Finite Group Databasebeta

← #31741895

Subgroups — #31741895

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#22574432C211yesmaximal, characteristic, complemented
2#22573839C211yesmaximal, characteristic, complemented
3#22572291C211yesmaximal, characteristic, complemented
4#22572289C211yesmaximal, characteristic, complemented
5#22572168C211yesmaximal, characteristic, complemented
6#22572031C211yesmaximal, characteristic, complemented
7#22572030C211yesmaximal, characteristic, complemented
8#22572018C211yesmaximal, characteristic, complemented
9#22572016C211yesmaximal, characteristic, complemented
10#22571913C211yesmaximal, characteristic, complemented
11#22571912C211yesmaximal, characteristic, complemented
12#22571892C211yesmaximal, characteristic, complemented
13#22571889C211yesmaximal, characteristic, complemented
14#22571709C211yesmaximal, characteristic, complemented
15#22571708C211yesmaximal, characteristic, complemented
16#22571696C211yesmaximal, characteristic, complemented
17#22571691C211yesmaximal, characteristic, complemented
18#22571304C211yesmaximal, characteristic, complemented
19#22571302C211yesmaximal, characteristic, complemented
20#22571066C211yesmaximal, characteristic, complemented
21#22571056C211yesmaximal, characteristic, complemented
22#22570995C211yesmaximal, characteristic, complemented
23#22570975C211yesmaximal, characteristic, complemented
24#22570398C211yesmaximal, characteristic, complemented
25#22570391C211yesmaximal, characteristic, complemented
26#22569515C211yesmaximal, characteristic, complemented
27#22569511C211yesmaximal, characteristic, complemented
28C2×#16863548C211yesmaximal, characteristic, complemented
29#447×D67C211yesmaximal, characteristic, complemented
30#22569260C211yesmaximal, characteristic, complemented
31C67×#3306C211yesmaximal, characteristic, complemented
32C2×#14524089C2211yescharacteristic, complemented
33C22×D4×D67C2211yescharacteristic
34C2×#14524071C2211yescharacteristic, complemented
35C2×#14524067C2211yescharacteristic, complemented
36C2×#14524064C2211yescharacteristic, complemented
37C2×#14524063C2211yescharacteristic, complemented
38C22×#11761617C2211yescharacteristic, complemented
39C22×#11761616C2211yescharacteristic, complemented
40C2×D8×D67C2211yescharacteristic, complemented
41C2×D8×D67C2211yescharacteristic, complemented
42#16864143—21no—
43#16864142—21no—
44#16864107C2211yescharacteristic, complemented
45#16864101C2211yescharacteristic, complemented
46#16864055C2211yescharacteristic, complemented
47#16864052C2211yescharacteristic, complemented
48#16864047C2211yescharacteristic, complemented
49#16864043C2211yescharacteristic, complemented
50#16864041C2211yescharacteristic, complemented
51#16864039C2211yescharacteristic
52#16864038—21no—
53#16864038—21no—
54#16864037C2211yescharacteristic, complemented
55#16864036—21no—
56#16864034—21no—
57#16864034C2211yescharacteristic
58D4×D268C2211yescharacteristic
59D4×D268C2211yescharacteristic, complemented
60#16864030—21no—
61#16864030C2211yescharacteristic
62D4×C22⋊D67C2211yescharacteristic, complemented
63#16864028—21no—
64#16864021—21no—
65#16864020C2211yescharacteristic, complemented
66#16864011C2211yescharacteristic, complemented
67#16863990—21no—
68#16863982—21no—
69#16863977C2211yescharacteristic, complemented
70#16863975C2211yescharacteristic, complemented
71#16863974—21no—
72#16863964C2211yescharacteristic, complemented
73#16863962C2211yescharacteristic, complemented
74#16863957—21no—
75#16863954—21no—
76#16863909C2211yescharacteristic
77#16863905C2211yescharacteristic
78C2×#14524023C2211yescharacteristic, complemented
79#121×D67C2211yescharacteristic, complemented
80C2×#14524013—21no—
81#120×D67—21no—
82#16863868C2211yescharacteristic, complemented
83#16863785C2211yescharacteristic, complemented
84#16863784C2211yescharacteristic, complemented
85#16863778C2211yescharacteristic, complemented
86#16863777C2211yescharacteristic, complemented
87#16863757C2211yescharacteristic, complemented
88#16863744C2211yescharacteristic, complemented
89#16863741C2211yescharacteristic, complemented
90#16863740C2211yescharacteristic, complemented
91#16863740C2211yescharacteristic, complemented
92#16863730C2211yescharacteristic, complemented
93#16863722C2211yescharacteristic, complemented
94#16863718C2211yescharacteristic, complemented
95#16863716C2211yescharacteristic, complemented
96#16863716C2211yescharacteristic, complemented
97#16863709C2211yescharacteristic, complemented
98#16863709C2211yescharacteristic, complemented
99#16863708C2211yescharacteristic, complemented
100#16863685C2211yescharacteristic, complemented
101#16863674C2211yescharacteristic, complemented
102#16863673C2211yescharacteristic, complemented
103#16863650C2211yescharacteristic, complemented
104#16863642C2211yescharacteristic, complemented
105#16863641C2211yescharacteristic, complemented
106#16863636C2211yescharacteristic, complemented
107#16863636C2211yescharacteristic, complemented
108#16863632C2211yescharacteristic, complemented
109#16863631C2211yescharacteristic, complemented
110#16863630C2211yescharacteristic, complemented
111#16863630C2211yescharacteristic, complemented
112#16863627C2211yescharacteristic, complemented
113#16863626C2211yescharacteristic, complemented
114#16863626C2211yescharacteristic, complemented
115#16863626C2211yescharacteristic, complemented
