Finite Group Databasebeta

← #31741420

Subgroups — #31741420

Order 17152.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574503C211yesmaximal, characteristic, complemented
2#22573839C211yesmaximal, characteristic, complemented
3#22572437C211yesmaximal, characteristic, complemented
4#22572426C211yesmaximal, characteristic, complemented
5#22572346C211yesmaximal, characteristic, complemented
6#22572244C211yesmaximal, characteristic, complemented
7#22572228C211yesmaximal, characteristic, complemented
8#22572057C211yesmaximal, characteristic, complemented
9#22572027C211yesmaximal, characteristic, complemented
10#22571912C211yesmaximal, characteristic, complemented
11#22571903C211yesmaximal, characteristic, complemented
12#22571835C211yesmaximal, characteristic, complemented
13#22571806C211yesmaximal, characteristic, complemented
14#22571738C211yesmaximal, characteristic, complemented
15#22571716C211yesmaximal, characteristic, complemented
16#22571709C211yesmaximal, characteristic, complemented
17#22571706C211yesmaximal, characteristic, complemented
18#22571304C211yesmaximal, characteristic, complemented
19#22571278C211yesmaximal, characteristic, complemented
20#22571077C211yesmaximal, characteristic, complemented
21#22571068C211yesmaximal, characteristic, complemented
22#22571044C211yesmaximal, characteristic, complemented
23#22571003C211yesmaximal, characteristic, complemented
24#22570460C211yesmaximal, characteristic, complemented
25#22570400C211yesmaximal, characteristic, complemented
26#22569515C211yesmaximal, characteristic, complemented
27#22569483C211yesmaximal, characteristic, complemented
28#22569437C211yesmaximal, characteristic, complemented
29C2×#16863548C211yesmaximal, characteristic, complemented
30#22569258C211yesmaximal, characteristic, complemented
31C67×#3314C211yesmaximal, characteristic, complemented
32C2×#14524089C2211yescharacteristic
33C22×D4×D67C2211yescharacteristic
34C2×#14524075C2211yescharacteristic, complemented
35C2×#14524071C2211yescharacteristic, complemented
36C2×#14524070C2211yescharacteristic, complemented
37C2×#14524070C2211yescharacteristic, complemented
38C2×#14524063C2211yescharacteristic, complemented
39C22×#11761617C2211yescharacteristic, complemented
40C22×#11761616C2211yescharacteristic, complemented
41C2×SD16×D67C2211yescharacteristic, complemented
42#16864150—21no—
43#16864142—21no—
44#16864120C2211yescharacteristic, complemented
45#16864104—21no—
46#16864094C2211yescharacteristic, complemented
47#16864092—21no—
48#16864081C2211yescharacteristic, complemented
49#16864059C2211yescharacteristic, complemented
50#16864058C2211yescharacteristic, complemented
51#16864055C2211yescharacteristic, complemented
52#16864048C2211yescharacteristic, complemented
53#16864039C2211yescharacteristic
54#16864038—21no—
55#16864037C2211yescharacteristic
56#16864036—21no—
57#16864034C2211yescharacteristic
58D4×D268C2211yescharacteristic
59D4×D268C2211yescharacteristic
60#16864030—21no—
61#16864030C2211yescharacteristic
62D4×C22⋊D67C2211yescharacteristic
63#16864028—21no—
64#16864020C2211yescharacteristic, complemented
65#16864019—21no—
66#16864004C2211yescharacteristic, complemented
67#16863994—21no—
68#16863986—21no—
69#16863979—21no—
70#16863977C2211yescharacteristic, complemented
71#16863969C2211yescharacteristic, complemented
72#16863964C2211yescharacteristic
73#16863962C2211yescharacteristic
74#16863957—21no—
75#16863954—21no—
76#16863909C2211yescharacteristic
77#16863909C2211yescharacteristic, complemented
78#16863905C2211yescharacteristic
79C2×#14524023C2211yescharacteristic, complemented
80C2×#14524013—21no—
81#120×D67—21no—
82#16863868C2211yescharacteristic
83#16863789C2211yescharacteristic, complemented
84#16863785C2211yescharacteristic, complemented
85#16863778C2211yescharacteristic, complemented
86#16863767C2211yescharacteristic, complemented
87#16863759C2211yescharacteristic, complemented
88#16863752C2211yescharacteristic, complemented
89#16863744C2211yescharacteristic, complemented
90#16863739C2211yescharacteristic, complemented
91#16863739C2211yescharacteristic, complemented
92#16863736C2211yescharacteristic, complemented
93#16863736C2211yescharacteristic, complemented
94#16863723C2211yescharacteristic, complemented
95#16863723C2211yescharacteristic, complemented
96#16863723C2211yescharacteristic, complemented
97#16863718C2211yescharacteristic, complemented
98#16863714C2211yescharacteristic, complemented
99#16863714C2211yescharacteristic, complemented
100#16863699C2211yescharacteristic, complemented
101#16863694C2211yescharacteristic, complemented
102#16863683C2211yescharacteristic, complemented
103#16863653C2211yescharacteristic, complemented
104#16863653C2211yescharacteristic, complemented
105#16863648C2211yescharacteristic, complemented
106#16863643C2211yescharacteristic, complemented
107#16863643C2211yescharacteristic, complemented
108#16863643C2211yescharacteristic, complemented
109#16863642C2211yescharacteristic, complemented
110#16863633C2211yescharacteristic, complemented
111#16863632C2211yescharacteristic, complemented
112#16863627C2211yescharacteristic, complemented
113#16863627C2211yescharacteristic, complemented
114#16863627C2211yescharacteristic, complemented
115#16863624C2211yescharacteristic, complemented
116#16863623C2211yescharacteristic, complemented
117#16863621C2211yescharacteristic, complemented
118#16863615C2211yescharacteristic, complemented
119#16863614C2211yescharacteristic, complemented
120#16863612C2211yescharacteristic, complemented
121#16863611C2211yescharacteristic, complemented
122#16863600C2211yescharacteristic, complemented
123#16863599C2211yescharacteristic, complemented
124#16863597C2211yescharacteristic, complemented
125#16863596C2211yescharacteristic, complemented
126#16863595C2211yescharacteristic, complemented
127#16863590C2211yescharacteristic, complemented
128#16863561C2211yescharacteristic, complemented
129#16863561C2211yescharacteristic, complemented
130#16863561C2211yescharacteristic, complemented
131#16863558C2211yescharacteristic, complemented
