×#11761613—42no—
256C2×#11761613C2311yescharacteristic
257C2×#11761613C2311yescharacteristic
258C2×#11761613C2311yescharacteristic
259C2×#11761613C2311yescharacteristic
260C2×#11761613C2311yescharacteristic
261C2×#11761613C2311yescharacteristic
262C2×#11761613C2311yescharacteristic, complemented
263C2×#11761613C2311yescharacteristic, complemented
264C2×#11761613C2311yescharacteristic, complemented
265C2×#11761611C2311yescharacteristic
266C2×#11761611C2311yescharacteristic
267C2×#11761611C2311yescharacteristic, complemented
268C22×C67⋊C8C2311yescharacteristic
269C22×C67⋊C8C2311yescharacteristic, complemented
270C2×C8×D67C2311yescharacteristic, complemented
271#14524042C2311yescharacteristic, complemented
272#14524040—21no—
273#14524040—21no—
274#14524040C2311yescharacteristic, complemented
275#14524039—21no—
276#14524039C2311yescharacteristic
277#14524038—21no—
278#14524037—21no—
279#14524032C2311yescharacteristic, complemented
280#14524031—21no—
281#14524031—21no—
282#14524031—21no—
283#14524031C2311yescharacteristic
284#14524030C2311yescharacteristic
285#14524029—21no—
286#14524029—21no—
287#14524028—21no—
288#14524028—21no—
289#14524028—21no—
290#14524028—21no—
291#14524028—21no—
292#14524028—21no—
293#14524028—21no—
294#14524028—21no—
295#14524028—21no—
296#14524028D411yescharacteristic
297#14524027—21no—
298#14524026—21no—
299#14524025—21no—
300#14524025—21no—
301#14524025D411yescharacteristic
302#14524024—21no—
303#14524023C2311yescharacteristic
304#14524022C2311yescharacteristic
305#14524021—21no—
306#14524021—21no—
307#14524021—21no—
308#14524021D411yescharacteristic
309#14524020D411yescharacteristic
310#14524019C2311yescharacteristic
311#14524018—21no—
312#14524018—21no—
313#14524018—21no—
314#14524018—21no—
315#14524018—21no—
316#14524018—21no—
317#14524018—21no—
318#14524018—21no—
319#14524018—21no—
320#14524018—21no—
321#14524018—21no—
322#14524018C2311yescharacteristic
323#14524018C2311yescharacteristic
324#14524018C2311yescharacteristic
325#14524018C2311yescharacteristic
326#14524018C2311yescharacteristic
327#14524018C2311yescharacteristic
328#14524018C2311yescharacteristic, complemented
329#14524018C2311yescharacteristic, complemented
330#14524017—21no—
331#14524017C2311yescharacteristic
332#14524017C2311yescharacteristic
333#14524017C2311yescharacteristic, complemented
334#14524016—21no—
335#14524016—21no—
336#14524016—21no—
337#14524016—21no—
338#14524016—21no—
339#14524016D411yescharacteristic
340#14524015—21no—
341#14524015—21no—
342#14524015—21no—
343#14524015—21no—
344#14524015D411yescharacteristic
345#14524014—21no—
346#14524014—21no—
347#14524014C2311yescharacteristic
348#14524014C2311yescharacteristic
349#14524013—21no—
350#14524013—21no—
351#14524013—21no—
352#14524013—21no—
353#14524013—21no—
354#14524013—21no—
355#14524013—21no—
356#14524013—21no—
357#14524013—21no—
358#14524013—21no—
359#14524013D411yescharacteristic
360#14524012—21no—
361#14524012—21no—
362#14524011—21no—
363#14524011—21no—
364#14524011—21no—
365#14524011—21no—
366#14524011—21no—
367#14524011—21no—
368#14524011—21no—
369#14524011—21no—
370#14524011—21no—
371#14524011—21no—
372#14524011D411yescharacteristic
373C4×D268—21no—
374C4×D268C2311yescharacteristic
375C4×D268C2311yescharacteristic
376C4×D268C2311yescharacteristic, complemented
377D4×Dic67—21no—
378D4×Dic67C2311yescharacteristic
379#14524005—21no—
380#14524005—21no—
381#14524005C2311yescharacteristic
382#14524005C2311yescharacteristic, complemented
383#14524005C2311yescharacteristic, complemented
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#14524001C2311yescharacteristic
391#14524001C2311yescharacteristic
392#14524000—21no—
393#14524000C2311yescharacteristic
394C4⋊C4×D67C2311yescharacteristic, complemented
395C2×C22⋊Dic67—21no—
396C2×(C2×D67)⋊C4—21no—
397C2×(C2×D67)⋊C4—21no—
398C2×(C2×D67)⋊C4—21no—
399C22⋊C4×D67—21no—
400C22⋊C4×D67—21no—
401C22⋊C4×D67—21no—
402C22⋊C4×D67—21no—
403C22⋊C4×D67—21no—
404#14523976C2311yescharacteristic, complemented
405#14523976C2311yescharacteristic, complemented
406#14523975C2311yescharacteristic, complemented
407#14523974C2311yescharacteristic, complemented
408#14523974C2311yescharacteristic, complemented
409C4⋊(C67⋊C8)C2311yescharacteristic, complemented
410Dic67⋊C8C2311yescharacteristic, complemented
411Dic67⋊C8C2311yescharacteristic, complemented
412#14523968C2311yescharacteristic, complemented
413#14523967C2311yescharacteristic, complemented
414#14523966C2311yescharacteristic, complemented
415#14523966C2311yescharacteristic, complemented
416#14523966C2311yescharacteristic, complemented
417#14523965C2311yescharacteristic
418#14523965C2311yescharacteristic
419#14523965C2311yescharacteristic, complemented
420#14523965C2311yescharacteristic, complemented
421#14523965C2311yescharacteristic, complemented
422#14523964C2311yescharacteristic
423#14523964C2311yescharacteristic
424#14523964C2311yescharacteristic, complemented
425#14523963C2311yescharacteristic
426#14523963C2311yescharacteristic
427#14523963C2311yescharacteristic
428#14523963C2311yescharacteristic
429#14523963C2311yescharacteristic
430#14523963C2311yescharacteristic
431#14523963C2311yescharacteristic, complemented
432#14523963C2311yescharacteristic, complemented
