Finite Group Databasebeta

← #31741424

Subgroups — #31741424

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#22573837C211yesmaximal, characteristic, complemented
3#22572439C211yesmaximal, characteristic, complemented
4#22572428C211yesmaximal, characteristic, complemented
5#22572348C211yesmaximal, characteristic, complemented
6#22572284C211yesmaximal, characteristic, complemented
7#22572242C211yesmaximal, characteristic, complemented
8#22572226C211yesmaximal, characteristic, complemented
9#22572055C211yesmaximal, characteristic, complemented
10#22571921C211yesmaximal, characteristic, complemented
11#22571902C211yesmaximal, characteristic, complemented
12#22571842C211yesmaximal, characteristic, complemented
13#22571807C211yesmaximal, characteristic, complemented
14#22571731C211yesmaximal, characteristic, complemented
15#22571723C211yesmaximal, characteristic, complemented
16#22571700C211yesmaximal, characteristic, complemented
17#22571699C211yesmaximal, characteristic, complemented
18#22571306C211yesmaximal, characteristic, complemented
19#22571280C211yesmaximal, characteristic, complemented
20#22571075C211yesmaximal, characteristic, complemented
21#22571066C211yesmaximal, characteristic, complemented
22#22571038C211yesmaximal, characteristic, complemented
23#22570998C211yesmaximal, characteristic, complemented
24#22570458C211yesmaximal, characteristic, complemented
25#22570398C211yesmaximal, characteristic, complemented
26#22569518C211yesmaximal, characteristic, complemented
27#22569481C211yesmaximal, characteristic, complemented
28#22569437C211yesmaximal, characteristic, complemented
29C2×#16863548C211yesmaximal, characteristic, complemented
30#22569251C211yesmaximal, characteristic, complemented
31C67×#3295C211yesmaximal, characteristic, complemented
32C2×#14524088C2211yescharacteristic
33C22×D4×D67C2211yescharacteristic
34C2×#14524072C2211yescharacteristic, complemented
35C2×#14524070C2211yescharacteristic, complemented
36C2×#14524070C2211yescharacteristic, complemented
37C2×#14524069C2211yescharacteristic, complemented
38C2×#14524065C2211yescharacteristic, 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#16864043C2211yescharacteristic
54#16864042C2211yescharacteristic
55#16864041C2211yescharacteristic
56#16864040C2211yescharacteristic
57#16864035—21no—
58#16864033—21no—
59#16864031C2211yescharacteristic
60#16864030C2211yescharacteristic
61D4×C22⋊D67—21no—
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#16863962C2211yescharacteristic
73#16863959C2211yescharacteristic
74#16863956—21no—
75#16863954—21no—
76#16863909C2211yescharacteristic, complemented
77#16863906C2211yescharacteristic
78#16863905C2211yescharacteristic
79C2×#14524023C2211yescharacteristic, complemented
80C2×#14524011—21no—
81#120×D67—21no—
82#16863868C2211yescharacteristic
83#16863787C2211yescharacteristic, complemented
84#16863783C2211yescharacteristic, complemented
85#16863780C2211yescharacteristic, complemented
86#16863767C2211yescharacteristic, complemented
87#16863759C2211yescharacteristic, complemented
88#16863758C2211yescharacteristic, complemented
89#16863749C2211yescharacteristic, complemented
90#16863740C2211yescharacteristic, complemented
91#16863740C2211yescharacteristic, complemented
92#16863740C2211yescharacteristic, complemented
93#16863735C2211yescharacteristic, complemented
94#16863731C2211yescharacteristic, complemented
95#16863722C2211yescharacteristic, complemented
96#16863722C2211yescharacteristic, complemented
97#16863719C2211yescharacteristic, complemented
98#16863719C2211yescharacteristic, complemented
99#16863709C2211yescharacteristic, complemented
100#16863698C2211yescharacteristic, complemented
101#16863695C2211yescharacteristic, complemented
102#16863673C2211yescharacteristic, complemented
103#16863655C2211yescharacteristic, complemented
104#16863655C2211yescharacteristic, complemented
105#16863650C2211yescharacteristic, complemented
106#16863644C2211yescharacteristic, complemented
107#16863641C2211yescharacteristic, complemented
108#16863641C2211yescharacteristic, complemented
109#16863641C2211yescharacteristic, complemented
110#16863640C2211yescharacteristic, complemented
111#16863635C2211yescharacteristic, complemented
112#16863631C2211yescharacteristic, complemented
113#16863630C2211yescharacteristic, complemented
114#16863626C2211yescharacteristic, complemented
115#16863625C2211yescharacteristic, complemented
116#16863625C2211yescharacteristic, complemented
117#16863619C2211yescharacteristic, complemented
118#16863618C2211yescharacteristic, complemented
119#16863617C2211yescharacteristic, complemented
120#16863612C2211yescharacteristic, complemented