116#16863623C2211yescharacteristic, complemented
117#16863621C2211yescharacteristic, complemented
118#16863615C2211yescharacteristic, complemented
119#16863614C2211yescharacteristic, complemented
120#16863612C2211yescharacteristic, complemented
121#16863611C2211yescharacteristic, complemented
122#16863610C2211yescharacteristic, complemented
123#16863609C2211yescharacteristic, complemented
124#16863597C2211yescharacteristic, complemented
125#16863595C2211yescharacteristic, complemented
126#16863591C2211yescharacteristic, complemented
127#16863590C2211yescharacteristic, complemented
128#16863561C2211yescharacteristic, complemented
129#16863561C2211yescharacteristic, complemented
130#16863561C2211yescharacteristic, complemented
131#16863558C2211yescharacteristic, complemented
132#16863551C2211yescharacteristic, complemented
133#16863549C2211yescharacteristic, complemented
134#16863548C2211yescharacteristic, complemented
135#16863548C2211yescharacteristic, complemented
136#16863548C2211yescharacteristic, complemented
137#16863548C2211yescharacteristic, complemented
138#16863548C2211yescharacteristic, complemented
139#16863548C2211yescharacteristic, complemented
140#16863548C2211yescharacteristic, complemented
141#16863548C2211yescharacteristic, complemented
142#16863548C2211yescharacteristic, complemented
143#16863545C2211yescharacteristic, complemented
144#16863544C2211yescharacteristic, complemented
145#16863544C2211yescharacteristic, complemented
146#16863543C2211yescharacteristic, complemented
147#16863542C2211yescharacteristic, complemented
148#16863540C2211yescharacteristic, complemented
149#16863539C2211yescharacteristic, complemented
150#16863538C2211yescharacteristic, complemented
151#16863537C2211yescharacteristic, complemented
152#16863532C2211yescharacteristic, complemented
153#16863531C2211yescharacteristic
154#16863531C2211yescharacteristic, complemented
155#16863531C2211yescharacteristic, complemented
156#16863531C2211yescharacteristic, complemented
157#16863530C2211yescharacteristic, complemented
158#16863529C2211yescharacteristic, complemented
159#16863529C2211yescharacteristic, complemented
160#16863528C2211yescharacteristic
161#16863528C2211yescharacteristic, complemented
162#16863507C2211yescharacteristic, complemented
163#16863498C2211yescharacteristic, complemented
164#16863493C2211yescharacteristic, complemented
165#16863483C2211yescharacteristic, complemented
166C4×#11761616C2211yescharacteristic, complemented
167C4×#11761613C2211yescharacteristic, complemented
168#16863476C2211yescharacteristic, 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#547×C67C2211yescharacteristic, complemented
189#546×C67C2211yescharacteristic, complemented
190#489×C67C2211yescharacteristic, complemented
191#483×C67C2211yescharacteristic, complemented
192#481×C67C2211yescharacteristic, complemented
193#476×C67C2211yescharacteristic, complemented
194#469×C67C2211yescharacteristic, complemented
195#465×C67C2211yescharacteristic, complemented
196#463×C67C2211yescharacteristic, complemented
197#449×C67C2211yescharacteristic, complemented
198#447×C67C2211yescharacteristic, complemented
199#442×C67C2211yescharacteristic, complemented
200#435×C67C2211yescharacteristic, complemented
201#417×C67C2211yescharacteristic, complemented
202C2×#102×C67C2211yescharacteristic, complemented
203C24×D67—21no—
204#14524089—42no—
205#14524089—42no—
206C2×#11761629C2311yescharacteristic
207C2×#11761629C2311yescharacteristic
208C2×#11761628—21no—
209C2×#11761628—21no—
210C2×#11761628C2311yescharacteristic
211C2×#11761628C2311yescharacteristic, complemented
212C2×#11761627C2311yescharacteristic, complemented
213C22×Dic134C2311yescharacteristic
214C22×D268—21no—
215C22×D268—21no—
216C22×D268C2311yescharacteristic
217C22×D268C2311yescharacteristic
218C22×C22⋊D67—21no—
219C22×C22⋊D67—21no—
220C2×D4×D67—21no—
221C2×D4×D67—21no—
222C2×D4×D67—21no—
223C2×D4×D67—21no—
224C2×D4×D67—21no—
225C2×D4×D67—21no—
226C2×D4×D67—21no—
227C2×D4×D67—42no—
228C2×D4×D67—42no—
229C2×D4×D67C2311yescharacteristic
230C2×D4×D67C2311yescharacteristic
231C2×D4×D67C2311yescharacteristic
232C2×D4×D67C2311yescharacteristic
233C2×D4×D67C2311yescharacteristic
234C2×D4×D67C2311yescharacteristic
235C22×C4×D67C2311yescharacteristic
236#14524071—42no—
237#14524067—42no—
238#14524064—42no—
239#14524063—42no—
240C2×#11761618C2311yescharacteristic, complemented
241C2×#11761618C2311yescharacteristic, complemented
242C2×#11761617—42no—
243C2×#11761617C2311yescharacteristic
244C2×#11761617C2311yescharacteristic
245C2×#11761617C2311yescharacteristic
246C2×#11761617C2311yescharacteristic
247C2×#11761617C2311yescharacteristic, complemented
248C2×#11761617C2311yescharacteristic, complemented
249C2×#11761616—42no—
250C2×#11761616C2311yescharacteristic
251C2×#11761616C2311yescharacteristic
252C2×#11761616C2311yescharacteristic
253C2×#11761616C2311yescharacteristic
254C2×#11761615C2311yescharacteristic, complemented
255C2×D536C2311yescharacteristic
256C2×D536C2311yescharacteristic
257C2×D536C2311yescharacteristic, complemented
258C2×#11761613C2311yescharacteristic
259C2×#11761613C2311yescharacteristic
260C2×#11761613C2311yescharacteristic
261C2×#11761613C2311yescharacteristic
262C2×#11761613C2311yescharacteristic, complemented
263D8×D67—42no—
264D8×D67—42no—
265C2×#11761611C2311yescharacteristic, complemented