132#16863557C2211yescharacteristic, complemented
133#16863557C2211yescharacteristic, complemented
134#16863551C2211yescharacteristic, complemented
135#16863549C2211yescharacteristic, complemented
136#16863548C2211yescharacteristic
137#16863548C2211yescharacteristic
138#16863548C2211yescharacteristic, complemented
139#16863548C2211yescharacteristic, complemented
140#16863548C2211yescharacteristic, complemented
141#16863548C2211yescharacteristic, complemented
142#16863548C2211yescharacteristic, complemented
143#16863548C2211yescharacteristic, complemented
144#16863548C2211yescharacteristic, complemented
145#16863546C2211yescharacteristic, complemented
146#16863546C2211yescharacteristic, complemented
147#16863545C2211yescharacteristic
148#16863545C2211yescharacteristic, complemented
149#16863544C2211yescharacteristic, complemented
150#16863544C2211yescharacteristic, complemented
151#16863544C2211yescharacteristic, complemented
152#16863543C2211yescharacteristic, complemented
153#16863539C2211yescharacteristic, complemented
154#16863537C2211yescharacteristic, complemented
155#16863536C2211yescharacteristic, complemented
156#16863533C2211yescharacteristic, complemented
157#16863532C2211yescharacteristic, complemented
158#16863531C2211yescharacteristic
159#16863531C2211yescharacteristic, complemented
160#16863531C2211yescharacteristic, complemented
161#16863530C2211yescharacteristic, complemented
162#16863505C2211yescharacteristic, complemented
163#16863498C2211yescharacteristic, complemented
164#16863495C2211yescharacteristic, complemented
165#16863487C2211yescharacteristic, complemented
166C4×#11761615C2211yescharacteristic, complemented
167C4×#11761616C2211yescharacteristic, complemented
168#16863478C2211yescharacteristic, complemented
169#16863473C2211yescharacteristic, complemented
170#16863472C2211yescharacteristic, complemented
171#16863469C2211yescharacteristic, complemented
172#16863467C2211yescharacteristic, complemented
173#16863464C2211yescharacteristic, complemented
174D4×C67⋊C8C2211yescharacteristic, complemented
175(C22⋊D67)⋊C8C2211yescharacteristic, complemented
176#16863458C2211yescharacteristic, complemented
177#16863456C2211yescharacteristic, complemented
178#16863399C2211yescharacteristic, complemented
179#16863399C2211yescharacteristic, complemented
180#16863399C2211yescharacteristic, complemented
181#16863391C2211yescharacteristic, complemented
182C2×#14523963C2211yescharacteristic, complemented
183C2×#14523963C2211yescharacteristic, complemented
184#16863364C2211yescharacteristic, complemented
185#16863361C2211yescharacteristic, complemented
186#16863358C2211yescharacteristic, complemented
187C2×(C2×D67)⋊C8C2211yescharacteristic, 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×#11761629C2311yescharacteristic
207C2×#11761629C2311yescharacteristic
208C2×#11761629C2311yescharacteristic
209C2×#11761628—21no—
210C2×#11761628C2311yescharacteristic
211C2×#11761628C2311yescharacteristic, complemented
212C22×Dic134C2311yescharacteristic
213C2×Q8×D67C2311yescharacteristic, complemented
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—42no—
227C2×D4×D67—42no—
228C2×D4×D67C2311yescharacteristic
229C2×D4×D67C2311yescharacteristic
230C2×D4×D67C2311yescharacteristic
231C2×D4×D67C2311yescharacteristic
232C2×D4×D67C2311yescharacteristic
233C22×C4×D67C2311yescharacteristic
234#14524075—42no—
235#14524071—42no—
236#14524070—42no—
237#14524070—42no—
238#14524063—42no—
239C2×#11761618C2311yescharacteristic, complemented
240C2×#11761618C2311yescharacteristic, complemented
241C2×#11761617—42no—
242C2×#11761617C2311yescharacteristic
243C2×#11761617C2311yescharacteristic
244C2×#11761617C2311yescharacteristic
245C2×#11761617C2311yescharacteristic
246C2×#11761617C2311yescharacteristic, complemented
247C2×#11761617C2311yescharacteristic, complemented
248C2×#11761616—42no—
249C2×#11761616C2311yescharacteristic
250C2×#11761616C2311yescharacteristic
251C2×#11761616C2311yescharacteristic
252C2×#11761616C2311yescharacteristic
253C2×#11761615C2311yescharacteristic
254C2×#11761615C2311yescharacteristic
255C2×#11761615C2311yescharacteristic, complemented
256C2×#11761615C2311yescharacteristic, complemented
257SD16×D67—42no—
258C2×D536C2311yescharacteristic
259C2×D536C2311yescharacteristic
260C2×D536C2311yescharacteristic, complemented
261C2×#11761613C2311yescharacteristic
262C2×#11761613C2311yescharacteristic
263C2×#11761611C2311yescharacteristic
264C2×#11761611C2311yescharacteristic
265C2×#11761611C2311yescharacteristic, complemented
266C22×C67⋊C8C2311yescharacteristic
267C22×C67⋊C8C2311yescharacteristic, complemented
268C2×C8×D67C2311yescharacteristic, complemented
269#14524042—21no—
270#14524042—21no—
271#14524041C2311yescharacteristic, complemented
272#14524040C2311yescharacteristic
273#14524039—21no—
274#14524039C2311yescharacteristic
275#14524038—21no—
276#14524038—21no—
277#14524038—21no—
278#14524038—21no—
279#14524038—21no—
280#14524038—21no—
281#14524037—21no—
282#14524035—21no—
283#14524034C2311yescharacteristic, complemented
284#14524033—21no—
285#14524033—21no—
286#14524032—21no—
287#14524032—21no—
288#14524032C2311yescharacteristic
289#14524031—21no—
290#14524031C2311yescharacteristic, complemented
291#14524029—21no—
292#14524029—21no—
293#14524029—21no—
294#14524028—21no—
295#14524028—21no—
296#14524028—21no—
297#14524028—21no—
298#14524028—21no—
299#14524028—21no—
300#14524028—21no—
301#14524028D411yescharacteristic
302#14524026—21no—
303#14524026—21no—
304#14524025—21no—
305#14524025—21no—
306#14524025—21no—
307#14524025D411yescharacteristic
308#14524023—21no—
309#14524023—21no—
310#14524023—21no—
311#14524023—21no—
312#14524023C2311yescharacteristic
313#14524023C2311yescharacteristic
314#14524023C2311yescharacteristic
315#14524023C2311yescharacteristic
316#14524023C2311yescharacteristic, complemented
317#14524022C2311yescharacteristic, complemented
318#14524021—21no—
319#14524021—21no—
320#14524021D411yescharacteristic
321#14524020—21no—
322#14524020D411yescharacteristic
323#14524019—21no—
324#14524019C2311yescharacteristic
