Finite Group Databasebeta

← #31741905

Subgroups — #31741905

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#22574437C211yesmaximal, characteristic, complemented
2#22573839C211yesmaximal, characteristic, complemented
3#22572288C211yesmaximal, characteristic, complemented
4#22572171C211yesmaximal, characteristic, complemented
5#22572169C211yesmaximal, characteristic, complemented
6#22572029C211yesmaximal, characteristic, complemented
7#22572027C211yesmaximal, characteristic, complemented
8#22572020C211yesmaximal, characteristic, complemented
9#22572019C211yesmaximal, characteristic, complemented
10#22571914C211yesmaximal, characteristic, complemented
11#22571911C211yesmaximal, characteristic, complemented
12#22571891C211yesmaximal, characteristic, complemented
13#22571890C211yesmaximal, characteristic, complemented
14#22571711C211yesmaximal, characteristic, complemented
15#22571706C211yesmaximal, characteristic, complemented
16#22571694C211yesmaximal, characteristic, complemented
17#22571693C211yesmaximal, characteristic, complemented
18#22571310C211yesmaximal, characteristic, complemented
19#22571304C211yesmaximal, characteristic, complemented
20#22571068C211yesmaximal, characteristic, complemented
21#22571062C211yesmaximal, characteristic, complemented
22#22570991C211yesmaximal, characteristic, complemented
23#22570979C211yesmaximal, characteristic, complemented
24#22570400C211yesmaximal, characteristic, complemented
25#22570397C211yesmaximal, characteristic, complemented
26#22569517C211yesmaximal, characteristic, complemented
27#22569515C211yesmaximal, characteristic, complemented
28#450×D67C211yesmaximal, characteristic, complemented
29C2×#16863531C211yesmaximal, characteristic, complemented
30#22569260C211yesmaximal, characteristic, complemented
31C67×#3314C211yesmaximal, characteristic, complemented
32C2×#14524089C2211yescharacteristic, complemented
33C22×D4×D67C2211yescharacteristic
34C2×#14524071C2211yescharacteristic, complemented
35C2×#14524070C2211yescharacteristic, complemented
36C2×#14524066C2211yescharacteristic, complemented
37C2×#14524063C2211yescharacteristic, complemented
38C2×SD16×D67C2211yescharacteristic, complemented
39C2×SD16×D67C2211yescharacteristic, complemented
40C22×D536C2211yescharacteristic, complemented
41C22×#11761613C2211yescharacteristic, complemented
42#16864144—21no—
43#16864142—21no—
44#16864101C2211yescharacteristic, complemented
45#16864058C2211yescharacteristic, complemented
46#16864056C2211yescharacteristic, complemented
47#16864049C2211yescharacteristic, complemented
48#16864047C2211yescharacteristic, complemented
49#16864042—21no—
50#16864042C2211yescharacteristic, complemented
51#16864039C2211yescharacteristic, complemented
52#16864038—21no—
53#16864037—21no—
54#16864037C2211yescharacteristic
55#16864037C2211yescharacteristic, complemented
56#16864036—21no—
57#16864034C2211yescharacteristic, complemented
58D4×D268C2211yescharacteristic
59D4×D268C2211yescharacteristic, complemented
60#16864030—21no—
61#16864030C2211yescharacteristic, complemented
62D4×C22⋊D67C2211yescharacteristic
63#16864028—21no—
64#16864021—21no—
65#16864020C2211yescharacteristic, complemented
66#16864018C2211yescharacteristic, complemented
67#16863994—21no—
68#16863979—21no—
69#16863977C2211yescharacteristic, complemented
70#16863976—21no—
71#16863976C2211yescharacteristic, complemented
72#16863964C2211yescharacteristic, complemented
73#16863962C2211yescharacteristic, complemented
74#16863957—21no—
75#16863954—21no—
76#16863909C2211yescharacteristic
77#16863905C2211yescharacteristic
78C22⋊Q8×D67C2211yescharacteristic, complemented
79C2×#14524018C2211yescharacteristic, complemented
80C2×#14524013—21no—
81#120×D67—21no—
82#16863868C2211yescharacteristic, complemented
83#16863785C2211yescharacteristic, complemented
84#16863782C2211yescharacteristic, complemented
85#16863781C2211yescharacteristic, complemented
86#16863778C2211yescharacteristic, complemented
87#16863757C2211yescharacteristic, complemented
88#16863744C2211yescharacteristic, complemented
89#16863741C2211yescharacteristic, complemented
90#16863739C2211yescharacteristic, complemented
91#16863735C2211yescharacteristic, complemented
92#16863725C2211yescharacteristic, complemented
93#16863723C2211yescharacteristic, complemented
94#16863723C2211yescharacteristic, complemented
95#16863714C2211yescharacteristic, complemented
96#16863714C2211yescharacteristic, complemented
97#16863713C2211yescharacteristic, complemented
98#16863711C2211yescharacteristic, complemented
99#16863711C2211yescharacteristic, complemented
100#16863684C2211yescharacteristic, complemented
101#16863683C2211yescharacteristic, complemented
102#16863675C2211yescharacteristic, complemented
103#16863649C2211yescharacteristic, complemented
104#16863648C2211yescharacteristic, complemented
105#16863643C2211yescharacteristic, complemented
106#16863635C2211yescharacteristic, complemented
107#16863633C2211yescharacteristic, complemented
108#16863633C2211yescharacteristic, complemented
109#16863633C2211yescharacteristic, complemented
110#16863630C2211yescharacteristic, complemented
111#16863628C2211yescharacteristic, complemented
112#16863628C2211yescharacteristic, complemented
113#16863627C2211yescharacteristic, complemented
114#16863627C2211yescharacteristic, complemented
115#16863625C2211yescharacteristic, complemented
116#16863624C2211yescharacteristic, complemented
117#16863621C2211yescharacteristic, complemented
118#16863614C2211yescharacteristic, complemented
119#16863614C2211yescharacteristic, complemented
120#16863613C2211yescharacteristic, complemented
121#16863612C2211yescharacteristic, complemented
122#16863611C2211yescharacteristic, complemented
123#16863608C2211yescharacteristic, complemented
124#16863596C2211yescharacteristic, complemented
125#16863595C2211yescharacteristic, complemented
126#16863592C2211yescharacteristic, complemented
127#16863590C2211yescharacteristic, complemented
128#16863561C2211yescharacteristic, complemented
129#16863561C2211yescharacteristic, complemented