266C22×C67⋊C8C2311yescharacteristic
267C22×C67⋊C8C2311yescharacteristic, complemented
268C2×C8×D67C2311yescharacteristic
269C2×C8×D67C2311yescharacteristic
270C2×C8×D67C2311yescharacteristic, complemented
271#14524042C2311yescharacteristic, complemented
272#14524040C2311yescharacteristic
273#14524039—21no—
274#14524039C2311yescharacteristic
275#14524038—21no—
276#14524036—21no—
277#14524034—21no—
278#14524033—21no—
279#14524032—21no—
280#14524032C2311yescharacteristic
281#14524031C2311yescharacteristic, complemented
282#14524030C2311yescharacteristic, complemented
283#14524029—21no—
284#14524029—21no—
285#14524029—21no—
286#14524029—21no—
287#14524028—21no—
288#14524028—21no—
289#14524028—21no—
290#14524028—21no—
291#14524028D411yescharacteristic
292#14524027—21no—
293#14524026—21no—
294#14524026—21no—
295#14524026—21no—
296#14524025—21no—
297#14524025—21no—
298#14524025D411yescharacteristic
299#14524023—21no—
300#14524023—21no—
301#14524023—21no—
302#14524023C2311yescharacteristic
303#14524023C2311yescharacteristic
304#14524023C2311yescharacteristic
305#14524023C2311yescharacteristic
306#14524023C2311yescharacteristic, complemented
307#14524022—21no—
308#14524022—21no—
309#14524022C2311yescharacteristic, complemented
310#14524021—21no—
311#14524021—21no—
312#14524021—21no—
313#14524021D411yescharacteristic
314#14524020—21no—
315#14524020—21no—
316#14524020D411yescharacteristic
317#14524019—21no—
318#14524019—21no—
319#14524019—21no—
320#14524019C2311yescharacteristic
321#14524018—21no—
322#14524018—21no—
323#14524018—21no—
324#14524018C2311yescharacteristic
325#14524018C2311yescharacteristic
326#14524018C2311yescharacteristic
327#14524018C2311yescharacteristic, complemented
328#14524017—21no—
329#14524017—21no—
330#14524017—21no—
331#14524017—21no—
332#14524017C2311yescharacteristic
333#14524017C2311yescharacteristic
334#14524017C2311yescharacteristic
335#14524016—21no—
336#14524016—21no—
337#14524016—21no—
338#14524016—21no—
339#14524016—21no—
340#14524016—21no—
341#14524016D411yescharacteristic
342#14524015—21no—
343#14524015—21no—
344#14524015—21no—
345#14524015—21no—
346#14524015—21no—
347#14524015—21no—
348#14524015D411yescharacteristic
349#14524014—21no—
350#14524014—21no—
351#14524014C2311yescharacteristic
352#14524014C2311yescharacteristic
353#14524013—21no—
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#14524013D411yescharacteristic
366#14524012—21no—
367#14524011—21no—
368#14524011—21no—
369#14524011—21no—
370#14524011—21no—
371#14524011—21no—
372#14524011D411yescharacteristic
373C4×Dic134C2311yescharacteristic, complemented
374#14524008C2311yescharacteristic, complemented
375C4×D268C2311yescharacteristic
376C4×D268C2311yescharacteristic
377D4×Dic67—21no—
378D4×Dic67C2311yescharacteristic
379#14524005—21no—
380#14524005—21no—
381#14524005C2311yescharacteristic
382#14524005C2311yescharacteristic, complemented
383C4×C22⋊D67—21no—
384C4×C22⋊D67—21no—
385C4×C22⋊D67C2311yescharacteristic
386C4×C22⋊D67C2311yescharacteristic
387(C22⋊D67)⋊C4—21no—
388(C22⋊D67)⋊C4—21no—
389(C22⋊D67)⋊C4—21no—
390#14524001C2311yescharacteristic
391#14524000C2311yescharacteristic
392C2×C4⋊Dic67—21no—
393C4⋊C4×D67C2311yescharacteristic
394C4⋊C4×D67C2311yescharacteristic, complemented
395C2×(C2×D67)⋊C4—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#14523977C2311yescharacteristic, complemented
405#14523976C2311yescharacteristic, complemented
406#14523976C2311yescharacteristic, complemented
407#14523976C2311yescharacteristic, complemented
408#14523974C2311yescharacteristic, complemented
409C4⋊(C67⋊C8)C2311yescharacteristic, complemented
410Dic67⋊C8C2311yescharacteristic, complemented
411Dic67⋊C8C2311yescharacteristic, complemented
412#14523968C2311yescharacteristic, complemented
413#14523968C2311yescharacteristic, complemented
414#14523967C2311yescharacteristic, complemented
415#14523966C2311yescharacteristic, complemented
416#14523966C2311yescharacteristic, complemented
417#14523965C2311yescharacteristic
418#14523965C2311yescharacteristic
419#14523965C2311yescharacteristic, complemented
420#14523965C2311yescharacteristic, complemented
421#14523964C2311yescharacteristic
422#14523964C2311yescharacteristic
423#14523964C2311yescharacteristic, complemented
424#14523963C2311yescharacteristic
425#14523963C2311yescharacteristic
426#14523963C2311yescharacteristic
427#14523963C2311yescharacteristic
428#14523963C2311yescharacteristic
429#14523963C2311yescharacteristic
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×C67—21no—
448C2×#41×C67C2311yescharacteristic
449C22×D4×C67C2311yescharacteristic
450C2×SD16×C67C2311yescharacteristic, complemented
451C2×D8×C67C2311yescharacteristic
452C2×D8×C67C2311yescharacteristic
453C2×M16×C67C2311yescharacteristic, complemented
454C22×C8×C67C2311yescharacteristic
455C4⋊Q8×C67C2311yescharacteristic, complemented
456#124×C67C2311yescharacteristic
457#123×C67—21no—
458#123×C67—21no—
459#123×C67—21no—
460C22⋊Q8×C67—21no—
461C22⋊Q8×C67C2311yescharacteristic
462#121×C67—21no—
463#121×C67C2311yescharacteristic
464#121×C67C2311yescharacteristic
465#121×C67C2311yescharacteristic, complemented
466#120×C67—21no—
467C4×D4×C67C2311yescharacteristic
468C4×D4×C67C2311yescharacteristic
469C4×D4×C67C2311yescharacteristic, complemented
470C2×C4⋊C4×C67C2311yescharacteristic
471C2×C4⋊C4×C67C2311yescharacteristic, complemented
