Finite Group Databasebeta

← #31741416

Subgroups — #31741416

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#22574496C211yesmaximal, characteristic, complemented
2#22573839C211yesmaximal, characteristic, complemented
3#22572438C211yesmaximal, characteristic, complemented
4#22572424C211yesmaximal, characteristic, complemented
5#22572344C211yesmaximal, characteristic, complemented
6#22572288C211yesmaximal, characteristic, complemented
7#22572241C211yesmaximal, characteristic, complemented
8#22572227C211yesmaximal, characteristic, complemented
9#22572029C211yesmaximal, characteristic, complemented
10#22571913C211yesmaximal, characteristic, complemented
11D4×#11761617C211yesmaximal, characteristic, complemented
12#22571838C211yesmaximal, characteristic, complemented
13#22571810C211yesmaximal, characteristic, complemented
14#22571729C211yesmaximal, characteristic, complemented
15#22571715C211yesmaximal, characteristic, complemented
16#22571708C211yesmaximal, characteristic, complemented
17#22571701C211yesmaximal, characteristic, complemented
18#22571302C211yesmaximal, characteristic, complemented
19#22571284C211yesmaximal, characteristic, complemented
20#22571083C211yesmaximal, characteristic, complemented
21#22571054C211yesmaximal, characteristic, complemented
22#22571044C211yesmaximal, characteristic, complemented
23#22570998C211yesmaximal, characteristic, complemented
24#22570463C211yesmaximal, characteristic, complemented
25#22570389C211yesmaximal, characteristic, complemented
26#22569511C211yesmaximal, characteristic, complemented
27#22569489C211yesmaximal, characteristic, complemented
28#22569433C211yesmaximal, characteristic, complemented
29C2×#16863548C211yesmaximal, characteristic, complemented
30#22569251C211yesmaximal, characteristic, complemented
31C67×#3297C211yesmaximal, characteristic, complemented
32C2×#14524089C2211yescharacteristic
33C22×D4×D67C2211yescharacteristic
34C2×#14524073C2211yescharacteristic, complemented
35C2×#14524067C2211yescharacteristic, complemented
36C2×#14524067C2211yescharacteristic, complemented
37C2×#14524067C2211yescharacteristic, complemented
38C2×#14524064C2211yescharacteristic, complemented
39C22×#11761617C2211yescharacteristic, complemented
40C22×#11761617C2211yescharacteristic, complemented
41C22×#11761616C2211yescharacteristic, complemented
42#16864148—21no—
43#16864143—21no—
44#16864114C2211yescharacteristic, complemented
45#16864103—21no—
46#16864101C2211yescharacteristic, complemented
47#16864098—21no—
48#16864084C2211yescharacteristic, complemented
49D4×Dic134C2211yescharacteristic, complemented
50#16864052C2211yescharacteristic, complemented
51#16864052C2211yescharacteristic, complemented
52#16864050C2211yescharacteristic, 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#16864012—21no—
65#16864011C2211yescharacteristic, complemented
66#16864009C2211yescharacteristic, complemented
67#16863990—21no—
68#16863983—21no—
69#16863979—21no—
70#16863975C2211yescharacteristic, complemented
71#16863972C2211yescharacteristic, complemented
72#16863964C2211yescharacteristic
73#16863962C2211yescharacteristic
74#16863957—21no—
75#16863954—21no—
76#16863909C2211yescharacteristic
77#16863906C2211yescharacteristic, complemented
78#16863905C2211yescharacteristic
79C2×#14524023C2211yescharacteristic, complemented
80C2×#14524013—21no—
81#120×D67—21no—
82#16863868C2211yescharacteristic
83#16863791C2211yescharacteristic, complemented
84#16863784C2211yescharacteristic, complemented
85#16863777C2211yescharacteristic, complemented
86#16863769C2211yescharacteristic, complemented
87#16863762C2211yescharacteristic, complemented
88#16863757C2211yescharacteristic, complemented
89#16863741C2211yescharacteristic, complemented
90#16863740C2211yescharacteristic, complemented
91#16863739C2211yescharacteristic, complemented
92#16863739C2211yescharacteristic, complemented
93#16863735C2211yescharacteristic, complemented
94#16863722C2211yescharacteristic, complemented
95#16863720C2211yescharacteristic, complemented
96#16863719C2211yescharacteristic, complemented
97#16863714C2211yescharacteristic, complemented
98#16863713C2211yescharacteristic, complemented
99#16863711C2211yescharacteristic, complemented
100#16863693C2211yescharacteristic, complemented
101#16863684C2211yescharacteristic, complemented
102#16863675C2211yescharacteristic, complemented
103#16863653C2211yescharacteristic, complemented
104#16863653C2211yescharacteristic, complemented
105#16863647C2211yescharacteristic, complemented
106#16863643C2211yescharacteristic, complemented
107#16863643C2211yescharacteristic, complemented
108#16863643C2211yescharacteristic, complemented
109#16863641C2211yescharacteristic, complemented
110#16863640C2211yescharacteristic, complemented
111#16863635C2211yescharacteristic, complemented
112#16863630C2211yescharacteristic, complemented
113#16863626C2211yescharacteristic, complemented
114#16863625C2211yescharacteristic, complemented
115#16863625C2211yescharacteristic, complemented
116#16863624C2211yescharacteristic, complemented
117#16863621C2211yescharacteristic, complemented
