Finite Group Databasebeta

← #31733403

Subgroups — #31733403

Order 17152.

2286 conjugacy classes of subgroups.

The subgroup lattice has 1930 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22573933C211yesmaximal, characteristic, complemented
2#22573839C211yesmaximal, characteristic, complemented
3#22572448C211yesmaximal, characteristic, complemented
4#22572446C211yesmaximal, characteristic, complemented
5#22572417C211yesmaximal, characteristic, complemented
6#22572411C211yesmaximal, characteristic, complemented
7#22572369C211yesmaximal, characteristic, complemented
8#22572364C211yesmaximal, characteristic, complemented
9#22572355C211yesmaximal, characteristic, complemented
10#22572354C211yesmaximal, characteristic, complemented
11#22572352C211yesmaximal, characteristic, complemented
12#22572348C211yesmaximal, characteristic, complemented
13#22572168C211yesmaximal, characteristic, complemented
14#22572065C211yesmaximal, characteristic, complemented
15#22572059C211yesmaximal, characteristic, complemented
16#22572018C211yesmaximal, characteristic, complemented
17#22572016C211yesmaximal, characteristic, complemented
18#22570560C211yesmaximal, characteristic, complemented
19#22570166C211yesmaximal, characteristic, complemented
20#22570123C211yesmaximal, characteristic, complemented
21#22570035C211yesmaximal, characteristic, complemented
22#22569855C211yesmaximal, characteristic, complemented
23#22569821C211yesmaximal, characteristic, complemented
24#22569710C211yesmaximal, characteristic, complemented
25#22569474C211yesmaximal, characteristic, complemented
26#447×D67C211yesmaximal, characteristic, complemented
27#22569058C211yesmaximal, characteristic, complemented
28#22568935C211yesmaximal, characteristic, complemented
29#22568733C211yesmaximal, characteristic, complemented
30C2×#16863399C211yesmaximal, characteristic, complemented
31C67×#3306C211yesmaximal, characteristic, complemented
32C2×#14524089C2211yescharacteristic
33C22×D4×D67C2211yescharacteristic
34C2×#14524070C2211yescharacteristic, complemented
35C2×D8×D67C2211yescharacteristic
36C2×D8×D67C2211yescharacteristic, complemented
37C2×#14524051C2211yescharacteristic, complemented
38C22×#11761611C2211yescharacteristic, complemented
39#16864112C2211yescharacteristic, complemented
40#16864110C2211yescharacteristic, complemented
41#16864098C2211yescharacteristic, complemented
42#16864096C2211yescharacteristic, complemented
43#16864094C2211yescharacteristic, complemented
44#16864092C2211yescharacteristic, complemented
45#16864074—21no—
46#16864073—21no—
47#16864047C2211yescharacteristic, complemented
48#16864039C2211yescharacteristic, complemented
49#16864038—21no—
50#16864038—21no—
51#16864037C2211yescharacteristic, complemented
52#16864036—21no—
53#16864034—21no—
54#16864034C2211yescharacteristic, complemented
55D4×D268C2211yescharacteristic, complemented
56D4×D268C2211yescharacteristic, complemented
57#16864030—21no—
58#16864030C2211yescharacteristic, complemented
59D4×C22⋊D67C2211yescharacteristic, complemented
60#16864028—21no—
61#16864023C2211yescharacteristic, complemented
62#16864016—21no—
63#16863998—21no—
64#16863964C2211yescharacteristic
65#16863962C2211yescharacteristic
66#16863962C2211yescharacteristic, complemented
67#16863957—21no—
68#16863954—21no—
69#16863942—21no—
70#16863923—21no—
71#16863909C2211yescharacteristic
72#16863905C2211yescharacteristic
73#121×D67C2211yescharacteristic, complemented
74C2×#14524013—21no—
75#120×D67—21no—
76#16863877C2211yescharacteristic, complemented
77#16863868C2211yescharacteristic
78#16863868C2211yescharacteristic, complemented
79C2×#14524001C2211yescharacteristic, complemented
80#16863761C2211yescharacteristic, complemented
81#16863759C2211yescharacteristic, complemented
82#16863757C2211yescharacteristic, complemented
83#16863752C2211yescharacteristic, complemented
84#16863750C2211yescharacteristic, complemented
85#16863744C2211yescharacteristic, complemented
86#16863741C2211yescharacteristic, complemented
87#16863735C2211yescharacteristic, complemented
88#16863735C2211yescharacteristic, complemented
89#16863729C2211yescharacteristic, complemented
90#16863722C2211yescharacteristic, complemented
91#16863722C2211yescharacteristic, complemented
92#16863722C2211yescharacteristic, complemented
93#16863721C2211yescharacteristic, complemented
94#16863719C2211yescharacteristic, complemented
95#16863717C2211yescharacteristic, complemented
96#16863716C2211yescharacteristic, complemented
97#16863715C2211yescharacteristic, complemented
98#16863709C2211yescharacteristic, complemented
99#16863709C2211yescharacteristic, complemented
100#16863708C2211yescharacteristic, complemented
101#16863698C2211yescharacteristic, complemented
102#16863697C2211yescharacteristic, complemented
103#16863696C2211yescharacteristic, complemented
104#16863695C2211yescharacteristic, complemented
105#16863685C2211yescharacteristic, complemented
106#16863674C2211yescharacteristic, complemented
107#16863673C2211yescharacteristic, complemented
108#16863650C2211yescharacteristic, complemented
109#16863650C2211yescharacteristic, complemented
110#16863649C2211yescharacteristic, complemented
111#16863648C2211yescharacteristic, complemented
112#16863646C2211yescharacteristic, complemented
113#16863645C2211yescharacteristic, complemented
114#16863639C2211yescharacteristic, complemented
115#16863632C2211yescharacteristic, complemented
116#16863631C2211yescharacteristic, complemented
117#16863631C2211yescharacteristic, complemented
118#16863630C2211yescharacteristic, complemented
119#16863630C2211yescharacteristic, complemented
120#16863630C2211yescharacteristic, complemented
121#16863627C2211yescharacteristic, complemented
122#16863614C2211yescharacteristic, complemented
123#16863613C2211yescharacteristic, complemented
124#16863608C2211yescharacteristic, complemented
125#16863592C2211yescharacteristic, complemented
126#16863591C2211yescharacteristic, complemented
127#16863590C2211yescharacteristic, complemented
128#16863589C2211yescharacteristic, complemented
129#16863544C2211yescharacteristic, complemented
130#16863541C2211yescharacteristic, complemented
131#16863540C2211yescharacteristic, complemented
132#16863532C2211yescharacteristic, complemented
133#16863532C2211yescharacteristic, complemented
134#16863531C2211yescharacteristic, complemented
135#16863531C2211yescharacteristic, complemented
136#16863531C2211yescharacteristic, complemented
137#16863530C2211yescharacteristic, complemented
138#16863529C2211yescharacteristic, complemented