325#14524019C2311yescharacteristic
326#14524018—21no—
327#14524018—21no—
328#14524018—21no—
329#14524018—21no—
330#14524018C2311yescharacteristic
331#14524018C2311yescharacteristic
332#14524018C2311yescharacteristic
333#14524018C2311yescharacteristic, complemented
334#14524017—21no—
335#14524017—21no—
336#14524017—21no—
337#14524017—21no—
338#14524017C2311yescharacteristic
339#14524017C2311yescharacteristic
340#14524017C2311yescharacteristic
341#14524016—21no—
342#14524016—21no—
343#14524016—21no—
344#14524016—21no—
345#14524016—21no—
346#14524016D411yescharacteristic
347#14524015—21no—
348#14524015—21no—
349#14524015—21no—
350#14524015D411yescharacteristic
351#14524014C2311yescharacteristic
352#14524013—21no—
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#14524013D411yescharacteristic
365#14524012—21no—
366#14524011—21no—
367#14524011—21no—
368#14524011—21no—
369#14524011—21no—
370#14524011D411yescharacteristic
371Q8×Dic67—21no—
372C4×Dic134C2311yescharacteristic, complemented
373#14524008C2311yescharacteristic, complemented
374C4×D268—21no—
375C4×D268C2311yescharacteristic
376C4×D268C2311yescharacteristic
377D4×Dic67C2311yescharacteristic
378#14524005—21no—
379#14524005—21no—
380#14524005C2311yescharacteristic
381#14524005C2311yescharacteristic, complemented
382C4×C22⋊D67—21no—
383C4×C22⋊D67—21no—
384C4×C22⋊D67C2311yescharacteristic
385C4×C22⋊D67C2311yescharacteristic
386(C22⋊D67)⋊C4—21no—
387(C22⋊D67)⋊C4—21no—
388(C22⋊D67)⋊C4—21no—
389(C22⋊D67)⋊C4—21no—
390(C22⋊D67)⋊C4—21no—
391#14524002—21no—
392#14524001C2311yescharacteristic
393#14524001C2311yescharacteristic
394#14524001C2311yescharacteristic, complemented
395#14524000C2311yescharacteristic
396C2×C4⋊Dic67—21no—
397C4⋊C4×D67—21no—
398C2×(C2×D67)⋊C4—21no—
399C2×(C2×D67)⋊C4—21no—
400C2×(C2×D67)⋊C4—21no—
401C22⋊C4×D67—21no—
402C22⋊C4×D67—21no—
403C22⋊C4×D67—21no—
404#14523977C2311yescharacteristic, complemented
405#14523974C2311yescharacteristic, 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#14523968C2311yescharacteristic, complemented
414#14523967C2311yescharacteristic, complemented
415#14523967C2311yescharacteristic, complemented
416#14523966C2311yescharacteristic, complemented
417#14523966C2311yescharacteristic, complemented
418#14523965C2311yescharacteristic
419#14523965C2311yescharacteristic
420#14523965C2311yescharacteristic, complemented
421#14523965C2311yescharacteristic, complemented
422#14523964C2311yescharacteristic
423#14523964C2311yescharacteristic
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×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—44no—
498C23×D67—82no—
499C23×D67—82no—
500C23×D67C2×D411yescharacteristic
501#11761629—22no—
502#11761629—41no—
503#11761629—41no—
504#11761629—41no—
505#11761629—41no—
506#11761629—41no—
507#11761628—41no—
508#11761628—41no—
509#11761628—41no—
510#11761628—41no—
511#11761628—44no—
512C2×Dic134—21no—
513C2×Dic134—21no—
514C2×Dic134—41no—
515C2×Dic134—41no—
516C2×Dic134C2×D411yescharacteristic
517C2×Dic134C2411yescharacteristic
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—41no—
535C2×D268—41no—
536C2×D268—44no—
537C2×D268—82no—
538C2×D268C2×D411yescharacteristic
539C2×D268C2×D411yescharacteristic
540C2×D268C2411yescharacteristic
541C2×D268C2411yescharacteristic
542C2×D268C2411yescharacteristic
543C2×D268C2411yescharacteristic
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—44no—
557C2×C22⋊D67—82no—
558C2×C22⋊D67C2×D411yescharacteristic
559C2×C22⋊D67C2×D411yescharacteristic
560C2×C22⋊D67C2×D411yescharacteristic
561C2×C22⋊D67C2×D411yescharacteristic
562D4×D67—22no—
563D4×D67—22no—
564D4×D67—22no—
565D4×D67—22no—
566D4×D67—22no—
567D4×D67—41no—
568D4×D67—41no—
569D4×D67—41no—
570D4×D67—41no—
571D4×D67—41no—
572D4×D67—44no—
573D4×D67—44no—
574D4×D67—44no—
575D4×D67—44no—
576D4×D67—82no—
577D4×D67—82no—
578C22×Dic67—21no—
579C22×Dic67—21no—
580C22×Dic67C2×D411yescharacteristic
581C2×C4×D67—21no—
582C2×C4×D67—21no—
583C2×C4×D67—21no—
584C2×C4×D67—21no—
585C2×C4×D67—21no—
586C2×C4×D67—21no—
587C2×C4×D67—21no—
588C2×C4×D67—21no—
589C2×C4×D67—41no—
590C2×C4×D67—41no—
591C2×C4×D67C2×D411yescharacteristic
592C2×C4×D67C2×D411yescharacteristic
593C2×C4×D67C2411yescharacteristic
594C2×C4×D67C2411yescharacteristic
595C2×C4×D67C2411yescharacteristic
596#11761618—41no—
597#11761618—41no—
598#11761617—22no—
599#11761617—22no—
600#11761617—41no—
601#11761617—41no—
602#11761617—41no—
603#11761617—41no—
604#11761616—22no—
605#11761616—22no—
606#11761616—41no—
607#11761616—41no—
608#11761615—22no—
609#11761615—41no—
610#11761615—41no—
611#11761615—41no—
612D536—22no—
613D536—41no—
614D536—41no—
615#11761613—22no—
616#11761613—41no—
617#11761611—41no—
618#11761611—41no—
619#11761611—41no—
620C2×C67⋊C8—41no—
621C2×C67⋊C8—41no—
622C2×C67⋊C8C2411yescharacteristic
623C2×C67⋊C8C2411yescharacteristic
624C2×C67⋊C8C2411yescharacteristic
625C2×C67⋊C8C2411yescharacteristic
626C8×D67—41no—
627C4⋊Dic67—21no—
628C4⋊Dic67—21no—
629C4⋊Dic67—21no—
630C4⋊Dic67—21no—
631C4⋊Dic67—21no—
632C4⋊Dic67—21no—
633C4⋊Dic67C2×D411yescharacteristic
634C4⋊Dic67C2411yescharacteristic
635C4⋊Dic67C2411yescharacteristic
636Dic67⋊C4—21no—
637Dic67⋊C4—21no—
638Dic67⋊C4—21no—
639Dic67⋊C4—21no—
640Dic67⋊C4—21no—
641Dic67⋊C4—21no—
642Dic67⋊C4—21no—
643Dic67⋊C4—21no—
644Dic67⋊C4C2×D411yescharacteristic
645Dic67⋊C4C2×D411yescharacteristic
646Dic67⋊C4C2×D411yescharacteristic
647Dic67⋊C4C2×D411yescharacteristic
648C22⋊Dic67—21no—
649C22⋊Dic67—21no—
650C22⋊Dic67—21no—
651C22⋊Dic67C2×D411yescharacteristic
652C22⋊Dic67C2×D411yescharacteristic
653(C2×D67)⋊C4—21no—
654(C2×D67)⋊C4—21no—
655(C2×D67)⋊C4—21no—
656(C2×D67)⋊C4—21no—
657(C2×D67)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
678(C2×D67)⋊C4C2×D411yescharacteristic
679(C2×D67)⋊C4C2×D411yescharacteristic
680(C2×D67)⋊C4C2×D411yescharacteristic
681(C2×D67)⋊C4C2×D411yescharacteristic
682(C2×D67)⋊C4C2×D411yescharacteristic
683C4×Dic67—21no—
684C4×Dic67—21no—
685C4×Dic67—21no—
686C4×Dic67—21no—
687C4×Dic67—21no—
688C4×Dic67C2411yescharacteristic
689C24×C67—21no—
690#41×C67—22no—
691#41×C67—41no—
692C2×Q8×C67—21no—