118#16863621C2211yescharacteristic, complemented
119#16863615C2211yescharacteristic, complemented
120#16863610C2211yescharacteristic, complemented
121#16863609C2211yescharacteristic, complemented
122#16863602C2211yescharacteristic, complemented
123#16863601C2211yescharacteristic, complemented
124#16863597C2211yescharacteristic, complemented
125#16863595C2211yescharacteristic, complemented
126#16863595C2211yescharacteristic, complemented
127#16863591C2211yescharacteristic, complemented
128#16863561C2211yescharacteristic, complemented
129#16863561C2211yescharacteristic, complemented
130#16863561C2211yescharacteristic, complemented
131#16863561C2211yescharacteristic, complemented
132#16863561C2211yescharacteristic, complemented
133#16863558C2211yescharacteristic, complemented
134#16863555C2211yescharacteristic, complemented
135#16863551C2211yescharacteristic, complemented
136#16863549C2211yescharacteristic, complemented
137#16863549C2211yescharacteristic, complemented
138#16863548C2211yescharacteristic
139#16863548C2211yescharacteristic
140#16863548C2211yescharacteristic
141#16863548C2211yescharacteristic, complemented
142#16863548C2211yescharacteristic, complemented
143#16863548C2211yescharacteristic, complemented
144#16863548C2211yescharacteristic, complemented
145#16863548C2211yescharacteristic, complemented
146#16863548C2211yescharacteristic, complemented
147#16863548C2211yescharacteristic, complemented
148#16863548C2211yescharacteristic, complemented
149#16863548C2211yescharacteristic, complemented
150#16863547C2211yescharacteristic, complemented
151#16863542C2211yescharacteristic, complemented
152#16863542C2211yescharacteristic, complemented
153#16863540C2211yescharacteristic, complemented
154#16863538C2211yescharacteristic, complemented
155#16863537C2211yescharacteristic, complemented
156#16863537C2211yescharacteristic, complemented
157#16863534C2211yescharacteristic, complemented
158#16863529C2211yescharacteristic, complemented
159#16863529C2211yescharacteristic, complemented
160#16863528C2211yescharacteristic
161#16863528C2211yescharacteristic, complemented
162#16863506C2211yescharacteristic, complemented
163#16863496C2211yescharacteristic, complemented
164#16863495C2211yescharacteristic, complemented
165#16863493C2211yescharacteristic, complemented
166#16863487C2211yescharacteristic, complemented
167C4×#11761617C2211yescharacteristic, complemented
168#16863483C2211yescharacteristic, complemented
169#16863475C2211yescharacteristic, complemented
170#16863471C2211yescharacteristic, complemented
171#16863468C2211yescharacteristic, complemented
172#16863467C2211yescharacteristic, complemented
173#16863466C2211yescharacteristic, complemented
174#16863464C2211yescharacteristic, complemented
175C8×C22⋊D67C2211yescharacteristic, complemented
176#16863456C2211yescharacteristic, complemented
177#16863455C2211yescharacteristic, complemented
178#16863400C2211yescharacteristic, complemented
179#16863399C2211yescharacteristic, complemented
180#16863399C2211yescharacteristic, complemented
181#16863396C2211yescharacteristic, complemented
182C2×#14523963C2211yescharacteristic, complemented
183#102×D67C2211yescharacteristic, complemented
184#16863362C2211yescharacteristic, complemented
185#16863361C2211yescharacteristic, complemented
186#16863358C2211yescharacteristic, complemented
187C2×(C2×D67)⋊C8C2211yescharacteristic, complemented
188#553×C67C2211yescharacteristic, complemented
189#546×C67C2211yescharacteristic
190#488×C67C2211yescharacteristic, complemented
191#484×C67C2211yescharacteristic, complemented
192#482×C67C2211yescharacteristic, complemented
193#478×C67C2211yescharacteristic, complemented
194#466×C67C2211yescharacteristic, complemented
195#465×C67C2211yescharacteristic, complemented
196#463×C67C2211yescharacteristic, complemented
197#449×C67C2211yescharacteristic, complemented
198#447×C67C2211yescharacteristic, complemented
199C4×D8×C67C2211yescharacteristic, complemented
200C8×D4×C67C2211yescharacteristic, complemented
201#416×C67C2211yescharacteristic, complemented
202C2×#102×C67C2211yescharacteristic, complemented
203C24×D67—21no—
204#14524089—42no—
205#14524089—42no—
206C2×#11761629C2311yescharacteristic
207C2×#11761629C2311yescharacteristic
208C2×#11761628—21no—
209C2×#11761628C2311yescharacteristic
210C2×#11761627C2311yescharacteristic
211C2×#11761627C2311yescharacteristic, complemented
212C22×Dic134C2311yescharacteristic
213C22×Dic134C2311yescharacteristic, 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#14524073—42no—
235#14524067—42no—
236#14524067—42no—
237#14524067—42no—
238#14524064—42no—
239C2×#11761618C2311yescharacteristic, complemented
240C2×#11761618C2311yescharacteristic, complemented
241C2×#11761618C2311yescharacteristic, complemented
242C2×#11761617—42no—
243C2×#11761617—42no—
244C2×#11761617C2311yescharacteristic
245C2×#11761617C2311yescharacteristic
246C2×#11761617C2311yescharacteristic
247C2×#11761617C2311yescharacteristic
248C2×#11761617C2311yescharacteristic
249C2×#11761617C2311yescharacteristic
250C2×#11761617C2311yescharacteristic, complemented
251C2×#11761617C2311yescharacteristic, complemented