130#16863557C2211yescharacteristic, complemented
131#16863550C2211yescharacteristic, complemented
132#16863549C2211yescharacteristic, complemented
133#16863548C2211yescharacteristic, complemented
134#16863548C2211yescharacteristic, complemented
135#16863548C2211yescharacteristic, complemented
136#16863547C2211yescharacteristic, complemented
137#16863546C2211yescharacteristic, complemented
138#16863546C2211yescharacteristic, complemented
139#16863546C2211yescharacteristic, complemented
140#16863545C2211yescharacteristic, complemented
141#16863545C2211yescharacteristic, complemented
142#16863544C2211yescharacteristic, complemented
143#16863544C2211yescharacteristic, complemented
144#16863544C2211yescharacteristic, complemented
145#16863544C2211yescharacteristic, complemented
146#16863543C2211yescharacteristic, complemented
147#16863541C2211yescharacteristic, complemented
148#16863540C2211yescharacteristic, complemented
149#16863539C2211yescharacteristic, complemented
150#16863536C2211yescharacteristic, complemented
151#16863532C2211yescharacteristic, complemented
152#16863532C2211yescharacteristic, complemented
153#16863531C2211yescharacteristic
154#16863531C2211yescharacteristic
155#16863531C2211yescharacteristic, complemented
156#16863531C2211yescharacteristic, complemented
157#16863531C2211yescharacteristic, complemented
158#16863531C2211yescharacteristic, complemented
159#16863531C2211yescharacteristic, complemented
160#16863531C2211yescharacteristic, complemented
161#16863531C2211yescharacteristic, complemented
162#16863509C2211yescharacteristic, complemented
163#16863505C2211yescharacteristic, complemented
164#16863495C2211yescharacteristic, complemented
165#16863487C2211yescharacteristic, complemented
166C4×#11761615C2211yescharacteristic, complemented
167#16863478C2211yescharacteristic, complemented
168C4×#11761613C2211yescharacteristic, complemented
169#16863469C2211yescharacteristic, complemented
170#16863465C2211yescharacteristic, complemented
171#16863464C2211yescharacteristic, complemented
172D4×C67⋊C8C2211yescharacteristic, complemented
173#16863461C2211yescharacteristic, complemented
174C8×C22⋊D67C2211yescharacteristic, complemented
175(C22⋊D67)⋊C8C2211yescharacteristic, complemented
176#16863458C2211yescharacteristic, complemented
177#16863456C2211yescharacteristic, complemented
178#16863396C2211yescharacteristic, complemented
179C2×#14523963C2211yescharacteristic, complemented
180C2×#14523963C2211yescharacteristic, complemented
181#102×D67C2211yescharacteristic, complemented
182#102×D67C2211yescharacteristic, complemented
183#102×D67C2211yescharacteristic, complemented
184#16863364C2211yescharacteristic, complemented
185#16863361C2211yescharacteristic, complemented
186C2×(C2×D67)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D67C2211yescharacteristic, complemented
188#554×C67C2211yescharacteristic, complemented
189#546×C67C2211yescharacteristic
190#489×C67C2211yescharacteristic, complemented
191#484×C67C2211yescharacteristic, complemented
192#480×C67C2211yescharacteristic, complemented
193#474×C67C2211yescharacteristic, complemented
194#468×C67C2211yescharacteristic, complemented
195#467×C67C2211yescharacteristic, complemented
196#464×C67C2211yescharacteristic, complemented
197#452×C67C2211yescharacteristic, complemented
198#450×C67C2211yescharacteristic, complemented
199#440×C67C2211yescharacteristic, complemented
200#435×C67C2211yescharacteristic, complemented
201#417×C67C2211yescharacteristic, complemented
202C2×#102×C67C2211yescharacteristic, complemented
203C24×D67—21no—
204#14524089—42no—
205#14524089—42no—
206C2×#11761629—21no—
207C2×#11761629C2311yescharacteristic
208C2×#11761629C2311yescharacteristic
209C2×#11761629C2311yescharacteristic, complemented
210C2×#11761628—21no—
211C2×#11761628—21no—
212C2×#11761628C2311yescharacteristic
213C2×#11761628C2311yescharacteristic, complemented
214C2×Q8×D67C2311yescharacteristic
215C22×D268—21no—
216C22×D268—21no—
217C22×D268—21no—
218C22×D268C2311yescharacteristic
219C22×D268C2311yescharacteristic
220C22×D268C2311yescharacteristic
221C22×C22⋊D67—21no—
222C22×C22⋊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—21no—
229C2×D4×D67—42no—
230C2×D4×D67—42no—
231C2×D4×D67C2311yescharacteristic
232C2×D4×D67C2311yescharacteristic
233C2×D4×D67C2311yescharacteristic
234C2×D4×D67C2311yescharacteristic
235C2×D4×D67C2311yescharacteristic
236C22×C4×D67C2311yescharacteristic
237#14524071—42no—
238#14524070—42no—
239#14524066—42no—
240#14524063—42no—
241C2×#11761618C2311yescharacteristic, complemented
242C2×#11761617C2311yescharacteristic
243C2×#11761617C2311yescharacteristic
244C2×#11761617C2311yescharacteristic, complemented
245C2×#11761616C2311yescharacteristic
246C2×#11761616C2311yescharacteristic
247C2×#11761615C2311yescharacteristic
248C2×#11761615C2311yescharacteristic
249C2×#11761615C2311yescharacteristic, complemented
250C2×#11761615C2311yescharacteristic, complemented
251C2×#11761615C2311yescharacteristic, complemented
252SD16×D67—42no—
253SD16×D67—42no—
254C2×D536—42no—
255C2×D536C2311yescharacteristic
256C2×D536C2311yescharacteristic
257C2×D536C2311yescharacteristic
258C2×D536C2311yescharacteristic
259C2×D536C2311yescharacteristic, complemented
260C2×D536C2311yescharacteristic, complemented
261C2×#11761613—42no—
262C2×#11761613C2311yescharacteristic
263C2×#11761613C2311yescharacteristic
264C2×#11761613C2311yescharacteristic
265C2×#11761613C2311yescharacteristic
266C2×#11761611C2311yescharacteristic, complemented
267C22×C67⋊C8C2311yescharacteristic
268C22×C67⋊C8C2311yescharacteristic, complemented
269C2×C8×D67C2311yescharacteristic
270C2×C8×D67C2311yescharacteristic
271C2×C8×D67C2311yescharacteristic, complemented
272#14524042C2311yescharacteristic, complemented
273#14524040C2311yescharacteristic
274#14524039—21no—
275#14524039C2311yescharacteristic
276#14524038—21no—
277#14524037—21no—
278#14524033—21no—
279#14524032—21no—
280#14524032C2311yescharacteristic
281#14524032C2311yescharacteristic, complemented
282#14524031—21no—