139#16863529C2211yescharacteristic, complemented
140#16863528C2211yescharacteristic, complemented
141#16863528C2211yescharacteristic, complemented
142#16863528C2211yescharacteristic, complemented
143#16863509C2211yescharacteristic, complemented
144#16863508C2211yescharacteristic, complemented
145#16863507C2211yescharacteristic, complemented
146C4×#11761613C2211yescharacteristic, complemented
147C4×#11761613C2211yescharacteristic, complemented
148#16863476C2211yescharacteristic, complemented
149#16863476C2211yescharacteristic, complemented
150#16863473C2211yescharacteristic, complemented
151#16863472C2211yescharacteristic, complemented
152#16863469C2211yescharacteristic, complemented
153#16863464C2211yescharacteristic, complemented
154#16863464C2211yescharacteristic, complemented
155D4×C67⋊C8C2211yescharacteristic, complemented
156C8×C22⋊D67C2211yescharacteristic, complemented
157#16863435C2211yescharacteristic, complemented
158#16863431C2211yescharacteristic, complemented
159#16863431C2211yescharacteristic, complemented
160#16863421C2211yescharacteristic, complemented
161#16863402C2211yescharacteristic, complemented
162#16863399C2211yescharacteristic
163#16863399C2211yescharacteristic
164#16863399C2211yescharacteristic, complemented
165#16863399C2211yescharacteristic, complemented
166#16863399C2211yescharacteristic, complemented
167#16863399C2211yescharacteristic, complemented
168#16863399C2211yescharacteristic, complemented
169#16863399C2211yescharacteristic, complemented
170#16863399C2211yescharacteristic, complemented
171#16863399C2211yescharacteristic, complemented
172#16863396C2211yescharacteristic, complemented
173#16863396C2211yescharacteristic, complemented
174#16863392C2211yescharacteristic, complemented
175#16863391C2211yescharacteristic, complemented
176#16863391C2211yescharacteristic, complemented
177#16863391C2211yescharacteristic, complemented
178C2×#14523965C2211yescharacteristic, complemented
179C2×#14523964C2211yescharacteristic, complemented
180C2×#14523963C2211yescharacteristic, complemented
181C2×#14523963C2211yescharacteristic, complemented
182#102×D67C2211yescharacteristic
183#102×D67C2211yescharacteristic, complemented
184#102×D67C2211yescharacteristic, complemented
185#16863361C2211yescharacteristic, complemented
186C22⋊C8×D67C2211yescharacteristic, complemented
187#16863353C2211yescharacteristic, complemented
188#547×C67C2211yescharacteristic, complemented
189#546×C67C2211yescharacteristic, complemented
190#489×C67C2211yescharacteristic, complemented
191#483×C67C2211yescharacteristic, complemented
192#481×C67C2211yescharacteristic, complemented
193#476×C67C2211yescharacteristic, complemented
194#469×C67C2211yescharacteristic, complemented
195#465×C67C2211yescharacteristic, complemented
196#463×C67C2211yescharacteristic, complemented
197#449×C67C2211yescharacteristic, complemented
198#447×C67C2211yescharacteristic, complemented
199#442×C67C2211yescharacteristic, complemented
200#435×C67C2211yescharacteristic, complemented
201#417×C67C2211yescharacteristic, complemented
202C2×#102×C67C2211yescharacteristic, complemented
203C24×D67—21no—
204#14524089—24no—
205#14524089—42no—
206C2×#11761629C2311yescharacteristic
207C2×#11761629C2311yescharacteristic
208C2×#11761628—21no—
209C2×#11761628—21no—
210C2×#11761628C2311yescharacteristic
211C22×D268—21no—
212C22×D268—21no—
213C22×D268C2311yescharacteristic
214C22×D268C2311yescharacteristic
215C22×C22⋊D67—21no—
216C22×C22⋊D67—21no—
217C2×D4×D67—24no—
218C2×D4×D67—21no—
219C2×D4×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×D67C2311yescharacteristic
227C2×D4×D67C2311yescharacteristic
228C2×D4×D67C2311yescharacteristic
229C2×D4×D67C2311yescharacteristic
230C2×D4×D67C2311yescharacteristic
231C2×D4×D67C2311yescharacteristic
232C22×C4×D67C2311yescharacteristic
233#14524070—42no—
234C2×#11761615C2311yescharacteristic, complemented
235C2×D536C2311yescharacteristic
236C2×D536C2311yescharacteristic
237C2×D536C2311yescharacteristic, complemented
238C2×#11761613C2311yescharacteristic
239C2×#11761613C2311yescharacteristic
240C2×#11761613C2311yescharacteristic
241C2×#11761613C2311yescharacteristic
242C2×#11761613C2311yescharacteristic, complemented
243D8×D67—24no—
244D8×D67—42no—
245#14524051—42no—
246C2×#11761611—42no—
247C2×#11761611C2311yescharacteristic
248C2×#11761611C2311yescharacteristic
249C2×#11761611C2311yescharacteristic
250C2×#11761611C2311yescharacteristic
251C2×#11761611C2311yescharacteristic, complemented
252C22×C67⋊C8C2311yescharacteristic
253C22×C67⋊C8C2311yescharacteristic, complemented
254C2×C8×D67C2311yescharacteristic
255C2×C8×D67C2311yescharacteristic
256C2×C8×D67C2311yescharacteristic, complemented
257#14524042C2311yescharacteristic, complemented
258#14524041—21no—
259#14524040C2311yescharacteristic
260#14524039—21no—
261#14524039—21no—
262#14524039C2311yescharacteristic
263#14524038—21no—
264#14524038—21no—
265#14524036—21no—
266#14524036—21no—
267#14524035C2311yescharacteristic, complemented
268#14524034C2311yescharacteristic, complemented
269#14524033—21no—
270#14524032—21no—
271#14524032—21no—
272#14524032C2311yescharacteristic
273#14524030—21no—
274#14524029—21no—
275#14524029—21no—
276#14524029—21no—
277#14524028—21no—
278#14524028—21no—
279#14524028—21no—
280#14524028—21no—
281#14524028D411yescharacteristic
282#14524027—21no—
283#14524026—21no—
284#14524026—21no—
285#14524026—21no—
286#14524025—21no—
287#14524025—21no—
288#14524025D411yescharacteristic
289#14524021—21no—
290#14524021—21no—
291#14524021D411yescharacteristic
292#14524020D411yescharacteristic
293#14524019—21no—
294#14524019C2311yescharacteristic
295#14524018—21no—
296#14524018—21no—
297#14524018—21no—
298#14524018C2311yescharacteristic
299#14524018C2311yescharacteristic
300#14524018C2311yescharacteristic
301#14524018C2311yescharacteristic, complemented
302#14524017—21no—
303#14524017—21no—
304#14524017C2311yescharacteristic
305#14524017C2311yescharacteristic
306#14524017C2311yescharacteristic
307#14524017C2311yescharacteristic, complemented
308#14524016—21no—
309#14524016—21no—
310#14524016—21no—
311#14524016—21no—
312#14524016—21no—
313#14524016—21no—
314#14524016D411yescharacteristic
315#14524015—21no—
316#14524015—21no—
317#14524015—21no—
318#14524015—21no—
319#14524015—21no—
320#14524015—21no—
321#14524015D411yescharacteristic
322#14524014C2311yescharacteristic
323#14524014C2311yescharacteristic
324#14524014C2311yescharacteristic, complemented
325#14524013—21no—
326#14524013—21no—
327#14524013—21no—
328#14524013—21no—
329#14524013—21no—
330#14524013—21no—
331#14524013—21no—