252C2×#11761617C2311yescharacteristic, complemented
253C2×#11761616—42no—
254C2×#11761616C2311yescharacteristic
255C2×#11761616C2311yescharacteristic
256C2×#11761616C2311yescharacteristic
257C2×#11761616C2311yescharacteristic
258C2×#11761616C2311yescharacteristic
259C2×#11761616C2311yescharacteristic
260C2×#11761613C2311yescharacteristic
261C2×#11761613C2311yescharacteristic
262C2×#11761613C2311yescharacteristic, complemented
263C2×#11761612C2311yescharacteristic, complemented
264C2×#11761611C2311yescharacteristic
265C2×#11761611C2311yescharacteristic
266C2×#11761611C2311yescharacteristic, complemented
267C22×C67⋊C8C2311yescharacteristic
268C2×C8×D67C2311yescharacteristic, complemented
269#14524043—21no—
270#14524043C2311yescharacteristic, complemented
271#14524042—21no—
272#14524042C2311yescharacteristic, complemented
273#14524040C2311yescharacteristic
274#14524039—21no—
275#14524039C2311yescharacteristic
276#14524038—21no—
277#14524038—21no—
278#14524038—21no—
279#14524037—21no—
280#14524036—21no—
281#14524036—21no—
282#14524034—21no—
283#14524034—21no—
284#14524034—21no—
285#14524033—21no—
286#14524032C2311yescharacteristic
287#14524031—21no—
288#14524030C2311yescharacteristic, complemented
289#14524029—21no—
290#14524029—21no—
291#14524029—21no—
292#14524029—21no—
293#14524029—21no—
294#14524028—21no—
295#14524028—21no—
296#14524028—21no—
297#14524028D411yescharacteristic
298#14524027—21no—
299#14524027—21no—
300#14524027—21no—
301#14524027—21no—
302#14524026—21no—
303#14524026—21no—
304#14524025—21no—
305#14524025—21no—
306#14524025D411yescharacteristic
307#14524023—21no—
308#14524023—21no—
309#14524023C2311yescharacteristic
310#14524023C2311yescharacteristic
311#14524023C2311yescharacteristic
312#14524023C2311yescharacteristic
313#14524023C2311yescharacteristic
314#14524023C2311yescharacteristic, complemented
315#14524023C2311yescharacteristic, complemented
316#14524022—21no—
317#14524022—21no—
318#14524022C2311yescharacteristic
319#14524022C2311yescharacteristic, complemented
320#14524021—21no—
321#14524021D411yescharacteristic
322#14524020—21no—
323#14524020—21no—
324#14524020—21no—
325#14524020—21no—
326#14524020—21no—
327#14524020D411yescharacteristic
328#14524019C2311yescharacteristic
329#14524018—21no—
330#14524018—21no—
331#14524018C2311yescharacteristic
332#14524018C2311yescharacteristic
333#14524017—21no—
334#14524017—21no—
335#14524017C2311yescharacteristic
336#14524017C2311yescharacteristic
337#14524016—21no—
338#14524016—21no—
339#14524016—21no—
340#14524016—21no—
341#14524016—21no—
342#14524016D411yescharacteristic
343#14524015—21no—
344#14524015—21no—
345#14524015—21no—
346#14524015—21no—
347#14524015—21no—
348#14524015D411yescharacteristic
349#14524014—21no—
350#14524014C2311yescharacteristic
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#14524013D411yescharacteristic
364#14524012—21no—
365#14524011—21no—
366#14524011—21no—
367#14524011—21no—
368#14524011—21no—
369#14524011—21no—
370#14524011D411yescharacteristic
371C4×Dic134—21no—
372C4×Dic134C2311yescharacteristic, complemented
373#14524008C2311yescharacteristic, complemented
374#14524008C2311yescharacteristic, complemented
375C4×D268C2311yescharacteristic
376C4×D268C2311yescharacteristic
377D4×Dic67—21no—
378D4×Dic67—21no—
379D4×Dic67—21no—
380D4×Dic67—21no—
381D4×Dic67C2311yescharacteristic
382#14524005—21no—
383#14524005C2311yescharacteristic
384C4×C22⋊D67—21no—
385C4×C22⋊D67—21no—
386C4×C22⋊D67C2311yescharacteristic
387C4×C22⋊D67C2311yescharacteristic
388(C22⋊D67)⋊C4—21no—
389(C22⋊D67)⋊C4—21no—
390(C22⋊D67)⋊C4—21no—
391#14524001—21no—
392#14524001C2311yescharacteristic
393#14524001C2311yescharacteristic
394#14524000C2311yescharacteristic
395C2×C4⋊Dic67—21no—
396C2×C4⋊Dic67—21no—
397C4⋊C4×D67C2311yescharacteristic, complemented
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#14523976C2311yescharacteristic, complemented
405#14523976C2311yescharacteristic, complemented
406#14523975C2311yescharacteristic, complemented
407#14523974C2311yescharacteristic, complemented
408#14523974C2311yescharacteristic, complemented
409C4⋊(C67⋊C8)C2311yescharacteristic, complemented
410Dic67⋊C8C2311yescharacteristic, complemented
411Dic67⋊C8C2311yescharacteristic, complemented
412#14523968C2311yescharacteristic, complemented
413#14523968C2311yescharacteristic, complemented
414#14523968C2311yescharacteristic, complemented
415#14523967C2311yescharacteristic, complemented
416#14523966C2311yescharacteristic, complemented
417#14523966C2311yescharacteristic, complemented
418#14523966C2311yescharacteristic, complemented
419#14523965C2311yescharacteristic
420#14523965C2311yescharacteristic
421#14523965C2311yescharacteristic, complemented
422#14523964C2311yescharacteristic
423#14523964C2311yescharacteristic
424#14523964C2311yescharacteristic, complemented
425#14523963C2311yescharacteristic
426#14523963C2311yescharacteristic
427#14523963C2311yescharacteristic
428#14523963C2311yescharacteristic
429#14523963C2311yescharacteristic
430#14523963C2311yescharacteristic
431#14523963C2311yescharacteristic, complemented