693C2×Q8×C67C2411yescharacteristic
694C2×Q8×C67C2411yescharacteristic
695C2×D4×C67—22no—
696C2×D4×C67—21no—
697C2×D4×C67—21no—
698C2×D4×C67—21no—
699C2×D4×C67—41no—
700C2×D4×C67C2×D411yescharacteristic
701C2×D4×C67C2411yescharacteristic
702C2×D4×C67C2411yescharacteristic
703C22×C4×C67—21no—
704C22×C4×C67—21no—
705C22×C4×C67—21no—
706C22×C4×C67—21no—
707C22×C4×C67C2411yescharacteristic
708C22×C4×C67C2411yescharacteristic
709Q16×C67—41no—
710SD16×C67—22no—
711SD16×C67—41no—
712M16×C67—41no—
713C2×C8×C67—41no—
714C2×C8×C67C2411yescharacteristic
715C2×C8×C67C2411yescharacteristic
716C2×C8×C67C2411yescharacteristic
717C2×C8×C67C2411yescharacteristic
718C4⋊C4×C67—21no—
719C4⋊C4×C67—21no—
720C4⋊C4×C67—21no—
721C4⋊C4×C67—21no—
722C4⋊C4×C67—21no—
723C4⋊C4×C67—21no—
724C4⋊C4×C67—21no—
725C4⋊C4×C67C2×D411yescharacteristic
726C4⋊C4×C67C2411yescharacteristic
727C4⋊C4×C67C2411yescharacteristic
728C4⋊C4×C67C2411yescharacteristic
729C4⋊C4×C67C2411yescharacteristic
730C22⋊C4×C67—21no—
731C22⋊C4×C67—21no—
732C22⋊C4×C67—21no—
733C22⋊C4×C67—21no—
734C22⋊C4×C67—21no—
735C22⋊C4×C67—21no—
736C22⋊C4×C67—21no—
737C22⋊C4×C67C2×D411yescharacteristic
738C22⋊C4×C67C2×D411yescharacteristic
739C42×C67—21no—
740C42×C67C2411yescharacteristic
741C23×C67—21no—
742C23×C67—21no—
743C23×C67—42no—
744C23×C67—42no—
745C23×C67—81no—
746C23×C67C22×D411yescharacteristic
747C23×C67C22×D411yescharacteristic
748C22×D67—22no—
749C22×D67—21no—
750C22×D67—24no—
751C22×D67—21no—
752C22×D67—21no—
753C22×D67—21no—
754C22×D67—41no—
755C22×D67—41no—
756C22×D67—42no—
757C22×D67—42no—
758C22×D67—42no—
759C22×D67—42no—
760C22×D67—42no—
761C22×D67—42no—
762C22×D67—42no—
763C22×D67—42no—
764C22×D67—42no—
765C22×D67—81no—
766C22×D67—81no—
767C22×D67—81no—
768C22×D67—81no—
769C22×D67—81no—
770C22×D67—81no—
771C22×D67—81no—
772C22×D67—81no—
773C22×D67—81no—
774C22×D67—81no—
775C22×D67—81no—
776C22×D67—816no—
777C22×D67C22×D411yescharacteristic
778C22×D67C22×D411yescharacteristic
779C22×D67C22×D411yescharacteristic
780Q8×C67—21no—
781Q8×C67—21no—
782Q8×C67—21no—
783Q8×C67—21no—
784Q8×C67—81no—
785D4×C67—22no—
786D4×C67—21no—
787D4×C67—21no—
788D4×C67—21no—
789D4×C67—42no—
790D4×C67—42no—
791D4×C67—81no—
792D4×C67H(5,𝔽2)12yes—
793C2×C4×C67—21no—
794C2×C4×C67—21no—
795C2×C4×C67—21no—
796C2×C4×C67—21no—
797C2×C4×C67—21no—
798C2×C4×C67—21no—
799C2×C4×C67—21no—
800C2×C4×C67—21no—
801C2×C4×C67—21no—
802C2×C4×C67—21no—
803C2×C4×C67—42no—
804C2×C4×C67—81no—
805C2×C4×C67—81no—
806C2×C4×C67—81no—
807C2×C4×C67C22×D411yescharacteristic
808C2×C4×C67C22×D411yescharacteristic
809C2×C4×C67C22×D411yescharacteristic
810C2×C4×C67C22×D411yescharacteristic
811C2×C4×C67C2511yescharacteristic
812C22⋊D67—24no—
813C22⋊D67—22no—
814C22⋊D67—41no—
815C22⋊D67—41no—
816C22⋊D67—41no—
817C22⋊D67—42no—
818C22⋊D67—42no—
819C22⋊D67—42no—
820C22⋊D67—42no—
821C22⋊D67—42no—
822C22⋊D67—42no—
823C22⋊D67—81no—
824C22⋊D67—81no—
825C22⋊D67—81no—
826C22⋊D67—81no—
827C22⋊D67—81no—
828C2×Dic67—21no—
829C2×Dic67—21no—
830C2×Dic67—21no—
831C2×Dic67—21no—
832C2×Dic67—41no—
833C2×Dic67—81no—
834C2×Dic67—81no—
835C2×Dic67C22×D411yescharacteristic
836C2×Dic67C22×D411yescharacteristic
837C2×Dic67C22×D411yescharacteristic
838C2×Dic67C22×D411yescharacteristic
839C2×Dic67C22×D411yescharacteristic
840D268—21no—
841D268—21no—
842D268—21no—
843D268—21no—
844D268—21no—
845D268—21no—
846D268—21no—
847D268—41no—
848D268—41no—
849D268—42no—
850D268—42no—
851D268—42no—
852D268—42no—
853D268—42no—
854D268—81no—
855D268—81no—
856D268—81no—
857D268—81no—
858D268—81no—
859D268—81no—
860D268H(5,𝔽2)12yes—
861C4×D67—21no—
862C4×D67—21no—
863C4×D67—21no—
864C4×D67—21no—
865C4×D67—21no—
866C4×D67—21no—
867C4×D67—41no—
868C4×D67—41no—
869C4×D67—42no—
870C4×D67—42no—
871C4×D67—81no—
872C4×D67—81no—
873C4×D67—81no—
874C4×D67—81no—
875C4×D67—81no—
876C4×D67—81no—
877Dic134—21no—
878Dic134—21no—
879Dic134—21no—
880Dic134—21no—
881Dic134—41no—
882Dic134—81no—
883Dic134—81no—
884C8×C67—21no—
885C8×C67—21no—
886C8×C67—21no—
887C8×C67—21no—
888C67⋊C8—21no—
889C67⋊C8—21no—
890C67⋊C8—21no—
891C67⋊C8—21no—
892C22×C67—21no—
893C22×C67—21no—
894C22×C67—21no—
895C22×C67—22no—
896C22×C67—21no—
897C22×C67—21no—
898C22×C67—41no—
899C22×C67—41no—
900C22×C67—41no—
901C22×C67—41no—
902C22×C67—41no—
903C22×C67—84no—
904C22×C67#57712yes—
905C22×C67C23×D411yescharacteristic
906C2×D67—21no—
907C2×D67—21no—
908C2×D67—21no—
909C2×D67—21no—
910C2×D67—21no—
911C2×D67—21no—
912C2×D67—22no—
913C2×D67—21no—
914C2×D67—21no—
915C2×D67—21no—
916C2×D67—44no—
917C2×D67—41no—
918C2×D67—41no—
919C2×D67—41no—
920C2×D67—41no—
921C2×D67—41no—
922C2×D67—41no—
923C2×D67—41no—
924C2×D67—41no—
925C2×D67—41no—
926C2×D67—41no—
927C2×D67—41no—
928C2×D67—84no—
929C2×D67—84no—
930C2×D67—84no—
931C2×D67—84no—
932C2×D67—84no—
933C2×D67—162no—
934C2×D67—162no—
935C4×C67—21no—
936C4×C67—21no—
937C4×C67—21no—
938C4×C67—21no—
939C4×C67—41no—
940C4×C67—41no—
941C4×C67—41no—
942C4×C67—41no—
943C4×C67—41no—
944C4×C67—41no—
945C4×C67C2×H(5,𝔽2)11yescharacteristic
946C4×C67C2×H(5,𝔽2)11yescharacteristic
947Dic67—21no—
948Dic67—21no—
949Dic67—21no—
950Dic67—21no—
951Dic67—21no—
952Dic67—41no—
953Dic67—41no—
954Dic67—41no—
955Dic67—41no—
956#61610—671nomaximal, Sylow
957C2×C67—22no—
958C2×C67—42no—
959C2×C67—41no—
960C2×C67—81no—
961C2×C67#348411yescharacteristic
962C2×C67C2×#57711yescharacteristic
963C2×C67#358511yescharacteristic
964D67—41no—
965D67—41no—
966D67—41no—
967D67—42no—
968D67—81no—
969D67—81no—
970D67—81no—
971#3541—671no—
972#3484—671no—
973#3324—671no—
974#3323—671no—
975#3318—671no—
976#3314D6711yescharacteristic, complemented
977#3311—671no—
978#3310—671no—
979#3297—671no—
980#3295—671no—
981#3282—671no—
982D4×SD16—671no—
983#3275—671no—
984#3272—671no—
985#3267—671no—
986#3266—671no—
987#3265—671no—
988#3265—671no—
989#3224—671no—
990#3222—671no—
991#3200—671no—
992#3198—671no—
993#3196—671no—
994#3191—671no—
995#3123—671no—
996#3118—671no—
997#3012—671no—
998#3009—671no—
999#3003—671no—
1000C2×#450—671no—
1001#2976—671no—
1002C67#6161011yescharacteristic, complemented, Sylow
1003C2×H(5,𝔽2)—671no—
1004C23×D4—671no—