283#14524031—21no—
284#14524031C2311yescharacteristic, complemented
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#14524026—21no—
298#14524026—21no—
299#14524025—21no—
300#14524025D411yescharacteristic
301#14524023—21no—
302#14524023—21no—
303#14524023C2311yescharacteristic
304#14524023C2311yescharacteristic, complemented
305#14524022—21no—
306#14524022C2311yescharacteristic
307#14524021—21no—
308#14524021—21no—
309#14524021—21no—
310#14524021—21no—
311#14524021—21no—
312#14524021—21no—
313#14524021D411yescharacteristic
314#14524020—21no—
315#14524020D411yescharacteristic
316#14524019—21no—
317#14524019—21no—
318#14524019C2311yescharacteristic
319#14524019C2311yescharacteristic
320#14524018—21no—
321#14524018—21no—
322#14524018—21no—
323#14524018—21no—
324#14524018—21no—
325#14524018—21no—
326#14524018—21no—
327#14524018—21no—
328#14524018C2311yescharacteristic
329#14524018C2311yescharacteristic
330#14524018C2311yescharacteristic
331#14524018C2311yescharacteristic
332#14524018C2311yescharacteristic
333#14524018C2311yescharacteristic
334#14524018C2311yescharacteristic, complemented
335#14524017—21no—
336#14524017—21no—
337#14524017—21no—
338#14524017C2311yescharacteristic
339#14524017C2311yescharacteristic
340#14524017C2311yescharacteristic, complemented
341#14524016—21no—
342#14524016—21no—
343#14524016—21no—
344#14524016—21no—
345#14524016—21no—
346#14524016—21no—
347#14524016—21no—
348#14524016—21no—
349#14524016D411yescharacteristic
350#14524015—21no—
351#14524015—21no—
352#14524015D411yescharacteristic
353#14524014C2311yescharacteristic
354#14524013—21no—
355#14524013—21no—
356#14524013—21no—
357#14524013—21no—
358#14524013—21no—
359#14524013—21no—
360#14524013—21no—
361#14524013—21no—
362#14524013—21no—
363#14524013—21no—
364#14524013—21no—
365#14524013—21no—
366#14524013D411yescharacteristic
367#14524012—21no—
368#14524011—21no—
369#14524011—21no—
370#14524011—21no—
371#14524011—21no—
372#14524011—21no—
373#14524011D411yescharacteristic
374#14524008C2311yescharacteristic, complemented
375C4×D268—21no—
376C4×D268C2311yescharacteristic
377C4×D268C2311yescharacteristic
378C4×D268C2311yescharacteristic, complemented
379D4×Dic67C2311yescharacteristic
380#14524005—21no—
381#14524005—21no—
382#14524005C2311yescharacteristic
383#14524005C2311yescharacteristic, complemented
384C4×C22⋊D67—21no—
385C4×C22⋊D67—21no—
386C4×C22⋊D67C2311yescharacteristic
387C4×C22⋊D67C2311yescharacteristic
388(C22⋊D67)⋊C4—21no—
389(C22⋊D67)⋊C4—21no—
390#14524001C2311yescharacteristic
391#14524000C2311yescharacteristic
392C4⋊C4×D67—21no—
393C4⋊C4×D67C2311yescharacteristic
394C4⋊C4×D67C2311yescharacteristic, complemented
395C2×(C2×D67)⋊C4—21no—
396C2×(C2×D67)⋊C4—21no—
397C2×(C2×D67)⋊C4—21no—
398C22⋊C4×D67—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#14523975C2311yescharacteristic, complemented
406#14523974C2311yescharacteristic, 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#14523967C2311yescharacteristic, complemented
415#14523966C2311yescharacteristic, complemented
416#14523965C2311yescharacteristic
417#14523965C2311yescharacteristic
418#14523965C2311yescharacteristic, complemented
419#14523965C2311yescharacteristic, complemented
420#14523965C2311yescharacteristic, complemented
421#14523964C2311yescharacteristic
422#14523964C2311yescharacteristic
423#14523963C2311yescharacteristic
424#14523963C2311yescharacteristic
425#14523963C2311yescharacteristic
426#14523963C2311yescharacteristic
427#14523963C2311yescharacteristic
428#14523963C2311yescharacteristic
429#14523963C2311yescharacteristic, complemented
430#14523963C2311yescharacteristic, complemented
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
447C2×#41×C67C2311yescharacteristic
448C22×D4×C67C2311yescharacteristic
449C2×Q16×C67C2311yescharacteristic, complemented
450C2×SD16×C67C2311yescharacteristic
451C2×SD16×C67C2311yescharacteristic
452C2×M16×C67C2311yescharacteristic, complemented
453C22×C8×C67C2311yescharacteristic
454C4⋊Q8×C67C2311yescharacteristic, complemented
455#125×C67—21no—
456#124×C67C2311yescharacteristic
457#123×C67—21no—
458C22⋊Q8×C67—21no—
459C22⋊Q8×C67—21no—
460C22⋊Q8×C67C2311yescharacteristic
461C22⋊Q8×C67C2311yescharacteristic
462C22⋊Q8×C67C2311yescharacteristic, complemented
463#121×C67—21no—
464#121×C67C2311yescharacteristic
465#120×C67—21no—
466C4×Q8×C67C2311yescharacteristic, complemented
467C4×D4×C67—21no—
468C4×D4×C67C2311yescharacteristic
469C4×D4×C67C2311yescharacteristic
470C2×C4⋊C4×C67C2311yescharacteristic
471C2×C4⋊C4×C67C2311yescharacteristic, complemented
472C2×C22⋊C4×C67—21no—
473#107×C67C2311yescharacteristic, complemented
474#107×C67C2311yescharacteristic, complemented
475#107×C67C2311yescharacteristic, complemented
476C4⋊C8×C67C2311yescharacteristic, complemented
477#103×C67C2311yescharacteristic, complemented
478#103×C67C2311yescharacteristic, complemented
479#103×C67C2311yescharacteristic, complemented
480#103×C67C2311yescharacteristic, complemented
481#102×C67C2311yescharacteristic
482#102×C67C2311yescharacteristic
483#102×C67C2311yescharacteristic
484#102×C67C2311yescharacteristic
485#102×C67C2311yescharacteristic
486#102×C67C2311yescharacteristic
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—22no—
503#11761629—41no—
504#11761629—41no—
505#11761629—41no—
506#11761629—41no—
507#11761629—41no—
508#11761629—82no—
509#11761628—41no—
510#11761628—41no—
511#11761628—41no—
512#11761628—41no—
513#11761628—44no—
514#11761628—82no—
515C2×Dic134—21no—
516C2×Dic134—21no—
517C2×Dic134C2×D411yescharacteristic
518C2×Dic134C2411yescharacteristic
519Q8×D67—41no—
520Q8×D67—41no—
521C2×D268—22no—
522C2×D268—22no—
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—21no—
536C2×D268—21no—
537C2×D268—21no—
538C2×D268—41no—
539C2×D268—41no—
540C2×D268—41no—
541C2×D268—41no—
542C2×D268—44no—
543C2×D268—82no—
544C2×D268—82no—
545C2×D268C2×D411yescharacteristic
546C2×D268C2×D411yescharacteristic
547C2×D268C2411yescharacteristic
548C2×D268C2411yescharacteristic
549C2×D268C2411yescharacteristic
550C2×D268C2411yescharacteristic