121#16863611C2211yescharacteristic, complemented
122#16863610C2211yescharacteristic, complemented
123#16863600C2211yescharacteristic, complemented
124#16863599C2211yescharacteristic, complemented
125#16863595C2211yescharacteristic, complemented
126#16863593C2211yescharacteristic, complemented
127#16863590C2211yescharacteristic, complemented
128#16863561C2211yescharacteristic, complemented
129#16863560C2211yescharacteristic, complemented
130#16863559C2211yescharacteristic, complemented
131#16863559C2211yescharacteristic, complemented
132#16863559C2211yescharacteristic, complemented
133#16863556C2211yescharacteristic, complemented
134#16863555C2211yescharacteristic, complemented
135#16863554C2211yescharacteristic, 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#16863547C2211yescharacteristic, complemented
146#16863546C2211yescharacteristic, complemented
147#16863545C2211yescharacteristic
148#16863545C2211yescharacteristic, complemented
149#16863543C2211yescharacteristic, complemented
150#16863542C2211yescharacteristic, complemented
151#16863542C2211yescharacteristic, complemented
152#16863540C2211yescharacteristic, complemented
153#16863539C2211yescharacteristic, complemented
154#16863536C2211yescharacteristic, complemented
155#16863534C2211yescharacteristic, complemented
156#16863533C2211yescharacteristic, complemented
157#16863532C2211yescharacteristic, complemented
158#16863531C2211yescharacteristic
159#16863531C2211yescharacteristic, complemented
160#16863531C2211yescharacteristic, complemented
161#16863530C2211yescharacteristic, complemented
162#16863507C2211yescharacteristic, complemented
163#16863496C2211yescharacteristic, complemented
164#16863494C2211yescharacteristic, complemented
165#16863493C2211yescharacteristic, complemented
166C4×#11761617C2211yescharacteristic, complemented
167#16863483C2211yescharacteristic, complemented
168#16863476C2211yescharacteristic, 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#16863399C2211yescharacteristic, complemented
179#16863399C2211yescharacteristic, complemented
180#16863399C2211yescharacteristic, complemented
181#16863395C2211yescharacteristic, complemented
182#16863389C2211yescharacteristic, complemented
183C2×#14523963C2211yescharacteristic, complemented
184#16863362C2211yescharacteristic, complemented
185#16863361C2211yescharacteristic, complemented
186#16863358C2211yescharacteristic, complemented
187C2×(C2×D67)⋊C8C2211yescharacteristic, complemented
188#554×C67C2211yescharacteristic, complemented
189D42×C67C2211yescharacteristic
190#486×C67C2211yescharacteristic, complemented
191#481×C67C2211yescharacteristic, complemented
192#481×C67C2211yescharacteristic, complemented
193#476×C67C2211yescharacteristic, complemented
194#465×C67C2211yescharacteristic, complemented
195#465×C67C2211yescharacteristic, complemented
196#460×C67C2211yescharacteristic, complemented
197#450×C67C2211yescharacteristic, complemented
198#450×C67C2211yescharacteristic, complemented
199C4×SD16×C67C2211yescharacteristic, complemented
200C8×D4×C67C2211yescharacteristic, complemented
201C2×#102×C67C2211yescharacteristic, complemented
202C2×#102×C67C2211yescharacteristic, complemented
203C24×D67—21no—
204#14524088—42no—
205#14524088—42no—
206C2×#11761629C2311yescharacteristic
207C2×#11761628C2311yescharacteristic
208C2×#11761628C2311yescharacteristic
209C2×#11761628C2311yescharacteristic, complemented
210C2×#11761627—21no—
211C2×#11761627C2311yescharacteristic
212C2×#11761627C2311yescharacteristic
213C22×Dic134C2311yescharacteristic
214C2×Q8×D67C2311yescharacteristic, complemented
215C22×D268C2311yescharacteristic
216C22×C22⋊D67—21no—
217C22×C22⋊D67—21no—
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—42no—
226C2×D4×D67—42no—
227C2×D4×D67C2311yescharacteristic
228C2×D4×D67C2311yescharacteristic
229C2×D4×D67C2311yescharacteristic
230C2×D4×D67C2311yescharacteristic
231C2×D4×D67C2311yescharacteristic
232C22×C4×D67C2311yescharacteristic
233#14524072—42no—
234#14524070—42no—
235#14524070—42no—
236#14524069—42no—
237#14524065—42no—
238C2×Dic268C2311yescharacteristic, complemented
239C2×Dic268C2311yescharacteristic, complemented
240C2×#11761618C2311yescharacteristic, complemented
241C2×#11761617—42no—
242C2×#11761617C2311yescharacteristic
243C2×#11761617C2311yescharacteristic
244C2×#11761617C2311yescharacteristic
245C2×#11761617C2311yescharacteristic
246C2×#11761617C2311yescharacteristic, complemented
247C2×#11761616—42no—
248C2×#11761616C2311yescharacteristic
249C2×#11761616C2311yescharacteristic
250C2×#11761616C2311yescharacteristic
251C2×#11761616C2311yescharacteristic
252C2×#11761616C2311yescharacteristic, complemented
253C2×#11761616C2311yescharacteristic, complemented