432#14523963C2311yescharacteristic, complemented
433#14523963C2311yescharacteristic, complemented
434C22⋊(C67⋊C8)C2311yescharacteristic
435C22⋊(C67⋊C8)C2311yescharacteristic, complemented
436(C2×D67)⋊C8C2311yescharacteristic
437(C2×D67)⋊C8C2311yescharacteristic
438(C2×D67)⋊C8C2311yescharacteristic
439(C2×D67)⋊C8C2311yescharacteristic
440(C2×D67)⋊C8C2311yescharacteristic
441(C2×D67)⋊C8C2311yescharacteristic
442(C2×D67)⋊C8C2311yescharacteristic, complemented
443(C2×D67)⋊C8C2311yescharacteristic, complemented
444#14523954C2311yescharacteristic, complemented
445#14523953C2311yescharacteristic, complemented
446C8×Dic67C2311yescharacteristic, complemented
447C2×#41×C67C2311yescharacteristic
448C22×D4×C67C2311yescharacteristic
449C2×SD16×C67C2311yescharacteristic, complemented
450C2×D8×C67C2311yescharacteristic
451C2×D8×C67C2311yescharacteristic
452C22×C8×C67C2311yescharacteristic
453C22×C8×C67C2311yescharacteristic, complemented
454#126×C67—21no—
455#125×C67C2311yescharacteristic, complemented
456#124×C67C2311yescharacteristic
457#123×C67—21no—
458#123×C67—21no—
459C22⋊Q8×C67C2311yescharacteristic
460#121×C67—21no—
461#121×C67—21no—
462#121×C67C2311yescharacteristic
463#121×C67C2311yescharacteristic
464#121×C67C2311yescharacteristic, complemented
465#120×C67—21no—
466C4×D4×C67—21no—
467C4×D4×C67C2311yescharacteristic
468C4×D4×C67C2311yescharacteristic
469C4×D4×C67C2311yescharacteristic, complemented
470#117×C67C2311yescharacteristic, complemented
471C2×C4⋊C4×C67C2311yescharacteristic
472C2×C22⋊C4×C67—21no—
473#107×C67C2311yescharacteristic, complemented
474#107×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
489C4×C8×C67C2311yescharacteristic, complemented
490C23×D67—21no—
491C23×D67—21no—
492C23×D67—21no—
493C23×D67—21no—
494C23×D67—21no—
495C23×D67—21no—
496C23×D67—21no—
497C23×D67—44no—
498C23×D67—82no—
499C23×D67—82no—
500C23×D67C2×D411yescharacteristic
501#11761629—22no—
502#11761629—41no—
503#11761629—41no—
504#11761629—41no—
505#11761628—41no—
506#11761628—41no—
507#11761628—44no—
508#11761627—41no—
509#11761627—41no—
510#11761627—41no—
511#11761627—41no—
512C2×Dic134—21no—
513C2×Dic134—21no—
514C2×Dic134—21no—
515C2×Dic134—41no—
516C2×Dic134—41no—
517C2×Dic134—41no—
518C2×Dic134—41no—
519C2×Dic134C2×D411yescharacteristic
520C2×Dic134C2411yescharacteristic
521C2×Dic134C2411yescharacteristic
522C2×Dic134C2411yescharacteristic
523C2×D268—22no—
524C2×D268—22no—
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×C22⋊D67—21no—
543C2×C22⋊D67—21no—
544C2×C22⋊D67—21no—
545C2×C22⋊D67—21no—
546C2×C22⋊D67—21no—
547C2×C22⋊D67—21no—
548C2×C22⋊D67—21no—
549C2×C22⋊D67—21no—
550C2×C22⋊D67—21no—
551C2×C22⋊D67—21no—
552C2×C22⋊D67—21no—
553C2×C22⋊D67—21no—
554C2×C22⋊D67—21no—
555C2×C22⋊D67—44no—
556C2×C22⋊D67—82no—
557C2×C22⋊D67C2×D411yescharacteristic
558C2×C22⋊D67C2×D411yescharacteristic
559C2×C22⋊D67C2×D411yescharacteristic
560C2×C22⋊D67C2×D411yescharacteristic
561D4×D67—22no—
562D4×D67—22no—
563D4×D67—22no—
564D4×D67—22no—
565D4×D67—22no—
566D4×D67—41no—
567D4×D67—41no—
568D4×D67—41no—
569D4×D67—41no—
570D4×D67—41no—
571D4×D67—44no—
572D4×D67—44no—
573D4×D67—44no—
574D4×D67—44no—
575D4×D67—82no—
576D4×D67—82no—
577C22×Dic67—21no—
578C22×Dic67—21no—
579C22×Dic67—21no—
580C22×Dic67—21no—
581C22×Dic67—21no—
582C22×Dic67C2×D411yescharacteristic
583C2×C4×D67—21no—
584C2×C4×D67—21no—
585C2×C4×D67—21no—
586C2×C4×D67—21no—
587C2×C4×D67—21no—
588C2×C4×D67—41no—
589C2×C4×D67—41no—
590C2×C4×D67C2×D411yescharacteristic
591C2×C4×D67C2×D411yescharacteristic
592C2×C4×D67C2411yescharacteristic
593C2×C4×D67C2411yescharacteristic
594C2×C4×D67C2411yescharacteristic
595#11761618—41no—
596#11761618—41no—
597#11761618—41no—
598#11761617—22no—
599#11761617—22no—
600#11761617—22no—
601#11761617—41no—
602#11761617—41no—
603#11761617—41no—
604#11761617—41no—
605#11761617—41no—
606#11761617—41no—
607#11761616—22no—
608#11761616—22no—
609#11761616—22no—
610#11761616—41no—
611#11761616—41no—
612#11761616—41no—
613#11761613—22no—
614#11761613—41no—
615#11761613—41no—
616#11761612—41no—
617#11761611—41no—
618#11761611—41no—
619#11761611—41no—
620C2×C67⋊C8—41no—
621C2×C67⋊C8C2411yescharacteristic
622C2×C67⋊C8C2411yescharacteristic
623C2×C67⋊C8C2411yescharacteristic
624C2×C67⋊C8C2411yescharacteristic
625C8×D67—41no—
626C4⋊Dic67—21no—
627C4⋊Dic67—21no—
628C4⋊Dic67—21no—
629C4⋊Dic67—21no—
630C4⋊Dic67—21no—
631C4⋊Dic67—21no—
632C4⋊Dic67—21no—
633C4⋊Dic67—21no—
634C4⋊Dic67—21no—
635C4⋊Dic67C2×D411yescharacteristic
636C4⋊Dic67C2411yescharacteristic
637C4⋊Dic67C2411yescharacteristic
638Dic67⋊C4—21no—
639Dic67⋊C4—21no—
640Dic67⋊C4—21no—
641Dic67⋊C4—21no—
642Dic67⋊C4—21no—
643Dic67⋊C4—21no—
644Dic67⋊C4—21no—
645Dic67⋊C4—21no—
646Dic67⋊C4C2×D411yescharacteristic
647Dic67⋊C4C2×D411yescharacteristic
648Dic67⋊C4C2×D411yescharacteristic
649Dic67⋊C4C2×D411yescharacteristic
650C22⋊Dic67—21no—
651C22⋊Dic67—21no—
652C22⋊Dic67—21no—
653C22⋊Dic67—21no—
654C22⋊Dic67—21no—
655C22⋊Dic67—21no—
656C22⋊Dic67—21no—
657C22⋊Dic67C2×D411yescharacteristic
658C22⋊Dic67C2×D411yescharacteristic
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×C67C2411yescharacteristic
693C2×D4×C67—22no—