332#14524013—21no—
333#14524013—21no—
334#14524013—21no—
335#14524013—21no—
336#14524013—21no—
337#14524013D411yescharacteristic
338#14524012—21no—
339#14524011—21no—
340#14524011—21no—
341#14524011—21no—
342#14524011—21no—
343#14524011—21no—
344#14524011D411yescharacteristic
345#14524008—21no—
346C4×D268C2311yescharacteristic
347C4×D268C2311yescharacteristic
348C4×D268C2311yescharacteristic, complemented
349D4×Dic67—21no—
350D4×Dic67C2311yescharacteristic
351D4×Dic67C2311yescharacteristic, complemented
352#14524005—21no—
353#14524005—21no—
354#14524005C2311yescharacteristic
355#14524005C2311yescharacteristic, complemented
356C4×C22⋊D67—21no—
357C4×C22⋊D67—21no—
358C4×C22⋊D67—21no—
359C4×C22⋊D67—21no—
360C4×C22⋊D67—21no—
361C4×C22⋊D67—21no—
362C4×C22⋊D67C2311yescharacteristic
363C4×C22⋊D67C2311yescharacteristic
364(C22⋊D67)⋊C4—21no—
365(C22⋊D67)⋊C4—21no—
366(C22⋊D67)⋊C4—21no—
367(C22⋊D67)⋊C4—21no—
368#14524002C2311yescharacteristic, complemented
369#14524001—21no—
370#14524001—21no—
371#14524001—21no—
372#14524001C2311yescharacteristic
373#14524001C2311yescharacteristic
374#14524001C2311yescharacteristic
375#14524001C2311yescharacteristic
376#14524001C2311yescharacteristic
377#14524001C2311yescharacteristic, complemented
378#14524000C2311yescharacteristic
379#14523999—21no—
380C2×C4⋊Dic67C2311yescharacteristic
381C4⋊C4×D67C2311yescharacteristic
382C4⋊C4×D67C2311yescharacteristic, complemented
383C2×(C2×D67)⋊C4—21no—
384C2×(C2×D67)⋊C4—21no—
385C2×(C2×D67)⋊C4—21no—
386C2×(C2×D67)⋊C4—21no—
387C22⋊C4×D67—21no—
388C22⋊C4×D67—21no—
389C22⋊C4×D67—21no—
390C22⋊C4×D67—21no—
391C22⋊C4×D67—21no—
392C2×C4×Dic67—21no—
393#14523977C2311yescharacteristic, complemented
394#14523976C2311yescharacteristic, complemented
395#14523976C2311yescharacteristic, complemented
396#14523976C2311yescharacteristic, complemented
397#14523976C2311yescharacteristic, complemented
398#14523976C2311yescharacteristic, complemented
399#14523975C2311yescharacteristic, complemented
400#14523975C2311yescharacteristic, complemented
401#14523974C2311yescharacteristic, complemented
402C4⋊(C67⋊C8)C2311yescharacteristic, complemented
403Dic67⋊C8C2311yescharacteristic, complemented
404Dic67⋊C8C2311yescharacteristic, complemented
405#14523967C2311yescharacteristic, complemented
406#14523967C2311yescharacteristic, complemented
407#14523967C2311yescharacteristic, complemented
408#14523965C2311yescharacteristic
409#14523965C2311yescharacteristic
410#14523965C2311yescharacteristic
411#14523965C2311yescharacteristic
412#14523965C2311yescharacteristic
413#14523965C2311yescharacteristic
414#14523965C2311yescharacteristic, complemented
415#14523965C2311yescharacteristic, complemented
416#14523965C2311yescharacteristic, complemented
417#14523965C2311yescharacteristic, complemented
418#14523964C2311yescharacteristic
419#14523964C2311yescharacteristic
420#14523964C2311yescharacteristic
421#14523964C2311yescharacteristic
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
434#14523963C2311yescharacteristic, complemented
435C22⋊(C67⋊C8)C2311yescharacteristic
436C22⋊(C67⋊C8)C2311yescharacteristic, complemented
437(C2×D67)⋊C8C2311yescharacteristic
438(C2×D67)⋊C8C2311yescharacteristic
439(C2×D67)⋊C8C2311yescharacteristic, complemented
440(C2×D67)⋊C8C2311yescharacteristic, complemented
441#14523953C2311yescharacteristic, complemented
442C4×C67⋊C8C2311yescharacteristic, complemented
443C8×Dic67C2311yescharacteristic, complemented
444C2×#41×C67—21no—
445C2×#41×C67C2311yescharacteristic
446C22×D4×C67C2311yescharacteristic
447C2×SD16×C67C2311yescharacteristic, complemented
448C2×D8×C67C2311yescharacteristic
449C2×D8×C67C2311yescharacteristic
450C2×M16×C67C2311yescharacteristic, complemented
451C22×C8×C67C2311yescharacteristic
452C4⋊Q8×C67C2311yescharacteristic, complemented
453#124×C67C2311yescharacteristic
454#123×C67—21no—
455#123×C67—21no—
456#123×C67—21no—
457C22⋊Q8×C67—21no—
458C22⋊Q8×C67C2311yescharacteristic
459#121×C67—21no—
460#121×C67C2311yescharacteristic
461#121×C67C2311yescharacteristic
462#121×C67C2311yescharacteristic, complemented
463#120×C67—21no—
464C4×D4×C67C2311yescharacteristic
465C4×D4×C67C2311yescharacteristic
466C4×D4×C67C2311yescharacteristic, complemented
467C2×C4⋊C4×C67C2311yescharacteristic
468C2×C4⋊C4×C67C2311yescharacteristic, complemented
469C2×C22⋊C4×C67—21no—
470#106×C67C2311yescharacteristic, complemented
471#106×C67C2311yescharacteristic, complemented
472#106×C67C2311yescharacteristic, complemented
473C4⋊C8×C67C2311yescharacteristic, complemented
474#103×C67C2311yescharacteristic, complemented
475#103×C67C2311yescharacteristic, complemented
476#103×C67C2311yescharacteristic, complemented
477#102×C67C2311yescharacteristic
478#102×C67C2311yescharacteristic
479#102×C67C2311yescharacteristic
480#102×C67C2311yescharacteristic
481#102×C67C2311yescharacteristic
482#102×C67C2311yescharacteristic
483#102×C67C2311yescharacteristic, complemented
484C22⋊C8×C67C2311yescharacteristic
485C22⋊C8×C67C2311yescharacteristic, complemented
486#97×C67C2311yescharacteristic, complemented
487C23×D67—21no—
488C23×D67—21no—
489C23×D67—21no—
490C23×D67—21no—
491C23×D67—21no—
492C23×D67—21no—
493C23×D67—21no—
494C23×D67—21no—
495C23×D67—44no—
496C23×D67—82no—
497C23×D67—82no—
498C23×D67C2×D411yescharacteristic
499#11761629—22no—
500#11761629—22no—
501#11761629—22no—
502#11761629—41no—
503#11761628—22no—
504#11761628—22no—
505#11761628—44no—
506#11761628—82no—
507C2×Dic134—21no—
508C2×Dic134C2×D411yescharacteristic
509C2×D268—22no—
510C2×D268—22no—
511C2×D268—21no—
512C2×D268—21no—
513C2×D268—21no—
514C2×D268—21no—
515C2×D268—21no—
516C2×D268—21no—
517C2×D268—21no—
518C2×D268—21no—
519C2×D268—21no—
520C2×D268—21no—
521C2×D268—41no—
522C2×D268—41no—
523C2×D268—44no—
524C2×D268—82no—
525C2×D268C2×D411yescharacteristic
526C2×D268C2×D411yescharacteristic
527C2×D268C2411yescharacteristic
528C2×D268C2411yescharacteristic
529C2×D268C2411yescharacteristic
530C2×D268C2411yescharacteristic
531C2×C22⋊D67—21no—
532C2×C22⋊D67—21no—
533C2×C22⋊D67—21no—
534C2×C22⋊D67—21no—
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—44no—
547C2×C22⋊D67—82no—
548C2×C22⋊D67C2×D411yescharacteristic
549C2×C22⋊D67C2×D411yescharacteristic
550C2×C22⋊D67C2×D411yescharacteristic
551C2×C22⋊D67C2×D411yescharacteristic
552D4×D67—22no—
553D4×D67—22no—
554D4×D67—22no—
555D4×D67—22no—
556D4×D67—22no—
557D4×D67—22no—
558D4×D67—22no—
559D4×D67—22no—
560D4×D67—41no—
561D4×D67—41no—
562D4×D67—41no—
563D4×D67—44no—
564D4×D67—44no—
565D4×D67—44no—
566D4×D67—44no—
567D4×D67—82no—
568D4×D67—82no—
569D4×D67—82no—