472C2×C22⋊C4×C67—21no—
473#106×C67C2311yescharacteristic, complemented
474#106×C67C2311yescharacteristic, complemented
475#106×C67C2311yescharacteristic, complemented
476C4⋊C8×C67C2311yescharacteristic, complemented
477#103×C67C2311yescharacteristic, complemented
478#103×C67C2311yescharacteristic, complemented
479#103×C67C2311yescharacteristic, complemented
480#102×C67C2311yescharacteristic
481#102×C67C2311yescharacteristic
482#102×C67C2311yescharacteristic
483#102×C67C2311yescharacteristic
484#102×C67C2311yescharacteristic
485#102×C67C2311yescharacteristic
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—22no—
503#11761629—41no—
504#11761629—41no—
505#11761629—41no—
506#11761628—41no—
507#11761628—41no—
508#11761628—41no—
509#11761628—41no—
510#11761628—44no—
511#11761628—82no—
512#11761627—41no—
513#11761627—41no—
514C2×Dic134—21no—
515C2×Dic134—21no—
516C2×Dic134—41no—
517C2×Dic134—41no—
518C2×Dic134C2×D411yescharacteristic
519C2×Dic134C2411yescharacteristic
520C2×Dic134C2411yescharacteristic
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—41no—
534C2×D268—41no—
535C2×D268—44no—
536C2×D268—82no—
537C2×D268C2×D411yescharacteristic
538C2×D268C2×D411yescharacteristic
539C2×D268C2411yescharacteristic
540C2×D268C2411yescharacteristic
541C2×D268C2411yescharacteristic
542C2×D268C2411yescharacteristic
543C2×C22⋊D67—21no—
544C2×C22⋊D67—21no—
545C2×C22⋊D67—21no—
546C2×C22⋊D67—21no—
547C2×C22⋊D67—21no—
548C2×C22⋊D67—21no—
549C2×C22⋊D67—21no—
550C2×C22⋊D67—21no—
551C2×C22⋊D67—21no—
552C2×C22⋊D67—21no—
553C2×C22⋊D67—21no—
554C2×C22⋊D67—21no—
555C2×C22⋊D67—21no—
556C2×C22⋊D67—21no—
557C2×C22⋊D67—21no—
558C2×C22⋊D67—44no—
559C2×C22⋊D67—82no—
560C2×C22⋊D67C2×D411yescharacteristic
561C2×C22⋊D67C2×D411yescharacteristic
562C2×C22⋊D67C2×D411yescharacteristic
563C2×C22⋊D67C2×D411yescharacteristic
564D4×D67—22no—
565D4×D67—22no—
566D4×D67—22no—
567D4×D67—22no—
568D4×D67—22no—
569D4×D67—41no—
570D4×D67—41no—
571D4×D67—41no—
572D4×D67—41no—
573D4×D67—41no—
574D4×D67—41no—
575D4×D67—41no—
576D4×D67—44no—
577D4×D67—44no—
578D4×D67—44no—
579D4×D67—44no—
580D4×D67—82no—
581D4×D67—82no—
582D4×D67—82no—
583C22×Dic67—21no—
584C22×Dic67—21no—
585C22×Dic67—21no—
586C22×Dic67C2×D411yescharacteristic
587C2×C4×D67—21no—
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—41no—
596C2×C4×D67—41no—
597C2×C4×D67C2×D411yescharacteristic
598C2×C4×D67C2×D411yescharacteristic
599C2×C4×D67C2411yescharacteristic
600C2×C4×D67C2411yescharacteristic
601C2×C4×D67C2411yescharacteristic
602#11761618—41no—
603#11761618—41no—
604#11761617—22no—
605#11761617—22no—
606#11761617—41no—
607#11761617—41no—
608#11761617—41no—
609#11761617—41no—
610#11761616—22no—
611#11761616—22no—
612#11761616—41no—
613#11761616—41no—
614#11761615—41no—
615D536—22no—
616D536—41no—
617D536—41no—
618#11761613—22no—
619#11761613—22no—
620#11761613—41no—
621#11761613—41no—
622#11761613—41no—
623#11761611—41no—
624C2×C67⋊C8—41no—
625C2×C67⋊C8—41no—
626C2×C67⋊C8C2411yescharacteristic
627C2×C67⋊C8C2411yescharacteristic
628C2×C67⋊C8C2411yescharacteristic
629C2×C67⋊C8C2411yescharacteristic
630C8×D67—41no—
631C8×D67—41no—
632C8×D67—41no—
633C4⋊Dic67—21no—
634C4⋊Dic67—21no—
635C4⋊Dic67—21no—
636C4⋊Dic67—21no—
637C4⋊Dic67—21no—
638C4⋊Dic67C2×D411yescharacteristic
639C4⋊Dic67C2411yescharacteristic
640C4⋊Dic67C2411yescharacteristic
641Dic67⋊C4—21no—
642Dic67⋊C4—21no—
643Dic67⋊C4—21no—
644Dic67⋊C4—21no—
645Dic67⋊C4—21no—
646Dic67⋊C4—21no—
647Dic67⋊C4—21no—
648Dic67⋊C4C2×D411yescharacteristic
649Dic67⋊C4C2×D411yescharacteristic
650Dic67⋊C4C2×D411yescharacteristic
651Dic67⋊C4C2×D411yescharacteristic
652C22⋊Dic67—21no—
653C22⋊Dic67—21no—
654C22⋊Dic67—21no—
655C22⋊Dic67—21no—
656C22⋊Dic67—21no—
657C22⋊Dic67—21no—
658C22⋊Dic67C2×D411yescharacteristic
659C22⋊Dic67C2×D411yescharacteristic
660(C2×D67)⋊C4—21no—
661(C2×D67)⋊C4—21no—
662(C2×D67)⋊C4—21no—
663(C2×D67)⋊C4—21no—
664(C2×D67)⋊C4—21no—
665(C2×D67)⋊C4—21no—
666(C2×D67)⋊C4—21no—
667(C2×D67)⋊C4—21no—
668(C2×D67)⋊C4—21no—
669(C2×D67)⋊C4—21no—
670(C2×D67)⋊C4—21no—
671(C2×D67)⋊C4—21no—
672(C2×D67)⋊C4—21no—
673(C2×D67)⋊C4—21no—
674(C2×D67)⋊C4—21no—
675(C2×D67)⋊C4—21no—
676(C2×D67)⋊C4—21no—
677(C2×D67)⋊C4—21no—
678(C2×D67)⋊C4—21no—
679(C2×D67)⋊C4—21no—
680(C2×D67)⋊C4—21no—
681(C2×D67)⋊C4C2×D411yescharacteristic
682(C2×D67)⋊C4C2×D411yescharacteristic
683(C2×D67)⋊C4C2×D411yescharacteristic
684(C2×D67)⋊C4C2×D411yescharacteristic
685(C2×D67)⋊C4C2×D411yescharacteristic
686(C2×D67)⋊C4C2×D411yescharacteristic
687C4×Dic67—21no—
688C4×Dic67—21no—
689C4×Dic67—21no—
690C4×Dic67C2411yescharacteristic
691C24×C67—21no—
692#41×C67—22no—
693#41×C67—41no—
694#41×C67—82no—
695C2×Q8×C67—21no—
696C2×Q8×C67C2411yescharacteristic
697C2×D4×C67—22no—
698C2×D4×C67—21no—
699C2×D4×C67—21no—
700C2×D4×C67—21no—
701C2×D4×C67—21no—
702C2×D4×C67—21no—
703C2×D4×C67—41no—
704C2×D4×C67C2×D411yescharacteristic
705C2×D4×C67C2411yescharacteristic
706C2×D4×C67C2411yescharacteristic
707C2×D4×C67C2411yescharacteristic
708C22×C4×C67—21no—
709C22×C4×C67—21no—
710C22×C4×C67—21no—
711C22×C4×C67—21no—
712C22×C4×C67—21no—
713C22×C4×C67C2411yescharacteristic
714C22×C4×C67C2411yescharacteristic
715SD16×C67—41no—
716D8×C67—22no—
717D8×C67—41no—
718M16×C67—41no—
719C2×C8×C67—41no—
720C2×C8×C67C2411yescharacteristic
721C2×C8×C67C2411yescharacteristic
722C2×C8×C67C2411yescharacteristic
723C2×C8×C67C2411yescharacteristic