254C2×#11761615C2311yescharacteristic
255C2×#11761615C2311yescharacteristic
256SD16×D67—42no—
257C2×D536C2311yescharacteristic
258C2×D536C2311yescharacteristic
259C2×#11761613C2311yescharacteristic
260C2×#11761613C2311yescharacteristic
261C2×#11761613C2311yescharacteristic, complemented
262C2×#11761612C2311yescharacteristic, complemented
263C2×#11761611C2311yescharacteristic
264C2×#11761611C2311yescharacteristic
265C2×#11761611C2311yescharacteristic, complemented
266C22×C67⋊C8C2311yescharacteristic
267C2×C8×D67C2311yescharacteristic, complemented
268#14524042—21no—
269#14524042—21no—
270#14524041C2311yescharacteristic, complemented
271#14524039—21no—
272#14524039C2311yescharacteristic
273#14524038—21no—
274#14524038—21no—
275#14524038—21no—
276#14524038—21no—
277#14524038—21no—
278#14524038—21no—
279#14524037—21no—
280#14524035—21no—
281#14524034C2311yescharacteristic, complemented
282#14524033—21no—
283#14524033—21no—
284#14524032—21no—
285#14524032—21no—
286#14524031—21no—
287#14524031C2311yescharacteristic
288#14524031C2311yescharacteristic, complemented
289#14524030C2311yescharacteristic
290#14524029—21no—
291#14524029—21no—
292#14524029—21no—
293#14524028—21no—
294#14524028—21no—
295#14524028—21no—
296#14524028—21no—
297#14524028—21no—
298#14524028—21no—
299#14524028D411yescharacteristic
300#14524027—21no—
301#14524026—21no—
302#14524025—21no—
303#14524025—21no—
304#14524025—21no—
305#14524025—21no—
306#14524025D411yescharacteristic
307#14524024—21no—
308#14524023—21no—
309#14524023—21no—
310#14524023—21no—
311#14524023—21no—
312#14524023C2311yescharacteristic
313#14524023C2311yescharacteristic
314#14524023C2311yescharacteristic
315#14524023C2311yescharacteristic
316#14524023C2311yescharacteristic
317#14524023C2311yescharacteristic, complemented
318#14524022C2311yescharacteristic
319#14524022C2311yescharacteristic, complemented
320#14524021—21no—
321#14524021—21no—
322#14524021D411yescharacteristic
323#14524020—21no—
324#14524020D411yescharacteristic
325#14524019—21no—
326#14524019C2311yescharacteristic
327#14524018—21no—
328#14524018—21no—
329#14524018C2311yescharacteristic
330#14524018C2311yescharacteristic
331#14524018C2311yescharacteristic, complemented
332#14524017—21no—
333#14524017—21no—
334#14524017—21no—
335#14524017—21no—
336#14524017C2311yescharacteristic
337#14524017C2311yescharacteristic
338#14524016—21no—
339#14524016—21no—
340#14524016—21no—
341#14524016D411yescharacteristic
342#14524015—21no—
343#14524015—21no—
344#14524015—21no—
345#14524015—21no—
346#14524015—21no—
347#14524015D411yescharacteristic
348#14524014—21no—
349#14524014—21no—
350#14524014C2311yescharacteristic
351#14524014C2311yescharacteristic
352#14524013—21no—
353#14524013—21no—
354#14524013—21no—
355#14524013—21no—
356#14524013D411yescharacteristic
357#14524012—21no—
358#14524012—21no—
359#14524011—21no—
360#14524011—21no—
361#14524011—21no—
362#14524011—21no—
363#14524011—21no—
364#14524011—21no—
365#14524011—21no—
366#14524011—21no—
367#14524011—21no—
368#14524011—21no—
369#14524011D411yescharacteristic
370Q8×Dic67—21no—
371C4×Dic134C2311yescharacteristic, complemented
372#14524008C2311yescharacteristic, complemented
373C4×D268—21no—
374C4×D268C2311yescharacteristic
375C4×D268C2311yescharacteristic
376D4×Dic67—21no—
377D4×Dic67C2311yescharacteristic
378#14524005—21no—
379#14524005C2311yescharacteristic
380#14524005C2311yescharacteristic, complemented
381C4×C22⋊D67—21no—
382C4×C22⋊D67—21no—
383C4×C22⋊D67C2311yescharacteristic
384C4×C22⋊D67C2311yescharacteristic
385(C22⋊D67)⋊C4—21no—
386(C22⋊D67)⋊C4—21no—
387(C22⋊D67)⋊C4—21no—
388(C22⋊D67)⋊C4—21no—
389(C22⋊D67)⋊C4—21no—
390#14524002—21no—
391#14524001C2311yescharacteristic
392#14524001C2311yescharacteristic
393#14524001C2311yescharacteristic, complemented
394#14524000C2311yescharacteristic
395C2×C4⋊Dic67—21no—
396C4⋊C4×D67—21no—
397C2×C22⋊Dic67—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#14523976C2311yescharacteristic, complemented
405#14523976C2311yescharacteristic, complemented
406#14523976C2311yescharacteristic, complemented
407#14523976C2311yescharacteristic, complemented
408#14523975C2311yescharacteristic, 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#14523966C2311yescharacteristic, complemented
420#14523966C2311yescharacteristic, complemented
421#14523965C2311yescharacteristic
422#14523965C2311yescharacteristic
423#14523965C2311yescharacteristic, complemented
424#14523964C2311yescharacteristic
425#14523964C2311yescharacteristic
426#14523964C2311yescharacteristic, complemented
427#14523963C2311yescharacteristic
428#14523963C2311yescharacteristic
429#14523963C2311yescharacteristic
430#14523963C2311yescharacteristic
431#14523963C2311yescharacteristic