570D4×D67#4114yescomplemented
571C22×Dic67—21no—
572C22×Dic67—21no—
573C22×Dic67—21no—
574C22×Dic67C2×D411yescharacteristic
575C2×C4×D67—22no—
576C2×C4×D67—22no—
577C2×C4×D67—21no—
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×D67C2×D411yescharacteristic
586C2×C4×D67C2×D411yescharacteristic
587C2×C4×D67C2411yescharacteristic
588C2×C4×D67C2411yescharacteristic
589C2×C4×D67C2411yescharacteristic
590#11761615—41no—
591D536—22no—
592D536—41no—
593D536—41no—
594#11761613—22no—
595#11761613—22no—
596#11761613—41no—
597#11761613—41no—
598#11761613—41no—
599#11761611—22no—
600#11761611—22no—
601#11761611—41no—
602#11761611—41no—
603#11761611—41no—
604C2×C67⋊C8—41no—
605C2×C67⋊C8—41no—
606C2×C67⋊C8C2411yescharacteristic
607C2×C67⋊C8C2411yescharacteristic
608C2×C67⋊C8C2411yescharacteristic
609C2×C67⋊C8C2411yescharacteristic
610C8×D67—22no—
611C8×D67—22no—
612C8×D67—41no—
613C4⋊Dic67—21no—
614C4⋊Dic67—21no—
615C4⋊Dic67C2×D411yescharacteristic
616C4⋊Dic67C2411yescharacteristic
617C4⋊Dic67C2411yescharacteristic
618C4⋊Dic67C2411yescharacteristic
619C4⋊Dic67C2411yescharacteristic
620Dic67⋊C4—21no—
621Dic67⋊C4—21no—
622Dic67⋊C4—21no—
623Dic67⋊C4—21no—
624Dic67⋊C4—21no—
625Dic67⋊C4—21no—
626Dic67⋊C4—21no—
627Dic67⋊C4C2×D411yescharacteristic
628Dic67⋊C4C2×D411yescharacteristic
629Dic67⋊C4C2×D411yescharacteristic
630Dic67⋊C4C2×D411yescharacteristic
631C22⋊Dic67—21no—
632C22⋊Dic67—21no—
633C22⋊Dic67—21no—
634C22⋊Dic67—21no—
635C22⋊Dic67—21no—
636C22⋊Dic67—21no—
637C22⋊Dic67C2×D411yescharacteristic
638C22⋊Dic67C2×D411yescharacteristic
639(C2×D67)⋊C4—21no—
640(C2×D67)⋊C4—21no—
641(C2×D67)⋊C4—21no—
642(C2×D67)⋊C4—21no—
643(C2×D67)⋊C4—21no—
644(C2×D67)⋊C4—21no—
645(C2×D67)⋊C4—21no—
646(C2×D67)⋊C4—21no—
647(C2×D67)⋊C4—21no—
648(C2×D67)⋊C4—21no—
649(C2×D67)⋊C4—21no—
650(C2×D67)⋊C4—21no—
651(C2×D67)⋊C4—21no—
652(C2×D67)⋊C4—21no—
653(C2×D67)⋊C4—21no—
654(C2×D67)⋊C4—21no—
655(C2×D67)⋊C4—21no—
656(C2×D67)⋊C4—21no—
657(C2×D67)⋊C4—21no—
658(C2×D67)⋊C4—21no—
659(C2×D67)⋊C4—21no—
660(C2×D67)⋊C4C2×D411yescharacteristic
661(C2×D67)⋊C4C2×D411yescharacteristic
662(C2×D67)⋊C4C2×D411yescharacteristic
663(C2×D67)⋊C4C2×D411yescharacteristic
664(C2×D67)⋊C4C2×D411yescharacteristic
665(C2×D67)⋊C4C2×D411yescharacteristic
666C4×Dic67—21no—
667C4×Dic67—21no—
668C4×Dic67—21no—
669C4×Dic67—21no—
670C4×Dic67—21no—
671C4×Dic67—21no—
672C4×Dic67—21no—
673C4×Dic67C2411yescharacteristic
674C24×C67—21no—
675#41×C67—22no—
676#41×C67—41no—
677#41×C67—82no—
678C2×Q8×C67—21no—
679C2×Q8×C67C2411yescharacteristic
680C2×D4×C67—22no—
681C2×D4×C67—21no—
682C2×D4×C67—21no—
683C2×D4×C67—21no—
684C2×D4×C67—21no—
685C2×D4×C67—21no—
686C2×D4×C67—41no—
687C2×D4×C67C2×D411yescharacteristic
688C2×D4×C67C2411yescharacteristic
689C2×D4×C67C2411yescharacteristic
690C2×D4×C67C2411yescharacteristic
691C22×C4×C67—21no—
692C22×C4×C67—21no—
693C22×C4×C67—21no—
694C22×C4×C67—21no—
695C22×C4×C67—21no—
696C22×C4×C67C2411yescharacteristic
697C22×C4×C67C2411yescharacteristic
698SD16×C67—41no—
699D8×C67—22no—
700D8×C67—41no—
701M16×C67—41no—
702C2×C8×C67—41no—
703C2×C8×C67C2411yescharacteristic
704C2×C8×C67C2411yescharacteristic
705C2×C8×C67C2411yescharacteristic
706C2×C8×C67C2411yescharacteristic
707C4⋊C4×C67—21no—
708C4⋊C4×C67—21no—
709C4⋊C4×C67—21no—
710C4⋊C4×C67—21no—
711C4⋊C4×C67C2×D411yescharacteristic
712C4⋊C4×C67C2411yescharacteristic
713C4⋊C4×C67C2411yescharacteristic
714C4⋊C4×C67C2411yescharacteristic
715C4⋊C4×C67C2411yescharacteristic
716C22⋊C4×C67—21no—
717C22⋊C4×C67—21no—
718C22⋊C4×C67—21no—
719C22⋊C4×C67—21no—
720C22⋊C4×C67—21no—
721C22⋊C4×C67—21no—
722C22⋊C4×C67—21no—
723C22⋊C4×C67—21no—
724C22⋊C4×C67C2×D411yescharacteristic
725C22⋊C4×C67C2×D411yescharacteristic
726C42×C67C2411yescharacteristic
727C23×C67—21no—
728C23×C67—21no—
729C23×C67—21no—
730C23×C67—42no—
731C23×C67—42no—
732C23×C67—81no—
733C23×C67C22×D411yescharacteristic
734C23×C67C22×D411yescharacteristic
735C22×D67—22no—
736C22×D67—21no—
737C22×D67—22no—
738C22×D67—24no—
739C22×D67—21no—
740C22×D67—21no—
741C22×D67—21no—
742C22×D67—41no—
743C22×D67—42no—
744C22×D67—42no—
745C22×D67—42no—
746C22×D67—42no—
747C22×D67—42no—
748C22×D67—42no—
749C22×D67—42no—
750C22×D67—42no—
751C22×D67—42no—
752C22×D67—42no—
753C22×D67—81no—
754C22×D67—81no—
755C22×D67—81no—
756C22×D67—81no—
757C22×D67—81no—
758C22×D67—81no—
759C22×D67—81no—
760C22×D67—81no—
761C22×D67—81no—
762C22×D67—81no—
763C22×D67—81no—
764C22×D67—81no—
765C22×D67—81no—
766C22×D67—816no—
767C22×D67C22×D411yescharacteristic
768C22×D67C22×D411yescharacteristic
769C22×D67C22×D411yescharacteristic
770Q8×C67—21no—
771Q8×C67—21no—
772Q8×C67—81no—
773D4×C67—22no—
774D4×C67—21no—
775D4×C67—21no—
776D4×C67—21no—
777D4×C67—21no—
778D4×C67—21no—
779D4×C67—42no—
780D4×C67—42no—
781D4×C67—42no—
782D4×C67—81no—
783D4×C67—81no—
784D4×C67C2×#4112yes—
785C2×C4×C67—21no—
786C2×C4×C67—21no—
787C2×C4×C67—21no—
788C2×C4×C67—21no—
789C2×C4×C67—21no—
790C2×C4×C67—21no—
791C2×C4×C67—21no—
792C2×C4×C67—21no—
793C2×C4×C67—21no—
794C2×C4×C67—42no—
795C2×C4×C67—42no—
796C2×C4×C67—81no—
797C2×C4×C67—81no—
798C2×C4×C67—81no—
799C2×C4×C67C22×D411yescharacteristic
800C2×C4×C67C22×D411yescharacteristic
801C2×C4×C67C22×D411yescharacteristic
802C2×C4×C67C22×D411yescharacteristic
803C2×C4×C67C2511yescharacteristic
804C22⋊D67—22no—
805C22⋊D67—22no—
806C22⋊D67—24no—
807C22⋊D67—22no—
808C22⋊D67—41no—
809C22⋊D67—42no—
810C22⋊D67—42no—
811C22⋊D67—42no—
812C22⋊D67—42no—
813C22⋊D67—42no—
814C22⋊D67—42no—
815C22⋊D67—42no—
816C22⋊D67—81no—
817C22⋊D67—81no—
818C22⋊D67—81no—
819C22⋊D67—81no—
820C22⋊D67—81no—
821C22⋊D67—81no—
822C22⋊D67—81no—
823C2×Dic67—22no—
824C2×Dic67—21no—
825C2×Dic67—21no—
826C2×Dic67—21no—
827C2×Dic67—21no—
828C2×Dic67—81no—
829C2×Dic67—81no—
830C2×Dic67—81no—
831C2×Dic67C22×D411yescharacteristic
832C2×Dic67C22×D411yescharacteristic
833C2×Dic67C22×D411yescharacteristic
834C2×Dic67C22×D411yescharacteristic
835C2×Dic67C22×D411yescharacteristic
836D268—22no—
837D268—21no—
838D268—21no—
839D268—21no—
840D268—21no—
841D268—21no—
842D268—21no—
843D268—21no—
844D268—41no—
845D268—42no—
846D268—42no—
847D268—42no—
848D268—42no—
849D268—42no—
850D268—81no—
851D268—81no—
852D268—81no—
853D268—81no—
854D268—81no—
855D268C2×#4112yes—
856C4×D67—22no—
857C4×D67—21no—
858C4×D67—21no—
859C4×D67—21no—
860C4×D67—21no—
861C4×D67—22no—
862C4×D67—42no—
863C4×D67—42no—
864C4×D67—81no—
865C4×D67—81no—
866C4×D67—81no—
867C4×D67—81no—
868C4×D67—81no—
869C4×D67—81no—
870C4×D67C2×#4112yes—
871C4×D67H(5,𝔽2)12yes—
872Dic134—22no—
873Dic134—81no—
874C8×C67—21no—
875C8×C67—21no—
876C8×C67—21no—
877C8×C67—21no—