433#14523963C2311yescharacteristic, complemented
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×SD16×C67C2311yescharacteristic
451C2×SD16×C67C2311yescharacteristic
452C2×SD16×C67C2311yescharacteristic, complemented
453C2×M16×C67C2311yescharacteristic, complemented
454C22×C8×C67C2311yescharacteristic
455#127×C67C2311yescharacteristic
456#126×C67—21no—
457#125×C67—21no—
458#125×C67C2311yescharacteristic, complemented
459#123×C67—21no—
460C22⋊Q8×C67C2311yescharacteristic
461C22⋊Q8×C67C2311yescharacteristic, complemented
462#121×C67—21no—
463#121×C67C2311yescharacteristic
464#121×C67C2311yescharacteristic
465#120×C67—21no—
466#120×C67—21no—
467C4×Q8×C67C2311yescharacteristic, complemented
468C4×D4×C67C2311yescharacteristic
469C4×D4×C67C2311yescharacteristic
470#117×C67—21no—
471#117×C67C2311yescharacteristic, complemented
472C2×C4⋊C4×C67C2311yescharacteristic
473#107×C67C2311yescharacteristic, complemented
474#107×C67C2311yescharacteristic, complemented
475#106×C67C2311yescharacteristic, complemented
476C4⋊C8×C67C2311yescharacteristic, complemented
477#103×C67C2311yescharacteristic, complemented
478#102×C67C2311yescharacteristic
479#102×C67C2311yescharacteristic
480#102×C67C2311yescharacteristic
481#102×C67C2311yescharacteristic
482#102×C67C2311yescharacteristic
483#102×C67C2311yescharacteristic
484#102×C67C2311yescharacteristic, complemented
485#102×C67C2311yescharacteristic, complemented
486#102×C67C2311yescharacteristic, complemented
487C22⋊C8×C67C2311yescharacteristic
488C22⋊C8×C67C2311yescharacteristic, complemented
489#97×C67C2311yescharacteristic, complemented
490C23×D67—21no—
491C23×D67—21no—
492C23×D67—21no—
493C23×D67—21no—
494C23×D67—21no—
495C23×D67—21no—
496C23×D67—21no—
497C23×D67—21no—
498C23×D67—44no—
499C23×D67—82no—
500C23×D67—82no—
501C23×D67C2×D411yescharacteristic
502#11761629—41no—
503#11761629—41no—
504#11761629—41no—
505#11761629—41no—
506#11761628—22no—
507#11761628—41no—
508#11761628—41no—
509#11761628—41no—
510#11761628—82no—
511#11761627—22no—
512#11761627—41no—
513#11761627—41no—
514#11761627—41no—
515#11761627—44no—
516C2×Dic134—21no—
517C2×Dic134C2×D411yescharacteristic
518C2×Dic134C2411yescharacteristic
519C2×D268—22no—
520C2×D268—21no—
521C2×D268—21no—
522C2×D268—21no—
523C2×D268—21no—
524C2×D268—21no—
525C2×D268—21no—
526C2×D268—21no—
527C2×D268—21no—
528C2×D268—21no—
529C2×D268—21no—
530C2×D268—21no—
531C2×D268—21no—
532C2×D268—21no—
533C2×D268—21no—
534C2×D268—21no—
535C2×D268—41no—
536C2×D268—41no—
537C2×D268—41no—
538C2×D268—41no—
539C2×D268—41no—
540C2×D268—82no—
541C2×D268C2×D411yescharacteristic
542C2×D268C2×D411yescharacteristic
543C2×D268C2411yescharacteristic
544C2×D268C2411yescharacteristic
545C2×D268C2411yescharacteristic
546C2×D268C2411yescharacteristic
547C2×D268C2411yescharacteristic
548C2×C22⋊D67—21no—
549C2×C22⋊D67—21no—
550C2×C22⋊D67—21no—
551C2×C22⋊D67—21no—
552C2×C22⋊D67—21no—
553C2×C22⋊D67—21no—
554C2×C22⋊D67—21no—
555C2×C22⋊D67—21no—
556C2×C22⋊D67—21no—
557C2×C22⋊D67—21no—
558C2×C22⋊D67—21no—
559C2×C22⋊D67—21no—
560C2×C22⋊D67—21no—
561C2×C22⋊D67—21no—
562C2×C22⋊D67—21no—
563C2×C22⋊D67—44no—
564C2×C22⋊D67—44no—
565C2×C22⋊D67—44no—
566C2×C22⋊D67—82no—
567C2×C22⋊D67C2×D411yescharacteristic
568C2×C22⋊D67C2×D411yescharacteristic
569C2×C22⋊D67C2×D411yescharacteristic
570C2×C22⋊D67C2×D411yescharacteristic
571D4×D67—22no—
572D4×D67—22no—
573D4×D67—22no—
574D4×D67—22no—
575D4×D67—22no—
576D4×D67—41no—
577D4×D67—41no—
578D4×D67—41no—
579D4×D67—41no—
580D4×D67—41no—
581D4×D67—44no—
582D4×D67—44no—
583D4×D67—44no—
584D4×D67—82no—
585D4×D67—82no—
586D4×D67—82no—
587C22×Dic67—21no—
588C22×Dic67—21no—
589C22×Dic67—21no—
590C22×Dic67C2×D411yescharacteristic
591C2×C4×D67—21no—
592C2×C4×D67—21no—
593C2×C4×D67—21no—
594C2×C4×D67—21no—
595C2×C4×D67—21no—
596C2×C4×D67—21no—
597C2×C4×D67—21no—
598C2×C4×D67—21no—
599C2×C4×D67—21no—
600C2×C4×D67—41no—
601C2×C4×D67—41no—
602C2×C4×D67C2×D411yescharacteristic
603C2×C4×D67C2×D411yescharacteristic
604C2×C4×D67C2411yescharacteristic
605C2×C4×D67C2411yescharacteristic
606C2×C4×D67C2411yescharacteristic
607#11761618—41no—
608#11761617—41no—
609#11761617—41no—
610#11761617—41no—
611#11761615—22no—
612#11761615—41no—
613D536—22no—
614D536—22no—
615D536—22no—
616D536—41no—
617D536—41no—
618D536—41no—
619#11761613—22no—
620#11761613—22no—
621#11761613—22no—
622#11761613—41no—
623#11761613—41no—
624#11761613—41no—
625#11761613—41no—
626#11761613—41no—
627#11761613—41no—
628#11761611—41no—
629#11761611—41no—
630#11761611—41no—
631C2×C67⋊C8—41no—
632C2×C67⋊C8—41no—
633C2×C67⋊C8C2411yescharacteristic
634C2×C67⋊C8C2411yescharacteristic
635C2×C67⋊C8C2411yescharacteristic
636C2×C67⋊C8C2411yescharacteristic
637C8×D67—41no—
638C4⋊Dic67—21no—
639C4⋊Dic67C2×D411yescharacteristic
640C4⋊Dic67C2411yescharacteristic
641C4⋊Dic67C2411yescharacteristic
642Dic67⋊C4—21no—
643Dic67⋊C4—21no—
644Dic67⋊C4—21no—
645Dic67⋊C4—21no—
646Dic67⋊C4C2×D411yescharacteristic
647Dic67⋊C4C2×D411yescharacteristic
648Dic67⋊C4C2×D411yescharacteristic
649Dic67⋊C4C2×D411yescharacteristic
650C22⋊Dic67—21no—
651C22⋊Dic67—21no—
652C22⋊Dic67—21no—
653C22⋊Dic67—21no—
654C22⋊Dic67—21no—
655C22⋊Dic67—21no—
656C22⋊Dic67C2×D411yescharacteristic
657C22⋊Dic67C2×D411yescharacteristic