551C2×D268C2411yescharacteristic
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—21no—
564C2×C22⋊D67—44no—
565C2×C22⋊D67—82no—
566C2×C22⋊D67C2×D411yescharacteristic
567C2×C22⋊D67C2×D411yescharacteristic
568C2×C22⋊D67C2×D411yescharacteristic
569C2×C22⋊D67C2×D411yescharacteristic
570D4×D67—22no—
571D4×D67—22no—
572D4×D67—22no—
573D4×D67—22no—
574D4×D67—22no—
575D4×D67—41no—
576D4×D67—41no—
577D4×D67—41no—
578D4×D67—41no—
579D4×D67—41no—
580D4×D67—44no—
581D4×D67—44no—
582D4×D67—44no—
583D4×D67—44no—
584D4×D67—82no—
585D4×D67—82no—
586C22×Dic67—21no—
587C22×Dic67C2×D411yescharacteristic
588C2×C4×D67—21no—
589C2×C4×D67—21no—
590C2×C4×D67—21no—
591C2×C4×D67—21no—
592C2×C4×D67—21no—
593C2×C4×D67—21no—
594C2×C4×D67—21no—
595C2×C4×D67—21no—
596C2×C4×D67—21no—
597C2×C4×D67—21no—
598C2×C4×D67—21no—
599C2×C4×D67—41no—
600C2×C4×D67—41no—
601C2×C4×D67C2×D411yescharacteristic
602C2×C4×D67C2×D411yescharacteristic
603C2×C4×D67C2411yescharacteristic
604C2×C4×D67C2411yescharacteristic
605C2×C4×D67C2411yescharacteristic
606#11761618—41no—
607#11761617—22no—
608#11761617—41no—
609#11761617—41no—
610#11761616—22no—
611#11761616—41no—
612#11761615—22no—
613#11761615—41no—
614#11761615—41no—
615#11761615—41no—
616#11761615—41no—
617D536—22no—
618D536—22no—
619D536—41no—
620D536—41no—
621D536—41no—
622D536—41no—
623#11761613—22no—
624#11761613—22no—
625#11761613—41no—
626#11761613—41no—
627#11761611—41no—
628C2×C67⋊C8—41no—
629C2×C67⋊C8—41no—
630C2×C67⋊C8C2411yescharacteristic
631C2×C67⋊C8C2411yescharacteristic
632C2×C67⋊C8C2411yescharacteristic
633C2×C67⋊C8C2411yescharacteristic
634C8×D67—41no—
635C8×D67—41no—
636C8×D67—41no—
637C4⋊Dic67—21no—
638C4⋊Dic67—21no—
639C4⋊Dic67C2×D411yescharacteristic
640C4⋊Dic67C2411yescharacteristic
641C4⋊Dic67C2411yescharacteristic
642Dic67⋊C4—21no—
643Dic67⋊C4—21no—
644Dic67⋊C4—21no—
645Dic67⋊C4—21no—
646Dic67⋊C4—21no—
647Dic67⋊C4—21no—
648Dic67⋊C4—21no—
649Dic67⋊C4C2×D411yescharacteristic
650Dic67⋊C4C2×D411yescharacteristic
651Dic67⋊C4C2×D411yescharacteristic
652Dic67⋊C4C2×D411yescharacteristic
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)⋊C4—21no—
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
688(C2×D67)⋊C4C2×D411yescharacteristic
689C4×Dic67—21no—
690C4×Dic67—21no—
691C4×Dic67C2411yescharacteristic
692C24×C67—21no—
693#41×C67—22no—
694#41×C67—41no—
695C2×Q8×C67—21no—
696C2×Q8×C67C2411yescharacteristic
697C2×Q8×C67C2411yescharacteristic
698C2×D4×C67—22no—
699C2×D4×C67—21no—
700C2×D4×C67—21no—
701C2×D4×C67—21no—
702C2×D4×C67—41no—
703C2×D4×C67C2×D411yescharacteristic
704C2×D4×C67C2411yescharacteristic
705C2×D4×C67C2411yescharacteristic
706C22×C4×C67—21no—
707C22×C4×C67—21no—
708C22×C4×C67—21no—
709C22×C4×C67—21no—
710C22×C4×C67C2411yescharacteristic
711C22×C4×C67C2411yescharacteristic
712Q16×C67—41no—
713SD16×C67—22no—
714SD16×C67—41no—
715M16×C67—41no—
716C2×C8×C67—41no—
717C2×C8×C67C2411yescharacteristic
718C2×C8×C67C2411yescharacteristic
719C2×C8×C67C2411yescharacteristic
720C2×C8×C67C2411yescharacteristic
721C4⋊C4×C67—21no—
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×C67—21no—
740C22⋊C4×C67C2×D411yescharacteristic
741C22⋊C4×C67C2×D411yescharacteristic
742C42×C67—21no—
743C42×C67C2411yescharacteristic
744C23×C67—21no—
745C23×C67—21no—
746C23×C67—42no—
747C23×C67—42no—
748C23×C67—81no—
749C23×C67C22×D411yescharacteristic
750C23×C67C22×D411yescharacteristic
751C22×D67—22no—
752C22×D67—21no—
753C22×D67—24no—
754C22×D67—22no—
755C22×D67—21no—
756C22×D67—21no—
757C22×D67—21no—
758C22×D67—21no—
759C22×D67—41no—
760C22×D67—42no—
761C22×D67—42no—
762C22×D67—42no—
763C22×D67—42no—
764C22×D67—42no—
765C22×D67—42no—
766C22×D67—42no—
767C22×D67—42no—
768C22×D67—42no—
769C22×D67—42no—
770C22×D67—81no—
771C22×D67—81no—
772C22×D67—81no—
773C22×D67—81no—
774C22×D67—81no—
775C22×D67—81no—
776C22×D67—81no—
777C22×D67—81no—
778C22×D67—81no—
779C22×D67—81no—
780C22×D67—81no—
781C22×D67—81no—
782C22×D67—81no—
783C22×D67—816no—
784C22×D67C22×D411yescharacteristic
785C22×D67C22×D411yescharacteristic
786C22×D67C22×D411yescharacteristic
787Q8×C67—21no—
788Q8×C67—21no—
789Q8×C67—21no—
790Q8×C67—21no—
791Q8×C67—81no—
792D4×C67—22no—
793D4×C67—21no—
794D4×C67—21no—
795D4×C67—21no—
796D4×C67—42no—
797D4×C67—42no—
798D4×C67—81no—
799D4×C67H(5,𝔽2)12yes—
800C2×C4×C67—21no—
801C2×C4×C67—21no—
802C2×C4×C67—21no—
803C2×C4×C67—21no—
804C2×C4×C67—21no—
805C2×C4×C67—21no—
806C2×C4×C67—21no—
807C2×C4×C67—21no—
808C2×C4×C67—21no—
809C2×C4×C67—21no—
810C2×C4×C67—42no—
811C2×C4×C67—81no—
812C2×C4×C67—81no—
813C2×C4×C67—81no—
814C2×C4×C67C22×D411yescharacteristic
815C2×C4×C67C22×D411yescharacteristic
816C2×C4×C67C22×D411yescharacteristic
817C2×C4×C67C22×D411yescharacteristic
818C2×C4×C67C2511yescharacteristic
819C22⋊D67—24no—
820C22⋊D67—22no—
821C22⋊D67—22no—
822C22⋊D67—41no—
823C22⋊D67—41no—
824C22⋊D67—42no—
825C22⋊D67—42no—
826C22⋊D67—42no—
827C22⋊D67—42no—
828C22⋊D67—42no—
829C22⋊D67—81no—
830C22⋊D67—81no—
831C22⋊D67—81no—
832C22⋊D67—81no—
833C22⋊D67—81no—
834C22⋊D67—81no—
835C2×Dic67—21no—
836C2×Dic67—21no—
837C2×Dic67—21no—
838C2×Dic67—41no—
839C2×Dic67—81no—
840C2×Dic67C22×D411yescharacteristic
841C2×Dic67C22×D411yescharacteristic
842C2×Dic67C22×D411yescharacteristic
843C2×Dic67C22×D411yescharacteristic
844C2×Dic67C22×D411yescharacteristic
845D268—22no—
846D268—21no—
847D268—21no—
848D268—21no—
849D268—21no—
850D268—21no—
851D268—21no—
852D268—21no—
853D268—21no—
854D268—21no—
855D268—41no—
856D268—42no—
857D268—42no—
858D268—42no—
859D268—42no—
860D268—42no—
861D268—42no—
862D268—42no—
863D268—81no—
864D268—81no—
865D268—81no—
866D268—81no—
867D268—81no—
868D268—81no—
869D268—81no—
870D268—81no—
871D268H(5,𝔽2)12yes—
872C4×D67—21no—
873C4×D67—21no—
874C4×D67—21no—
875C4×D67—21no—
876C4×D67—21no—
877C4×D67—21no—
878C4×D67—41no—
879C4×D67—41no—
880C4×D67—42no—
881C4×D67—42no—
882C4×D67—42no—
883C4×D67—81no—
884C4×D67—81no—
885C4×D67—81no—
886C4×D67—81no—
887C4×D67—81no—
888C4×D67—81no—
889C4×D67—81no—
890C4×D67—81no—
891Dic134—21no—
892Dic134—21no—
893Dic134—41no—
894Dic134—81no—
895Dic134—81no—
896C8×C67—21no—