878C67⋊C8—21no—
879C67⋊C8—21no—
880C67⋊C8—21no—
881C67⋊C8—21no—
882C22×C67—21no—
883C22×C67—21no—
884C22×C67—21no—
885C22×C67—21no—
886C22×C67—22no—
887C22×C67—21no—
888C22×C67—41no—
889C22×C67—41no—
890C22×C67—41no—
891C22×C67—41no—
892C22×C67—41no—
893C22×C67—41no—
894C22×C67—41no—
895C22×C67—41no—
896C22×C67—84no—
897C22×C67#57612yes—
898C22×C67C23×D411yescharacteristic
899C2×D67—21no—
900C2×D67—21no—
901C2×D67—21no—
902C2×D67—21no—
903C2×D67—21no—
904C2×D67—21no—
905C2×D67—22no—
906C2×D67—21no—
907C2×D67—21no—
908C2×D67—44no—
909C2×D67—41no—
910C2×D67—41no—
911C2×D67—41no—
912C2×D67—41no—
913C2×D67—41no—
914C2×D67—41no—
915C2×D67—41no—
916C2×D67—41no—
917C2×D67—41no—
918C2×D67—41no—
919C2×D67—41no—
920C2×D67—84no—
921C2×D67—84no—
922C2×D67—84no—
923C2×D67—84no—
924C2×D67—84no—
925C2×D67—162no—
926C2×D67—162no—
927C2×D67—162no—
928C2×D67#54612yes—
929C4×C67—21no—
930C4×C67—21no—
931C4×C67—21no—
932C4×C67—21no—
933C4×C67—41no—
934C4×C67—41no—
935C4×C67—41no—
936C4×C67—41no—
937C4×C67—41no—
938C4×C67C22×#4111yescharacteristic
939C4×C67C2×H(5,𝔽2)11yescharacteristic
940Dic67—21no—
941Dic67—21no—
942Dic67—21no—
943Dic67—21no—
944Dic67—41no—
945Dic67—41no—
946Dic67—41no—
947Dic67—41no—
948Dic67#54612yes—
949#61183—671nomaximal, Sylow
950C2×C67—22no—
951C2×C67—42no—
952C2×C67—41no—
953C2×C67—81no—
954C2×C67—81no—
955C2×C67C2×#54611yescharacteristic
956C2×C67C2×#57611yescharacteristic
957C2×C67#358511yescharacteristic
958D67—22no—
959D67—41no—
960D67—41no—
961D67—42no—
962D67—81no—
963D67—81no—
964D67—81no—
965#3494—671no—
966#3484—671no—
967#3325—671no—
968#3325—671no—
969#3322—671no—
970#3322—671no—
971#3319—671no—
972#3319—671no—
973#3318—671no—
974#3318—671no—
975#3318—671no—
976#3318—671no—
977#3306—671no—
978#3306D6711yescharacteristic, complemented
979#3297—671no—
980#3297—671no—
981#3294—671no—
982#3294—671no—
983#3136—671no—
984#3096—671no—
985#3091—671no—
986#3081—671no—
987#3058—671no—
988#3055—671no—
989#3041—671no—
990#3008—671no—
991C2×#447—671no—
992#2948—671no—
993#2933—671no—
994#2897—671no—
995C2×#418—671no—
996C67#6118311yescharacteristic, complemented, Sylow
997C2×H(5,𝔽2)—671no—
998C23×D4—671no—
999C2×AGL(1,ℤ/8)—671no—
1000C22×D8—671no—
1001C22×D8—671no—
1002C2×#131—671no—
1003C22×M16—671no—
1004#555—671no—
1005#555—671no—
1006#553—671no—
1007#553—671no—
1008#553—671no—
1009#553—671no—
1010#551—1341no—
1011#551—1341no—
1012#547—671no—
1013#547C2×D6711yescharacteristic, complemented
1014#546—671no—
1015#546—671no—
1016#546—671no—
1017#546—1341no—
1018#546—1341no—
1019#546—1341no—
1020#546—1341no—
1021#546C2×D6711yescharacteristic, complemented
1022D42—671no—
1023D42—671no—
1024D42—671no—
1025D42—671no—
1026D42—1341no—
1027D42—1341no—
1028#544—671no—
1029#542—1341no—
1030#540—1341no—
1031#535—671no—
1032#535—671no—
1033#535—671no—
1034#534—1341no—
1035#534—1341no—
1036#532—1341no—
1037#529—1341no—
1038#525—671no—
1039#525—671no—
1040C2×#121—671no—
1041C2×#120—1341no—
1042C2×#120—1341no—
1043#520—671no—
1044#518—671no—
1045#518—671no—
1046C2×#117—671no—
1047#490—671no—
1048#490—671no—
1049#489—671no—
1050#489C2×D6711yescharacteristic, complemented
1051#488—671no—
1052#488—671no—
1053#486—671no—
1054#486—671no—
1055#485—671no—
1056#485—671no—
1057#484—671no—
1058#483C2×D6711yescharacteristic, complemented
1059#482—671no—
1060#482—671no—
1061#482—671no—
1062#482—671no—
1063#482—671no—
1064#482—671no—
1065#481—671no—
1066#481—671no—
1067#481C2×D6711yescharacteristic, complemented
1068#480—671no—
1069#480—671no—
1070#480—671no—
1071#478—671no—
1072#478—671no—
1073#478—671no—
1074#478—671no—
1075#476—671no—
1076#476C2×D6711yescharacteristic, complemented
1077#474—671no—
1078#474—671no—
1079#469—671no—
1080#469—671no—
1081#469—671no—
1082#469—671no—
1083#469—671no—
1084#469C2×D6711yescharacteristic, complemented
1085#468—671no—
1086#468—671no—
1087#466—671no—
1088#466—671no—
1089#466—671no—
1090#466—671no—
1091#466—671no—
1092#466—671no—
1093#465—671no—
1094#465C2×D6711yescharacteristic, complemented
1095#463—671no—
1096#463—671no—
1097#463—671no—
1098#463C2×D6711yescharacteristic, complemented
1099#459—671no—
1100#459—671no—
1101#459—671no—
1102#459—671no—
1103#449—671no—
1104#449—671no—
1105#449—671no—
1106#449C2×D6711yescharacteristic, complemented
1107#447—671no—
1108#447—671no—
1109#447—671no—
1110#447—671no—
1111#447—671no—
1112#447—671no—
1113#447—671no—
1114#447—671no—
1115#447—671no—
1116#447—671no—
1117#447—671no—
1118#447C2×D6711yescharacteristic, complemented
1119#442—671no—
1120#442—671no—
1121#442—671no—
1122#442C2×D6711yescharacteristic, complemented
1123C4×D8—671no—
1124C4×D8—671no—
1125C4×D8—671no—
1126C4×D8—671no—
1127#436—671no—
1128#436—671no—
1129#435—671no—
1130#435—671no—
1131#435—671no—
1132#435C2×D6711yescharacteristic, complemented
1133C8×D4—671no—
1134C8×D4—671no—
1135#428—671no—
1136#427—671no—
1137#427—671no—
1138#424—671no—
1139#418—671no—
1140#418—671no—
1141#418—671no—
1142#418—671no—
1143#418—671no—
1144#418—671no—
1145#418—671no—
1146#418—671no—
1147#418—671no—
1148#418—671no—
1149#418—671no—
1150#417—671no—
1151#417—671no—
1152#417C2×D6711yescharacteristic, complemented
1153#416—671no—
1154#416—671no—
1155#416—671no—
1156#416—671no—
1157C2×#102—671no—
1158C2×#102—671no—
1159C2×#102—671no—
1160C2×#102—671no—
1161C2×#102—671no—
1162C2×#102—671no—
1163C2×#102—671no—
1164C2×#102C2×D6711yescharacteristic, complemented
1165#408—671no—
1166C2×C22⋊C8—671no—
1167#405—671no—
1168C25—1341no—
1169H(5,𝔽2)—2682no—
1170H(5,𝔽2)—1344no—
1171C2×#41—21no—
1172C2×#41—671no—
1173C2×#41—671no—
1174C2×#41—671no—
1175C2×#41—1341no—
1176C2×#41—1341no—
1177C2×#41C22×D6711yescharacteristic
1178C22×D4—2682no—
1179C22×D4—671no—
1180C22×D4—671no—
1181C22×D4—671no—
1182C22×D4—671no—
1183C22×D4—671no—
1184C22×D4—671no—
1185C22×D4—671no—
1186C22×D4—671no—
1187C22×D4—1341no—
1188C22×D4—1341no—
1189C22×D4—1341no—
1190C22×D4—1341no—
1191C22×D4—1341no—
1192C22×D4—1341no—
1193C22×D4—1341no—
1194C22×D4—1344no—
1195C22×D4—1341no—
1196C22×D4—1341no—
1197C22×D4—1341no—
1198C22×D4—1341no—
1199C22×D4C22×D6711yescharacteristic
1200C23×C4—671no—
1201AGL(1,ℤ/8)—2682no—
1202C2×SD16—671no—
1203C2×SD16C22×D6711yescharacteristic, complemented
1204C2×D8—2682no—
1205C2×D8—671no—
1206C2×D8—671no—
1207C2×D8—671no—
1208C2×D8—671no—
1209C2×D8—671no—
1210C2×D8—671no—
1211C2×D8—671no—
1212C2×D8—671no—
1213C2×D8—1344no—
1214C2×D8C22×D6711yescharacteristic
1215C2×D8C22×D6711yescharacteristic
1216#131—2682no—
1217C2×M16—2682no—
1218C2×M16—671no—
1219C2×M16—671no—
1220C2×M16—671no—
1221C2×M16—671no—
1222C2×M16—671no—