1005C2×#137—671no—
1006C2×AGL(1,ℤ/8)—671no—
1007C2×AGL(1,ℤ/8)—671no—
1008C2×AGL(1,ℤ/8)—671no—
1009C2×#135—671no—
1010C22×SD16—671no—
1011C22×SD16—671no—
1012C22×SD16—671no—
1013#563—1341no—
1014#562—1341no—
1015#556—671no—
1016#554—1341no—
1017#554C2×D6711yescharacteristic, complemented
1018#553—671no—
1019#553—1341no—
1020#552—671no—
1021D4×Q8—671no—
1022#548—671no—
1023#548—671no—
1024#547—671no—
1025#546—671no—
1026#546—671no—
1027#546—671no—
1028#546—1341no—
1029#546—1341no—
1030#546C2×D6711yescharacteristic
1031D42—671no—
1032D42—671no—
1033D42—671no—
1034D42—671no—
1035D42—1341no—
1036D42—1341no—
1037#542—671no—
1038#542—1341no—
1039#541—671no—
1040#539—1341no—
1041#538—1341no—
1042#538—1341no—
1043#537—671no—
1044#536—671no—
1045#535—671no—
1046#535—671no—
1047#534—1341no—
1048#534—1341no—
1049#525—671no—
1050#525—671no—
1051#525—671no—
1052C2×C22⋊Q8—671no—
1053C2×#120—1341no—
1054C2×#120—1341no—
1055#518—671no—
1056#497—671no—
1057#496—671no—
1058#495—671no—
1059#492—671no—
1060#490—671no—
1061#489C2×D6711yescharacteristic, complemented
1062#488—671no—
1063#486—671no—
1064#485—671no—
1065#485—671no—
1066#485—671no—
1067#485—671no—
1068#484C2×D6711yescharacteristic, complemented
1069#482—671no—
1070#482—671no—
1071#482—671no—
1072#482—671no—
1073#481—671no—
1074#481—671no—
1075#480C2×D6711yescharacteristic, complemented
1076#478—671no—
1077#478—671no—
1078#476—671no—
1079#474C2×D6711yescharacteristic, complemented
1080#470—671no—
1081#470—671no—
1082#469—671no—
1083#468—671no—
1084#468—671no—
1085#468—671no—
1086#468—671no—
1087#468C2×D6711yescharacteristic, complemented
1088#467C2×D6711yescharacteristic, complemented
1089#466—671no—
1090#466—671no—
1091#465—671no—
1092#465—671no—
1093#465—671no—
1094#465—671no—
1095#465—671no—
1096#464—671no—
1097#464—671no—
1098#464C2×D6711yescharacteristic, complemented
1099#463—671no—
1100#463—671no—
1101#463—671no—
1102#461—671no—
1103#461—671no—
1104#460—671no—
1105#460—671no—
1106#460—671no—
1107#459—671no—
1108#452—671no—
1109#452—671no—
1110#452—671no—
1111#452—671no—
1112#452—671no—
1113#452—671no—
1114#452C2×D6711yescharacteristic, complemented
1115#451—671no—
1116#450—671no—
1117#450—671no—
1118#450—671no—
1119#450—671no—
1120#450—671no—
1121#450—671no—
1122#450—671no—
1123#450—671no—
1124#450—671no—
1125#450—671no—
1126#450—671no—
1127#450—671no—
1128#450—671no—
1129#450—671no—
1130#450C2×D6711yescharacteristic, complemented
1131#449—671no—
1132#449—671no—
1133#449—671no—
1134#449—671no—
1135#449—671no—
1136#448—671no—
1137#448—671no—
1138#448—671no—
1139#447—671no—
1140#447—671no—
1141#447—671no—
1142#447—671no—
1143#447—671no—
1144#442—671no—
1145#440—671no—
1146#440—671no—
1147#440C2×D6711yescharacteristic, complemented
1148C4×SD16—671no—
1149C4×SD16—671no—
1150C4×SD16—671no—
1151C4×D8—671no—
1152#436—671no—
1153#436—671no—
1154#435—671no—
1155#435—671no—
1156#435—671no—
1157#435C2×D6711yescharacteristic, complemented
1158C8×D4—671no—
1159C8×D4—671no—
1160#433—671no—
1161#433—671no—
1162#418—671no—
1163#418—671no—
1164#418—671no—
1165#417C2×D6711yescharacteristic, complemented
1166#416—671no—
1167C2×#102—671no—
1168C2×#102—671no—
1169C2×#102C2×D6711yescharacteristic, complemented
1170#408—671no—
1171#408—671no—
1172#407—671no—
1173C2×C22⋊C8—671no—
1174C25—1341no—
1175H(5,𝔽2)—2682no—
1176H(5,𝔽2)—2682no—
1177C2×#41—671no—
1178C2×#41—671no—
1179C2×#41—671no—
1180C2×#41—671no—
1181C2×#41—671no—
1182C2×#41—1341no—
1183C2×#41C22×D6711yescharacteristic
1184C22×Q8—671no—
1185C22×Q8—671no—
1186C22×D4—2682no—
1187C22×D4—2682no—
1188C22×D4—671no—
1189C22×D4—671no—
1190C22×D4—671no—
1191C22×D4—671no—
1192C22×D4—671no—
1193C22×D4—671no—
1194C22×D4—671no—
1195C22×D4—1341no—
1196C22×D4—1341no—
1197C22×D4—1341no—
1198C22×D4—1341no—
1199C22×D4—1341no—
1200C22×D4—1341no—
1201C22×D4—1341no—
1202C22×D4—1341no—
1203C22×D4—1341no—
1204C22×D4—1341no—
1205C22×D4C22×D6711yescharacteristic
1206C23×C4—671no—
1207#137—2682no—
1208AGL(1,ℤ/8)—2682no—
1209AGL(1,ℤ/8)—2682no—
1210AGL(1,ℤ/8)—2682no—
1211#135—2682no—
1212C2×Q16—671no—
1213C2×Q16—671no—
1214C2×Q16C22×D6711yescharacteristic, complemented
1215C2×SD16—2682no—
1216C2×SD16—2682no—
1217C2×SD16—2682no—
1218C2×SD16—671no—
1219C2×SD16—671no—
1220C2×SD16—671no—
1221C2×SD16—671no—
1222C2×SD16—671no—
1223C2×SD16—671no—
1224C2×SD16—671no—
1225C2×SD16—671no—
1226C2×SD16—671no—
1227C2×SD16—671no—
1228C2×SD16—671no—
1229C2×SD16—671no—
1230C2×SD16—671no—
1231C2×SD16—671no—
1232C2×SD16C22×D6711yescharacteristic
1233C2×SD16C22×D6711yescharacteristic
1234C2×D8—671no—
1235C2×D8—671no—
1236C2×D8—671no—
1237C2×D8—671no—
1238C2×D8—671no—
1239C2×M16—671no—
1240C2×M16—671no—
1241C2×M16—671no—
1242C2×M16C22×D6711yescharacteristic, complemented
1243C22×C8—671no—
1244C22×C8—671no—
1245C22×C8—671no—
1246C22×C8C22×D6711yescharacteristic
1247C4⋊Q8—671no—
1248C4⋊Q8—1341no—
1249C4⋊Q8—1341no—
1250C4⋊Q8C22×D6711yescharacteristic, complemented
1251#127—671no—
1252#127—671no—
1253#127—1341no—
1254#126—1341no—
1255#126—1341no—
1256#126—1341no—
1257#126—1341no—
1258#126—1341no—
1259#126—1341no—
1260#126—1341no—
1261#125—21no—
1262#125—671no—
1263#125—1341no—
1264#125—1341no—
1265#125—1341no—
1266#124—671no—
1267#124—671no—
1268#124—1341no—
1269#124—1341no—
1270#124—1341no—
1271#124—1341no—
1272#124—1341no—
1273#124—1341no—
1274#124C22×D6711yescharacteristic
1275#123—21no—
1276#123—671no—
1277#123—671no—
1278#123—1341no—
1279#123—1341no—
1280#123—1341no—
1281#123—1341no—
1282#123—1341no—
1283#123—1341no—
1284#123—1341no—
1285#123—1341no—
1286#123—1341no—
1287#123—1341no—
1288#123—1341no—
1289#123—1341no—
1290C22⋊Q8—21no—
1291C22⋊Q8—21no—
1292C22⋊Q8—671no—
1293C22⋊Q8—671no—
1294C22⋊Q8—671no—
1295C22⋊Q8—671no—
1296C22⋊Q8—671no—
1297C22⋊Q8—671no—
1298C22⋊Q8—671no—
1299C22⋊Q8—671no—
1300C22⋊Q8—671no—
1301C22⋊Q8—671no—
1302C22⋊Q8—1341no—
1303C22⋊Q8—1341no—
1304C22⋊Q8—1341no—
1305C22⋊Q8—1341no—
1306C22⋊Q8—1341no—
1307C22⋊Q8—1341no—
1308C22⋊Q8—1341no—
1309C22⋊Q8—1341no—
1310C22⋊Q8C22×D6711yescharacteristic
1311C22⋊Q8C22×D6711yescharacteristic
1312C22⋊Q8C22×D6711yescharacteristic, complemented