897C8×C67—21no—
898C8×C67—21no—
899C8×C67—21no—
900C67⋊C8—21no—
901C67⋊C8—21no—
902C67⋊C8—21no—
903C67⋊C8—21no—
904C22×C67—21no—
905C22×C67—21no—
906C22×C67—22no—
907C22×C67—21no—
908C22×C67—21no—
909C22×C67—21no—
910C22×C67—41no—
911C22×C67—41no—
912C22×C67—41no—
913C22×C67—41no—
914C22×C67—41no—
915C22×C67—84no—
916C22×C67#57712yes—
917C22×C67C23×D411yescharacteristic
918C2×D67—21no—
919C2×D67—21no—
920C2×D67—21no—
921C2×D67—21no—
922C2×D67—22no—
923C2×D67—21no—
924C2×D67—21no—
925C2×D67—21no—
926C2×D67—21no—
927C2×D67—44no—
928C2×D67—41no—
929C2×D67—41no—
930C2×D67—41no—
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—41no—
942C2×D67—84no—
943C2×D67—84no—
944C2×D67—84no—
945C2×D67—84no—
946C2×D67—84no—
947C2×D67—162no—
948C2×D67—162no—
949C2×D67—162no—
950C2×D67#57612yes—
951C4×C67—21no—
952C4×C67—21no—
953C4×C67—21no—
954C4×C67—21no—
955C4×C67—41no—
956C4×C67—41no—
957C4×C67—41no—
958C4×C67—41no—
959C4×C67—41no—
960C4×C67—41no—
961C4×C67C2×H(5,𝔽2)11yescharacteristic
962C4×C67C2×H(5,𝔽2)11yescharacteristic
963Dic67—21no—
964Dic67—21no—
965Dic67—21no—
966Dic67—21no—
967Dic67—21no—
968Dic67—41no—
969Dic67—41no—
970Dic67—41no—
971#61629—671nomaximal, Sylow
972C2×C67—22no—
973C2×C67—42no—
974C2×C67—41no—
975C2×C67—81no—
976C2×C67#348411yescharacteristic
977C2×C67C2×#57611yescharacteristic
978C2×C67C2×#57711yescharacteristic
979D67—22no—
980D67—41no—
981D67—41no—
982D67—42no—
983D67—81no—
984D67—81no—
985D67—81no—
986D67—81no—
987#3536—671no—
988#3484—671no—
989#3314—671no—
990#3314D6711yescharacteristic, complemented
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#3198—671no—
1009#3190—671no—
1010#3188—671no—
1011#3118—671no—
1012#3118—671no—
1013#3012—671no—
1014#3012—671no—
1015C2×#450—671no—
1016C2×#447—671no—
1017#2977—671no—
1018C67#6162911yescharacteristic, complemented, Sylow
1019C2×H(5,𝔽2)—671no—
1020C23×D4—671no—
1021C2×AGL(1,ℤ/8)—671no—
1022C2×AGL(1,ℤ/8)—671no—
1023C2×#135—671no—
1024C2×#135—671no—
1025C22×SD16—671no—
1026C22×SD16—671no—
1027C22×D8—671no—
1028C22×D8—671no—
1029#562—1341no—
1030#562—1341no—
1031#554—671no—
1032#554C2×D6711yescharacteristic, complemented
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—1341no—
1043#546—1341no—
1044#546—1341no—
1045#546—1341no—
1046#546C2×D6711yescharacteristic
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—671no—
1060#537—1341no—
1061#535—671no—
1062#535—671no—
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#489C2×D6711yescharacteristic, complemented
1078#486—671no—
1079#486—671no—
1080#485—671no—
1081#485—671no—
1082#484C2×D6711yescharacteristic, complemented
1083#483—671no—
1084#482—671no—
1085#482—671no—
1086#481—671no—
1087#481—671no—
1088#481—671no—
1089#480—671no—
1090#480—671no—
1091#480C2×D6711yescharacteristic, complemented
1092#476—671no—
1093#476—671no—
1094#474—671no—
1095#474C2×D6711yescharacteristic, complemented
1096#469—671no—
1097#469—671no—
1098#468—671no—
1099#468C2×D6711yescharacteristic, complemented
1100#467—671no—
1101#467C2×D6711yescharacteristic, complemented
1102#466—671no—
1103#466—671no—
1104#466—671no—
1105#466—671no—
1106#465—671no—
1107#465—671no—
1108#465—671no—
1109#465—671no—
1110#465—671no—
1111#465—671no—
1112#464—671no—
1113#464C2×D6711yescharacteristic, complemented
1114#463—671no—
1115#463—671no—
1116#463—671no—
1117#463—671no—
1118#463—671no—
1119#463—671no—
1120#460—671no—
1121#460—671no—
1122#459—671no—
1123#459—671no—
1124#452—671no—
1125#452—671no—
1126#452—671no—
1127#452C2×D6711yescharacteristic, complemented
1128#451—671no—
1129#450—671no—
1130#450—671no—
1131#450—671no—
1132#450—671no—
1133#450—671no—
1134#450—671no—
1135#450—671no—
1136#450—671no—
1137#450—671no—
1138#450—671no—
1139#450C2×D6711yescharacteristic, complemented
1140#449—671no—
1141#449—671no—
1142#449—671no—
1143#449—671no—
1144#449—671no—
1145#449—671no—
1146#449—671no—
1147#449—671no—
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#447—671no—
1160#442—671no—
1161#442—671no—
1162#440—671no—
1163#440C2×D6711yescharacteristic, complemented
1164C4×SD16—671no—
1165C4×SD16—671no—
1166C4×D8—671no—
1167C4×D8—671no—
1168#435—671no—
1169#435—671no—
1170#435—671no—
1171#435C2×D6711yescharacteristic, complemented
1172C8×D4—671no—
1173C8×D4—671no—
1174C8×D4—671no—
1175C8×D4—671no—
1176#433—671no—
1177#433—671no—
1178#417—671no—
1179#417C2×D6711yescharacteristic, complemented
1180C2×#102—671no—
1181C2×#102—671no—
1182C2×#102—671no—
1183C2×#102—671no—
1184C2×#102—671no—
1185C2×#102C2×D6711yescharacteristic, complemented
1186#408—671no—
1187#408—671no—
1188C2×C22⋊C8—671no—
1189C2×C22⋊C8—671no—
1190C25—1341no—
1191H(5,𝔽2)—2682no—
1192H(5,𝔽2)—2682no—
1193C2×#41—671no—
1194C2×#41—671no—
1195C2×#41—671no—
1196C2×#41—671no—
1197C2×#41—671no—
1198C2×#41—1341no—
1199C2×#41—1341no—
1200C2×#41—1341no—
1201C2×#41C22×D6711yescharacteristic
1202C22×Q8—671no—
1203C22×D4—2682no—
1204C22×D4—2682no—
1205C22×D4—671no—
1206C22×D4—671no—
1207C22×D4—671no—
1208C22×D4—671no—
1209C22×D4—671no—
1210C22×D4—671no—
1211C22×D4—671no—
1212C22×D4—671no—
1213C22×D4—1341no—
1214C22×D4—1341no—
1215C22×D4—1341no—
1216C22×D4—1341no—
1217C22×D4—1341no—
1218C22×D4—1341no—
1219C22×D4—1341no—
1220C22×D4—1341no—
1221C22×D4—1341no—
1222C22×D4—1341no—
1223C22×D4—1341no—
1224C22×D4C22×D6711yescharacteristic
1225C23×C4—671no—
1226AGL(1,ℤ/8)—2682no—
1227AGL(1,ℤ/8)—2682no—
1228#135—2682no—
1229#135—2682no—
1230C2×Q16—671no—
1231C2×Q16C22×D6711yescharacteristic, complemented
1232C2×SD16—2682no—
1233C2×SD16—2682no—
1234C2×SD16—671no—
1235C2×SD16—671no—
1236C2×SD16—671no—
1237C2×SD16—671no—
1238C2×SD16—671no—
1239C2×SD16—671no—
1240C2×SD16—671no—
1241C2×SD16—671no—
1242C2×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×D8—671no—
1257C2×D8—671no—
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
1266C4⋊Q8—671no—
1267C4⋊Q8C22×D6711yescharacteristic, complemented
1268#127—671no—
1269#127—671no—
1270#127—1341no—
1271#126—1341no—
1272#126—1341no—
1273#125—21no—
1274#125—1341no—
1275#124—671no—
1276#124—671no—
1277#124—671no—
1278#124—1341no—
1279#124—1341no—