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×C67—21no—
741C22⋊C4×C67C2×D411yescharacteristic
742C22⋊C4×C67C2×D411yescharacteristic
743C42×C67C2411yescharacteristic
744C23×C67—21no—
745C23×C67—21no—
746C23×C67—21no—
747C23×C67—42no—
748C23×C67—42no—
749C23×C67—81no—
750C23×C67C22×D411yescharacteristic
751C23×C67C22×D411yescharacteristic
752C22×D67—22no—
753C22×D67—21no—
754C22×D67—24no—
755C22×D67—22no—
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—81no—
790D4×C67—22no—
791D4×C67—21no—
792D4×C67—21no—
793D4×C67—21no—
794D4×C67—21no—
795D4×C67—21no—
796D4×C67—42no—
797D4×C67—42no—
798D4×C67—42no—
799D4×C67—81no—
800D4×C67—81no—
801D4×C67H(5,𝔽2)12yes—
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—21no—
811C2×C4×C67—42no—
812C2×C4×C67—42no—
813C2×C4×C67—81no—
814C2×C4×C67—81no—
815C2×C4×C67—81no—
816C2×C4×C67C22×D411yescharacteristic
817C2×C4×C67C22×D411yescharacteristic
818C2×C4×C67C22×D411yescharacteristic
819C2×C4×C67C22×D411yescharacteristic
820C2×C4×C67C2511yescharacteristic
821C22⋊D67—24no—
822C22⋊D67—22no—
823C22⋊D67—22no—
824C22⋊D67—41no—
825C22⋊D67—41no—
826C22⋊D67—42no—
827C22⋊D67—42no—
828C22⋊D67—42no—
829C22⋊D67—42no—
830C22⋊D67—42no—
831C22⋊D67—42no—
832C22⋊D67—81no—
833C22⋊D67—81no—
834C22⋊D67—81no—
835C22⋊D67—81no—
836C22⋊D67—81no—
837C22⋊D67—81no—
838C22⋊D67—81no—
839C22⋊D67—81no—
840C2×Dic67—21no—
841C2×Dic67—21no—
842C2×Dic67—21no—
843C2×Dic67—21no—
844C2×Dic67—41no—
845C2×Dic67—81no—
846C2×Dic67—81no—
847C2×Dic67—81no—
848C2×Dic67C22×D411yescharacteristic
849C2×Dic67C22×D411yescharacteristic
850C2×Dic67C22×D411yescharacteristic
851C2×Dic67C22×D411yescharacteristic
852C2×Dic67C22×D411yescharacteristic
853D268—22no—
854D268—21no—
855D268—21no—
856D268—21no—
857D268—21no—
858D268—21no—
859D268—21no—
860D268—21no—
861D268—41no—
862D268—42no—
863D268—42no—
864D268—42no—
865D268—42no—
866D268—42no—
867D268—81no—
868D268—81no—
869D268—81no—
870D268—81no—
871D268—81no—
872D268H(5,𝔽2)12yes—
873C4×D67—21no—
874C4×D67—21no—
875C4×D67—21no—
876C4×D67—21no—
877C4×D67—21no—
878C4×D67—21no—
879C4×D67—41no—
880C4×D67—41no—
881C4×D67—42no—
882C4×D67—42no—
883C4×D67—81no—
884C4×D67—81no—
885C4×D67—81no—
886C4×D67—81no—
887C4×D67—81no—
888C4×D67—81no—
889Dic134—21no—
890Dic134—21no—
891Dic134—21no—
892Dic134—21no—
893Dic134—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—41no—
916C22×C67—41no—
917C22×C67—41no—
918C22×C67—84no—
919C22×C67#57612yes—
920C22×C67C23×D411yescharacteristic
921C2×D67—21no—
922C2×D67—21no—
923C2×D67—21no—
924C2×D67—21no—
925C2×D67—22no—
926C2×D67—21no—
927C2×D67—21no—
928C2×D67—21no—
929C2×D67—21no—
930C2×D67—44no—
931C2×D67—41no—
932C2×D67—41no—
933C2×D67—41no—
934C2×D67—41no—
935C2×D67—41no—
936C2×D67—41no—
937C2×D67—41no—
938C2×D67—41no—
939C2×D67—41no—
940C2×D67—41no—
941C2×D67—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#57712yes—
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×C67C2×H(5,𝔽2)11yescharacteristic
961C4×C67C2×H(5,𝔽2)11yescharacteristic
962Dic67—21no—
963Dic67—21no—
964Dic67—21no—
965Dic67—21no—
966Dic67—21no—
967Dic67—41no—
968Dic67—41no—
969Dic67—41no—
970Dic67—41no—
971#61629—671nomaximal, Sylow
972C2×C67—22no—
973C2×C67—42no—
974C2×C67—41no—
975C2×C67—81no—
976C2×C67—81no—
977C2×C67#348411yescharacteristic
978C2×C67C2×#57611yescharacteristic
979C2×C67C2×#57711yescharacteristic
980D67—22no—
981D67—41no—
982D67—41no—
983D67—42no—
984D67—81no—
985D67—81no—
986D67—81no—
987#3536—671no—
988#3484—671no—
989#3314—671no—
990#3314—671no—
991#3306—671no—
992#3306D6711yescharacteristic, complemented
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#554—671no—
1033#548—671no—
1034#548—671no—
1035#547—671no—
1036#547C2×D6711yescharacteristic, complemented
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, complemented
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#484—671no—
1083#483C2×D6711yescharacteristic, complemented
1084#482—671no—
1085#482—671no—
1086#481—671no—
1087#481—671no—
1088#481C2×D6711yescharacteristic, complemented
1089#480—671no—
1090#480—671no—
1091#480—671no—
1092#476—671no—
1093#476C2×D6711yescharacteristic, complemented
1094#474—671no—
1095#474—671no—
1096#469—671no—
1097#469C2×D6711yescharacteristic, complemented
1098#468—671no—
1099#468—671no—
1100#467—671no—
1101#467—671no—
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#465C2×D6711yescharacteristic, complemented
1112#464—671no—
1113#464—671no—
1114#463—671no—
1115#463—671no—
1116#463—671no—
1117#463—671no—
1118#463—671no—
1119#463C2×D6711yescharacteristic, complemented
1120#460—671no—
1121#460—671no—
1122#459—671no—
1123#459—671no—
1124#452—671no—
1125#452—671no—
1126#452—671no—
1127#452—671no—
1128#451—671no—
1129#450—671no—
1130#450—671no—
1131#450—671no—
1132#450—671no—
1133#450—671no—
1134#450—671no—
1135#450—671no—
1136#450—671no—
1137#450—671no—
1138#450—671no—
1139#450—671no—
1140#449—671no—
1141#449—671no—
1142#449—671no—
1143#449—671no—
1144#449—671no—
1145#449—671no—
1146#449—671no—
1147#449C2×D6711yescharacteristic, complemented
1148#448—671no—
1149#447—671no—
1150#447—671no—
1151#447—671no—
1152#447—671no—
1153#447—671no—
1154#447—671no—
1155#447—671no—
1156#447—671no—
1157#447—671no—
1158#447—671no—
1159#447C2×D6711yescharacteristic, complemented
1160#442—671no—
1161#442C2×D6711yescharacteristic, complemented
1162#440—671no—
1163#440—671no—
1164C4×SD16—671no—