694C2×D4×C67—21no—
695C2×D4×C67—21no—
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
703C2×D4×C67C2411yescharacteristic
704C22×C4×C67—21no—
705C22×C4×C67—21no—
706C22×C4×C67—21no—
707C22×C4×C67—21no—
708C22×C4×C67C2411yescharacteristic
709C22×C4×C67C2411yescharacteristic
710SD16×C67—41no—
711D8×C67—22no—
712D8×C67—41no—
713C2×C8×C67—41no—
714C2×C8×C67—41no—
715C2×C8×C67C2411yescharacteristic
716C2×C8×C67C2411yescharacteristic
717C2×C8×C67C2411yescharacteristic
718C2×C8×C67C2411yescharacteristic
719C4⋊C4×C67—21no—
720C4⋊C4×C67—21no—
721C4⋊C4×C67—21no—
722C4⋊C4×C67—21no—
723C4⋊C4×C67C2×D411yescharacteristic
724C4⋊C4×C67C2411yescharacteristic
725C4⋊C4×C67C2411yescharacteristic
726C4⋊C4×C67C2411yescharacteristic
727C4⋊C4×C67C2411yescharacteristic
728C22⋊C4×C67—21no—
729C22⋊C4×C67—21no—
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—21no—
744C23×C67—42no—
745C23×C67—42no—
746C23×C67—81no—
747C23×C67C22×D411yescharacteristic
748C23×C67C22×D411yescharacteristic
749C22×D67—22no—
750C22×D67—21no—
751C22×D67—24no—
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—
782D4×C67—22no—
783D4×C67—21no—
784D4×C67—21no—
785D4×C67—21no—
786D4×C67—21no—
787D4×C67—21no—
788D4×C67—42no—
789D4×C67—42no—
790D4×C67—42no—
791D4×C67—81no—
792D4×C67—81no—
793D4×C67H(5,𝔽2)12yes—
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—81no—
823C22⋊D67—81no—
824C22⋊D67—81no—
825C22⋊D67—81no—
826C22⋊D67—81no—
827C22⋊D67—81no—
828C22⋊D67—81no—
829C2×Dic67—21no—
830C2×Dic67—21no—
831C2×Dic67—21no—
832C2×Dic67—21no—
833C2×Dic67—21no—
834C2×Dic67—41no—
835C2×Dic67—81no—
836C2×Dic67—81no—
837C2×Dic67—81no—
838C2×Dic67—81no—
839C2×Dic67—81no—
840C2×Dic67C22×D411yescharacteristic
841C2×Dic67C22×D411yescharacteristic
842C2×Dic67C22×D411yescharacteristic
843C2×Dic67C22×D411yescharacteristic
844C2×Dic67C22×D411yescharacteristic
845D268—21no—
846D268—21no—
847D268—21no—
848D268—21no—
849D268—21no—
850D268—41no—
851D268—41no—
852D268—42no—
853D268—42no—
854D268—42no—
855D268—42no—
856D268—42no—
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—
874Dic134—21no—
875Dic134—21no—
876Dic134—21no—
877Dic134—21no—
878Dic134—21no—
879Dic134—21no—
880Dic134—41no—
881Dic134—81no—
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—21no—
896C22×C67—22no—
897C22×C67—21no—
898C22×C67—41no—
899C22×C67—41no—
900C22×C67—41no—
901C22×C67—41no—
902C22×C67—41no—
903C22×C67—41no—
904C22×C67—41no—
905C22×C67—41no—
906C22×C67—84no—
907C22×C67#57712yes—
908C22×C67C23×D411yescharacteristic
909C2×D67—21no—
910C2×D67—21no—
911C2×D67—21no—
912C2×D67—21no—
913C2×D67—21no—
914C2×D67—21no—
915C2×D67—22no—
916C2×D67—21no—
917C2×D67—21no—
918C2×D67—21no—
919C2×D67—44no—
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×C67C2×H(5,𝔽2)11yescharacteristic
945C4×C67C2×H(5,𝔽2)11yescharacteristic
946Dic67—21no—
947Dic67—21no—
948Dic67—21no—
949Dic67—21no—
950Dic67—21no—
951Dic67—41no—
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—81no—
962C2×C67#348411yescharacteristic
963C2×C67C2×#57711yescharacteristic
964C2×C67#358511yescharacteristic
965D67—41no—
966D67—41no—
967D67—41no—
968D67—42no—
969D67—81no—
970D67—81no—
971#3541—671no—
972#3484—671no—
973#3324—671no—
974#3323—671no—
975#3318—671no—
976#3314—671no—
977#3311—671no—
978#3310—671no—
979#3297D6711yescharacteristic, complemented
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—671no—
1017#554—1341no—
1018#553—1341no—
1019#553C2×D6711yescharacteristic, complemented
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#489—671no—
1062#488C2×D6711yescharacteristic, complemented
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#482C2×D6711yescharacteristic, complemented
1073#481—671no—
1074#481—671no—
1075#480—671no—
1076#478—671no—
1077#478C2×D6711yescharacteristic, complemented
1078#476—671no—
1079#474—671no—
1080#470—671no—
1081#470—671no—
1082#469—671no—
1083#468—671no—
1084#468—671no—
1085#468—671no—
1086#468—671no—
1087#468—671no—
1088#467—671no—
1089#466—671no—
1090#466C2×D6711yescharacteristic, complemented
1091#465—671no—
1092#465—671no—
1093#465—671no—
1094#465—671no—
1095#465C2×D6711yescharacteristic, complemented
1096#464—671no—
1097#464—671no—
1098#464—671no—
1099#463—671no—
1100#463—671no—
1101#463C2×D6711yescharacteristic, complemented
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#452—671no—
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#450—671no—
1131#449—671no—
1132#449—671no—
1133#449—671no—
1134#449—671no—
1135#449C2×D6711yescharacteristic, complemented
1136#448—671no—
1137#448—671no—
1138#448—671no—
1139#447—671no—
1140#447—671no—
1141#447—671no—
1142#447—671no—
1143#447C2×D6711yescharacteristic, complemented
1144#442—671no—
1145#440—671no—
1146#440—671no—
1147#440—671no—
1148C4×SD16—671no—
1149C4×SD16—671no—
1150C4×SD16—671no—
1151C4×D8C2×D6711yescharacteristic, complemented
1152#436—671no—
1153#436—671no—
1154#435—671no—
1155#435—671no—
1156#435—671no—
1157#435—671no—
1158C8×D4—671no—
1159C8×D4C2×D6711yescharacteristic, complemented
1160#433—671no—
1161#433—671no—
1162#418—671no—
1163#418—671no—
1164#418—671no—
1165#417—671no—