1280#124—1341no—
1281#124—1341no—
1282#124—1341no—
1283#124C22×D6711yescharacteristic
1284#123—21no—
1285#123—671no—
1286#123—671no—
1287#123—1341no—
1288#123—1341no—
1289#123—1341no—
1290#123—1341no—
1291#123—1341no—
1292#123—1341no—
1293#123—1341no—
1294#123—1341no—
1295#123—1341no—
1296#123—1341no—
1297#123—1341no—
1298#123—1341no—
1299C22⋊Q8—21no—
1300C22⋊Q8—21no—
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⋊Q8C22×D6711yescharacteristic
1321C22⋊Q8C22×D6711yescharacteristic
1322C22⋊Q8C22×D6711yescharacteristic, complemented
1323#121—21no—
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—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#121—1341no—
1354#121—1341no—
1355#121—1341no—
1356#121—1341no—
1357#121—1341no—
1358#121C22×D6711yescharacteristic
1359#120—21no—
1360#120—671no—
1361#120—671no—
1362#120—1341no—
1363#120—1341no—
1364#120—1341no—
1365#120—1341no—
1366#120—1341no—
1367#120—1341no—
1368#120—1341no—
1369#120—1341no—
1370#120—1341no—
1371#120—1341no—
1372#120—1341no—
1373#120—1341no—
1374#120—1341no—
1375#120—1341no—
1376#120—1341no—
1377#120—1341no—
1378#120—1341no—
1379#120—1341no—
1380C4×Q8—671no—
1381C4×Q8C22×D6711yescharacteristic, complemented
1382C4×D4—21no—
1383C4×D4—671no—
1384C4×D4—671no—
1385C4×D4—671no—
1386C4×D4—671no—
1387C4×D4—671no—
1388C4×D4—671no—
1389C4×D4—671no—
1390C4×D4—671no—
1391C4×D4—1341no—
1392C4×D4—1341no—
1393C4×D4—1341no—
1394C4×D4—1341no—
1395C4×D4—1341no—
1396C4×D4—1341no—
1397C4×D4—1341no—
1398C4×D4C22×D6711yescharacteristic
1399C4×D4C22×D6711yescharacteristic
1400#117—671no—
1401#117—671no—
1402C2×C4⋊C4—671no—
1403C2×C4⋊C4—671no—
1404C2×C4⋊C4—1341no—
1405C2×C4⋊C4C22×D6711yescharacteristic
1406C2×C4⋊C4C22×D6711yescharacteristic, complemented
1407C2×C22⋊C4—21no—
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#107C22×D6711yescharacteristic, complemented
1419#107C22×D6711yescharacteristic, complemented
1420#107C22×D6711yescharacteristic, complemented
1421#106—671no—
1422#106—671no—
1423#106—671no—
1424#106—671no—
1425C4⋊C8—671no—
1426C4⋊C8—671no—
1427C4⋊C8—671no—
1428C4⋊C8C22×D6711yescharacteristic, complemented
1429#103—671no—
1430#103—671no—
1431#103—671no—
1432#103—671no—
1433#103C22×D6711yescharacteristic, complemented
1434#103C22×D6711yescharacteristic, complemented
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
1460#102C22×D6711yescharacteristic
1461C22⋊C8—671no—
1462C22⋊C8—671no—
1463C22⋊C8—671no—
1464C22⋊C8—671no—
1465C22⋊C8—671no—
1466C22⋊C8—671no—
1467C22⋊C8—671no—
1468C22⋊C8—671no—
1469C22⋊C8—671no—
1470C22⋊C8—671no—
1471C22⋊C8C22×D6711yescharacteristic
1472C22⋊C8C22×D6711yescharacteristic, complemented
1473#97—671no—
1474#97C22×D6711yescharacteristic, complemented
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—22no—
1491#41—41no—
1492#41—2681no—
1493#41—2681no—
1494#41—2681no—
1495#41—2681no—
1496#41—2684no—
1497#41—2681no—
1498#41—2681no—
1499#41—2681no—
1500#41—2681no—
1501#41—2681no—
1502#41—5362no—
1503#41—5362no—
1504#41—1342no—
1505C2×Q8—21no—
1506C2×Q8—2681no—
1507C2×Q8—2681no—
1508C2×Q8—671no—
1509C2×Q8—671no—
1510C2×Q8—1341no—
1511C2×Q8—1341no—
1512C2×Q8C23×D6711yescharacteristic
1513C2×Q8C23×D6711yescharacteristic
1514C2×D4—22no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—41no—
1519C2×D4—2681no—
1520C2×D4—2681no—
1521C2×D4—2681no—
1522C2×D4—2681no—
1523C2×D4—2684no—
1524C2×D4—2684no—
1525C2×D4—2684no—
1526C2×D4—2684no—
1527C2×D4—2684no—
1528C2×D4—2684no—
1529C2×D4—2681no—
1530C2×D4—2681no—
1531C2×D4—2681no—
1532C2×D4—2681no—
1533C2×D4—2681no—
1534C2×D4—5362no—
1535C2×D4—5362no—
1536C2×D4—5362no—
1537C2×D4—5362no—
1538C2×D4—5362no—
1539C2×D4—671no—
1540C2×D4—671no—
1541C2×D4—671no—
1542C2×D4—671no—
1543C2×D4—671no—
1544C2×D4—671no—
1545C2×D4—671no—
1546C2×D4—671no—
1547C2×D4—671no—
1548C2×D4—671no—
1549C2×D4—671no—
1550C2×D4—1341no—
1551C2×D4—1341no—
1552C2×D4—1341no—
1553C2×D4—1341no—
1554C2×D4—1341no—
1555C2×D4—1342no—
1556C2×D4—1342no—
1557C2×D4—1341no—
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—1341no—
1568C2×D4—1341no—
1569C2×D4—1342no—
1570C2×D4—1342no—
1571C2×D4—1341no—
1572C2×D4—1342no—
1573C2×D4—1342no—
1574C2×D4—1341no—
1575C2×D4—1341no—
1576C2×D4—1341no—
1577C2×D4—1341no—
1578C2×D4—1342no—
1579C2×D4—1341no—
1580C2×D4—1341no—
1581C2×D4—1341no—
1582C2×D4—1341no—
1583C2×D4—1341no—
1584C2×D4D4×D6711yescharacteristic
1585C2×D4C23×D6711yescharacteristic
1586C2×D4C23×D6711yescharacteristic
1587C22×C4—21no—
1588C22×C4—21no—
1589C22×C4—21no—
1590C22×C4—21no—
1591C22×C4—2681no—
1592C22×C4—2681no—
1593C22×C4—671no—
1594C22×C4—671no—
1595C22×C4—671no—
1596C22×C4—671no—
1597C22×C4—671no—
1598C22×C4—671no—
1599C22×C4—1341no—
1600C22×C4—1341no—
1601C22×C4—1341no—
1602C22×C4—1341no—
1603C22×C4—1341no—
1604C22×C4—1341no—
1605C22×C4—1341no—
1606C22×C4—1341no—
1607C22×C4—1341no—
1608C22×C4—1341no—
1609C22×C4—1341no—
1610C22×C4—1341no—
1611C22×C4C23×D6711yescharacteristic
1612C22×C4C23×D6711yescharacteristic
1613Q16—41no—
1614Q16—2681no—
1615SD16—22no—
1616SD16—41no—
1617SD16—2681no—
1618SD16—2681no—
1619SD16—2681no—
1620SD16—2681no—
1621SD16—2681no—
1622SD16—2681no—
1623SD16—2681no—
1624SD16—1342no—
1625SD16—1342no—
1626SD16—1342no—
1627D8—2681no—
1628D8—2681no—
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—21no—
1657C4⋊C4—21no—
1658C4⋊C4—21no—
1659C4⋊C4—21no—
1660C4⋊C4—671no—
1661C4⋊C4—671no—
1662C4⋊C4—671no—
1663C4⋊C4—671no—
1664C4⋊C4—671no—
1665C4⋊C4—671no—
1666C4⋊C4—671no—
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⋊C4D4×D6711yescharacteristic
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—671no—
1689C22⋊C4—671no—
1690C22⋊C4—671no—
1691C22⋊C4—671no—
1692C22⋊C4—671no—
1693C22⋊C4—671no—
1694C22⋊C4—671no—
1695C22⋊C4—671no—
1696C22⋊C4—1341no—
1697C22⋊C4—1341no—
1698C22⋊C4—1341no—
1699C22⋊C4—1341no—
1700C22⋊C4—1341no—
1701C22⋊C4—1341no—
1702C22⋊C4—1341no—
1703C22⋊C4—1341no—
1704C22⋊C4—1341no—
1705C22⋊C4—1341no—
1706C22⋊C4—1341no—
1707C22⋊C4—1341no—
1708C22⋊C4—1341no—
1709C22⋊C4—1341no—
1710C22⋊C4—1341no—
1711C22⋊C4—1341no—
1712C22⋊C4—1341no—
1713C22⋊C4—1341no—
1714C22⋊C4—1341no—