658(C2×D67)⋊C4—21no—
659(C2×D67)⋊C4—21no—
660(C2×D67)⋊C4—21no—
661(C2×D67)⋊C4—21no—
662(C2×D67)⋊C4—21no—
663(C2×D67)⋊C4—21no—
664(C2×D67)⋊C4—21no—
665(C2×D67)⋊C4—21no—
666(C2×D67)⋊C4—21no—
667(C2×D67)⋊C4—21no—
668(C2×D67)⋊C4—21no—
669(C2×D67)⋊C4—21no—
670(C2×D67)⋊C4—21no—
671(C2×D67)⋊C4—21no—
672(C2×D67)⋊C4—21no—
673(C2×D67)⋊C4—21no—
674(C2×D67)⋊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)⋊C4—21no—
682(C2×D67)⋊C4C2×D411yescharacteristic
683(C2×D67)⋊C4C2×D411yescharacteristic
684(C2×D67)⋊C4C2×D411yescharacteristic
685(C2×D67)⋊C4C2×D411yescharacteristic
686(C2×D67)⋊C4C2×D411yescharacteristic
687(C2×D67)⋊C4C2×D411yescharacteristic
688C4×Dic67—21no—
689C4×Dic67—21no—
690C4×Dic67C2411yescharacteristic
691C24×C67—21no—
692C24×C67—21no—
693C2×Q8×C67C2411yescharacteristic
694C2×D4×C67—22no—
695C2×D4×C67—22no—
696C2×D4×C67—21no—
697C2×D4×C67—21no—
698C2×D4×C67—21no—
699C2×D4×C67—21no—
700C2×D4×C67—21no—
701C2×D4×C67—21no—
702C2×D4×C67—41no—
703C2×D4×C67—41no—
704C2×D4×C67—82no—
705C2×D4×C67C2×D411yescharacteristic
706C2×D4×C67C2411yescharacteristic
707C2×D4×C67C2411yescharacteristic
708C2×D4×C67C2411yescharacteristic
709C22×C4×C67—21no—
710C22×C4×C67—21no—
711C22×C4×C67C2411yescharacteristic
712C22×C4×C67C2411yescharacteristic
713SD16×C67—22no—
714SD16×C67—41no—
715SD16×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×C67—21no—
726C4⋊C4×C67—21no—
727C4⋊C4×C67—21no—
728C4⋊C4×C67C2×D411yescharacteristic
729C4⋊C4×C67C2411yescharacteristic
730C4⋊C4×C67C2411yescharacteristic
731C4⋊C4×C67C2411yescharacteristic
732C4⋊C4×C67C2411yescharacteristic
733C22⋊C4×C67—21no—
734C22⋊C4×C67—21no—
735C22⋊C4×C67—21no—
736C22⋊C4×C67—21no—
737C22⋊C4×C67—21no—
738C22⋊C4×C67—21no—
739C22⋊C4×C67C2×D411yescharacteristic
740C22⋊C4×C67C2×D411yescharacteristic
741C42×C67—21no—
742C42×C67—21no—
743C42×C67C2411yescharacteristic
744C23×C67—21no—
745C23×C67—21no—
746C23×C67—21no—
747C23×C67—42no—
748C23×C67—42no—
749C23×C67—42no—
750C23×C67—81no—
751C23×C67—81no—
752C23×C67—81no—
753C23×C67C22×D411yescharacteristic
754C23×C67C22×D411yescharacteristic
755C22×D67—22no—
756C22×D67—21no—
757C22×D67—24no—
758C22×D67—21no—
759C22×D67—21no—
760C22×D67—21no—
761C22×D67—21no—
762C22×D67—41no—
763C22×D67—41no—
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—42no—
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—81no—
785C22×D67—81no—
786C22×D67—81no—
787C22×D67—816no—
788C22×D67C22×D411yescharacteristic
789C22×D67C22×D411yescharacteristic
790C22×D67C22×D411yescharacteristic
791Q8×C67—21no—
792Q8×C67—21no—
793D4×C67—22no—
794D4×C67—21no—
795D4×C67—21no—
796D4×C67—21no—
797D4×C67—21no—
798D4×C67—21no—
799D4×C67—42no—
800D4×C67—42no—
801D4×C67—42no—
802D4×C67—81no—
803D4×C67—81no—
804D4×C67—81no—
805D4×C67H(5,𝔽2)12yes—
806C2×C4×C67—21no—
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—42no—
816C2×C4×C67—81no—
817C2×C4×C67C22×D411yescharacteristic
818C2×C4×C67C22×D411yescharacteristic
819C2×C4×C67C22×D411yescharacteristic
820C2×C4×C67C22×D411yescharacteristic
821C2×C4×C67C2511yescharacteristic
822C22⋊D67—24no—
823C22⋊D67—22no—
824C22⋊D67—41no—
825C22⋊D67—41no—
826C22⋊D67—41no—
827C22⋊D67—42no—
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—
841C2×Dic67—21no—
842C2×Dic67—21no—
843C2×Dic67—21no—
844C2×Dic67—41no—
845C2×Dic67—42no—
846C2×Dic67—42no—
847C2×Dic67—81no—
848C2×Dic67C22×D411yescharacteristic
849C2×Dic67C22×D411yescharacteristic
850C2×Dic67C22×D411yescharacteristic
851C2×Dic67C22×D411yescharacteristic
852C2×Dic67C22×D411yescharacteristic
853D268—21no—
854D268—21no—
855D268—21no—
856D268—21no—
857D268—21no—
858D268—21no—
859D268—21no—
860D268—21no—
861D268—21no—
862D268—41no—
863D268—41no—
864D268—42no—
865D268—81no—
866D268—81no—
867D268—81no—
868D268—81no—
869D268—81no—
870D268—81no—
871D268—81no—
872D268—81no—
873D268—81no—
874D268—81no—
875D268—81no—
876D268—81no—
877D268—81no—
878D268—81no—
879D268H(5,𝔽2)12yes—
880C4×D67—21no—
881C4×D67—21no—
882C4×D67—21no—
883C4×D67—21no—
884C4×D67—21no—
885C4×D67—21no—
886C4×D67—41no—
887C4×D67—41no—
888C4×D67—42no—
889C4×D67—81no—
890C4×D67—81no—
891C4×D67—81no—
892C4×D67—81no—
893C4×D67—81no—
894C4×D67—81no—
895C4×D67—81no—
896C4×D67—81no—
897Dic134—21no—
898Dic134—21no—
899Dic134—41no—
900Dic134—81no—
901C8×C67—21no—
902C8×C67—21no—
903C8×C67—21no—
904C8×C67—21no—
905C67⋊C8—21no—
906C67⋊C8—21no—
907C67⋊C8—21no—
908C67⋊C8—21no—
909C22×C67—21no—
910C22×C67—21no—
911C22×C67—21no—
912C22×C67—22no—
913C22×C67—21no—
914C22×C67—21no—
915C22×C67—41no—
916C22×C67—41no—
917C22×C67—41no—
918C22×C67—41no—
919C22×C67—41no—
920C22×C67—41no—
921C22×C67—41no—
922C22×C67—41no—
923C22×C67—84no—
924C22×C67—162no—
925C22×C67#57612yes—
926C22×C67C23×D411yescharacteristic
927C2×D67—21no—
928C2×D67—21no—
929C2×D67—21no—
930C2×D67—21no—
931C2×D67—21no—
932C2×D67—21no—
933C2×D67—22no—
934C2×D67—21no—
935C2×D67—21no—
936C2×D67—21no—
937C2×D67—44no—
938C2×D67—41no—
939C2×D67—41no—
940C2×D67—41no—
941C2×D67—41no—
942C2×D67—41no—
943C2×D67—41no—
944C2×D67—41no—
945C2×D67—41no—
946C2×D67—41no—
947C2×D67—41no—
948C2×D67—41no—
949C2×D67—41no—
950C2×D67—41no—
951C2×D67—41no—
952C2×D67—84no—
953C2×D67—84no—
954C2×D67—84no—
955C2×D67—84no—
956C2×D67—84no—
957C2×D67—162no—
958C2×D67—162no—
959C2×D67—162no—