1166#416C2×D6711yescharacteristic, complemented
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×Q16—671no—
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×SD16—671no—
1233C2×SD16C22×D6711yescharacteristic, complemented
1234C2×D8—671no—
1235C2×D8—671no—
1236C2×D8—671no—
1237C2×D8C22×D6711yescharacteristic
1238C2×D8C22×D6711yescharacteristic
1239C2×M16—671no—
1240C2×M16—671no—
1241C2×M16—671no—
1242C2×M16—671no—
1243C22×C8—671no—
1244C22×C8—671no—
1245C22×C8C22×D6711yescharacteristic
1246C22×C8C22×D6711yescharacteristic, complemented
1247C4⋊Q8—671no—
1248C4⋊Q8—671no—
1249C4⋊Q8—1341no—
1250C4⋊Q8—1341no—
1251#127—671no—
1252#127—671no—
1253#127—1341no—
1254#126—21no—
1255#126—1341no—
1256#126—1341no—
1257#126—1341no—
1258#126—1341no—
1259#126—1341no—
1260#126—1341no—
1261#125—1341no—
1262#125—1341no—
1263#125—1341no—
1264#125—1341no—
1265#125C22×D6711yescharacteristic, complemented
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—21no—
1277#123—671no—
1278#123—671no—
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—671no—
1291C22⋊Q8—671no—
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⋊Q8—1341no—
1311C22⋊Q8—1341no—
1312C22⋊Q8C22×D6711yescharacteristic
1313#121—21no—
1314#121—21no—
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—1341no—
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#121C22×D6711yescharacteristic
1339#121C22×D6711yescharacteristic
1340#121C22×D6711yescharacteristic, complemented
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—671no—
1364C4×Q8—1341no—
1365C4×D4—21no—
1366C4×D4—671no—
1367C4×D4—671no—
1368C4×D4—671no—
1369C4×D4—671no—
1370C4×D4—671no—
1371C4×D4—671no—
1372C4×D4—1341no—
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×D4C22×D6711yescharacteristic
1383C4×D4C22×D6711yescharacteristic
1384C4×D4C22×D6711yescharacteristic, complemented
1385#117—671no—
1386#117—671no—
1387#117—671no—
1388#117—1341no—
1389#117C22×D6711yescharacteristic, complemented
1390C2×C4⋊C4—671no—
1391C2×C4⋊C4—1341no—
1392C2×C4⋊C4—1341no—
1393C2×C4⋊C4C22×D6711yescharacteristic
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#107—671no—
1403#107C22×D6711yescharacteristic, complemented
1404#107C22×D6711yescharacteristic, complemented
1405#106—671no—
1406#106—671no—
1407#106—671no—
1408#106C22×D6711yescharacteristic, complemented
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#103—671no—
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#102C22×D6711yescharacteristic
1439#102C22×D6711yescharacteristic
1440#102C22×D6711yescharacteristic
1441#102C22×D6711yescharacteristic
1442#102C22×D6711yescharacteristic
1443#102C22×D6711yescharacteristic
1444#102C22×D6711yescharacteristic, complemented
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#97—671no—
1459C4×C8—671no—
1460C4×C8C22×D6711yescharacteristic, complemented
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—2684no—
1478#41—2681no—
1479#41—2681no—
1480#41—2681no—
1481#41—2681no—
1482#41—2681no—
1483#41—2681no—
1484#41—2681no—
1485#41—1342no—
1486C2×Q8—2681no—
1487C2×Q8—2681no—
1488C2×Q8—2681no—
1489C2×Q8—2681no—
1490C2×Q8—671no—
1491C2×Q8—671no—
1492C2×Q8—671no—
1493C2×Q8—671no—
1494C2×Q8—1341no—
1495C2×Q8—1341no—
1496C2×Q8—1341no—
1497C2×Q8C23×D6711yescharacteristic
1498C2×D4—22no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—41no—
1505C2×D4—2681no—
1506C2×D4—2681no—
1507C2×D4—2684no—
1508C2×D4—2684no—
1509C2×D4—2684no—
1510C2×D4—2684no—
1511C2×D4—2684no—
1512C2×D4—2684no—
1513C2×D4—2681no—
1514C2×D4—2681no—
1515C2×D4—2681no—
1516C2×D4—2681no—
1517C2×D4—2681no—
1518C2×D4—5362no—
1519C2×D4—5362no—
1520C2×D4—5362no—
1521C2×D4—5362no—
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—671no—
1531C2×D4—1341no—
1532C2×D4—1341no—
1533C2×D4—1341no—
1534C2×D4—1342no—
1535C2×D4—1342no—
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—1342no—
1545C2×D4—1342no—
1546C2×D4—1341no—
1547C2×D4—1342no—
1548C2×D4—1342no—
1549C2×D4—1341no—
1550C2×D4—1341no—
1551C2×D4—1341no—
1552C2×D4—1341no—
1553C2×D4—1341no—
1554C2×D4—1342no—
1555C2×D4—1341no—
1556C2×D4—1341no—
1557C2×D4—1341no—
1558C2×D4—1341no—
1559C2×D4D4×D6711yescharacteristic
1560C2×D4C23×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—2681no—
1588Q16—2681no—
1589Q16—2681no—
1590SD16—41no—
1591SD16—2681no—
1592SD16—2681no—
1593SD16—2681no—
1594SD16—2681no—
1595SD16—2681no—
1596SD16—2681no—
1597SD16—2681no—
1598SD16—2681no—
1599SD16—2681no—
1600SD16—1342no—
1601SD16—1342no—
1602SD16—1342no—
1603SD16—1342no—
1604SD16—1342no—
1605SD16—1342no—
1606D8—22no—
1607D8—41no—
1608D8—2681no—
1609D8—2681no—
1610D8—1342no—
1611M16—2681no—
1612M16—2681no—
1613M16—2681no—
1614M16—2681no—
1615C2×C8—41no—
1616C2×C8—41no—
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—671no—
1632C4⋊C4—671no—
1633C4⋊C4—671no—
1634C4⋊C4—671no—
1635C4⋊C4—671no—
1636C4⋊C4—671no—
1637C4⋊C4—671no—
1638C4⋊C4—1341no—
1639C4⋊C4—1341no—
1640C4⋊C4—1341no—
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—21no—
1668C22⋊C4—21no—
1669C22⋊C4—671no—
1670C22⋊C4—671no—
1671C22⋊C4—671no—
1672C22⋊C4—671no—
1673C22⋊C4—671no—
1674C22⋊C4—671no—
1675C22⋊C4—671no—
1676C22⋊C4—671no—