1223C2×M16C22×D6711yescharacteristic, complemented
1224C22×C8—671no—
1225C22×C8—671no—
1226C22×C8—671no—
1227C22×C8—671no—
1228C22×C8—671no—
1229C22×C8C22×D6711yescharacteristic
1230C4⋊Q8—671no—
1231C4⋊Q8—1341no—
1232C4⋊Q8C22×D6711yescharacteristic, complemented
1233#127—671no—
1234#127—671no—
1235#127—1341no—
1236#127—1341no—
1237#126—1341no—
1238#126—1341no—
1239#126—1341no—
1240#126—1341no—
1241#125—671no—
1242#125—671no—
1243#125—1341no—
1244#124—671no—
1245#124—1341no—
1246#124—1341no—
1247#124—1341no—
1248#124—1341no—
1249#124—1341no—
1250#124—1341no—
1251#124C22×D6711yescharacteristic
1252#123—21no—
1253#123—21no—
1254#123—21no—
1255#123—671no—
1256#123—671no—
1257#123—1341no—
1258#123—1341no—
1259#123—1341no—
1260#123—1341no—
1261#123—1341no—
1262#123—1341no—
1263#123—1341no—
1264#123—1341no—
1265#123—1341no—
1266#123—1341no—
1267C22⋊Q8—21no—
1268C22⋊Q8—671no—
1269C22⋊Q8—671no—
1270C22⋊Q8—671no—
1271C22⋊Q8—1341no—
1272C22⋊Q8—1341no—
1273C22⋊Q8—1341no—
1274C22⋊Q8C22×D6711yescharacteristic
1275#121—21no—
1276#121—671no—
1277#121—671no—
1278#121—671no—
1279#121—671no—
1280#121—671no—
1281#121—671no—
1282#121—671no—
1283#121—671no—
1284#121—671no—
1285#121—671no—
1286#121—671no—
1287#121—671no—
1288#121—671no—
1289#121—1341no—
1290#121—1341no—
1291#121—1341no—
1292#121—1341no—
1293#121—1341no—
1294#121—1341no—
1295#121—1341no—
1296#121—1341no—
1297#121—1341no—
1298#121—1341no—
1299#121—1341no—
1300#121—1341no—
1301#121—1341no—
1302#121—1341no—
1303#121—1341no—
1304#121—1341no—
1305#121—1341no—
1306#121C22×D6711yescharacteristic
1307#121C22×D6711yescharacteristic
1308#121C22×D6711yescharacteristic, complemented
1309#120—21no—
1310#120—671no—
1311#120—671no—
1312#120—1341no—
1313#120—1341no—
1314#120—1341no—
1315#120—1341no—
1316#120—1341no—
1317#120—1341no—
1318#120—1341no—
1319#120—1341no—
1320#120—1341no—
1321#120—1341no—
1322#120—1341no—
1323#120—1341no—
1324#120—1341no—
1325#120—1341no—
1326#120—1341no—
1327#120—1341no—
1328#120—1341no—
1329#120—1341no—
1330C4×Q8—1341no—
1331C4×D4—671no—
1332C4×D4—671no—
1333C4×D4—671no—
1334C4×D4—671no—
1335C4×D4—671no—
1336C4×D4—671no—
1337C4×D4—671no—
1338C4×D4—671no—
1339C4×D4—671no—
1340C4×D4—1341no—
1341C4×D4—1341no—
1342C4×D4—1341no—
1343C4×D4—1341no—
1344C4×D4—1341no—
1345C4×D4—1341no—
1346C4×D4—1341no—
1347C4×D4—1341no—
1348C4×D4—1341no—
1349C4×D4—1341no—
1350C4×D4—1341no—
1351C4×D4—1341no—
1352C4×D4—1341no—
1353C4×D4C22×D6711yescharacteristic
1354C4×D4C22×D6711yescharacteristic
1355C4×D4C22×D6711yescharacteristic, complemented
1356#117—671no—
1357#117—671no—
1358#117—671no—
1359#117—671no—
1360#117—671no—
1361#117—671no—
1362#117—671no—
1363#117—671no—
1364#117—1341no—
1365#117—1341no—
1366#117—1341no—
1367#117—1341no—
1368C2×C4⋊C4—671no—
1369C2×C4⋊C4—671no—
1370C2×C4⋊C4—671no—
1371C2×C4⋊C4C22×D6711yescharacteristic
1372C2×C4⋊C4C22×D6711yescharacteristic, complemented
1373C2×C22⋊C4—21no—
1374C2×C22⋊C4—1341no—
1375C2×C22⋊C4—1341no—
1376C2×C22⋊C4—1341no—
1377C2×C22⋊C4—1341no—
1378C2×C22⋊C4—1341no—
1379C2×C22⋊C4—1341no—
1380C2×C22⋊C4—1341no—
1381C2×C22⋊C4—1341no—
1382C2×C22⋊C4—1341no—
1383C2×C42—1341no—
1384#107—671no—
1385#107—671no—
1386#107—671no—
1387#107—671no—
1388#107—671no—
1389#107—671no—
1390#106—671no—
1391#106—671no—
1392#106—671no—
1393#106C22×D6711yescharacteristic, complemented
1394#106C22×D6711yescharacteristic, complemented
1395#106C22×D6711yescharacteristic, complemented
1396C4⋊C8—671no—
1397C4⋊C8—671no—
1398C4⋊C8—671no—
1399C4⋊C8C22×D6711yescharacteristic, complemented
1400#103—671no—
1401#103—671no—
1402#103—671no—
1403#103C22×D6711yescharacteristic, complemented
1404#103C22×D6711yescharacteristic, complemented
1405#103C22×D6711yescharacteristic, complemented
1406#102—671no—
1407#102—671no—
1408#102—671no—
1409#102—671no—
1410#102—671no—
1411#102—671no—
1412#102—671no—
1413#102—671no—
1414#102—671no—
1415#102—671no—
1416#102—671no—
1417#102—671no—
1418#102—671no—
1419#102—671no—
1420#102—671no—
1421#102—671no—
1422#102—671no—
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#102C22×D6711yescharacteristic
1434#102C22×D6711yescharacteristic
1435#102C22×D6711yescharacteristic
1436#102C22×D6711yescharacteristic
1437#102C22×D6711yescharacteristic
1438#102C22×D6711yescharacteristic
1439#102C22×D6711yescharacteristic, complemented
1440C22⋊C8—671no—
1441C22⋊C8—671no—
1442C22⋊C8—671no—
1443C22⋊C8—671no—
1444C22⋊C8—671no—
1445C22⋊C8—671no—
1446C22⋊C8C22×D6711yescharacteristic
1447C22⋊C8C22×D6711yescharacteristic, complemented
1448#97—671no—
1449#97C22×D6711yescharacteristic, complemented
1450C4×C8—671no—
1451C4×C8—671no—
1452C24—21no—
1453C24—2684no—
1454C24—5362no—
1455C24—5362no—
1456C24—671no—
1457C24—1341no—
1458C24—1341no—
1459C24—1341no—
1460C24—1341no—
1461C24—1341no—
1462C24—1341no—
1463C24—1341no—
1464C24—1341no—
1465#41—22no—
1466#41—41no—
1467#41—82no—
1468#41—2684no—
1469#41—2681no—
1470#41—5362no—
1471#41—1342no—
1472#41—1342no—
1473#41—1342no—
1474#41—1342no—
1475#41—1342no—
1476C2×Q8—21no—
1477C2×Q8—671no—
1478C2×Q8—1341no—
1479C2×Q8C23×D6711yescharacteristic
1480C2×D4—22no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—41no—
1487C2×D4—2681no—
1488C2×D4—2681no—
1489C2×D4—2684no—
1490C2×D4—2684no—
1491C2×D4—2684no—
1492C2×D4—2681no—
1493C2×D4—2681no—
1494C2×D4—2681no—
1495C2×D4—2684no—
1496C2×D4—2684no—
1497C2×D4—2684no—
1498C2×D4—5362no—
1499C2×D4—5362no—
1500C2×D4—5362no—
1501C2×D4—5362no—
1502C2×D4—5362no—
1503C2×D4—671no—
1504C2×D4—674no—
1505C2×D4—671no—
1506C2×D4—671no—
1507C2×D4—671no—
1508C2×D4—671no—
1509C2×D4—671no—
1510C2×D4—671no—
1511C2×D4—671no—
1512C2×D4—671no—
1513C2×D4—671no—
1514C2×D4—1341no—
1515C2×D4—1341no—
1516C2×D4—1341no—
1517C2×D4—1342no—
1518C2×D4—1342no—
1519C2×D4—1341no—
1520C2×D4—1341no—
1521C2×D4—1341no—
1522C2×D4—1342no—
1523C2×D4—1342no—
1524C2×D4—1342no—
1525C2×D4—1342no—
1526C2×D4—1342no—
1527C2×D4—1341no—
1528C2×D4—1341no—
1529C2×D4—1341no—
1530C2×D4—1341no—
1531C2×D4—1341no—
1532C2×D4—1341no—
1533C2×D4—1341no—
1534C2×D4—1341no—
1535C2×D4—1342no—
1536C2×D4—1341no—
1537C2×D4—1341no—
1538C2×D4—1342no—
1539C2×D4—1342no—
1540C2×D4—1341no—
1541C2×D4—1341no—
1542C2×D4—1341no—
1543C2×D4—1341no—
1544C2×D4—1341no—
1545C2×D4—1341no—
1546C2×D4—1341no—
1547C2×D4—1341no—
1548C2×D4—1341no—
1549C2×D4D4×D6711yescharacteristic
1550C2×D4C23×D6711yescharacteristic
1551C2×D4C23×D6711yescharacteristic
1552C2×D4C23×D6711yescharacteristic
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—21no—
1557C22×C4—21no—
1558C22×C4—671no—
1559C22×C4—671no—
1560C22×C4—671no—
1561C22×C4—671no—
1562C22×C4—671no—
1563C22×C4—671no—