960C4×C67—21no—
961C4×C67—21no—
962C4×C67—21no—
963C4×C67—21no—
964C4×C67—41no—
965C4×C67—41no—
966C4×C67—41no—
967C4×C67—41no—
968C4×C67—41no—
969C4×C67C2×H(5,𝔽2)11yescharacteristic
970C4×C67C2×H(5,𝔽2)11yescharacteristic
971Dic67—21no—
972Dic67—21no—
973Dic67—21no—
974Dic67—21no—
975Dic67—21no—
976Dic67—41no—
977Dic67—41no—
978Dic67—41no—
979#61609—671nomaximal, Sylow
980C2×C67—22no—
981C2×C67—42no—
982C2×C67—41no—
983C2×C67—81no—
984C2×C67—81no—
985C2×C67#348411yescharacteristic
986C2×C67C2×#57611yescharacteristic
987C2×C67#358511yescharacteristic
988D67—41no—
989D67—41no—
990D67—41no—
991D67—42no—
992D67—81no—
993D67—81no—
994D67—81no—
995D67—81no—
996#3542—671no—
997#3484—671no—
998#3325—671no—
999#3322—671no—
1000#3319—671no—
1001#3318—671no—
1002#3310D6711yescharacteristic, complemented
1003#3306—671no—
1004#3296—671no—
1005#3294—671no—
1006#3280—671no—
1007D4×D8—671no—
1008#3274—671no—
1009#3273—671no—
1010#3268—671no—
1011#3264—671no—
1012#3264—671no—
1013#3264—671no—
1014#3224—671no—
1015#3220—671no—
1016#3199—671no—
1017#3198—671no—
1018#3194—671no—
1019#3191—671no—
1020#3122—671no—
1021#3118—671no—
1022#3012—671no—
1023#3008—671no—
1024#3003—671no—
1025C2×#447—671no—
1026#2976—671no—
1027C67#6160911yescharacteristic, complemented, Sylow
1028C2×H(5,𝔽2)—671no—
1029C23×D4—671no—
1030C2×AGL(1,ℤ/8)—671no—
1031C2×AGL(1,ℤ/8)—671no—
1032C2×AGL(1,ℤ/8)—671no—
1033C2×AGL(1,ℤ/8)—671no—
1034C2×#135—671no—
1035C22×D8—671no—
1036C22×D8—671no—
1037C22×D8—671no—
1038#562—1341no—
1039#560—1341no—
1040#555—671no—
1041#553—671no—
1042#552C2×D6711yescharacteristic, complemented
1043#551—1341no—
1044#550—671no—
1045#547—671no—
1046#546—671no—
1047#546—671no—
1048#546—671no—
1049#546—671no—
1050#546—671no—
1051#546—671no—
1052#546—1341no—
1053#546—1341no—
1054#546—1341no—
1055D42—671no—
1056D42—671no—
1057D42—671no—
1058D42—671no—
1059D42—1341no—
1060D42—1341no—
1061D42C2×D6711yescharacteristic
1062#542—671no—
1063#540—671no—
1064#540—1341no—
1065#538—1341no—
1066#537—671no—
1067#535—671no—
1068#535—671no—
1069#535—671no—
1070#535—1341no—
1071#534—1341no—
1072#534—1341no—
1073#534—1341no—
1074#525—671no—
1075#525—671no—
1076#525—671no—
1077C2×#121—671no—
1078C2×#120—1341no—
1079C2×#120—1341no—
1080#518—671no—
1081#496—671no—
1082#496—671no—
1083#495—671no—
1084#493—671no—
1085#490C2×D6711yescharacteristic, complemented
1086#489—671no—
1087#488—671no—
1088#486—671no—
1089#485—671no—
1090#485—671no—
1091#483—671no—
1092#482—671no—
1093#482—671no—
1094#482—671no—
1095#482—671no—
1096#482—671no—
1097#482C2×D6711yescharacteristic, complemented
1098#481—671no—
1099#480—671no—
1100#480C2×D6711yescharacteristic, complemented
1101#478—671no—
1102#478C2×D6711yescharacteristic, complemented
1103#476—671no—
1104#474—671no—
1105#469—671no—
1106#469—671no—
1107#469—671no—
1108#469—671no—
1109#469—671no—
1110#468—671no—
1111#468—671no—
1112#468C2×D6711yescharacteristic, complemented
1113#467—671no—
1114#466—671no—
1115#466—671no—
1116#466—671no—
1117#466—671no—
1118#465—671no—
1119#465—671no—
1120#465C2×D6711yescharacteristic, complemented
1121#464—671no—
1122#463—671no—
1123#463—671no—
1124#463—671no—
1125#463—671no—
1126#463—671no—
1127#460C2×D6711yescharacteristic, complemented
1128#459—671no—
1129#459—671no—
1130#459—671no—
1131#459—671no—
1132#459—671no—
1133#452—671no—
1134#452—671no—
1135#452—671no—
1136#450—671no—
1137#450—671no—
1138#450—671no—
1139#450—671no—
1140#450C2×D6711yescharacteristic, complemented
1141#450C2×D6711yescharacteristic, complemented
1142#449—671no—
1143#449—671no—
1144#449—671no—
1145#449—671no—
1146#449—671no—
1147#449—671no—
1148#449—671no—
1149#449—671no—
1150#449—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#447—671no—
1160#447—671no—
1161#447—671no—
1162#447—671no—
1163#447—671no—
1164#447—671no—
1165#447—671no—
1166#447—671no—
1167#447—671no—
1168#447—671no—
1169#442—671no—
1170#442—671no—
1171#442—671no—
1172#440C2×D6711yescharacteristic, complemented
1173C4×SD16—671no—
1174C4×D8—671no—
1175C4×D8—671no—
1176C4×D8—671no—
1177#436—671no—
1178#436—671no—
1179#435—671no—
1180#435—671no—
1181#435—671no—
1182#435C2×D6711yescharacteristic, complemented
1183C8×D4—671no—
1184C8×D4—671no—
1185#433—671no—
1186#433—671no—
1187#418—671no—
1188#418—671no—
1189#418C2×D6711yescharacteristic, complemented
1190#417—671no—
1191#416—671no—
1192C2×#102—671no—
1193C2×#102—671no—
1194C2×#102C2×D6711yescharacteristic, complemented
1195#408—671no—
1196#408—671no—
1197#407—671no—
1198C2×C22⋊C8—671no—
1199C25—1341no—
1200H(5,𝔽2)—2682no—
1201H(5,𝔽2)—2682no—
1202C2×#41—671no—
1203C2×#41—671no—
1204C2×#41—671no—
1205C2×#41—671no—
1206C2×#41—671no—
1207C2×#41—671no—
1208C2×#41—1341no—
1209C2×#41—1341no—
1210C22×D4—21no—
1211C22×D4—2682no—
1212C22×D4—2682no—
1213C22×D4—671no—
1214C22×D4—671no—
1215C22×D4—671no—
1216C22×D4—671no—
1217C22×D4—671no—
1218C22×D4—671no—
1219C22×D4—671no—
1220C22×D4—671no—
1221C22×D4—1341no—
1222C22×D4—1341no—
1223C22×D4—1341no—
1224C22×D4—1341no—
1225C22×D4—1341no—
1226C22×D4—1341no—
1227C22×D4—1341no—
1228C22×D4—1341no—
1229C22×D4—1341no—
1230C22×D4—1341no—
1231C22×D4—1341no—
1232C22×D4C22×D6711yescharacteristic
1233C22×D4C22×D6711yescharacteristic
1234C23×C4—671no—
1235AGL(1,ℤ/8)—2682no—