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—21no—
1715C23—42no—
1716C23—42no—
1717C23—81no—
1718C23—2681no—
1719C23—2681no—
1720C23—2682no—
1721C23—2682no—
1722C23—2682no—
1723C23—2682no—
1724C23—2682no—
1725C23—2682no—
1726C23—2682no—
1727C23—2682no—
1728C23—2682no—
1729C23—5361no—
1730C23—5361no—
1731C23—5361no—
1732C23—5361no—
1733C23—5361no—
1734C23—5361no—
1735C23—5361no—
1736C23—5361no—
1737C23—5361no—
1738C23—5361no—
1739C23—5361no—
1740C23—53616no—
1741C23—671no—
1742C23—671no—
1743C23—671no—
1744C23—1344no—
1745C23—1341no—
1746C23—1341no—
1747C23—1342no—
1748C23—1341no—
1749C23C2×D4×D6711yescharacteristic
1750C23C2×D4×D6711yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—2681no—
1754Q8—5361no—
1755Q8—5361no—
1756Q8—5361no—
1757Q8—1341no—
1758Q8—1341no—
1759Q8—1341no—
1760Q8—1341no—
1761Q8—1341no—
1762Q8—1341no—
1763D4—22no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—42no—
1770D4—42no—
1771D4—42no—
1772D4—81no—
1773D4—81no—
1774D4—2682no—
1775D4—2682no—
1776D4—2681no—
1777D4—2681no—
1778D4—2682no—
1779D4—2682no—
1780D4—2682no—
1781D4—2682no—
1782D4—2682no—
1783D4—2682no—
1784D4—2681no—
1785D4—2681no—
1786D4—2681no—
1787D4—2682no—
1788D4—2682no—
1789D4—5361no—
1790D4—5361no—
1791D4—5361no—
1792D4—5361no—
1793D4—5361no—
1794D4—5361no—
1795D4—5361no—
1796D4—5361no—
1797D4—5361no—
1798D4—5361no—
1799D4—672no—
1800D4—1344no—
1801D4—1342no—
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—42no—
1818C2×C4—81no—
1819C2×C4—81no—
1820C2×C4—81no—
1821C2×C4—2681no—
1822C2×C4—2681no—
1823C2×C4—2682no—
1824C2×C4—2682no—
1825C2×C4—2681no—
1826C2×C4—5361no—
1827C2×C4—5361no—
1828C2×C4—5361no—
1829C2×C4—5361no—
1830C2×C4—5361no—
1831C2×C4—5361no—
1832C2×C4—5361no—
1833C2×C4—5361no—
1834C2×C4—671no—
1835C2×C4—671no—
1836C2×C4—671no—
1837C2×C4—671no—
1838C2×C4—671no—
1839C2×C4—1341no—
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—41no—
1875C22—41no—
1876C22—41no—
1877C22—84no—
1878C22—2684no—
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#1686420312yes—
1905C22C22×D4×D6711yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—2681no—
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—81no—
1932C2—2681no—
1933C2—2681no—
1934C2—2682no—
1935C2—2681no—
1936C2—5361no—
1937C2—5361no—
1938C2#2257383911yescharacteristic
1939C2C2×#1686420311yescharacteristic
1940C2#2257498411yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3297C2
socleC22×C67C23×D4
hypercenter#3297D67
hypocenterC67#61610
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3297

Complements

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

NH ≅ G/Ntype
1. #22574496C2semidirect
2. #22573839C2semidirect
3. #22572438C2semidirect
4. #22572424C2semidirect
5. #22572344C2semidirect
6. #22572288C2semidirect
7. #22572241C2semidirect
8. #22572227C2semidirect
9. #22572029C2semidirect
10. #22571913C2semidirect
11. D4×#11761617C2semidirect
12. #22571838C2semidirect
13. #22571810C2semidirect
14. #22571729C2semidirect
15. #22571715C2semidirect
16. #22571708C2semidirect
17. #22571701C2semidirect
18. #22571302C2semidirect
19. #22571284C2semidirect
20. #22571083C2semidirect
21. #22571054C2semidirect
22. #22571044C2semidirect
23. #22570998C2semidirect
24. #22570463C2semidirect
25. #22570389C2semidirect
26. #22569511C2semidirect
27. #22569489C2semidirect
28. #22569433C2semidirect
29. C2×#16863548C2semidirect
30. #22569251C2semidirect
31. C67×#3297C2semidirect
34. C2×#14524073C22semidirect
35. C2×#14524067C22semidirect
36. C2×#14524067C22semidirect
37. C2×#14524067C22semidirect
38. C2×#14524064C22semidirect
39. C22×#11761617C22semidirect
40. C22×#11761617C22semidirect
41. C22×#11761616C22semidirect
44. #16864114C22semidirect
46. #16864101C22semidirect
48. #16864084C22semidirect
49. D4×Dic134C22semidirect
50. #16864052C22semidirect
51. #16864052C22semidirect
52. #16864050C22semidirect
65. #16864011C22semidirect
66. #16864009C22semidirect
70. #16863975C22semidirect
71. #16863972C22semidirect
77. #16863906C22semidirect
79. C2×#14524023C22semidirect
83. #16863791C22semidirect
84. #16863784C22semidirect
85. #16863777C22semidirect
86. #16863769C22semidirect
87. #16863762C22semidirect
88. #16863757C22semidirect
89. #16863741C22semidirect
90. #16863740C22semidirect
91. #16863739C22semidirect
92. #16863739C22semidirect
93. #16863735C22semidirect
94. #16863722C22semidirect
95. #16863720C22semidirect
96. #16863719C22semidirect
97. #16863714C22semidirect
98. #16863713C22semidirect
99. #16863711C22semidirect
100. #16863693C22semidirect
101. #16863684C22semidirect
102. #16863675C22semidirect
103. #16863653C22semidirect
104. #16863653C22semidirect
105. #16863647C22semidirect
106. #16863643C22semidirect
107. #16863643C22semidirect
108. #16863643C22semidirect
109. #16863641C22semidirect
110. #16863640C22semidirect
111. #16863635C22semidirect
112. #16863630C22semidirect
113. #16863626C22semidirect
114. #16863625C22semidirect
115. #16863625C22semidirect
116. #16863624C22semidirect
117. #16863621C22semidirect
118. #16863621C22semidirect
119. #16863615C22semidirect
120. #16863610C22semidirect
121. #16863609C22semidirect
122. #16863602C22semidirect