1715C22⋊C4—1341no—
1716C22⋊C4—1341no—
1717C22⋊C4—1341no—
1718C22⋊C4—1341no—
1719C22⋊C4—1341no—
1720C22⋊C4—1341no—
1721C22⋊C4—1341no—
1722C22⋊C4—1341no—
1723C22⋊C4—1341no—
1724C22⋊C4D4×D6711yescharacteristic
1725C22⋊C4D4×D6711yescharacteristic
1726C42—21no—
1727C42—671no—
1728C42—1341no—
1729C42—1341no—
1730C42C23×D6711yescharacteristic
1731C23—21no—
1732C23—21no—
1733C23—42no—
1734C23—42no—
1735C23—81no—
1736C23—2681no—
1737C23—2682no—
1738C23—2682no—
1739C23—2682no—
1740C23—2682no—
1741C23—2682no—
1742C23—2682no—
1743C23—2682no—
1744C23—2682no—
1745C23—2682no—
1746C23—2682no—
1747C23—5361no—
1748C23—5361no—
1749C23—5361no—
1750C23—5361no—
1751C23—5361no—
1752C23—5361no—
1753C23—5361no—
1754C23—5361no—
1755C23—5361no—
1756C23—5361no—
1757C23—5361no—
1758C23—5361no—
1759C23—5361no—
1760C23—53616no—
1761C23—671no—
1762C23—671no—
1763C23—671no—
1764C23—1342no—
1765C23—1344no—
1766C23—1341no—
1767C23—1341no—
1768C23—1341no—
1769C23—1341no—
1770C23—1342no—
1771C23—1341no—
1772C23C2×D4×D6711yescharacteristic
1773C23C2×D4×D6711yescharacteristic
1774Q8—21no—
1775Q8—21no—
1776Q8—21no—
1777Q8—21no—
1778Q8—81no—
1779Q8—2681no—
1780Q8—5361no—
1781Q8—5361no—
1782Q8—1341no—
1783Q8—1341no—
1784D4—22no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—42no—
1789D4—42no—
1790D4—81no—
1791D4—2682no—
1792D4—2682no—
1793D4—2681no—
1794D4—2682no—
1795D4—2682no—
1796D4—2682no—
1797D4—2682no—
1798D4—2682no—
1799D4—2682no—
1800D4—2682no—
1801D4—2682no—
1802D4—2681no—
1803D4—2681no—
1804D4—2682no—
1805D4—2682no—
1806D4—5361no—
1807D4—5361no—
1808D4—5361no—
1809D4—5361no—
1810D4—5361no—
1811D4—5361no—
1812D4—5361no—
1813D4—5361no—
1814D4—5361no—
1815D4—5361no—
1816D4—5361no—
1817D4—5361no—
1818D4—5361no—
1819D4—5361no—
1820D4—672no—
1821D4—1342no—
1822D4—1342no—
1823D4—1344no—
1824D4—1342no—
1825D4—1341no—
1826D4—1341no—
1827D4—1341no—
1828D4—1341no—
1829D4—1341no—
1830D4—1341no—
1831D4—1341no—
1832D4—1341no—
1833D4—1341no—
1834D4#1452408912yes—
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—42no—
1846C2×C4—81no—
1847C2×C4—81no—
1848C2×C4—81no—
1849C2×C4—2681no—
1850C2×C4—2681no—
1851C2×C4—2682no—
1852C2×C4—2682no—
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—671no—
1865C2×C4—671no—
1866C2×C4—671no—
1867C2×C4—671no—
1868C2×C4—671no—
1869C2×C4—1341no—
1870C2×C4—1341no—
1871C2×C4—1341no—
1872C2×C4—1341no—
1873C2×C4—1341no—
1874C2×C4—1341no—
1875C2×C4—1341no—
1876C2×C4—1341no—
1877C2×C4—1341no—
1878C2×C4C2×D4×D6711yescharacteristic
1879C2×C4C2×D4×D6711yescharacteristic
1880C2×C4C2×D4×D6711yescharacteristic
1881C2×C4C2×D4×D6711yescharacteristic
1882C2×C4C24×D6711yescharacteristic
1883C8—21no—
1884C8—21no—
1885C8—21no—
1886C8—21no—
1887C8—1341no—
1888C8—1341no—
1889C8—1341no—
1890C8—1341no—
1891C22—21no—
1892C22—21no—
1893C22—21no—
1894C22—22no—
1895C22—21no—
1896C22—21no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—84no—
1903C22—2684no—
1904C22—2681no—
1905C22—2681no—
1906C22—2681no—
1907C22—2681no—
1908C22—2681no—
1909C22—2681no—
1910C22—2681no—
1911C22—2681no—
1912C22—2681no—
1913C22—2681no—
1914C22—2681no—
1915C22—2681no—
1916C22—2681no—
1917C22—2681no—
1918C22—5364no—
1919C22—5364no—
1920C22—5364no—
1921C22—5364no—
1922C22—5364no—
1923C22—10722no—
1924C22—10722no—
1925C22—10722no—
1926C22—672no—
1927C22—1341no—
1928C22—1342no—
1929C22—1341no—
1930C22—1341no—
1931C22—1341no—
1932C22—1341no—
1933C22—1341no—
1934C22—1341no—
1935C22—1341no—
1936C22#1686420512yes—
1937C22C22×D4×D6711yescharacteristic
1938C4—21no—
1939C4—21no—
1940C4—21no—
1941C4—21no—
1942C4—41no—
1943C4—41no—
1944C4—41no—
1945C4—41no—
1946C4—41no—
1947C4—41no—
1948C4—2681no—
1949C4—2681no—
1950C4—2681no—
1951C4—1341no—
1952C4—1341no—
1953C4—1341no—
1954C4—1341no—
1955C4—1341no—
1956C4H(5,𝔽2)×D6711yescharacteristic
1957C4C2×#1452408911yescharacteristic
1958C2—22no—
1959C2—41no—
1960C2—42no—
1961C2—81no—
1962C2—2681no—
1963C2—2682no—
1964C2—2681no—
1965C2—5361no—
1966C2—5361no—
1967C2—5361no—
1968C2—5361no—
1969C2—1342no—
1970C2#2257383911yescharacteristic
1971C2#576×D6711yescharacteristic
1972C2C2×#1686420511yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3314C2
socleC22×C67C23×D4
hypercenter#3314D67
hypocenterC67#61629
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
1. #22574437C2semidirect
2. #22573839C2semidirect
3. #22572288C2semidirect
4. #22572171C2semidirect
5. #22572169C2semidirect
6. #22572029C2semidirect
7. #22572027C2semidirect
8. #22572020C2semidirect
9. #22572019C2semidirect
10. #22571914C2semidirect
11. #22571911C2semidirect
12. #22571891C2semidirect
13. #22571890C2semidirect
14. #22571711C2semidirect
15. #22571706C2semidirect
16. #22571694C2semidirect
17. #22571693C2semidirect
18. #22571310C2semidirect
19. #22571304C2semidirect
20. #22571068C2semidirect
21. #22571062C2semidirect
22. #22570991C2semidirect
23. #22570979C2semidirect
24. #22570400C2semidirect
25. #22570397C2semidirect
26. #22569517C2semidirect
27. #22569515C2semidirect
28. #450×D67C2semidirect
29. C2×#16863531C2semidirect
30. #22569260C2semidirect
31. C67×#3314C2semidirect
32. C2×#14524089C22semidirect
34. C2×#14524071C22semidirect
35. C2×#14524070C22semidirect
36. C2×#14524066C22semidirect
37. C2×#14524063C22semidirect
38. C2×SD16×D67C22semidirect
39. C2×SD16×D67C22semidirect
40. C22×D536C22semidirect
41. C22×#11761613C22semidirect
44. #16864101C22semidirect
45. #16864058C22semidirect
46. #16864056C22semidirect
47. #16864049C22semidirect
48. #16864047C22semidirect
50. #16864042C22semidirect
51. #16864039C22semidirect
55. #16864037C22semidirect
57. #16864034C22semidirect
59. D4×D268C22semidirect
61. #16864030C22semidirect
65. #16864020C22semidirect
66. #16864018C22semidirect
69. #16863977C22semidirect
71. #16863976C22semidirect
72. #16863964C22semidirect
73. #16863962C22semidirect
78. C22⋊Q8×D67C22semidirect
79. C2×#14524018C22semidirect
82. #16863868C22semidirect
83. #16863785C22semidirect
84. #16863782C22semidirect
85. #16863781C22semidirect
86. #16863778C22semidirect
87. #16863757C22semidirect
88. #16863744C22semidirect
89. #16863741C22semidirect