432#14523963C2311yescharacteristic
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
447C22×D4×C67—21no—
448C22×D4×C67C2311yescharacteristic
449C22×D4×C67C2311yescharacteristic
450C2×SD16×C67C2311yescharacteristic
451C2×SD16×C67C2311yescharacteristic
452C2×SD16×C67C2311yescharacteristic, complemented
453C22×C8×C67C2311yescharacteristic
454C22×C8×C67C2311yescharacteristic, complemented
455C4⋊Q8×C67C2311yescharacteristic, complemented
456#127×C67C2311yescharacteristic
457#125×C67—21no—
458C22⋊Q8×C67—21no—
459C22⋊Q8×C67—21no—
460C22⋊Q8×C67C2311yescharacteristic
461C22⋊Q8×C67C2311yescharacteristic, complemented
462#121×C67—21no—
463#121×C67C2311yescharacteristic
464#121×C67C2311yescharacteristic
465#120×C67—21no—
466#120×C67—21no—
467C4×Q8×C67C2311yescharacteristic, complemented
468C4×D4×C67—21no—
469C4×D4×C67C2311yescharacteristic
470C4×D4×C67C2311yescharacteristic
471C2×C4⋊C4×C67C2311yescharacteristic
472C2×C4⋊C4×C67C2311yescharacteristic, complemented
473#106×C67C2311yescharacteristic, complemented
474#106×C67C2311yescharacteristic, complemented
475#106×C67C2311yescharacteristic, complemented
476C4⋊C8×C67C2311yescharacteristic, complemented
477#103×C67C2311yescharacteristic, complemented
478#102×C67C2311yescharacteristic
479#102×C67C2311yescharacteristic
480#102×C67C2311yescharacteristic
481#102×C67C2311yescharacteristic
482#102×C67C2311yescharacteristic
483#102×C67C2311yescharacteristic
484#102×C67C2311yescharacteristic, complemented
485#102×C67C2311yescharacteristic, complemented
486#102×C67C2311yescharacteristic, complemented
487C22⋊C8×C67C2311yescharacteristic
488C22⋊C8×C67C2311yescharacteristic, complemented
489C4×C8×C67C2311yescharacteristic, complemented
490C23×D67—21no—
491C23×D67—21no—
492C23×D67—21no—
493C23×D67—21no—
494C23×D67—21no—
495C23×D67—21no—
496C23×D67—44no—
497C23×D67—82no—
498C23×D67—82no—
499C23×D67C2×D411yescharacteristic
500#11761629—41no—
501#11761629—41no—
502#11761628—22no—
503#11761628—41no—
504#11761628—41no—
505#11761628—41no—
506#11761628—41no—
507#11761628—41no—
508#11761627—22no—
509#11761627—41no—
510#11761627—41no—
511#11761627—41no—
512#11761627—44no—
513C2×Dic134—21no—
514C2×Dic134—21no—
515C2×Dic134—41no—
516C2×Dic134—41no—
517C2×Dic134C2×D411yescharacteristic
518C2×Dic134C2411yescharacteristic
519C2×Dic134C2411yescharacteristic
520C2×Dic134C2411yescharacteristic
521Q8×D67—41no—
522Q8×D67—41no—
523C2×D268—22no—
524C2×D268—21no—
525C2×D268—21no—
526C2×D268—21no—
527C2×D268—21no—
528C2×D268—21no—
529C2×D268—41no—
530C2×D268C2×D411yescharacteristic
531C2×D268C2×D411yescharacteristic
532C2×D268C2411yescharacteristic
533C2×D268C2411yescharacteristic
534C2×D268C2411yescharacteristic
535C2×C22⋊D67—21no—
536C2×C22⋊D67—21no—
537C2×C22⋊D67—21no—
538C2×C22⋊D67—21no—
539C2×C22⋊D67—21no—
540C2×C22⋊D67—21no—
541C2×C22⋊D67—21no—
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—44no—
551C2×C22⋊D67—44no—
552C2×C22⋊D67—44no—
553C2×C22⋊D67—82no—
554C2×C22⋊D67C2×D411yescharacteristic
555C2×C22⋊D67C2×D411yescharacteristic
556C2×C22⋊D67C2×D411yescharacteristic
557C2×C22⋊D67C2×D411yescharacteristic
558D4×D67—22no—
559D4×D67—22no—
560D4×D67—22no—
561D4×D67—22no—
562D4×D67—22no—
563D4×D67—41no—
564D4×D67—41no—
565D4×D67—41no—
566D4×D67—41no—
567D4×D67—41no—
568D4×D67—44no—
569D4×D67—44no—
570D4×D67—44no—
571D4×D67—82no—
572D4×D67—82no—
573C22×Dic67—21no—
574C22×Dic67—21no—
575C22×Dic67—21no—
576C22×Dic67—21no—
577C22×Dic67C2×D411yescharacteristic
578C2×C4×D67—21no—
579C2×C4×D67—21no—
580C2×C4×D67—21no—
581C2×C4×D67—21no—
582C2×C4×D67—21no—
583C2×C4×D67—21no—
584C2×C4×D67—21no—
585C2×C4×D67—41no—
586C2×C4×D67—41no—
587C2×C4×D67C2×D411yescharacteristic
588C2×C4×D67C2×D411yescharacteristic
589C2×C4×D67C2411yescharacteristic
590C2×C4×D67C2411yescharacteristic
591C2×C4×D67C2411yescharacteristic
592Dic268—41no—
593Dic268—41no—
594#11761618—41no—
595#11761617—22no—
596#11761617—22no—
597#11761617—41no—
598#11761617—41no—
599#11761617—41no—
600#11761616—22no—
601#11761616—22no—
602#11761616—41no—
603#11761616—41no—
604#11761616—41no—
605#11761616—41no—
606#11761615—22no—
607#11761615—41no—
608D536—22no—
609D536—41no—
610#11761613—22no—
611#11761613—41no—
612#11761613—41no—
613#11761612—41no—
614#11761611—41no—
615#11761611—41no—
616#11761611—41no—
617C2×C67⋊C8—41no—
618C2×C67⋊C8C2411yescharacteristic
619C2×C67⋊C8C2411yescharacteristic
620C2×C67⋊C8C2411yescharacteristic
621C2×C67⋊C8C2411yescharacteristic
622C8×D67—41no—
623C4⋊Dic67—21no—
624C4⋊Dic67—21no—
625C4⋊Dic67—21no—
626C4⋊Dic67—21no—
627C4⋊Dic67—21no—
628C4⋊Dic67—21no—
629C4⋊Dic67—21no—
630C4⋊Dic67C2×D411yescharacteristic
631C4⋊Dic67C2411yescharacteristic
632C4⋊Dic67C2411yescharacteristic
633Dic67⋊C4—21no—