1236AGL(1,ℤ/8)—2682no—
1237AGL(1,ℤ/8)—2682no—
1238AGL(1,ℤ/8)—2682no—
1239#135—2682no—
1240C2×Q16—671no—
1241C2×SD16—671no—
1242C2×SD16—671no—
1243C2×SD16—671no—
1244C2×SD16—671no—
1245C2×SD16—671no—
1246C2×SD16C22×D6711yescharacteristic
1247C2×SD16C22×D6711yescharacteristic
1248C2×SD16C22×D6711yescharacteristic, complemented
1249C2×D8—2682no—
1250C2×D8—2682no—
1251C2×D8—2682no—
1252C2×D8—671no—
1253C2×D8—671no—
1254C2×D8—671no—
1255C2×D8—671no—
1256C2×D8—671no—
1257C2×D8—671no—
1258C2×D8—671no—
1259C2×D8—671no—
1260C2×D8—671no—
1261C2×D8—671no—
1262C2×D8—671no—
1263C2×D8—671no—
1264C2×D8—671no—
1265C2×D8—671no—
1266C2×D8—671no—
1267C2×M16—671no—
1268C2×M16—671no—
1269C2×M16—671no—
1270C2×M16C22×D6711yescharacteristic, complemented
1271C22×C8—671no—
1272C22×C8—671no—
1273C22×C8—671no—
1274C22×C8C22×D6711yescharacteristic
1275C4⋊Q8—671no—
1276#127—671no—
1277#127—671no—
1278#127—1341no—
1279#127—1341no—
1280#127—1341no—
1281#127C22×D6711yescharacteristic
1282#126—21no—
1283#126—1341no—
1284#126—1341no—
1285#125—21no—
1286#125C22×D6711yescharacteristic, complemented
1287#124—671no—
1288#124—671no—
1289#124—671no—
1290#124—1341no—
1291#124—1341no—
1292#124—1341no—
1293#124—1341no—
1294#124—1341no—
1295#123—21no—
1296#123—671no—
1297#123—671no—
1298#123—1341no—
1299#123—1341no—
1300#123—1341no—
1301#123—1341no—
1302#123—1341no—
1303#123—1341no—
1304#123—1341no—
1305#123—1341no—
1306#123—1341no—
1307#123—1341no—
1308#123—1341no—
1309#123—1341no—
1310#123—1341no—
1311#123—1341no—
1312C22⋊Q8—671no—
1313C22⋊Q8—671no—
1314C22⋊Q8—671no—
1315C22⋊Q8—671no—
1316C22⋊Q8—671no—
1317C22⋊Q8—1341no—
1318C22⋊Q8—1341no—
1319C22⋊Q8—1341no—
1320C22⋊Q8C22×D6711yescharacteristic
1321C22⋊Q8C22×D6711yescharacteristic, complemented
1322#121—21no—
1323#121—671no—
1324#121—671no—
1325#121—671no—
1326#121—671no—
1327#121—671no—
1328#121—671no—
1329#121—671no—
1330#121—671no—
1331#121—671no—
1332#121—671no—
1333#121—671no—
1334#121—671no—
1335#121—671no—
1336#121—671no—
1337#121—671no—
1338#121—1341no—
1339#121—1341no—
1340#121—1341no—
1341#121—1341no—
1342#121—1341no—
1343#121—1341no—
1344#121—1341no—
1345#121—1341no—
1346#121—1341no—
1347#121—1341no—
1348#121—1341no—
1349#121—1341no—
1350#121—1341no—
1351#121—1341no—
1352#121—1341no—
1353#121—1341no—
1354#121—1341no—
1355#121—1341no—
1356#121—1341no—
1357#121—1341no—
1358#121—1341no—
1359#121—1341no—
1360#121—1341no—
1361#121C22×D6711yescharacteristic
1362#121C22×D6711yescharacteristic
1363#120—21no—
1364#120—21no—
1365#120—671no—
1366#120—671no—
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—
1380#120—1341no—
1381#120—1341no—
1382#120—1341no—
1383#120—1341no—
1384#120—1341no—
1385#120—1341no—
1386#120—1341no—
1387#120—1341no—
1388#120—1341no—
1389C4×Q8C22×D6711yescharacteristic, complemented
1390C4×D4—671no—
1391C4×D4—671no—
1392C4×D4—671no—
1393C4×D4—671no—
1394C4×D4—671no—
1395C4×D4—671no—
1396C4×D4—671no—
1397C4×D4—671no—
1398C4×D4—671no—
1399C4×D4—1341no—
1400C4×D4—1341no—
1401C4×D4—1341no—
1402C4×D4—1341no—
1403C4×D4—1341no—
1404C4×D4—1341no—
1405C4×D4—1341no—
1406C4×D4—1341no—
1407C4×D4C22×D6711yescharacteristic
1408C4×D4C22×D6711yescharacteristic
1409#117—21no—
1410#117—671no—
1411#117—671no—
1412#117—671no—
1413#117—1341no—
1414#117C22×D6711yescharacteristic, complemented
1415C2×C4⋊C4—671no—
1416C2×C4⋊C4C22×D6711yescharacteristic
1417C2×C22⋊C4—1341no—
1418C2×C22⋊C4—1341no—
1419C2×C22⋊C4—1341no—
1420C2×C22⋊C4—1341no—
1421C2×C22⋊C4—1341no—
1422C2×C22⋊C4—1341no—
1423C2×C22⋊C4—1341no—
1424C2×C22⋊C4—1341no—
1425C2×C22⋊C4—1341no—
1426#107—671no—
1427#107—671no—
1428#107C22×D6711yescharacteristic, complemented
1429#107C22×D6711yescharacteristic, complemented
1430#106—671no—
1431#106—671no—
1432#106—671no—
1433#106C22×D6711yescharacteristic, complemented
1434C4⋊C8—671no—
1435C4⋊C8—671no—
1436C4⋊C8—671no—
1437C4⋊C8C22×D6711yescharacteristic, complemented
1438#103—671no—
1439#103—671no—
1440#103—671no—
1441#103—671no—
1442#103—671no—
1443#103C22×D6711yescharacteristic, complemented
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#102—671no—
1456#102—671no—
1457#102—671no—
1458#102—671no—
1459#102—671no—
1460#102—671no—
1461#102C22×D6711yescharacteristic
1462#102C22×D6711yescharacteristic
1463#102C22×D6711yescharacteristic
1464#102C22×D6711yescharacteristic
1465#102C22×D6711yescharacteristic
1466#102C22×D6711yescharacteristic
1467#102C22×D6711yescharacteristic, complemented
1468#102C22×D6711yescharacteristic, complemented
1469#102C22×D6711yescharacteristic, complemented
1470C22⋊C8—671no—
1471C22⋊C8—671no—
1472C22⋊C8—671no—
1473C22⋊C8—671no—
1474C22⋊C8—671no—
1475C22⋊C8—671no—
1476C22⋊C8—671no—
1477C22⋊C8—671no—
1478C22⋊C8—671no—
1479C22⋊C8—671no—
1480C22⋊C8C22×D6711yescharacteristic
1481C22⋊C8C22×D6711yescharacteristic, complemented
1482#97—671no—
1483#97C22×D6711yescharacteristic, complemented
1484C4×C8—671no—
1485C4×C8—671no—
1486C24—21no—
1487C24—21no—
1488C24—2684no—
1489C24—5362no—
1490C24—5362no—
1491C24—671no—
1492C24—1341no—
1493C24—1341no—
1494C24—1341no—
1495C24—1341no—
1496C24—1341no—
1497C24—1341no—
1498C24—1341no—
1499C24—1341no—
1500#41—2681no—
1501#41—2681no—
1502#41—2681no—
1503#41—2684no—
1504#41—2681no—
1505#41—2681no—
1506#41—2681no—
1507#41—2681no—