1313#121—21no—
1314#121—671no—
1315#121—671no—
1316#121—671no—
1317#121—671no—
1318#121—671no—
1319#121—671no—
1320#121—671no—
1321#121—671no—
1322#121—671no—
1323#121—671no—
1324#121—1341no—
1325#121—1341no—
1326#121—1341no—
1327#121—1341no—
1328#121—1341no—
1329#121—1341no—
1330#121—1341no—
1331#121—1341no—
1332#121—1341no—
1333#121—1341no—
1334#121—1341no—
1335#121—1341no—
1336#121—1341no—
1337#121—1341no—
1338#121—1341no—
1339#121—1341no—
1340#121C22×D6711yescharacteristic
1341#120—21no—
1342#120—671no—
1343#120—671no—
1344#120—1341no—
1345#120—1341no—
1346#120—1341no—
1347#120—1341no—
1348#120—1341no—
1349#120—1341no—
1350#120—1341no—
1351#120—1341no—
1352#120—1341no—
1353#120—1341no—
1354#120—1341no—
1355#120—1341no—
1356#120—1341no—
1357#120—1341no—
1358#120—1341no—
1359#120—1341no—
1360#120—1341no—
1361C4×Q8—671no—
1362C4×Q8—671no—
1363C4×Q8—1341no—
1364C4×Q8C22×D6711yescharacteristic, complemented
1365C4×D4—21no—
1366C4×D4—671no—
1367C4×D4—671no—
1368C4×D4—671no—
1369C4×D4—671no—
1370C4×D4—671no—
1371C4×D4—671no—
1372C4×D4—671no—
1373C4×D4—1341no—
1374C4×D4—1341no—
1375C4×D4—1341no—
1376C4×D4—1341no—
1377C4×D4—1341no—
1378C4×D4—1341no—
1379C4×D4—1341no—
1380C4×D4—1341no—
1381C4×D4—1341no—
1382C4×D4—1341no—
1383C4×D4C22×D6711yescharacteristic
1384C4×D4C22×D6711yescharacteristic
1385#117—671no—
1386#117—671no—
1387#117—671no—
1388#117—671no—
1389#117—1341no—
1390C2×C4⋊C4—1341no—
1391C2×C4⋊C4—1341no—
1392C2×C4⋊C4C22×D6711yescharacteristic
1393C2×C4⋊C4C22×D6711yescharacteristic, complemented
1394C2×C22⋊C4—21no—
1395C2×C22⋊C4—1341no—
1396C2×C22⋊C4—1341no—
1397C2×C22⋊C4—1341no—
1398C2×C22⋊C4—1341no—
1399C2×C22⋊C4—1341no—
1400C2×C22⋊C4—1341no—
1401#107—671no—
1402#107C22×D6711yescharacteristic, complemented
1403#107C22×D6711yescharacteristic, complemented
1404#107C22×D6711yescharacteristic, complemented
1405#106—671no—
1406#106—671no—
1407#106—671no—
1408#106—671no—
1409C4⋊C8—671no—
1410C4⋊C8—671no—
1411C4⋊C8—671no—
1412C4⋊C8C22×D6711yescharacteristic, complemented
1413#103—671no—
1414#103—671no—
1415#103—671no—
1416#103—671no—
1417#103—671no—
1418#103—671no—
1419#103C22×D6711yescharacteristic, complemented
1420#103C22×D6711yescharacteristic, complemented
1421#103C22×D6711yescharacteristic, complemented
1422#103C22×D6711yescharacteristic, complemented
1423#102—671no—
1424#102—671no—
1425#102—671no—
1426#102—671no—
1427#102—671no—
1428#102—671no—
1429#102—671no—
1430#102—671no—
1431#102—671no—
1432#102—671no—
1433#102—671no—
1434#102—671no—
1435#102—671no—
1436#102—671no—
1437#102—671no—
1438#102—671no—
1439#102C22×D6711yescharacteristic
1440#102C22×D6711yescharacteristic
1441#102C22×D6711yescharacteristic
1442#102C22×D6711yescharacteristic
1443#102C22×D6711yescharacteristic
1444#102C22×D6711yescharacteristic
1445C22⋊C8—671no—
1446C22⋊C8—671no—
1447C22⋊C8—671no—
1448C22⋊C8—671no—
1449C22⋊C8—671no—
1450C22⋊C8—671no—
1451C22⋊C8—671no—
1452C22⋊C8—671no—
1453C22⋊C8—671no—
1454C22⋊C8—671no—
1455C22⋊C8C22×D6711yescharacteristic
1456C22⋊C8C22×D6711yescharacteristic, complemented
1457#97—671no—
1458#97C22×D6711yescharacteristic, complemented
1459C4×C8—671no—
1460C4×C8—671no—
1461C24—21no—
1462C24—2684no—
1463C24—5362no—
1464C24—5362no—
1465C24—671no—
1466C24—1341no—
1467C24—1341no—
1468C24—1341no—
1469C24—1341no—
1470C24—1341no—
1471C24—1341no—
1472C24—1341no—
1473#41—22no—
1474#41—41no—
1475#41—2681no—
1476#41—2681no—
1477#41—2681no—
1478#41—2681no—
1479#41—2684no—
1480#41—2681no—
1481#41—2681no—
1482#41—2681no—
1483#41—2681no—
1484#41—2681no—
1485#41—1342no—
1486C2×Q8—21no—
1487C2×Q8—2681no—
1488C2×Q8—2681no—
1489C2×Q8—2681no—
1490C2×Q8—2681no—
1491C2×Q8—671no—
1492C2×Q8—671no—
1493C2×Q8—671no—
1494C2×Q8—1341no—
1495C2×Q8—1341no—
1496C2×Q8C23×D6711yescharacteristic
1497C2×Q8C23×D6711yescharacteristic
1498C2×D4—22no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—41no—
1503C2×D4—2681no—
1504C2×D4—2681no—
1505C2×D4—2684no—
1506C2×D4—2684no—
1507C2×D4—2684no—
1508C2×D4—2684no—
1509C2×D4—2684no—
1510C2×D4—2684no—
1511C2×D4—2681no—
1512C2×D4—2681no—
1513C2×D4—2681no—
1514C2×D4—2681no—
1515C2×D4—2681no—
1516C2×D4—5362no—
1517C2×D4—5362no—
1518C2×D4—5362no—
1519C2×D4—5362no—
1520C2×D4—671no—
1521C2×D4—671no—
1522C2×D4—671no—
1523C2×D4—671no—
1524C2×D4—671no—
1525C2×D4—671no—
1526C2×D4—671no—
1527C2×D4—671no—
1528C2×D4—671no—
1529C2×D4—671no—
1530C2×D4—1341no—
1531C2×D4—1341no—
1532C2×D4—1341no—
1533C2×D4—1342no—
1534C2×D4—1342no—
1535C2×D4—1341no—
1536C2×D4—1341no—
1537C2×D4—1341no—
1538C2×D4—1341no—
1539C2×D4—1341no—
1540C2×D4—1341no—
1541C2×D4—1341no—
1542C2×D4—1341no—
1543C2×D4—1341no—
1544C2×D4—1341no—
1545C2×D4—1341no—
1546C2×D4—1342no—
1547C2×D4—1342no—
1548C2×D4—1341no—
1549C2×D4—1341no—
1550C2×D4—1342no—
1551C2×D4—1342no—
1552C2×D4—1341no—
1553C2×D4—1341no—
1554C2×D4—1341no—
1555C2×D4—1342no—
1556C2×D4—1341no—
1557C2×D4—1341no—
1558C2×D4—1341no—
1559C2×D4—1341no—
1560C2×D4D4×D6711yescharacteristic
1561C2×D4C23×D6711yescharacteristic
1562C2×D4C23×D6711yescharacteristic
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—21no—
1567C22×C4—2681no—
1568C22×C4—2681no—
1569C22×C4—671no—
1570C22×C4—671no—
1571C22×C4—671no—
1572C22×C4—671no—
1573C22×C4—671no—
1574C22×C4—671no—
1575C22×C4—1341no—
1576C22×C4—1341no—
1577C22×C4—1341no—
1578C22×C4—1341no—
1579C22×C4—1341no—
1580C22×C4—1341no—
1581C22×C4—1341no—
1582C22×C4—1341no—
1583C22×C4—1341no—
1584C22×C4—1341no—
1585C22×C4C23×D6711yescharacteristic
1586C22×C4C23×D6711yescharacteristic
1587Q16—41no—
1588Q16—2681no—
1589Q16—2681no—
1590SD16—22no—
1591SD16—41no—
1592SD16—2681no—
1593SD16—2681no—
1594SD16—2681no—
1595SD16—2681no—
1596SD16—2681no—
1597SD16—2681no—
1598SD16—2681no—
1599SD16—2681no—
1600SD16—2681no—
1601SD16—1342no—
1602SD16—1342no—
1603SD16—1342no—
1604SD16—1342no—
1605SD16—1342no—
1606D8—2681no—
1607D8—2681no—
1608D8—2681no—
1609D8—1342no—
1610D8—1342no—
1611M16—41no—
1612M16—2681no—
1613M16—2681no—
1614M16—2681no—
1615C2×C8—41no—
1616C2×C8—2681no—
1617C2×C8—2681no—
1618C2×C8—2681no—
1619C2×C8—671no—
1620C2×C8—671no—
1621C2×C8—671no—
1622C2×C8—671no—
1623C2×C8C23×D6711yescharacteristic