634Dic67⋊C4—21no—
635Dic67⋊C4—21no—
636Dic67⋊C4—21no—
637Dic67⋊C4—21no—
638Dic67⋊C4—21no—
639Dic67⋊C4—21no—
640Dic67⋊C4—21no—
641Dic67⋊C4C2×D411yescharacteristic
642Dic67⋊C4C2×D411yescharacteristic
643Dic67⋊C4C2×D411yescharacteristic
644Dic67⋊C4C2×D411yescharacteristic
645C22⋊Dic67—21no—
646C22⋊Dic67—21no—
647C22⋊Dic67—21no—
648C22⋊Dic67—21no—
649C22⋊Dic67—21no—
650C22⋊Dic67—21no—
651C22⋊Dic67—21no—
652C22⋊Dic67C2×D411yescharacteristic
653C22⋊Dic67C2×D411yescharacteristic
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)⋊C4C2×D411yescharacteristic
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
682C4×Dic67—21no—
683C4×Dic67—21no—
684C4×Dic67—21no—
685C4×Dic67—21no—
686C4×Dic67—21no—
687C4×Dic67C2411yescharacteristic
688C24×C67—21no—
689C24×C67—21no—
690C2×Q8×C67—21no—
691C2×Q8×C67C2411yescharacteristic
692C2×D4×C67—22no—
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—21no—
700C2×D4×C67—41no—
701C2×D4×C67—41no—
702C2×D4×C67—82no—
703C2×D4×C67C2×D411yescharacteristic
704C2×D4×C67C2411yescharacteristic
705C2×D4×C67C2411yescharacteristic
706C2×D4×C67C2411yescharacteristic
707C22×C4×C67—21no—
708C22×C4×C67—21no—
709C22×C4×C67—21no—
710C22×C4×C67C2411yescharacteristic
711C22×C4×C67C2411yescharacteristic
712SD16×C67—22no—
713SD16×C67—41no—
714SD16×C67—41no—
715C2×C8×C67—41no—
716C2×C8×C67—41no—
717C2×C8×C67C2411yescharacteristic
718C2×C8×C67C2411yescharacteristic
719C2×C8×C67C2411yescharacteristic
720C2×C8×C67C2411yescharacteristic
721C4⋊C4×C67—21no—
722C4⋊C4×C67—21no—
723C4⋊C4×C67—21no—
724C4⋊C4×C67—21no—
725C4⋊C4×C67—21no—
726C4⋊C4×C67—21no—
727C4⋊C4×C67C2×D411yescharacteristic
728C4⋊C4×C67C2411yescharacteristic
729C4⋊C4×C67C2411yescharacteristic
730C4⋊C4×C67C2411yescharacteristic
731C4⋊C4×C67C2411yescharacteristic
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—42no—
747C23×C67—81no—
748C23×C67—81no—
749C23×C67—81no—
750C23×C67C22×D411yescharacteristic
751C23×C67C22×D411yescharacteristic
752C22×D67—22no—
753C22×D67—21no—
754C22×D67—24no—
755C22×D67—21no—
756C22×D67—21no—
757C22×D67—41no—
758C22×D67—41no—
759C22×D67—42no—
760C22×D67—42no—
761C22×D67—42no—
762C22×D67—42no—
763C22×D67—42no—
764C22×D67—42no—
765C22×D67—42no—
766C22×D67—42no—
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—81no—
783D4×C67—22no—
784D4×C67—21no—
785D4×C67—21no—
786D4×C67—21no—
787D4×C67—21no—
788D4×C67—21no—
789D4×C67—42no—
790D4×C67—42no—
791D4×C67—42no—
792D4×C67—81no—
793D4×C67—81no—
794D4×C67—81no—
795D4×C67H(5,𝔽2)12yes—
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—21no—
804C2×C4×C67—21no—
805C2×C4×C67—81no—
806C2×C4×C67—81no—
807C2×C4×C67—81no—
808C2×C4×C67C22×D411yescharacteristic
809C2×C4×C67C22×D411yescharacteristic
810C2×C4×C67C22×D411yescharacteristic
811C2×C4×C67C22×D411yescharacteristic
812C2×C4×C67C2511yescharacteristic
813C22⋊D67—24no—
814C22⋊D67—22no—
815C22⋊D67—41no—
816C22⋊D67—41no—
817C22⋊D67—41no—
818C22⋊D67—42no—
819C22⋊D67—42no—
820C22⋊D67—42no—
821C22⋊D67—42no—
822C22⋊D67—42no—
823C22⋊D67—42no—
824C22⋊D67—42no—
825C22⋊D67—42no—
826C22⋊D67—42no—
827C22⋊D67—81no—
828C22⋊D67—81no—
829C22⋊D67—81no—
830C22⋊D67—81no—
831C22⋊D67—81no—
832C2×Dic67—21no—
833C2×Dic67—21no—
834C2×Dic67—21no—
835C2×Dic67—21no—
836C2×Dic67—21no—
837C2×Dic67—41no—
838C2×Dic67—42no—
839C2×Dic67—42no—
840C2×Dic67—81no—
841C2×Dic67—81no—
842C2×Dic67C22×D411yescharacteristic
843C2×Dic67C22×D411yescharacteristic
844C2×Dic67C22×D411yescharacteristic
845C2×Dic67C22×D411yescharacteristic
846C2×Dic67C22×D411yescharacteristic
847D268—21no—
848D268—21no—
849D268—21no—
850D268—21no—
851D268—21no—
852D268—41no—
853D268—41no—
854D268—42no—
855D268—81no—
856D268—81no—
857D268—81no—
858D268—81no—
859D268H(5,𝔽2)12yes—
860C4×D67—21no—
861C4×D67—21no—
862C4×D67—21no—
863C4×D67—21no—
864C4×D67—21no—
865C4×D67—21no—
866C4×D67—41no—
867C4×D67—41no—
868C4×D67—42no—
869C4×D67—81no—
870C4×D67—81no—
871C4×D67—81no—
872C4×D67—81no—
873C4×D67—81no—
874C4×D67—81no—
875Dic134—21no—
876Dic134—21no—
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—41no—
904C22×C67—41no—
905C22×C67—41no—
906C22×C67—84no—
907C22×C67—162no—
908C22×C67#57712yes—
909C22×C67C23×D411yescharacteristic
910C2×D67—21no—
911C2×D67—21no—
912C2×D67—21no—
913C2×D67—21no—
914C2×D67—21no—
915C2×D67—21no—
916C2×D67—22no—
917C2×D67—21no—
918C2×D67—21no—
919C2×D67—21no—
920C2×D67—44no—
921C2×D67—41no—
922C2×D67—41no—
923C2×D67—41no—
924C2×D67—41no—
925C2×D67—41no—
926C2×D67—41no—
927C2×D67—41no—
928C2×D67—41no—
929C2×D67—84no—
930C2×D67—84no—
931C2×D67—84no—
932C2×D67—84no—
933C2×D67—84no—
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#3297—671no—
980#3295D6711yescharacteristic, complemented
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—671no—