1165C4×SD16—671no—
1166C4×D8—671no—
1167C4×D8—671no—
1168#435—671no—
1169#435—671no—
1170#435—671no—
1171#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—21no—
1194C2×#41—671no—
1195C2×#41—671no—
1196C2×#41—671no—
1197C2×#41—671no—
1198C2×#41—671no—
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×Q16—671no—
1232C2×SD16—2682no—
1233C2×SD16—2682no—
1234C2×SD16—671no—
1235C2×SD16—671no—
1236C2×SD16—671no—
1237C2×SD16—671no—
1238C2×SD16—671no—
1239C2×SD16—671no—
1240C2×SD16—671no—
1241C2×SD16—671no—
1242C2×SD16—671no—
1243C2×SD16—671no—
1244C2×SD16—671no—
1245C2×SD16C22×D6711yescharacteristic, complemented
1246C2×D8—2682no—
1247C2×D8—2682no—
1248C2×D8—671no—
1249C2×D8—671no—
1250C2×D8—671no—
1251C2×D8—671no—
1252C2×D8—671no—
1253C2×D8—671no—
1254C2×D8—671no—
1255C2×D8—671no—
1256C2×D8C22×D6711yescharacteristic
1257C2×D8C22×D6711yescharacteristic
1258C2×M16—671no—
1259C2×M16C22×D6711yescharacteristic, complemented
1260C22×C8—671no—
1261C22×C8—671no—
1262C22×C8—671no—
1263C22×C8—671no—
1264C22×C8—671no—
1265C22×C8C22×D6711yescharacteristic
1266C4⋊Q8—671no—
1267C4⋊Q8C22×D6711yescharacteristic, complemented
1268#127—671no—
1269#127—671no—
1270#127—1341no—
1271#126—1341no—
1272#126—1341no—
1273#125—1341no—
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—21no—
1286#123—21no—
1287#123—671no—
1288#123—671no—
1289#123—1341no—
1290#123—1341no—
1291#123—1341no—
1292#123—1341no—
1293#123—1341no—
1294#123—1341no—
1295#123—1341no—
1296#123—1341no—
1297#123—1341no—
1298#123—1341no—
1299C22⋊Q8—21no—
1300C22⋊Q8—671no—
1301C22⋊Q8—671no—
1302C22⋊Q8—671no—
1303C22⋊Q8—671no—
1304C22⋊Q8—671no—
1305C22⋊Q8—671no—
1306C22⋊Q8—671no—
1307C22⋊Q8—671no—
1308C22⋊Q8—671no—
1309C22⋊Q8—1341no—
1310C22⋊Q8—1341no—
1311C22⋊Q8—1341no—
1312C22⋊Q8—1341no—
1313C22⋊Q8—1341no—
1314C22⋊Q8—1341no—
1315C22⋊Q8—1341no—
1316C22⋊Q8—1341no—
1317C22⋊Q8—1341no—
1318C22⋊Q8—1341no—
1319C22⋊Q8—1341no—
1320C22⋊Q8—1341no—
1321C22⋊Q8—1341no—
1322C22⋊Q8C22×D6711yescharacteristic
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—1341no—
1336#121—1341no—
1337#121—1341no—
1338#121—1341no—
1339#121—1341no—
1340#121—1341no—
1341#121—1341no—
1342#121—1341no—
1343#121—1341no—
1344#121—1341no—
1345#121—1341no—
1346#121—1341no—
1347#121—1341no—
1348#121—1341no—
1349#121—1341no—
1350#121—1341no—
1351#121—1341no—
1352#121—1341no—
1353#121—1341no—
1354#121—1341no—
1355#121—1341no—
1356#121C22×D6711yescharacteristic
1357#121C22×D6711yescharacteristic
1358#121C22×D6711yescharacteristic, complemented
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×Q8—671no—
1382C4×D4—671no—
1383C4×D4—671no—
1384C4×D4—671no—
1385C4×D4—671no—
1386C4×D4—671no—
1387C4×D4—671no—
1388C4×D4—671no—
1389C4×D4—1341no—
1390C4×D4—1341no—
1391C4×D4—1341no—
1392C4×D4—1341no—
1393C4×D4—1341no—
1394C4×D4—1341no—
1395C4×D4—1341no—
1396C4×D4—1341no—
1397C4×D4C22×D6711yescharacteristic
1398C4×D4C22×D6711yescharacteristic
1399C4×D4C22×D6711yescharacteristic, complemented
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#107—671no—
1419#107—671no—
1420#107—671no—
1421#106—671no—
1422#106C22×D6711yescharacteristic, complemented
1423#106C22×D6711yescharacteristic, complemented
1424#106C22×D6711yescharacteristic, complemented
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#103—671no—
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#102C22×D6711yescharacteristic
1455#102C22×D6711yescharacteristic
1456#102C22×D6711yescharacteristic
1457#102C22×D6711yescharacteristic
1458#102C22×D6711yescharacteristic
1459#102C22×D6711yescharacteristic
1460#102C22×D6711yescharacteristic, complemented
1461C22⋊C8—671no—
1462C22⋊C8—671no—
1463C22⋊C8—671no—
1464C22⋊C8—671no—
1465C22⋊C8—671no—
1466C22⋊C8—671no—
1467C22⋊C8—671no—
1468C22⋊C8—671no—
1469C22⋊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—82no—
1493#41—2681no—
1494#41—2681no—
1495#41—2681no—
1496#41—2681no—
1497#41—2684no—
1498#41—2681no—
1499#41—2681no—
1500#41—2681no—
1501#41—2681no—
1502#41—2681no—
1503#41—5362no—
1504#41—1342no—
1505C2×Q8—21no—
1506C2×Q8—2681no—
1507C2×Q8—2681no—
1508C2×Q8—671no—
1509C2×Q8—671no—
1510C2×Q8—671no—
1511C2×Q8—1341no—
1512C2×Q8—1341no—
1513C2×Q8C23×D6711yescharacteristic
1514C2×D4—22no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—41no—
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—2681no—
1535C2×D4—2681no—
1536C2×D4—5362no—
1537C2×D4—5362no—
1538C2×D4—5362no—
1539C2×D4—5362no—
1540C2×D4—5362no—
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—671no—
1551C2×D4—1341no—
1552C2×D4—1341no—
1553C2×D4—1341no—
1554C2×D4—1342no—
1555C2×D4—1342no—
1556C2×D4—1341no—
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—1342no—
1568C2×D4—1342no—
1569C2×D4—1341no—
1570C2×D4—1341no—
1571C2×D4—1342no—
1572C2×D4—1342no—
1573C2×D4—1341no—
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×D4D4×D6711yescharacteristic
1584C2×D4C23×D6711yescharacteristic
1585C2×D4C23×D6711yescharacteristic
1586C2×D4C23×D6711yescharacteristic
1587C22×C4—21no—
1588C22×C4—21no—
1589C22×C4—21no—
1590C22×C4—21no—
1591C22×C4—21no—
1592C22×C4—2681no—
1593C22×C4—2681no—
1594C22×C4—671no—
1595C22×C4—671no—
1596C22×C4—671no—
1597C22×C4—671no—
1598C22×C4—671no—
1599C22×C4—671no—
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—2681no—
1614Q16—2681no—
1615SD16—41no—
1616SD16—2681no—
1617SD16—2681no—
1618SD16—2681no—
1619SD16—2681no—
1620SD16—2681no—