1508#41—2681no—
1509#41—2681no—
1510#41—2681no—
1511#41—5362no—
1512#41—1342no—
1513#41—1342no—
1514C2×Q8—671no—
1515C2×Q8—671no—
1516C2×Q8—1341no—
1517C2×Q8C23×D6711yescharacteristic
1518C2×D4—22no—
1519C2×D4—22no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—41no—
1527C2×D4—41no—
1528C2×D4—82no—
1529C2×D4—2681no—
1530C2×D4—2681no—
1531C2×D4—2681no—
1532C2×D4—2681no—
1533C2×D4—2681no—
1534C2×D4—2684no—
1535C2×D4—2684no—
1536C2×D4—2684no—
1537C2×D4—2684no—
1538C2×D4—2684no—
1539C2×D4—2684no—
1540C2×D4—2681no—
1541C2×D4—2681no—
1542C2×D4—2681no—
1543C2×D4—2681no—
1544C2×D4—2681no—
1545C2×D4—5362no—
1546C2×D4—5362no—
1547C2×D4—5362no—
1548C2×D4—5362no—
1549C2×D4—5362no—
1550C2×D4—671no—
1551C2×D4—671no—
1552C2×D4—671no—
1553C2×D4—671no—
1554C2×D4—671no—
1555C2×D4—671no—
1556C2×D4—671no—
1557C2×D4—671no—
1558C2×D4—671no—
1559C2×D4—671no—
1560C2×D4—671no—
1561C2×D4—1342no—
1562C2×D4—1341no—
1563C2×D4—1341no—
1564C2×D4—1341no—
1565C2×D4—1341no—
1566C2×D4—1341no—
1567C2×D4—1341no—
1568C2×D4—1341no—
1569C2×D4—1341no—
1570C2×D4—1341no—
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—1342no—
1580C2×D4—1342no—
1581C2×D4—1342no—
1582C2×D4—1341no—
1583C2×D4—1341no—
1584C2×D4—1341no—
1585C2×D4—1341no—
1586C2×D4—1341no—
1587C2×D4—1342no—
1588C2×D4—1341no—
1589C2×D4—1341no—
1590C2×D4—1341no—
1591C2×D4—1342no—
1592C2×D4—1341no—
1593C2×D4—1341no—
1594C2×D4—1341no—
1595C2×D4—1341no—
1596C2×D4—1341no—
1597C2×D4D4×D6711yescharacteristic
1598C2×D4C23×D6711yescharacteristic
1599C2×D4C23×D6711yescharacteristic
1600C2×D4C23×D6711yescharacteristic
1601C22×C4—21no—
1602C22×C4—21no—
1603C22×C4—2681no—
1604C22×C4—2681no—
1605C22×C4—671no—
1606C22×C4—671no—
1607C22×C4—671no—
1608C22×C4—671no—
1609C22×C4—671no—
1610C22×C4—671no—
1611C22×C4—1341no—
1612C22×C4—1341no—
1613C22×C4—1341no—
1614C22×C4—1341no—
1615C22×C4—1341no—
1616C22×C4—1341no—
1617C22×C4—1341no—
1618C22×C4—1341no—
1619C22×C4—1341no—
1620C22×C4—1341no—
1621C22×C4—1341no—
1622C22×C4—1341no—
1623C22×C4C23×D6711yescharacteristic
1624C22×C4C23×D6711yescharacteristic
1625Q16—2681no—
1626SD16—22no—
1627SD16—41no—
1628SD16—41no—
1629SD16—2681no—
1630SD16—2681no—
1631SD16—2681no—
1632SD16—2681no—
1633SD16—1342no—
1634D8—2681no—
1635D8—2681no—
1636D8—2681no—
1637D8—2681no—
1638D8—2681no—
1639D8—2681no—
1640D8—2681no—
1641D8—2681no—
1642D8—2681no—
1643D8—1342no—
1644D8—1342no—
1645D8—1342no—
1646D8—1342no—
1647D8—1342no—
1648D8—1342no—
1649M16—41no—
1650M16—2681no—
1651M16—2681no—
1652M16—2681no—
1653C2×C8—41no—
1654C2×C8—2681no—
1655C2×C8—2681no—
1656C2×C8—2681no—
1657C2×C8—671no—
1658C2×C8—671no—
1659C2×C8—671no—
1660C2×C8—671no—
1661C2×C8C23×D6711yescharacteristic
1662C2×C8C23×D6711yescharacteristic
1663C2×C8C23×D6711yescharacteristic
1664C2×C8C23×D6711yescharacteristic
1665C4⋊C4—21no—
1666C4⋊C4—21no—
1667C4⋊C4—21no—
1668C4⋊C4—21no—
1669C4⋊C4—21no—
1670C4⋊C4—21no—
1671C4⋊C4—671no—
1672C4⋊C4—671no—
1673C4⋊C4—671no—
1674C4⋊C4—671no—
1675C4⋊C4—671no—
1676C4⋊C4—671no—
1677C4⋊C4—671no—
1678C4⋊C4—1341no—
1679C4⋊C4—1341no—
1680C4⋊C4—1341no—
1681C4⋊C4—1341no—
1682C4⋊C4—1341no—
1683C4⋊C4D4×D6711yescharacteristic
1684C4⋊C4C23×D6711yescharacteristic
1685C4⋊C4C23×D6711yescharacteristic
1686C4⋊C4C23×D6711yescharacteristic
1687C4⋊C4C23×D6711yescharacteristic
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—671no—
1695C22⋊C4—671no—
1696C22⋊C4—671no—
1697C22⋊C4—671no—
1698C22⋊C4—671no—
1699C22⋊C4—671no—
1700C22⋊C4—671no—
1701C22⋊C4—671no—
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—
1726C22⋊C4—1341no—
1727C22⋊C4—1341no—
1728C22⋊C4—1341no—
1729C22⋊C4—1341no—
1730C22⋊C4—1341no—
1731C22⋊C4—1341no—
1732C22⋊C4D4×D6711yescharacteristic
1733C22⋊C4D4×D6711yescharacteristic
1734C42—21no—
1735C42—21no—
1736C42—671no—
1737C42—1341no—
1738C42—1341no—
1739C42C23×D6711yescharacteristic
1740C23—21no—
1741C23—21no—
1742C23—21no—
1743C23—42no—
1744C23—42no—
1745C23—42no—
1746C23—81no—
1747C23—81no—
1748C23—81no—
1749C23—2681no—
1750C23—2681no—
1751C23—2682no—
1752C23—2682no—
1753C23—2682no—
1754C23—2682no—
1755C23—2682no—
1756C23—2682no—
1757C23—2682no—
1758C23—2682no—
1759C23—2682no—
1760C23—5361no—
1761C23—5361no—
1762C23—5361no—
1763C23—5361no—
1764C23—5361no—
1765C23—5361no—
1766C23—5361no—
1767C23—5361no—
1768C23—5361no—
1769C23—5361no—
1770C23—5361no—
1771C23—5361no—
1772C23—5361no—
1773C23—5361no—
1774C23—53616no—
1775C23—671no—
1776C23—671no—
1777C23—671no—
1778C23—1344no—
1779C23—1341no—
1780C23—1341no—
1781C23—1341no—
1782C23—1341no—
1783C23—1342no—
1784C23—1341no—
1785C23C2×D4×D6711yescharacteristic
1786C23C2×D4×D6711yescharacteristic
1787Q8—21no—
1788Q8—21no—
1789Q8—2681no—
1790Q8—5361no—
1791Q8—1341no—
1792Q8—1341no—
1793D4—22no—
1794D4—21no—
1795D4—21no—
1796D4—21no—
1797D4—21no—
1798D4—21no—
1799D4—42no—
1800D4—42no—
1801D4—42no—
1802D4—81no—
1803D4—81no—
1804D4—81no—
1805D4—2682no—
1806D4—2681no—
1807D4—2681no—
1808D4—2682no—
1809D4—2682no—
1810D4—2682no—
1811D4—2682no—
1812D4—2682no—
1813D4—2682no—
1814D4—2681no—
1815D4—2681no—
1816D4—2681no—
1817D4—2682no—
1818D4—2682no—
1819D4—2682no—
1820D4—5361no—
1821D4—5361no—
1822D4—5361no—
1823D4—5361no—
1824D4—5361no—
1825D4—5361no—
1826D4—5361no—
1827D4—5361no—
1828D4—5361no—
1829D4—5361no—
1830D4—5361no—
1831D4—5361no—