1564C22×C4—1341no—
1565C22×C4—1341no—
1566C22×C4—1341no—
1567C22×C4—1341no—
1568C22×C4—1341no—
1569C22×C4—1341no—
1570C22×C4—1342no—
1571C22×C4—1342no—
1572C22×C4—1341no—
1573C22×C4—1341no—
1574C22×C4—1341no—
1575C22×C4—1341no—
1576C22×C4—1341no—
1577C22×C4C23×D6711yescharacteristic
1578C22×C4C23×D6711yescharacteristic
1579SD16—41no—
1580SD16—2681no—
1581D8—22no—
1582D8—41no—
1583D8—2681no—
1584D8—2681no—
1585D8—2681no—
1586D8—2681no—
1587D8—2681no—
1588D8—1342no—
1589D8—1342no—
1590D8—1342no—
1591M16—41no—
1592M16—2681no—
1593M16—2681no—
1594M16—2681no—
1595M16—1342no—
1596M16—1342no—
1597C2×C8—41no—
1598C2×C8—2681no—
1599C2×C8—2681no—
1600C2×C8—2681no—
1601C2×C8—671no—
1602C2×C8—671no—
1603C2×C8—671no—
1604C2×C8—671no—
1605C2×C8—1342no—
1606C2×C8—1342no—
1607C2×C8C23×D6711yescharacteristic
1608C2×C8C23×D6711yescharacteristic
1609C2×C8C23×D6711yescharacteristic
1610C2×C8C23×D6711yescharacteristic
1611C4⋊C4—21no—
1612C4⋊C4—21no—
1613C4⋊C4—21no—
1614C4⋊C4—21no—
1615C4⋊C4—671no—
1616C4⋊C4—671no—
1617C4⋊C4—671no—
1618C4⋊C4—671no—
1619C4⋊C4—671no—
1620C4⋊C4—671no—
1621C4⋊C4—671no—
1622C4⋊C4—671no—
1623C4⋊C4—671no—
1624C4⋊C4—1341no—
1625C4⋊C4—1341no—
1626C4⋊C4—1341no—
1627C4⋊C4—1341no—
1628C4⋊C4—1341no—
1629C4⋊C4—1341no—
1630C4⋊C4—1341no—
1631C4⋊C4—1341no—
1632C4⋊C4—1341no—
1633C4⋊C4D4×D6711yescharacteristic
1634C4⋊C4C23×D6711yescharacteristic
1635C4⋊C4C23×D6711yescharacteristic
1636C4⋊C4C23×D6711yescharacteristic
1637C4⋊C4C23×D6711yescharacteristic
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—671no—
1647C22⋊C4—671no—
1648C22⋊C4—671no—
1649C22⋊C4—671no—
1650C22⋊C4—671no—
1651C22⋊C4—671no—
1652C22⋊C4—671no—
1653C22⋊C4—671no—
1654C22⋊C4—1341no—
1655C22⋊C4—1341no—
1656C22⋊C4—1341no—
1657C22⋊C4—1341no—
1658C22⋊C4—1341no—
1659C22⋊C4—1341no—
1660C22⋊C4—1341no—
1661C22⋊C4—1341no—
1662C22⋊C4—1341no—
1663C22⋊C4—1341no—
1664C22⋊C4—1341no—
1665C22⋊C4—1341no—
1666C22⋊C4—1341no—
1667C22⋊C4—1341no—
1668C22⋊C4—1341no—
1669C22⋊C4—1341no—
1670C22⋊C4—1341no—
1671C22⋊C4—1341no—
1672C22⋊C4—1341no—
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⋊C4D4×D6711yescharacteristic
1682C22⋊C4D4×D6711yescharacteristic
1683C42—671no—
1684C42—1341no—
1685C42—1341no—
1686C42—1341no—
1687C42—1341no—
1688C42—1341no—
1689C42—1341no—
1690C42—1341no—
1691C42C23×D6711yescharacteristic
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—42no—
1696C23—42no—
1697C23—81no—
1698C23—2681no—
1699C23—2682no—
1700C23—2682no—
1701C23—2682no—
1702C23—2682no—
1703C23—2682no—
1704C23—2682no—
1705C23—2682no—
1706C23—2682no—
1707C23—2682no—
1708C23—2682no—
1709C23—5361no—
1710C23—5361no—
1711C23—5361no—
1712C23—5361no—
1713C23—5361no—
1714C23—5361no—
1715C23—5361no—
1716C23—5361no—
1717C23—5361no—
1718C23—5361no—
1719C23—5361no—
1720C23—5361no—
1721C23—5361no—
1722C23—53616no—
1723C23—671no—
1724C23—671no—
1725C23—671no—
1726C23—1342no—
1727C23—1344no—
1728C23—1341no—
1729C23—1341no—
1730C23—1341no—
1731C23—1342no—
1732C23—1341no—
1733C23C2×D4×D6711yescharacteristic
1734C23C2×D4×D6711yescharacteristic
1735Q8—21no—
1736Q8—21no—
1737Q8—81no—
1738Q8—5361no—
1739Q8—1342no—
1740D4—22no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—21no—
1746D4—42no—
1747D4—42no—
1748D4—42no—
1749D4—81no—
1750D4—81no—
1751D4—2682no—
1752D4—2682no—
1753D4—2681no—
1754D4—2682no—
1755D4—2682no—
1756D4—2682no—
1757D4—2682no—
1758D4—2682no—
1759D4—2682no—
1760D4—2682no—
1761D4—2682no—
1762D4—2682no—
1763D4—2681no—
1764D4—2682no—
1765D4—5361no—
1766D4—5361no—
1767D4—5361no—
1768D4—5361no—
1769D4—5361no—
1770D4—5361no—
1771D4—5361no—
1772D4—5361no—
1773D4—5361no—
1774D4—5361no—
1775D4—5361no—
1776D4—5361no—
1777D4—672no—
1778D4—1342no—
1779D4—1344no—
1780D4—1342no—
1781D4—1342no—
1782D4—1342no—
1783D4—1341no—
1784D4—1341no—
1785D4—1341no—
1786D4—1341no—
1787D4—1341no—
1788D4—1341no—
1789D4—1341no—
1790D4#41×D6712yes—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—42no—
1801C2×C4—42no—
1802C2×C4—81no—
1803C2×C4—81no—
1804C2×C4—81no—
1805C2×C4—2682no—
1806C2×C4—2682no—
1807C2×C4—5361no—
1808C2×C4—5361no—
1809C2×C4—5361no—
1810C2×C4—5361no—
1811C2×C4—5361no—
1812C2×C4—5361no—
1813C2×C4—5361no—
1814C2×C4—5361no—
1815C2×C4—5361no—
1816C2×C4—671no—
1817C2×C4—672no—
1818C2×C4—672no—
1819C2×C4—671no—
1820C2×C4—671no—
1821C2×C4—671no—
1822C2×C4—671no—
1823C2×C4—1342no—
1824C2×C4—1342no—
1825C2×C4—1341no—
1826C2×C4—1341no—
1827C2×C4—1341no—
1828C2×C4—1341no—
1829C2×C4—1342no—
1830C2×C4—1341no—
1831C2×C4—1341no—
1832C2×C4—1341no—
1833C2×C4—1341no—
1834C2×C4C2×D4×D6711yescharacteristic
1835C2×C4C2×D4×D6711yescharacteristic
1836C2×C4C2×D4×D6711yescharacteristic
1837C2×C4C2×D4×D6711yescharacteristic
1838C2×C4C24×D6711yescharacteristic
1839C8—21no—
1840C8—21no—
1841C8—21no—
1842C8—21no—
1843C8—1341no—
1844C8—1341no—
1845C8—1341no—
1846C8—1341no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—22no—
1851C22—21no—
1852C22—21no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—84no—
1862C22—2684no—
1863C22—2681no—
1864C22—2681no—
1865C22—2681no—
1866C22—2681no—
1867C22—2681no—
1868C22—2681no—
1869C22—2681no—
1870C22—2681no—
1871C22—2681no—
1872C22—2681no—
1873C22—2681no—
1874C22—5364no—
1875C22—5364no—
1876C22—5364no—
1877C22—5364no—
1878C22—5364no—
1879C22—10722no—
1880C22—10722no—
1881C22—10722no—
1882C22—672no—
1883C22—1342no—
1884C22—1341no—
1885C22—1341no—
1886C22—1341no—
1887C22—1341no—
1888C22—1341no—
1889C22—1341no—
1890C22—1341no—
1891C22—1341no—
1892C22#1686420012yes—
1893C22C22×D4×D6711yescharacteristic
1894C4—21no—
1895C4—21no—
1896C4—21no—
1897C4—21no—
1898C4—41no—
1899C4—41no—
1900C4—41no—
1901C4—41no—
1902C4—41no—
1903C4—2681no—
1904C4—2681no—
1905C4—2681no—
1906C4—2681no—
1907C4—672no—
1908C4—1341no—
1909C4—1341no—
1910C4—1341no—
1911C4—1341no—
1912C4C2×#41×D6711yescharacteristic
1913C4H(5,𝔽2)×D6711yescharacteristic
1914C2—22no—
1915C2—41no—
1916C2—42no—
1917C2—81no—
1918C2—81no—
1919C2—2681no—
1920C2—2682no—
1921C2—2681no—
1922C2—5361no—
1923C2—5361no—
1924C2—5361no—
1925C2—1342no—
1926C2#546×D6711yescharacteristic
1927C2C2×#1686420011yescharacteristic
1928C2#2257498711yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3306C2
socleC22×C67C23×D4
hypercenter#3306D67
hypocenterC67#61183
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #22573933C2semidirect
2. #22573839C2semidirect
3. #22572448C2semidirect
4. #22572446C2semidirect
5. #22572417C2semidirect
6. #22572411C2semidirect
7. #22572369C2semidirect
8. #22572364C2semidirect
9. #22572355C2semidirect
10. #22572354C2semidirect
11. #22572352C2semidirect
12. #22572348C2semidirect
13. #22572168C2semidirect
14. #22572065C2semidirect