1621SD16—2681no—
1622SD16—2681no—
1623SD16—1342no—
1624SD16—1342no—
1625SD16—1342no—
1626SD16—1342no—
1627D8—22no—
1628D8—41no—
1629D8—2681no—
1630D8—2681no—
1631D8—2681no—
1632D8—2681no—
1633D8—2681no—
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—671no—
1658C4⋊C4—671no—
1659C4⋊C4—671no—
1660C4⋊C4—671no—
1661C4⋊C4—671no—
1662C4⋊C4—671no—
1663C4⋊C4—671no—
1664C4⋊C4—1341no—
1665C4⋊C4—1341no—
1666C4⋊C4—1341no—
1667C4⋊C4—1341no—
1668C4⋊C4—1341no—
1669C4⋊C4—1341no—
1670C4⋊C4—1341no—
1671C4⋊C4—1341no—
1672C4⋊C4—1341no—
1673C4⋊C4—1341no—
1674C4⋊C4—1341no—
1675C4⋊C4—1341no—
1676C4⋊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—21no—
1689C22⋊C4—671no—
1690C22⋊C4—671no—
1691C22⋊C4—671no—
1692C22⋊C4—671no—
1693C22⋊C4—671no—
1694C22⋊C4—671no—
1695C22⋊C4—671no—
1696C22⋊C4—671no—
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—671no—
1727C42—1341no—
1728C42—1341no—
1729C42—1341no—
1730C42C23×D6711yescharacteristic
1731C23—21no—
1732C23—21no—
1733C23—21no—
1734C23—42no—
1735C23—42no—
1736C23—81no—
1737C23—2681no—
1738C23—2682no—
1739C23—2682no—
1740C23—2682no—
1741C23—2682no—
1742C23—2682no—
1743C23—2682no—
1744C23—2682no—
1745C23—2682no—
1746C23—2682no—
1747C23—2682no—
1748C23—5361no—
1749C23—5361no—
1750C23—5361no—
1751C23—5361no—
1752C23—5361no—
1753C23—5361no—
1754C23—5361no—
1755C23—5361no—
1756C23—5361no—
1757C23—5361no—
1758C23—5361no—
1759C23—5361no—
1760C23—5361no—
1761C23—53616no—
1762C23—671no—
1763C23—671no—
1764C23—671no—
1765C23—1342no—
1766C23—1344no—
1767C23—1341no—
1768C23—1341no—
1769C23—1341no—
1770C23—1342no—
1771C23—1341no—
1772C23C2×D4×D6711yescharacteristic
1773C23C2×D4×D6711yescharacteristic
1774Q8—21no—
1775Q8—21no—
1776Q8—81no—
1777Q8—2681no—
1778Q8—5361no—
1779Q8—5361no—
1780Q8—1341no—
1781Q8—1341no—
1782Q8—1341no—
1783Q8—1341no—
1784D4—22no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—42no—
1791D4—42no—
1792D4—42no—
1793D4—81no—
1794D4—81no—
1795D4—2682no—
1796D4—2682no—
1797D4—2681no—
1798D4—2682no—
1799D4—2682no—
1800D4—2682no—
1801D4—2682no—
1802D4—2682no—
1803D4—2682no—
1804D4—2682no—
1805D4—2681no—
1806D4—2681no—
1807D4—2682no—
1808D4—2682no—
1809D4—5361no—
1810D4—5361no—
1811D4—5361no—
1812D4—5361no—
1813D4—5361no—
1814D4—5361no—
1815D4—5361no—
1816D4—5361no—
1817D4—5361no—
1818D4—5361no—
1819D4—5361no—
1820D4—5361no—
1821D4—5361no—
1822D4—672no—
1823D4—1342no—
1824D4—1342no—
1825D4—1344no—
1826D4—1342no—
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—42no—
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—2681no—
1854C2×C4—5361no—
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—671no—
1864C2×C4—671no—
1865C2×C4—671no—
1866C2×C4—671no—
1867C2×C4—671no—
1868C2×C4—1341no—
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—41no—
1903C22—41no—
1904C22—41no—
1905C22—84no—
1906C22—2684no—
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#1686420012yes—
1937C22C22×D4×D6711yescharacteristic
1938C4—21no—
1939C4—21no—
1940C4—21no—
1941C4—21no—
1942C4—41no—
1943C4—41no—
1944C4—41no—
1945C4—41no—
1946C4—41no—
1947C4—2681no—
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—81no—
1963C2—2681no—
1964C2—2682no—
1965C2—2681no—
1966C2—5361no—
1967C2—5361no—
1968C2—5361no—
1969C2—1342no—
1970C2#2257383911yescharacteristic
1971C2C2×#1686420011yescharacteristic
1972C2#577×D6711yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3306C2
socleC22×C67C23×D4
hypercenter#3306D67
hypocenterC67#61629
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #22574432C2semidirect
2. #22573839C2semidirect
3. #22572291C2semidirect
4. #22572289C2semidirect
5. #22572168C2semidirect
6. #22572031C2semidirect
7. #22572030C2semidirect
8. #22572018C2semidirect
9. #22572016C2semidirect
10. #22571913C2semidirect
11. #22571912C2semidirect
12. #22571892C2semidirect
13. #22571889C2semidirect
14. #22571709C2semidirect
15. #22571708C2semidirect
16. #22571696C2semidirect
17. #22571691C2semidirect
18. #22571304C2semidirect
19. #22571302C2semidirect
20. #22571066C2semidirect
21. #22571056C2semidirect
22. #22570995C2semidirect
23. #22570975C2semidirect
24. #22570398C2semidirect
25. #22570391C2semidirect
26. #22569515C2semidirect
27. #22569511C2semidirect
28. C2×#16863548C2semidirect
29. #447×D67C2semidirect
30. #22569260C2semidirect
31. C67×#3306C2semidirect
32. C2×#14524089C22semidirect
34. C2×#14524071C22semidirect
35. C2×#14524067C22semidirect
36. C2×#14524064C22semidirect
37. C2×#14524063C22semidirect
38. C22×#11761617C22semidirect
39. C22×#11761616C22semidirect
40. C2×D8×D67C22semidirect
41. C2×D8×D67C22semidirect
44. #16864107C22semidirect
45. #16864101C22semidirect
46. #16864055C22semidirect
47. #16864052C22semidirect
48. #16864047C22semidirect
49. #16864043C22semidirect
50. #16864041C22semidirect
54. #16864037C22semidirect
59. D4×D268C22semidirect
62. D4×C22⋊D67C22semidirect
65. #16864020C22semidirect
66. #16864011C22semidirect
69. #16863977C22semidirect
70. #16863975C22semidirect
72. #16863964C22semidirect
73. #16863962C22semidirect
78. C2×#14524023C22semidirect
79. #121×D67C22semidirect
82. #16863868C22semidirect
83. #16863785C22semidirect
84. #16863784C22semidirect
85. #16863778C22semidirect
86. #16863777C22semidirect
87. #16863757C22semidirect
88. #16863744C22semidirect
89. #16863741C22semidirect
90. #16863740C22semidirect
91. #16863740C22semidirect
92. #16863730C22semidirect
93. #16863722C22semidirect