1624C2×C8C23×D6711yescharacteristic
1625C2×C8C23×D6711yescharacteristic
1626C2×C8C23×D6711yescharacteristic
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—21no—
1633C4⋊C4—21no—
1634C4⋊C4—671no—
1635C4⋊C4—671no—
1636C4⋊C4—671no—
1637C4⋊C4—671no—
1638C4⋊C4—671no—
1639C4⋊C4—671no—
1640C4⋊C4—671no—
1641C4⋊C4—1341no—
1642C4⋊C4—1341no—
1643C4⋊C4—1341no—
1644C4⋊C4—1341no—
1645C4⋊C4—1341no—
1646C4⋊C4—1341no—
1647C4⋊C4—1341no—
1648C4⋊C4—1341no—
1649C4⋊C4—1341no—
1650C4⋊C4—1341no—
1651C4⋊C4—1341no—
1652C4⋊C4—1341no—
1653C4⋊C4—1341no—
1654C4⋊C4—1341no—
1655C4⋊C4D4×D6711yescharacteristic
1656C4⋊C4C23×D6711yescharacteristic
1657C4⋊C4C23×D6711yescharacteristic
1658C4⋊C4C23×D6711yescharacteristic
1659C4⋊C4C23×D6711yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—671no—
1668C22⋊C4—671no—
1669C22⋊C4—671no—
1670C22⋊C4—671no—
1671C22⋊C4—671no—
1672C22⋊C4—671no—
1673C22⋊C4—671no—
1674C22⋊C4—671no—
1675C22⋊C4—1341no—
1676C22⋊C4—1341no—
1677C22⋊C4—1341no—
1678C22⋊C4—1341no—
1679C22⋊C4—1341no—
1680C22⋊C4—1341no—
1681C22⋊C4—1341no—
1682C22⋊C4—1341no—
1683C22⋊C4—1341no—
1684C22⋊C4—1341no—
1685C22⋊C4—1341no—
1686C22⋊C4—1341no—
1687C22⋊C4—1341no—
1688C22⋊C4—1341no—
1689C22⋊C4—1341no—
1690C22⋊C4—1341no—
1691C22⋊C4—1341no—
1692C22⋊C4—1341no—
1693C22⋊C4—1341no—
1694C22⋊C4—1341no—
1695C22⋊C4—1341no—
1696C22⋊C4—1341no—
1697C22⋊C4—1341no—
1698C22⋊C4—1341no—
1699C22⋊C4—1341no—
1700C22⋊C4—1341no—
1701C22⋊C4—1341no—
1702C22⋊C4D4×D6711yescharacteristic
1703C22⋊C4D4×D6711yescharacteristic
1704C42—21no—
1705C42—671no—
1706C42—1341no—
1707C42—1341no—
1708C42—1341no—
1709C42—1341no—
1710C42—1341no—
1711C42C23×D6711yescharacteristic
1712C23—21no—
1713C23—21no—
1714C23—42no—
1715C23—42no—
1716C23—81no—
1717C23—2681no—
1718C23—2681no—
1719C23—2682no—
1720C23—2682no—
1721C23—2682no—
1722C23—2682no—
1723C23—2682no—
1724C23—2682no—
1725C23—2682no—
1726C23—2682no—
1727C23—2682no—
1728C23—5361no—
1729C23—5361no—
1730C23—5361no—
1731C23—5361no—
1732C23—5361no—
1733C23—5361no—
1734C23—5361no—
1735C23—5361no—
1736C23—5361no—
1737C23—5361no—
1738C23—5361no—
1739C23—53616no—
1740C23—671no—
1741C23—671no—
1742C23—671no—
1743C23—1344no—
1744C23—1341no—
1745C23—1341no—
1746C23—1341no—
1747C23—1342no—
1748C23—1341no—
1749C23C2×D4×D6711yescharacteristic
1750C23C2×D4×D6711yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—81no—
1756Q8—2681no—
1757Q8—5361no—
1758Q8—5361no—
1759Q8—1341no—
1760Q8—1341no—
1761Q8—1341no—
1762Q8—1341no—
1763D4—22no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—42no—
1768D4—42no—
1769D4—81no—
1770D4—2682no—
1771D4—2682no—
1772D4—2681no—
1773D4—2681no—
1774D4—2682no—
1775D4—2682no—
1776D4—2682no—
1777D4—2682no—
1778D4—2682no—
1779D4—2682no—
1780D4—2682no—
1781D4—2681no—
1782D4—2681no—
1783D4—2681no—
1784D4—2682no—
1785D4—2682no—
1786D4—5361no—
1787D4—5361no—
1788D4—5361no—
1789D4—5361no—
1790D4—5361no—
1791D4—5361no—
1792D4—5361no—
1793D4—5361no—
1794D4—5361no—
1795D4—5361no—
1796D4—5361no—
1797D4—672no—
1798D4—1344no—
1799D4—1342no—
1800D4—1341no—
1801D4—1341no—
1802D4—1341no—
1803D4—1341no—
1804D4—1341no—
1805D4—1341no—
1806D4—1341no—
1807D4#1452408912yes—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—42no—
1819C2×C4—81no—
1820C2×C4—81no—
1821C2×C4—81no—
1822C2×C4—2681no—
1823C2×C4—2681no—
1824C2×C4—2682no—
1825C2×C4—2682no—
1826C2×C4—2681no—
1827C2×C4—5361no—
1828C2×C4—5361no—
1829C2×C4—5361no—
1830C2×C4—5361no—
1831C2×C4—5361no—
1832C2×C4—5361no—
1833C2×C4—5361no—
1834C2×C4—5361no—
1835C2×C4—671no—
1836C2×C4—671no—
1837C2×C4—671no—
1838C2×C4—671no—
1839C2×C4—671no—
1840C2×C4—1341no—
1841C2×C4—1341no—
1842C2×C4—1341no—
1843C2×C4—1341no—
1844C2×C4—1341no—
1845C2×C4—1341no—
1846C2×C4—1341no—
1847C2×C4—1341no—
1848C2×C4—1341no—
1849C2×C4—1341no—
1850C2×C4C2×D4×D6711yescharacteristic
1851C2×C4C2×D4×D6711yescharacteristic
1852C2×C4C2×D4×D6711yescharacteristic
1853C2×C4C2×D4×D6711yescharacteristic
1854C2×C4C24×D6711yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—1341no—
1860C8—1341no—
1861C8—1341no—
1862C8—1341no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—22no—
1867C22—21no—
1868C22—21no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—84no—
1875C22—2684no—
1876C22—2681no—
1877C22—2681no—
1878C22—2681no—
1879C22—2681no—
1880C22—2681no—
1881C22—2681no—
1882C22—2681no—
1883C22—2681no—
1884C22—2681no—
1885C22—2681no—
1886C22—2681no—
1887C22—5364no—
1888C22—5364no—
1889C22—5364no—
1890C22—5364no—
1891C22—5364no—
1892C22—10722no—
1893C22—10722no—
1894C22—1341no—
1895C22—1341no—
1896C22—1342no—
1897C22—1341no—
1898C22—1341no—
1899C22—1341no—
1900C22—1341no—
1901C22—1341no—
1902C22—1341no—
1903C22—1341no—
1904C22#1686420512yes—
1905C22C22×D4×D6711yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—41no—
1916C4—2681no—
1917C4—2681no—
1918C4—2681no—
1919C4—2681no—
1920C4—1341no—
1921C4—1341no—
1922C4—1341no—
1923C4—1341no—
1924C4—1341no—
1925C4H(5,𝔽2)×D6711yescharacteristic
1926C4C2×#1452408911yescharacteristic
1927C2—22no—
1928C2—41no—
1929C2—42no—
1930C2—81no—
1931C2—2681no—
1932C2—2681no—
1933C2—2682no—
1934C2—2681no—
1935C2—5361no—
1936C2—5361no—
1937C2—5361no—
1938C2#2257383911yescharacteristic
1939C2C2×#1686420511yescharacteristic
1940C2#2257498411yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3314C2
socleC22×C67C23×D4
hypercenter#3314D67
hypocenterC67#61610
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. #22574503C2semidirect
2. #22573839C2semidirect
3. #22572437C2semidirect
4. #22572426C2semidirect
5. #22572346C2semidirect
6. #22572244C2semidirect
7. #22572228C2semidirect
8. #22572057C2semidirect
9. #22572027C2semidirect
10. #22571912C2semidirect
11. #22571903C2semidirect
12. #22571835C2semidirect
13. #22571806C2semidirect
14. #22571738C2semidirect
15. #22571716C2semidirect
16. #22571709C2semidirect
17. #22571706C2semidirect
18. #22571304C2semidirect
19. #22571278C2semidirect
20. #22571077C2semidirect
21. #22571068C2semidirect
22. #22571044C2semidirect
23. #22571003C2semidirect
24. #22570460C2semidirect
25. #22570400C2semidirect
26. #22569515C2semidirect
27. #22569483C2semidirect
28. #22569437C2semidirect