1029#546—1341no—
1030#546—1341no—
1031D42—671no—
1032D42—671no—
1033D42—671no—
1034D42—1341no—
1035D42—1341no—
1036D42C2×D6711yescharacteristic
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#488—671no—
1063#486C2×D6711yescharacteristic, complemented
1064#485—671no—
1065#485—671no—
1066#485—671no—
1067#485—671no—
1068#484—671no—
1069#482—671no—
1070#482—671no—
1071#482—671no—
1072#482—671no—
1073#481C2×D6711yescharacteristic, complemented
1074#481C2×D6711yescharacteristic, complemented
1075#480—671no—
1076#478—671no—
1077#478—671no—
1078#476C2×D6711yescharacteristic, complemented
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#466—671no—
1091#465—671no—
1092#465—671no—
1093#465—671no—
1094#465C2×D6711yescharacteristic, complemented
1095#465C2×D6711yescharacteristic, complemented
1096#464—671no—
1097#464—671no—
1098#464—671no—
1099#463—671no—
1100#463—671no—
1101#463—671no—
1102#461—671no—
1103#461—671no—
1104#460—671no—
1105#460—671no—
1106#460C2×D6711yescharacteristic, complemented
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#450C2×D6711yescharacteristic, complemented
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#440—671no—
1148C4×SD16—671no—
1149C4×SD16—671no—
1150C4×SD16C2×D6711yescharacteristic, complemented
1151C4×D8—671no—
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#416—671no—
1167C2×#102—671no—
1168C2×#102C2×D6711yescharacteristic, complemented
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—671no—
1183C2×#41—1341no—
1184C22×Q8—671no—
1185C22×Q8—671no—
1186C22×D4—21no—
1187C22×D4—2682no—
1188C22×D4—2682no—
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×D4C22×D6711yescharacteristic
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×SD16C22×D6711yescharacteristic
1232C2×SD16C22×D6711yescharacteristic
1233C2×SD16C22×D6711yescharacteristic, complemented
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×M16—671no—
1243C22×C8—671no—
1244C22×C8—671no—
1245C22×C8C22×D6711yescharacteristic
1246C22×C8C22×D6711yescharacteristic, complemented
1247C4⋊Q8—671no—
1248C4⋊Q8—1341no—
1249C4⋊Q8—1341no—
1250C4⋊Q8C22×D6711yescharacteristic, complemented
1251#127—671no—
1252#127—1341no—
1253#127C22×D6711yescharacteristic
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—671no—
1269#124—1341no—
1270#124—1341no—
1271#124—1341no—
1272#124—1341no—
1273#124—1341no—
1274#124—1341no—
1275#123—671no—
1276#123—671no—
1277#123—1341no—
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—671no—
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⋊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—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#121—1341no—
1339#121C22×D6711yescharacteristic
1340#121C22×D6711yescharacteristic
1341#120—21no—
1342#120—21no—
1343#120—671no—
1344#120—671no—
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—1341no—
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#107—671no—
1404#107—671no—
1405#106—671no—
1406#106C22×D6711yescharacteristic, complemented
1407#106C22×D6711yescharacteristic, complemented
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#103—671no—
1421#103—671no—
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#102C22×D6711yescharacteristic
1437#102C22×D6711yescharacteristic
1438#102C22×D6711yescharacteristic
1439#102C22×D6711yescharacteristic
1440#102C22×D6711yescharacteristic
1441#102C22×D6711yescharacteristic
1442#102C22×D6711yescharacteristic, complemented
1443#102C22×D6711yescharacteristic, complemented
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—21no—
1463C24—2684no—
1464C24—5362no—
1465C24—5362no—
1466C24—671no—
1467C24—1341no—
1468C24—1341no—
1469C24—1341no—
1470C24—1341no—
1471C24—1341no—
1472C24—1341no—
1473#41—2681no—
1474#41—2681no—
1475#41—2681no—
1476#41—2681no—
1477#41—2681no—
1478#41—2684no—
1479#41—2681no—
1480#41—2681no—
1481#41—2681no—
1482#41—2681no—
1483#41—2681no—
1484#41—1342no—
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—671no—
1495C2×Q8—1341no—
1496C2×Q8—1341no—
1497C2×Q8C23×D6711yescharacteristic
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—41no—
1507C2×D4—41no—
1508C2×D4—82no—
1509C2×D4—2681no—
1510C2×D4—2684no—
1511C2×D4—2684no—
1512C2×D4—2684no—
1513C2×D4—2684no—
1514C2×D4—2684no—
1515C2×D4—2684no—
1516C2×D4—2681no—
1517C2×D4—2681no—
1518C2×D4—2681no—
1519C2×D4—2681no—
1520C2×D4—2681no—
1521C2×D4—5362no—
1522C2×D4—5362no—
1523C2×D4—5362no—
1524C2×D4—671no—
1525C2×D4—671no—
1526C2×D4—671no—
1527C2×D4—671no—
1528C2×D4—671no—
1529C2×D4—671no—
1530C2×D4—671no—
1531C2×D4—671no—
1532C2×D4—671no—
1533C2×D4—1342no—
1534C2×D4—1341no—
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—1342no—
1546C2×D4—1342no—
1547C2×D4—1342no—