94. #16863718C22semidirect
95. #16863716C22semidirect
96. #16863716C22semidirect
97. #16863709C22semidirect
98. #16863709C22semidirect
99. #16863708C22semidirect
100. #16863685C22semidirect
101. #16863674C22semidirect
102. #16863673C22semidirect
103. #16863650C22semidirect
104. #16863642C22semidirect
105. #16863641C22semidirect
106. #16863636C22semidirect
107. #16863636C22semidirect
108. #16863632C22semidirect
109. #16863631C22semidirect
110. #16863630C22semidirect
111. #16863630C22semidirect
112. #16863627C22semidirect
113. #16863626C22semidirect
114. #16863626C22semidirect
115. #16863626C22semidirect
116. #16863623C22semidirect
117. #16863621C22semidirect
118. #16863615C22semidirect
119. #16863614C22semidirect
120. #16863612C22semidirect
121. #16863611C22semidirect
122. #16863610C22semidirect
123. #16863609C22semidirect
124. #16863597C22semidirect
125. #16863595C22semidirect
126. #16863591C22semidirect
127. #16863590C22semidirect
128. #16863561C22semidirect
129. #16863561C22semidirect
130. #16863561C22semidirect
131. #16863558C22semidirect
132. #16863551C22semidirect
133. #16863549C22semidirect
134. #16863548C22semidirect
135. #16863548C22semidirect
136. #16863548C22semidirect
137. #16863548C22semidirect
138. #16863548C22semidirect
139. #16863548C22semidirect
140. #16863548C22semidirect
141. #16863548C22semidirect
142. #16863548C22semidirect
143. #16863545C22semidirect
144. #16863544C22semidirect
145. #16863544C22semidirect
146. #16863543C22semidirect
147. #16863542C22semidirect
148. #16863540C22semidirect
149. #16863539C22semidirect
150. #16863538C22semidirect
151. #16863537C22semidirect
152. #16863532C22semidirect
154. #16863531C22semidirect
155. #16863531C22semidirect
156. #16863531C22semidirect
157. #16863530C22semidirect
158. #16863529C22semidirect
159. #16863529C22semidirect
161. #16863528C22semidirect
162. #16863507C22semidirect
163. #16863498C22semidirect
164. #16863493C22semidirect
165. #16863483C22semidirect
166. C4×#11761616C22semidirect
167. C4×#11761613C22semidirect
168. #16863476C22semidirect
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. #547×C67C22semidirect
189. #546×C67C22semidirect
190. #489×C67C22semidirect
191. #483×C67C22semidirect
192. #481×C67C22semidirect
193. #476×C67C22semidirect
194. #469×C67C22semidirect
195. #465×C67C22semidirect
196. #463×C67C22semidirect
197. #449×C67C22semidirect
198. #447×C67C22semidirect
199. #442×C67C22semidirect
200. #435×C67C22semidirect
201. #417×C67C22semidirect
202. C2×#102×C67C22semidirect
211. C2×#11761628C23semidirect
212. C2×#11761627C23semidirect
240. C2×#11761618C23semidirect
241. C2×#11761618C23semidirect
247. C2×#11761617C23semidirect
248. C2×#11761617C23semidirect
254. C2×#11761615C23semidirect
257. C2×D536C23semidirect
262. C2×#11761613C23semidirect
265. C2×#11761611C23semidirect
267. C22×C67⋊C8C23semidirect
270. C2×C8×D67C23semidirect
271. #14524042C23semidirect
281. #14524031C23semidirect
282. #14524030C23semidirect
306. #14524023C23semidirect
309. #14524022C23semidirect
327. #14524018C23semidirect
373. C4×Dic134C23semidirect
374. #14524008C23semidirect
382. #14524005C23semidirect
394. C4⋊C4×D67C23semidirect
404. #14523977C23semidirect
405. #14523976C23semidirect
406. #14523976C23semidirect
407. #14523976C23semidirect
408. #14523974C23semidirect
409. C4⋊(C67⋊C8)C23semidirect
410. Dic67⋊C8C23semidirect
411. Dic67⋊C8C23semidirect
412. #14523968C23semidirect
413. #14523968C23semidirect
414. #14523967C23semidirect
415. #14523966C23semidirect
416. #14523966C23semidirect
419. #14523965C23semidirect
420. #14523965C23semidirect
423. #14523964C23semidirect
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
450. C2×SD16×C67C23semidirect
453. C2×M16×C67C23semidirect
455. C4⋊Q8×C67C23semidirect
465. #121×C67C23semidirect
469. C4×D4×C67C23semidirect
471. C2×C4⋊C4×C67C23semidirect
473. #106×C67C23semidirect
474. #106×C67C23semidirect
475. #106×C67C23semidirect
476. C4⋊C8×C67C23semidirect
477. #103×C67C23semidirect
478. #103×C67C23semidirect
479. #103×C67C23semidirect
486. #102×C67C23semidirect
488. C22⋊C8×C67C23semidirect
489. #97×C67C23semidirect
992. #3306D67semidirect
1018. C67#61629semidirect
1036. #547C2×D67semidirect
1046. #546C2×D67semidirect
1077. #489C2×D67semidirect
1083. #483C2×D67semidirect
1088. #481C2×D67semidirect
1093. #476C2×D67semidirect
1097. #469C2×D67semidirect
1111. #465C2×D67semidirect
1119. #463C2×D67semidirect
1147. #449C2×D67semidirect
1159. #447C2×D67semidirect
1161. #442C2×D67semidirect
1171. #435C2×D67semidirect
1179. #417C2×D67semidirect
1185. C2×#102C2×D67semidirect
1245. C2×SD16C22×D67semidirect
1259. C2×M16C22×D67semidirect
1267. C4⋊Q8C22×D67semidirect
1358. #121C22×D67semidirect
1399. C4×D4C22×D67semidirect
1406. C2×C4⋊C4C22×D67semidirect
1422. #106C22×D67semidirect
1423. #106C22×D67semidirect
1424. #106C22×D67semidirect
1428. C4⋊C8C22×D67semidirect
1434. #103C22×D67semidirect
1435. #103C22×D67semidirect
1436. #103C22×D67semidirect
1460. #102C22×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
#225744322
#225738392
#225722912
#225722892
#225721682
#225720312
#225720302
#225720182
#225720162
#225719132
#225719122
#225718922
#225718892
#225717092
#225717082
#225716962
#225716912
#225713042
#225713022
#225710662
#225710562
#225709952
#225709752
#225703982
#225703912
#225695152
#225695112
C2×#168635482
#447×D672
#225692602
C67×#33062
#6162967