90. #16863739C22semidirect
91. #16863735C22semidirect
92. #16863725C22semidirect
93. #16863723C22semidirect
94. #16863723C22semidirect
95. #16863714C22semidirect
96. #16863714C22semidirect
97. #16863713C22semidirect
98. #16863711C22semidirect
99. #16863711C22semidirect
100. #16863684C22semidirect
101. #16863683C22semidirect
102. #16863675C22semidirect
103. #16863649C22semidirect
104. #16863648C22semidirect
105. #16863643C22semidirect
106. #16863635C22semidirect
107. #16863633C22semidirect
108. #16863633C22semidirect
109. #16863633C22semidirect
110. #16863630C22semidirect
111. #16863628C22semidirect
112. #16863628C22semidirect
113. #16863627C22semidirect
114. #16863627C22semidirect
115. #16863625C22semidirect
116. #16863624C22semidirect
117. #16863621C22semidirect
118. #16863614C22semidirect
119. #16863614C22semidirect
120. #16863613C22semidirect
121. #16863612C22semidirect
122. #16863611C22semidirect
123. #16863608C22semidirect
124. #16863596C22semidirect
125. #16863595C22semidirect
126. #16863592C22semidirect
127. #16863590C22semidirect
128. #16863561C22semidirect
129. #16863561C22semidirect
130. #16863557C22semidirect
131. #16863550C22semidirect
132. #16863549C22semidirect
133. #16863548C22semidirect
134. #16863548C22semidirect
135. #16863548C22semidirect
136. #16863547C22semidirect
137. #16863546C22semidirect
138. #16863546C22semidirect
139. #16863546C22semidirect
140. #16863545C22semidirect
141. #16863545C22semidirect
142. #16863544C22semidirect
143. #16863544C22semidirect
144. #16863544C22semidirect
145. #16863544C22semidirect
146. #16863543C22semidirect
147. #16863541C22semidirect
148. #16863540C22semidirect
149. #16863539C22semidirect
150. #16863536C22semidirect
151. #16863532C22semidirect
152. #16863532C22semidirect
155. #16863531C22semidirect
156. #16863531C22semidirect
157. #16863531C22semidirect
158. #16863531C22semidirect
159. #16863531C22semidirect
160. #16863531C22semidirect
161. #16863531C22semidirect
162. #16863509C22semidirect
163. #16863505C22semidirect
164. #16863495C22semidirect
165. #16863487C22semidirect
166. C4×#11761615C22semidirect
167. #16863478C22semidirect
168. C4×#11761613C22semidirect
169. #16863469C22semidirect
170. #16863465C22semidirect
171. #16863464C22semidirect
172. D4×C67⋊C8C22semidirect
173. #16863461C22semidirect
174. C8×C22⋊D67C22semidirect
175. (C22⋊D67)⋊C8C22semidirect
176. #16863458C22semidirect
177. #16863456C22semidirect
178. #16863396C22semidirect
179. C2×#14523963C22semidirect
180. C2×#14523963C22semidirect
181. #102×D67C22semidirect
182. #102×D67C22semidirect
183. #102×D67C22semidirect
184. #16863364C22semidirect
185. #16863361C22semidirect
186. C2×(C2×D67)⋊C8C22semidirect
187. C22⋊C8×D67C22semidirect
188. #554×C67C22semidirect
190. #489×C67C22semidirect
191. #484×C67C22semidirect
192. #480×C67C22semidirect
193. #474×C67C22semidirect
194. #468×C67C22semidirect
195. #467×C67C22semidirect
196. #464×C67C22semidirect
197. #452×C67C22semidirect
198. #450×C67C22semidirect
199. #440×C67C22semidirect
200. #435×C67C22semidirect
201. #417×C67C22semidirect
202. C2×#102×C67C22semidirect
209. C2×#11761629C23semidirect
213. C2×#11761628C23semidirect
241. C2×#11761618C23semidirect
244. C2×#11761617C23semidirect
249. C2×#11761615C23semidirect
250. C2×#11761615C23semidirect
251. C2×#11761615C23semidirect
259. C2×D536C23semidirect
260. C2×D536C23semidirect
266. C2×#11761611C23semidirect
268. C22×C67⋊C8C23semidirect
271. C2×C8×D67C23semidirect
272. #14524042C23semidirect
281. #14524032C23semidirect
284. #14524031C23semidirect
304. #14524023C23semidirect
334. #14524018C23semidirect
340. #14524017C23semidirect
374. #14524008C23semidirect
378. C4×D268C23semidirect
383. #14524005C23semidirect
394. C4⋊C4×D67C23semidirect
404. #14523976C23semidirect
405. #14523975C23semidirect
406. #14523974C23semidirect
407. #14523974C23semidirect
408. #14523974C23semidirect
409. C4⋊(C67⋊C8)C23semidirect
410. Dic67⋊C8C23semidirect
411. Dic67⋊C8C23semidirect
412. #14523968C23semidirect
413. #14523967C23semidirect
414. #14523967C23semidirect
415. #14523966C23semidirect
418. #14523965C23semidirect
419. #14523965C23semidirect
420. #14523965C23semidirect
429. #14523963C23semidirect
430. #14523963C23semidirect
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
449. C2×Q16×C67C23semidirect
452. C2×M16×C67C23semidirect
454. C4⋊Q8×C67C23semidirect
462. C22⋊Q8×C67C23semidirect
466. C4×Q8×C67C23semidirect
471. C2×C4⋊C4×C67C23semidirect
473. #107×C67C23semidirect
474. #107×C67C23semidirect
475. #107×C67C23semidirect
476. C4⋊C8×C67C23semidirect
477. #103×C67C23semidirect
478. #103×C67C23semidirect
479. #103×C67C23semidirect
480. #103×C67C23semidirect
488. C22⋊C8×C67C23semidirect
489. #97×C67C23semidirect
990. #3314D67semidirect
1018. C67#61629semidirect
1032. #554C2×D67semidirect
1077. #489C2×D67semidirect
1082. #484C2×D67semidirect
1091. #480C2×D67semidirect
1095. #474C2×D67semidirect
1099. #468C2×D67semidirect
1101. #467C2×D67semidirect
1113. #464C2×D67semidirect
1127. #452C2×D67semidirect
1139. #450C2×D67semidirect
1163. #440C2×D67semidirect
1171. #435C2×D67semidirect
1179. #417C2×D67semidirect
1185. C2×#102C2×D67semidirect
1231. C2×Q16C22×D67semidirect
1259. C2×M16C22×D67semidirect
1267. C4⋊Q8C22×D67semidirect
1322. C22⋊Q8C22×D67semidirect
1381. C4×Q8C22×D67semidirect
1406. C2×C4⋊C4C22×D67semidirect
1418. #107C22×D67semidirect
1419. #107C22×D67semidirect
1420. #107C22×D67semidirect
1428. C4⋊C8C22×D67semidirect
1433. #103C22×D67semidirect
1434. #103C22×D67semidirect
1435. #103C22×D67semidirect
1436. #103C22×D67semidirect
1472. C22⋊C8C22×D67semidirect
1474. #97C22×D67semidirect

Maximal subgroups

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

subgroupindex
#225744372
#225738392
#225722882
#225721712
#225721692
#225720292
#225720272
#225720202
#225720192
#225719142
#225719112
#225718912
#225718902
#225717112
#225717062
#225716942
#225716932
#225713102
#225713042
#225710682
#225710622
#225709912
#225709792
#225704002
#225703972
#225695172
#225695152
#450×D672
C2×#168635312
#225692602
C67×#33142
#6162967