1832D4—5361no—
1833D4—5361no—
1834D4—5361no—
1835D4—5361no—
1836D4—5361no—
1837D4—5361no—
1838D4—5361no—
1839D4—672no—
1840D4—1344no—
1841D4—1342no—
1842D4—1341no—
1843D4—1341no—
1844D4—1341no—
1845D4—1341no—
1846D4—1341no—
1847D4—1341no—
1848D4—1341no—
1849D4—1341no—
1850D4—1341no—
1851D4#1452408912yes—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—21no—
1860C2×C4—21no—
1861C2×C4—42no—
1862C2×C4—81no—
1863C2×C4—2682no—
1864C2×C4—2681no—
1865C2×C4—2681no—
1866C2×C4—2682no—
1867C2×C4—2682no—
1868C2×C4—2681no—
1869C2×C4—5361no—
1870C2×C4—5361no—
1871C2×C4—5361no—
1872C2×C4—5361no—
1873C2×C4—5361no—
1874C2×C4—5361no—
1875C2×C4—5361no—
1876C2×C4—5361no—
1877C2×C4—5361no—
1878C2×C4—671no—
1879C2×C4—671no—
1880C2×C4—671no—
1881C2×C4—671no—
1882C2×C4—671no—
1883C2×C4—1341no—
1884C2×C4—1341no—
1885C2×C4—1341no—
1886C2×C4—1341no—
1887C2×C4—1341no—
1888C2×C4—1341no—
1889C2×C4—1341no—
1890C2×C4—1341no—
1891C2×C4—1341no—
1892C2×C4C2×D4×D6711yescharacteristic
1893C2×C4C2×D4×D6711yescharacteristic
1894C2×C4C2×D4×D6711yescharacteristic
1895C2×C4C2×D4×D6711yescharacteristic
1896C2×C4C24×D6711yescharacteristic
1897C8—21no—
1898C8—21no—
1899C8—21no—
1900C8—21no—
1901C8—1341no—
1902C8—1341no—
1903C8—1341no—
1904C8—1341no—
1905C22—21no—
1906C22—21no—
1907C22—21no—
1908C22—22no—
1909C22—21no—
1910C22—21no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—84no—
1920C22—2684no—
1921C22—2681no—
1922C22—2681no—
1923C22—2681no—
1924C22—2681no—
1925C22—2681no—
1926C22—2681no—
1927C22—2681no—
1928C22—2681no—
1929C22—2681no—
1930C22—2681no—
1931C22—2681no—
1932C22—2681no—
1933C22—2681no—
1934C22—2681no—
1935C22—162no—
1936C22—5364no—
1937C22—5364no—
1938C22—5364no—
1939C22—5364no—
1940C22—5364no—
1941C22—10722no—
1942C22—10722no—
1943C22—10722no—
1944C22—1341no—
1945C22—1341no—
1946C22—1342no—
1947C22—1341no—
1948C22—1341no—
1949C22—1341no—
1950C22—1341no—
1951C22—1341no—
1952C22—1341no—
1953C22—1341no—
1954C22#1686420012yes—
1955C22C22×D4×D6711yescharacteristic
1956C4—21no—
1957C4—21no—
1958C4—21no—
1959C4—21no—
1960C4—41no—
1961C4—41no—
1962C4—41no—
1963C4—41no—
1964C4—41no—
1965C4—2681no—
1966C4—2681no—
1967C4—2681no—
1968C4—1341no—
1969C4—1341no—
1970C4—1341no—
1971C4—1341no—
1972C4—1341no—
1973C4H(5,𝔽2)×D6711yescharacteristic
1974C4C2×#1452408911yescharacteristic
1975C2—22no—
1976C2—41no—
1977C2—42no—
1978C2—81no—
1979C2—81no—
1980C2—2681no—
1981C2—2681no—
1982C2—2682no—
1983C2—2681no—
1984C2—5361no—
1985C2—5361no—
1986C2—5361no—
1987C2—5361no—
1988C2#2257383911yescharacteristic
1989C2C2×#1686420011yescharacteristic
1990C2#2257498711yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3310C2
socleC22×C67C23×D4
hypercenter#3310D67
hypocenterC67#61609
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #22574519C2semidirect
2. #22573837C2semidirect
3. #22572447C2semidirect
4. #22572407C2semidirect
5. #22572363C2semidirect
6. #22572349C2semidirect
7. #22572166C2semidirect
8. #22572038C2semidirect
9. #22572020C2semidirect
10. #22571887C2semidirect
11. D4×#11761613C2semidirect
12. #22571824C2semidirect
13. #22571817C2semidirect
14. #22571751C2semidirect
15. #22571694C2semidirect
16. #22571693C2semidirect
17. #22571686C2semidirect
18. #22571308C2semidirect
19. #22571260C2semidirect
20. #22571073C2semidirect
21. #22571062C2semidirect
22. #22571022C2semidirect
23. #22570998C2semidirect
24. #22570454C2semidirect
25. #22570397C2semidirect
26. #22569514C2semidirect
27. #22569478C2semidirect
28. #22569437C2semidirect
29. C2×#16863531C2semidirect
30. #22569258C2semidirect
31. C67×#3310C2semidirect
32. C2×#14524088C22semidirect
33. C22×D4×D67C22semidirect
34. C2×#14524071C22semidirect
35. C2×#14524070C22semidirect
36. C2×#14524070C22semidirect
37. C2×#14524070C22semidirect
38. C2×#14524064C22semidirect
39. C22×D536C22semidirect
40. C22×#11761613C22semidirect
41. C22×#11761613C22semidirect
44. #16864109C22semidirect
45. #16864099C22semidirect
47. #16864068C22semidirect
48. #16864047C22semidirect
49. #16864043C22semidirect
51. #16864041C22semidirect
52. #16864040C22semidirect
54. #16864037C22semidirect
55. #16864037C22semidirect
58. D4×D268C22semidirect
59. #16864031C22semidirect
60. #16864030C22semidirect
62. D4×C22⋊D67C22semidirect
64. #16864018C22semidirect
66. #16864002C22semidirect
68. #16863976C22semidirect
70. #16863965C22semidirect
71. #16863962C22semidirect
72. #16863959C22semidirect
76. #16863909C22semidirect
77. #16863906C22semidirect
79. C2×#14524018C22semidirect
82. #16863868C22semidirect
83. #16863785C22semidirect
84. #16863782C22semidirect
85. #16863777C22semidirect
86. #16863772C22semidirect
87. #16863754C22semidirect
88. #16863753C22semidirect
89. #16863741C22semidirect
90. #16863740C22semidirect
91. #16863735C22semidirect
92. #16863726C22semidirect
93. #16863723C22semidirect
94. #16863723C22semidirect
95. #16863722C22semidirect
96. #16863720C22semidirect
97. #16863719C22semidirect
98. #16863713C22semidirect
99. #16863711C22semidirect
100. #16863693C22semidirect
101. #16863684C22semidirect
102. #16863675C22semidirect
103. #16863650C22semidirect
104. #16863649C22semidirect
105. #16863648C22semidirect
106. #16863648C22semidirect
107. #16863648C22semidirect
108. #16863643C22semidirect
109. #16863643C22semidirect