1548C2×D4—1341no—
1549C2×D4—1341no—
1550C2×D4—1341no—
1551C2×D4—1341no—
1552C2×D4—1341no—
1553C2×D4—1342no—
1554C2×D4—1341no—
1555C2×D4—1341no—
1556C2×D4—1341no—
1557C2×D4—1342no—
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—2681no—
1567C22×C4—2681no—
1568C22×C4—671no—
1569C22×C4—671no—
1570C22×C4—671no—
1571C22×C4—671no—
1572C22×C4—671no—
1573C22×C4—671no—
1574C22×C4—1341no—
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—22no—
1591SD16—41no—
1592SD16—41no—
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—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—21no—
1632C4⋊C4—21no—
1633C4⋊C4—671no—
1634C4⋊C4—671no—
1635C4⋊C4—671no—
1636C4⋊C4—671no—
1637C4⋊C4—671no—
1638C4⋊C4—671no—
1639C4⋊C4—671no—
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—671no—
1666C22⋊C4—671no—
1667C22⋊C4—671no—
1668C22⋊C4—671no—
1669C22⋊C4—671no—
1670C22⋊C4—671no—
1671C22⋊C4—671no—
1672C22⋊C4—671no—
1673C22⋊C4—1341no—
1674C22⋊C4—1341no—
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—21no—
1715C23—42no—
1716C23—42no—
1717C23—42no—
1718C23—81no—
1719C23—81no—
1720C23—81no—
1721C23—2681no—
1722C23—2681no—
1723C23—2682no—
1724C23—2682no—
1725C23—2682no—
1726C23—2682no—
1727C23—2682no—
1728C23—2682no—
1729C23—2682no—
1730C23—2682no—
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—81no—
1754Q8—2681no—
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—81no—
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—2682no—
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—81no—
1818C2×C4—81no—
1819C2×C4—81no—
1820C2×C4—2682no—
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—162no—
1888C22—5364no—
1889C22—5364no—
1890C22—5364no—
1891C22—5364no—
1892C22—5364no—
1893C22—10722no—
1894C22—1341no—
1895C22—1341no—
1896C22—1342no—
1897C22—1341no—
1898C22—1341no—
1899C22—1341no—
1900C22—1341no—
1901C22—1341no—
1902C22—1341no—
1903C22—1341no—
1904C22#1686420212yes—
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×#1686420211yescharacteristic
1940C2#2257498411yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3295C2
socleC22×C67C23×D4
hypercenter#3295D67
hypocenterC67#61610
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3295

Complements

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

NH ≅ G/Ntype
1. #22574503C2semidirect
2. #22573837C2semidirect
3. #22572439C2semidirect
4. #22572428C2semidirect
5. #22572348C2semidirect
6. #22572284C2semidirect
7. #22572242C2semidirect
8. #22572226C2semidirect
9. #22572055C2semidirect
10. #22571921C2semidirect
11. #22571902C2semidirect
12. #22571842C2semidirect
13. #22571807C2semidirect
14. #22571731C2semidirect
15. #22571723C2semidirect
16. #22571700C2semidirect
17. #22571699C2semidirect
18. #22571306C2semidirect
19. #22571280C2semidirect
20. #22571075C2semidirect
21. #22571066C2semidirect
22. #22571038C2semidirect
23. #22570998C2semidirect
24. #22570458C2semidirect
25. #22570398C2semidirect
26. #22569518C2semidirect
27. #22569481C2semidirect
28. #22569437C2semidirect
29. C2×#16863548C2semidirect
30. #22569251C2semidirect
31. C67×#3295C2semidirect
34. C2×#14524072C22semidirect
35. C2×#14524070C22semidirect
36. C2×#14524070C22semidirect
37. C2×#14524069C22semidirect
38. C2×#14524065C22semidirect
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
76. #16863909C22semidirect
79. C2×#14524023C22semidirect
83. #16863787C22semidirect
84. #16863783C22semidirect
85. #16863780C22semidirect
86. #16863767C22semidirect
87. #16863759C22semidirect
88. #16863758C22semidirect
89. #16863749C22semidirect
90. #16863740C22semidirect
91. #16863740C22semidirect
92. #16863740C22semidirect
93. #16863735C22semidirect
94. #16863731C22semidirect
95. #16863722C22semidirect
96. #16863722C22semidirect
97. #16863719C22semidirect
98. #16863719C22semidirect
99. #16863709C22semidirect
100. #16863698C22semidirect
101. #16863695C22semidirect
102. #16863673C22semidirect
103. #16863655C22semidirect
104. #16863655C22semidirect
105. #16863650C22semidirect
106. #16863644C22semidirect
107. #16863641C22semidirect
108. #16863641C22semidirect
109. #16863641C22semidirect
110. #16863640C22semidirect
111. #16863635C22semidirect
112. #16863631C22semidirect
113. #16863630C22semidirect
114. #16863626C22semidirect
115. #16863625C22semidirect
116. #16863625C22semidirect
117. #16863619C22semidirect
118. #16863618C22semidirect
119. #16863617C22semidirect
120. #16863612C22semidirect
121. #16863611C22semidirect
122. #16863610C22semidirect
123. #16863600C22semidirect
124. #16863599C22semidirect
125. #16863595C22semidirect
126. #16863593C22semidirect
127. #16863590C22semidirect
128. #16863561C22semidirect
129. #16863560C22semidirect
130. #16863559C22semidirect
131. #16863559C22semidirect