29. C2×#16863548C2semidirect
30. #22569258C2semidirect
31. C67×#3314C2semidirect
34. C2×#14524075C22semidirect
35. C2×#14524071C22semidirect
36. C2×#14524070C22semidirect
37. C2×#14524070C22semidirect
38. C2×#14524063C22semidirect
39. C22×#11761617C22semidirect
40. C22×#11761616C22semidirect
41. C2×SD16×D67C22semidirect
44. #16864120C22semidirect
46. #16864094C22semidirect
48. #16864081C22semidirect
49. #16864059C22semidirect
50. #16864058C22semidirect
51. #16864055C22semidirect
52. #16864048C22semidirect
64. #16864020C22semidirect
66. #16864004C22semidirect
70. #16863977C22semidirect
71. #16863969C22semidirect
77. #16863909C22semidirect
79. C2×#14524023C22semidirect
83. #16863789C22semidirect
84. #16863785C22semidirect
85. #16863778C22semidirect
86. #16863767C22semidirect
87. #16863759C22semidirect
88. #16863752C22semidirect
89. #16863744C22semidirect
90. #16863739C22semidirect
91. #16863739C22semidirect
92. #16863736C22semidirect
93. #16863736C22semidirect
94. #16863723C22semidirect
95. #16863723C22semidirect
96. #16863723C22semidirect
97. #16863718C22semidirect
98. #16863714C22semidirect
99. #16863714C22semidirect
100. #16863699C22semidirect
101. #16863694C22semidirect
102. #16863683C22semidirect
103. #16863653C22semidirect
104. #16863653C22semidirect
105. #16863648C22semidirect
106. #16863643C22semidirect
107. #16863643C22semidirect
108. #16863643C22semidirect
109. #16863642C22semidirect
110. #16863633C22semidirect
111. #16863632C22semidirect
112. #16863627C22semidirect
113. #16863627C22semidirect
114. #16863627C22semidirect
115. #16863624C22semidirect
116. #16863623C22semidirect
117. #16863621C22semidirect
118. #16863615C22semidirect
119. #16863614C22semidirect
120. #16863612C22semidirect
121. #16863611C22semidirect
122. #16863600C22semidirect
123. #16863599C22semidirect
124. #16863597C22semidirect
125. #16863596C22semidirect
126. #16863595C22semidirect
127. #16863590C22semidirect
128. #16863561C22semidirect
129. #16863561C22semidirect
130. #16863561C22semidirect
131. #16863558C22semidirect
132. #16863557C22semidirect
133. #16863557C22semidirect
134. #16863551C22semidirect
135. #16863549C22semidirect
138. #16863548C22semidirect
139. #16863548C22semidirect
140. #16863548C22semidirect
141. #16863548C22semidirect
142. #16863548C22semidirect
143. #16863548C22semidirect
144. #16863548C22semidirect
145. #16863546C22semidirect
146. #16863546C22semidirect
148. #16863545C22semidirect
149. #16863544C22semidirect
150. #16863544C22semidirect
151. #16863544C22semidirect
152. #16863543C22semidirect
153. #16863539C22semidirect
154. #16863537C22semidirect
155. #16863536C22semidirect
156. #16863533C22semidirect
157. #16863532C22semidirect
159. #16863531C22semidirect
160. #16863531C22semidirect
161. #16863530C22semidirect
162. #16863505C22semidirect
163. #16863498C22semidirect
164. #16863495C22semidirect
165. #16863487C22semidirect
166. C4×#11761615C22semidirect
167. C4×#11761616C22semidirect
168. #16863478C22semidirect
169. #16863473C22semidirect
170. #16863472C22semidirect
171. #16863469C22semidirect
172. #16863467C22semidirect
173. #16863464C22semidirect
174. D4×C67⋊C8C22semidirect
175. (C22⋊D67)⋊C8C22semidirect
176. #16863458C22semidirect
177. #16863456C22semidirect
178. #16863399C22semidirect
179. #16863399C22semidirect
180. #16863399C22semidirect
181. #16863391C22semidirect
182. C2×#14523963C22semidirect
183. C2×#14523963C22semidirect
184. #16863364C22semidirect
185. #16863361C22semidirect
186. #16863358C22semidirect
187. C2×(C2×D67)⋊C8C22semidirect
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
211. C2×#11761628C23semidirect
213. C2×Q8×D67C23semidirect
239. C2×#11761618C23semidirect
240. C2×#11761618C23semidirect
246. C2×#11761617C23semidirect
247. C2×#11761617C23semidirect
255. C2×#11761615C23semidirect
256. C2×#11761615C23semidirect
260. C2×D536C23semidirect
265. C2×#11761611C23semidirect
267. C22×C67⋊C8C23semidirect
268. C2×C8×D67C23semidirect
271. #14524041C23semidirect
283. #14524034C23semidirect
290. #14524031C23semidirect
316. #14524023C23semidirect
317. #14524022C23semidirect
333. #14524018C23semidirect
372. C4×Dic134C23semidirect
373. #14524008C23semidirect
381. #14524005C23semidirect
394. #14524001C23semidirect
404. #14523977C23semidirect
405. #14523974C23semidirect
406. #14523974C23semidirect
407. #14523974C23semidirect
408. #14523974C23semidirect
409. C4⋊(C67⋊C8)C23semidirect
410. Dic67⋊C8C23semidirect
411. Dic67⋊C8C23semidirect
412. #14523968C23semidirect
413. #14523968C23semidirect
414. #14523967C23semidirect
415. #14523967C23semidirect
416. #14523966C23semidirect
417. #14523966C23semidirect
420. #14523965C23semidirect
421. #14523965C23semidirect
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
976. #3314D67semidirect
1002. C67#61610semidirect
1017. #554C2×D67semidirect
1061. #489C2×D67semidirect
1068. #484C2×D67semidirect
1075. #480C2×D67semidirect
1079. #474C2×D67semidirect
1087. #468C2×D67semidirect
1088. #467C2×D67semidirect
1098. #464C2×D67semidirect
1114. #452C2×D67semidirect
1130. #450C2×D67semidirect
1147. #440C2×D67semidirect
1157. #435C2×D67semidirect
1165. #417C2×D67semidirect
1169. C2×#102C2×D67semidirect
1214. C2×Q16C22×D67semidirect
1242. C2×M16C22×D67semidirect
1250. C4⋊Q8C22×D67semidirect
1312. C22⋊Q8C22×D67semidirect
1364. C4×Q8C22×D67semidirect
1393. C2×C4⋊C4C22×D67semidirect
1402. #107C22×D67semidirect
1403. #107C22×D67semidirect
1404. #107C22×D67semidirect
1412. C4⋊C8C22×D67semidirect
1419. #103C22×D67semidirect
1420. #103C22×D67semidirect
1421. #103C22×D67semidirect
1422. #103C22×D67semidirect
1456. C22⋊C8C22×D67semidirect
1458. #97C22×D67semidirect

Maximal subgroups

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

subgroupindex
#225745032
#225738392
#225724372
#225724262
#225723462
#225722442
#225722282
#225720572
#225720272
#225719122
#225719032
#225718352
#225718062
#225717382
#225717162
#225717092
#225717062
#225713042
#225712782
#225710772
#225710682
#225710442
#225710032
#225704602
#225704002
#225695152
#225694832
#225694372
C2×#168635482
#225692582
C67×#33142
#6161067