110. #16863635C22semidirect
111. #16863633C22semidirect
112. #16863631C22semidirect
113. #16863630C22semidirect
114. #16863630C22semidirect
115. #16863627C22semidirect
116. #16863625C22semidirect
117. #16863618C22semidirect
118. #16863614C22semidirect
119. #16863613C22semidirect
120. #16863612C22semidirect
121. #16863610C22semidirect
122. #16863610C22semidirect
123. #16863592C22semidirect
124. #16863591C22semidirect
125. #16863590C22semidirect
126. #16863590C22semidirect
127. #16863588C22semidirect
128. #16863561C22semidirect
129. #16863556C22semidirect
130. #16863555C22semidirect
131. #16863549C22semidirect
132. #16863546C22semidirect
133. #16863545C22semidirect
134. #16863545C22semidirect
135. #16863544C22semidirect
136. #16863543C22semidirect
137. #16863542C22semidirect
138. #16863542C22semidirect
139. #16863542C22semidirect
140. #16863542C22semidirect
141. #16863542C22semidirect
142. #16863540C22semidirect
143. #16863540C22semidirect
144. #16863532C22semidirect
145. #16863532C22semidirect
147. #16863531C22semidirect
148. #16863531C22semidirect
149. #16863531C22semidirect
150. #16863531C22semidirect
151. #16863531C22semidirect
152. #16863531C22semidirect
153. #16863531C22semidirect
154. #16863531C22semidirect
155. #16863531C22semidirect
156. #16863531C22semidirect
157. #16863531C22semidirect
158. #16863530C22semidirect
159. #16863530C22semidirect
160. #16863529C22semidirect
161. #16863529C22semidirect
162. #16863509C22semidirect
163. #16863507C22semidirect
164. #16863505C22semidirect
165. C4×#11761615C22semidirect
166. #16863478C22semidirect
167. C4×#11761613C22semidirect
168. #16863476C22semidirect
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. #552×C67C22semidirect
190. #490×C67C22semidirect
191. #482×C67C22semidirect
192. #480×C67C22semidirect
193. #478×C67C22semidirect
194. #468×C67C22semidirect
195. #465×C67C22semidirect
196. #460×C67C22semidirect
197. #450×C67C22semidirect
198. #450×C67C22semidirect
199. #440×C67C22semidirect
200. #435×C67C22semidirect
201. #418×C67C22semidirect
202. C2×#102×C67C22semidirect
207. C2×#11761629C23semidirect
217. C22×D268C23semidirect
241. C2×#11761618C23semidirect
242. C2×#11761617C23semidirect
243. C2×#11761617C23semidirect
244. C2×#11761617C23semidirect
262. C2×#11761613C23semidirect
263. C2×#11761613C23semidirect
264. C2×#11761613C23semidirect
267. C2×#11761611C23semidirect
269. C22×C67⋊C8C23semidirect
270. C2×C8×D67C23semidirect
271. #14524042C23semidirect
274. #14524040C23semidirect
279. #14524032C23semidirect
328. #14524018C23semidirect
329. #14524018C23semidirect
333. #14524017C23semidirect
376. C4×D268C23semidirect
382. #14524005C23semidirect
383. #14524005C23semidirect
394. C4⋊C4×D67C23semidirect
404. #14523976C23semidirect
405. #14523976C23semidirect
406. #14523975C23semidirect
407. #14523974C23semidirect
408. #14523974C23semidirect
409. C4⋊(C67⋊C8)C23semidirect
410. Dic67⋊C8C23semidirect
411. Dic67⋊C8C23semidirect
412. #14523968C23semidirect
413. #14523967C23semidirect
414. #14523966C23semidirect
415. #14523966C23semidirect
416. #14523966C23semidirect
419. #14523965C23semidirect
420. #14523965C23semidirect
421. #14523965C23semidirect
424. #14523964C23semidirect
431. #14523963C23semidirect
432. #14523963C23semidirect
433. #14523963C23semidirect
435. C22⋊(C67⋊C8)C23semidirect
442. (C2×D67)⋊C8C23semidirect
443. (C2×D67)⋊C8C23semidirect
444. #14523953C23semidirect
445. C4×C67⋊C8C23semidirect
446. C8×Dic67C23semidirect
452. C2×SD16×C67C23semidirect
453. C2×M16×C67C23semidirect
458. #125×C67C23semidirect
461. C22⋊Q8×C67C23semidirect
467. C4×Q8×C67C23semidirect
471. #117×C67C23semidirect
473. #107×C67C23semidirect
474. #107×C67C23semidirect
475. #106×C67C23semidirect
476. C4⋊C8×C67C23semidirect
477. #103×C67C23semidirect
484. #102×C67C23semidirect
485. #102×C67C23semidirect
486. #102×C67C23semidirect
488. C22⋊C8×C67C23semidirect
489. #97×C67C23semidirect
1002. #3310D67semidirect
1027. C67#61609semidirect
1042. #552C2×D67semidirect
1085. #490C2×D67semidirect
1097. #482C2×D67semidirect
1100. #480C2×D67semidirect
1102. #478C2×D67semidirect
1112. #468C2×D67semidirect
1120. #465C2×D67semidirect
1127. #460C2×D67semidirect
1140. #450C2×D67semidirect
1141. #450C2×D67semidirect
1172. #440C2×D67semidirect
1182. #435C2×D67semidirect
1189. #418C2×D67semidirect
1194. C2×#102C2×D67semidirect
1248. C2×SD16C22×D67semidirect
1270. C2×M16C22×D67semidirect
1286. #125C22×D67semidirect
1321. C22⋊Q8C22×D67semidirect
1389. C4×Q8C22×D67semidirect
1414. #117C22×D67semidirect
1428. #107C22×D67semidirect
1429. #107C22×D67semidirect
1433. #106C22×D67semidirect
1437. C4⋊C8C22×D67semidirect
1443. #103C22×D67semidirect
1467. #102C22×D67semidirect
1468. #102C22×D67semidirect
1469. #102C22×D67semidirect
1481. C22⋊C8C22×D67semidirect
1483. #97C22×D67semidirect

Maximal subgroups

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

subgroupindex
#225745192
#225738372
#225724472
#225724072
#225723632
#225723492
#225721662
#225720382
#225720202
#225718872
D4×#117616132
#225718242
#225718172
#225717512
#225716942
#225716932
#225716862
#225713082
#225712602
#225710732
#225710622
#225710222
#225709982
#225704542
#225703972
#225695142
#225694782
#225694372
C2×#168635312
#225692582
C67×#33102
#6160967