132. #16863559C22semidirect
133. #16863556C22semidirect
134. #16863555C22semidirect
135. #16863554C22semidirect
138. #16863548C22semidirect
139. #16863548C22semidirect
140. #16863548C22semidirect
141. #16863548C22semidirect
142. #16863548C22semidirect
143. #16863548C22semidirect
144. #16863548C22semidirect
145. #16863547C22semidirect
146. #16863546C22semidirect
148. #16863545C22semidirect
149. #16863543C22semidirect
150. #16863542C22semidirect
151. #16863542C22semidirect
152. #16863540C22semidirect
153. #16863539C22semidirect
154. #16863536C22semidirect
155. #16863534C22semidirect
156. #16863533C22semidirect
157. #16863532C22semidirect
159. #16863531C22semidirect
160. #16863531C22semidirect
161. #16863530C22semidirect
162. #16863507C22semidirect
163. #16863496C22semidirect
164. #16863494C22semidirect
165. #16863493C22semidirect
166. C4×#11761617C22semidirect
167. #16863483C22semidirect
168. #16863476C22semidirect
169. #16863475C22semidirect
170. #16863471C22semidirect
171. #16863468C22semidirect
172. #16863467C22semidirect
173. #16863466C22semidirect
174. #16863464C22semidirect
175. C8×C22⋊D67C22semidirect
176. #16863456C22semidirect
177. #16863455C22semidirect
178. #16863399C22semidirect
179. #16863399C22semidirect
180. #16863399C22semidirect
181. #16863395C22semidirect
182. #16863389C22semidirect
183. C2×#14523963C22semidirect
184. #16863362C22semidirect
185. #16863361C22semidirect
186. #16863358C22semidirect
187. C2×(C2×D67)⋊C8C22semidirect
188. #554×C67C22semidirect
190. #486×C67C22semidirect
191. #481×C67C22semidirect
192. #481×C67C22semidirect
193. #476×C67C22semidirect
194. #465×C67C22semidirect
195. #465×C67C22semidirect
196. #460×C67C22semidirect
197. #450×C67C22semidirect
198. #450×C67C22semidirect
199. C4×SD16×C67C22semidirect
200. C8×D4×C67C22semidirect
201. C2×#102×C67C22semidirect
202. C2×#102×C67C22semidirect
209. C2×#11761628C23semidirect
214. C2×Q8×D67C23semidirect
238. C2×Dic268C23semidirect
239. C2×Dic268C23semidirect
240. C2×#11761618C23semidirect
246. C2×#11761617C23semidirect
252. C2×#11761616C23semidirect
253. C2×#11761616C23semidirect
261. C2×#11761613C23semidirect
262. C2×#11761612C23semidirect
265. C2×#11761611C23semidirect
267. C2×C8×D67C23semidirect
270. #14524041C23semidirect
281. #14524034C23semidirect
288. #14524031C23semidirect
317. #14524023C23semidirect
319. #14524022C23semidirect
331. #14524018C23semidirect
371. C4×Dic134C23semidirect
372. #14524008C23semidirect
380. #14524005C23semidirect
393. #14524001C23semidirect
404. #14523976C23semidirect
405. #14523976C23semidirect
406. #14523976C23semidirect
407. #14523976C23semidirect
408. #14523975C23semidirect
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
419. #14523966C23semidirect
420. #14523966C23semidirect
423. #14523965C23semidirect
426. #14523964C23semidirect
433. #14523963C23semidirect
435. C22⋊(C67⋊C8)C23semidirect
442. (C2×D67)⋊C8C23semidirect
443. (C2×D67)⋊C8C23semidirect
444. #14523954C23semidirect
445. #14523953C23semidirect
446. C8×Dic67C23semidirect
452. C2×SD16×C67C23semidirect
454. C22×C8×C67C23semidirect
455. C4⋊Q8×C67C23semidirect
461. C22⋊Q8×C67C23semidirect
467. C4×Q8×C67C23semidirect
472. C2×C4⋊C4×C67C23semidirect
473. #106×C67C23semidirect
474. #106×C67C23semidirect
475. #106×C67C23semidirect
476. C4⋊C8×C67C23semidirect
477. #103×C67C23semidirect
484. #102×C67C23semidirect
485. #102×C67C23semidirect
486. #102×C67C23semidirect
488. C22⋊C8×C67C23semidirect
489. C4×C8×C67C23semidirect
980. #3295D67semidirect
1002. C67#61610semidirect
1017. #554C2×D67semidirect
1063. #486C2×D67semidirect
1073. #481C2×D67semidirect
1074. #481C2×D67semidirect
1078. #476C2×D67semidirect
1094. #465C2×D67semidirect
1095. #465C2×D67semidirect
1106. #460C2×D67semidirect
1129. #450C2×D67semidirect
1130. #450C2×D67semidirect
1150. C4×SD16C2×D67semidirect
1159. C8×D4C2×D67semidirect
1168. C2×#102C2×D67semidirect
1169. C2×#102C2×D67semidirect
1233. C2×SD16C22×D67semidirect
1246. C22×C8C22×D67semidirect
1250. C4⋊Q8C22×D67semidirect
1312. C22⋊Q8C22×D67semidirect
1364. C4×Q8C22×D67semidirect
1393. C2×C4⋊C4C22×D67semidirect
1406. #106C22×D67semidirect
1407. #106C22×D67semidirect
1408. #106C22×D67semidirect
1412. C4⋊C8C22×D67semidirect
1422. #103C22×D67semidirect
1442. #102C22×D67semidirect
1443. #102C22×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
#225745032
#225738372
#225724392
#225724282
#225723482
#225722842
#225722422
#225722262
#225720552
#225719212
#225719022
#225718422
#225718072
#225717312
#225717232
#225717002
#225716992
#225713062
#225712802
#225710752
#225710662
#225710382
#225709982
#225704582
#225703982
#225695182
#225694812
#225694372
C2×#168635482
#225692512
C67×#32952
#6161067