123. #16863601C22semidirect
124. #16863597C22semidirect
125. #16863595C22semidirect
126. #16863595C22semidirect
127. #16863591C22semidirect
128. #16863561C22semidirect
129. #16863561C22semidirect
130. #16863561C22semidirect
131. #16863561C22semidirect
132. #16863561C22semidirect
133. #16863558C22semidirect
134. #16863555C22semidirect
135. #16863551C22semidirect
136. #16863549C22semidirect
137. #16863549C22semidirect
141. #16863548C22semidirect
142. #16863548C22semidirect
143. #16863548C22semidirect
144. #16863548C22semidirect
145. #16863548C22semidirect
146. #16863548C22semidirect
147. #16863548C22semidirect
148. #16863548C22semidirect
149. #16863548C22semidirect
150. #16863547C22semidirect
151. #16863542C22semidirect
152. #16863542C22semidirect
153. #16863540C22semidirect
154. #16863538C22semidirect
155. #16863537C22semidirect
156. #16863537C22semidirect
157. #16863534C22semidirect
158. #16863529C22semidirect
159. #16863529C22semidirect
161. #16863528C22semidirect
162. #16863506C22semidirect
163. #16863496C22semidirect
164. #16863495C22semidirect
165. #16863493C22semidirect
166. #16863487C22semidirect
167. C4×#11761617C22semidirect
168. #16863483C22semidirect
169. #16863475C22semidirect
170. #16863471C22semidirect
171. #16863468C22semidirect
172. #16863467C22semidirect
173. #16863466C22semidirect
174. #16863464C22semidirect
175. C8×C22⋊D67C22semidirect
176. #16863456C22semidirect
177. #16863455C22semidirect
178. #16863400C22semidirect
179. #16863399C22semidirect
180. #16863399C22semidirect
181. #16863396C22semidirect
182. C2×#14523963C22semidirect
183. #102×D67C22semidirect
184. #16863362C22semidirect
185. #16863361C22semidirect
186. #16863358C22semidirect
187. C2×(C2×D67)⋊C8C22semidirect
188. #553×C67C22semidirect
190. #488×C67C22semidirect
191. #484×C67C22semidirect
192. #482×C67C22semidirect
193. #478×C67C22semidirect
194. #466×C67C22semidirect
195. #465×C67C22semidirect
196. #463×C67C22semidirect
197. #449×C67C22semidirect
198. #447×C67C22semidirect
199. C4×D8×C67C22semidirect
200. C8×D4×C67C22semidirect
201. #416×C67C22semidirect
202. C2×#102×C67C22semidirect
211. C2×#11761627C23semidirect
213. C22×Dic134C23semidirect
239. C2×#11761618C23semidirect
240. C2×#11761618C23semidirect
241. C2×#11761618C23semidirect
250. C2×#11761617C23semidirect
251. C2×#11761617C23semidirect
252. C2×#11761617C23semidirect
262. C2×#11761613C23semidirect
263. C2×#11761612C23semidirect
266. C2×#11761611C23semidirect
268. C2×C8×D67C23semidirect
270. #14524043C23semidirect
272. #14524042C23semidirect
288. #14524030C23semidirect
314. #14524023C23semidirect
315. #14524023C23semidirect
319. #14524022C23semidirect
372. C4×Dic134C23semidirect
373. #14524008C23semidirect
374. #14524008C23semidirect
397. C4⋊C4×D67C23semidirect
404. #14523976C23semidirect
405. #14523976C23semidirect
406. #14523975C23semidirect
407. #14523974C23semidirect
408. #14523974C23semidirect
409. C4⋊(C67⋊C8)C23semidirect
410. Dic67⋊C8C23semidirect
411. Dic67⋊C8C23semidirect
412. #14523968C23semidirect
413. #14523968C23semidirect
414. #14523968C23semidirect
415. #14523967C23semidirect
416. #14523966C23semidirect
417. #14523966C23semidirect
418. #14523966C23semidirect
421. #14523965C23semidirect
424. #14523964C23semidirect
431. #14523963C23semidirect
432. #14523963C23semidirect
433. #14523963C23semidirect
435. C22⋊(C67⋊C8)C23semidirect
442. (C2×D67)⋊C8C23semidirect
443. (C2×D67)⋊C8C23semidirect
444. #14523954C23semidirect
445. #14523953C23semidirect
446. C8×Dic67C23semidirect
449. C2×SD16×C67C23semidirect
453. C22×C8×C67C23semidirect
455. #125×C67C23semidirect
464. #121×C67C23semidirect
469. C4×D4×C67C23semidirect
470. #117×C67C23semidirect
473. #107×C67C23semidirect
474. #107×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. C4×C8×C67C23semidirect
979. #3297D67semidirect
1002. C67#61610semidirect
1019. #553C2×D67semidirect
1062. #488C2×D67semidirect
1068. #484C2×D67semidirect
1072. #482C2×D67semidirect
1077. #478C2×D67semidirect
1090. #466C2×D67semidirect
1095. #465C2×D67semidirect
1101. #463C2×D67semidirect
1135. #449C2×D67semidirect
1143. #447C2×D67semidirect
1151. C4×D8C2×D67semidirect
1159. C8×D4C2×D67semidirect
1166. #416C2×D67semidirect
1169. C2×#102C2×D67semidirect
1233. C2×SD16C22×D67semidirect
1246. C22×C8C22×D67semidirect
1265. #125C22×D67semidirect
1340. #121C22×D67semidirect
1384. C4×D4C22×D67semidirect
1389. #117C22×D67semidirect
1403. #107C22×D67semidirect
1404. #107C22×D67semidirect
1408. #106C22×D67semidirect
1412. C4⋊C8C22×D67semidirect
1420. #103C22×D67semidirect
1421. #103C22×D67semidirect
1422. #103C22×D67semidirect
1444. #102C22×D67semidirect
1456. C22⋊C8C22×D67semidirect
1460. C4×C8C22×D67semidirect

Maximal subgroups

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

subgroupindex
#225744962
#225738392
#225724382
#225724242
#225723442
#225722882
#225722412
#225722272
#225720292
#225719132
D4×#117616172
#225718382
#225718102
#225717292
#225717152
#225717082
#225717012
#225713022
#225712842
#225710832
#225710542
#225710442
#225709982
#225704632
#225703892
#225695112
#225694892
#225694332
C2×#168635482
#225692512
C67×#32972
#6161067