15. #22572059C2semidirect
16. #22572018C2semidirect
17. #22572016C2semidirect
18. #22570560C2semidirect
19. #22570166C2semidirect
20. #22570123C2semidirect
21. #22570035C2semidirect
22. #22569855C2semidirect
23. #22569821C2semidirect
24. #22569710C2semidirect
25. #22569474C2semidirect
26. #447×D67C2semidirect
27. #22569058C2semidirect
28. #22568935C2semidirect
29. #22568733C2semidirect
30. C2×#16863399C2semidirect
31. C67×#3306C2semidirect
34. C2×#14524070C22semidirect
36. C2×D8×D67C22semidirect
37. C2×#14524051C22semidirect
38. C22×#11761611C22semidirect
39. #16864112C22semidirect
40. #16864110C22semidirect
41. #16864098C22semidirect
42. #16864096C22semidirect
43. #16864094C22semidirect
44. #16864092C22semidirect
47. #16864047C22semidirect
48. #16864039C22semidirect
51. #16864037C22semidirect
54. #16864034C22semidirect
55. D4×D268C22semidirect
56. D4×D268C22semidirect
58. #16864030C22semidirect
59. D4×C22⋊D67C22semidirect
61. #16864023C22semidirect
66. #16863962C22semidirect
73. #121×D67C22semidirect
76. #16863877C22semidirect
78. #16863868C22semidirect
79. C2×#14524001C22semidirect
80. #16863761C22semidirect
81. #16863759C22semidirect
82. #16863757C22semidirect
83. #16863752C22semidirect
84. #16863750C22semidirect
85. #16863744C22semidirect
86. #16863741C22semidirect
87. #16863735C22semidirect
88. #16863735C22semidirect
89. #16863729C22semidirect
90. #16863722C22semidirect
91. #16863722C22semidirect
92. #16863722C22semidirect
93. #16863721C22semidirect
94. #16863719C22semidirect
95. #16863717C22semidirect
96. #16863716C22semidirect
97. #16863715C22semidirect
98. #16863709C22semidirect
99. #16863709C22semidirect
100. #16863708C22semidirect
101. #16863698C22semidirect
102. #16863697C22semidirect
103. #16863696C22semidirect
104. #16863695C22semidirect
105. #16863685C22semidirect
106. #16863674C22semidirect
107. #16863673C22semidirect
108. #16863650C22semidirect
109. #16863650C22semidirect
110. #16863649C22semidirect
111. #16863648C22semidirect
112. #16863646C22semidirect
113. #16863645C22semidirect
114. #16863639C22semidirect
115. #16863632C22semidirect
116. #16863631C22semidirect
117. #16863631C22semidirect
118. #16863630C22semidirect
119. #16863630C22semidirect
120. #16863630C22semidirect
121. #16863627C22semidirect
122. #16863614C22semidirect
123. #16863613C22semidirect
124. #16863608C22semidirect
125. #16863592C22semidirect
126. #16863591C22semidirect
127. #16863590C22semidirect
128. #16863589C22semidirect
129. #16863544C22semidirect
130. #16863541C22semidirect
131. #16863540C22semidirect
132. #16863532C22semidirect
133. #16863532C22semidirect
134. #16863531C22semidirect
135. #16863531C22semidirect
136. #16863531C22semidirect
137. #16863530C22semidirect
138. #16863529C22semidirect
139. #16863529C22semidirect
140. #16863528C22semidirect
141. #16863528C22semidirect
142. #16863528C22semidirect
143. #16863509C22semidirect
144. #16863508C22semidirect
145. #16863507C22semidirect
146. C4×#11761613C22semidirect
147. C4×#11761613C22semidirect
148. #16863476C22semidirect
149. #16863476C22semidirect
150. #16863473C22semidirect
151. #16863472C22semidirect
152. #16863469C22semidirect
153. #16863464C22semidirect
154. #16863464C22semidirect
155. D4×C67⋊C8C22semidirect
156. C8×C22⋊D67C22semidirect
157. #16863435C22semidirect
158. #16863431C22semidirect
159. #16863431C22semidirect
160. #16863421C22semidirect
161. #16863402C22semidirect
164. #16863399C22semidirect
165. #16863399C22semidirect
166. #16863399C22semidirect
167. #16863399C22semidirect
168. #16863399C22semidirect
169. #16863399C22semidirect
170. #16863399C22semidirect
171. #16863399C22semidirect
172. #16863396C22semidirect
173. #16863396C22semidirect
174. #16863392C22semidirect
175. #16863391C22semidirect
176. #16863391C22semidirect
177. #16863391C22semidirect
178. C2×#14523965C22semidirect
179. C2×#14523964C22semidirect
180. C2×#14523963C22semidirect
181. C2×#14523963C22semidirect
183. #102×D67C22semidirect
184. #102×D67C22semidirect
185. #16863361C22semidirect
186. C22⋊C8×D67C22semidirect
187. #16863353C22semidirect
188. #547×C67C22semidirect
189. #546×C67C22semidirect
190. #489×C67C22semidirect
191. #483×C67C22semidirect
192. #481×C67C22semidirect
193. #476×C67C22semidirect
194. #469×C67C22semidirect
195. #465×C67C22semidirect
196. #463×C67C22semidirect
197. #449×C67C22semidirect
198. #447×C67C22semidirect
199. #442×C67C22semidirect
200. #435×C67C22semidirect
201. #417×C67C22semidirect
202. C2×#102×C67C22semidirect
234. C2×#11761615C23semidirect
237. C2×D536C23semidirect
242. C2×#11761613C23semidirect
251. C2×#11761611C23semidirect
253. C22×C67⋊C8C23semidirect
256. C2×C8×D67C23semidirect
257. #14524042C23semidirect
267. #14524035C23semidirect
268. #14524034C23semidirect
301. #14524018C23semidirect
307. #14524017C23semidirect
324. #14524014C23semidirect
348. C4×D268C23semidirect
351. D4×Dic67C23semidirect
355. #14524005C23semidirect
368. #14524002C23semidirect
377. #14524001C23semidirect
382. C4⋊C4×D67C23semidirect
393. #14523977C23semidirect
394. #14523976C23semidirect
395. #14523976C23semidirect
396. #14523976C23semidirect
397. #14523976C23semidirect
398. #14523976C23semidirect
399. #14523975C23semidirect
400. #14523975C23semidirect
401. #14523974C23semidirect
402. C4⋊(C67⋊C8)C23semidirect
403. Dic67⋊C8C23semidirect
404. Dic67⋊C8C23semidirect
405. #14523967C23semidirect
406. #14523967C23semidirect
407. #14523967C23semidirect
414. #14523965C23semidirect
415. #14523965C23semidirect
416. #14523965C23semidirect
417. #14523965C23semidirect
424. #14523964C23semidirect
431. #14523963C23semidirect
432. #14523963C23semidirect
433. #14523963C23semidirect
434. #14523963C23semidirect
436. C22⋊(C67⋊C8)C23semidirect
439. (C2×D67)⋊C8C23semidirect
440. (C2×D67)⋊C8C23semidirect
441. #14523953C23semidirect
442. C4×C67⋊C8C23semidirect
443. C8×Dic67C23semidirect
447. C2×SD16×C67C23semidirect
450. C2×M16×C67C23semidirect
452. C4⋊Q8×C67C23semidirect
462. #121×C67C23semidirect
466. C4×D4×C67C23semidirect
468. C2×C4⋊C4×C67C23semidirect
470. #106×C67C23semidirect
471. #106×C67C23semidirect
472. #106×C67C23semidirect
473. C4⋊C8×C67C23semidirect
474. #103×C67C23semidirect
475. #103×C67C23semidirect
476. #103×C67C23semidirect
483. #102×C67C23semidirect
485. C22⋊C8×C67C23semidirect
486. #97×C67C23semidirect
570. D4×D67#41semidirect
978. #3306D67semidirect
996. C67#61183semidirect
1013. #547C2×D67semidirect
1021. #546C2×D67semidirect
1050. #489C2×D67semidirect
1058. #483C2×D67semidirect
1067. #481C2×D67semidirect
1076. #476C2×D67semidirect
1084. #469C2×D67semidirect
1094. #465C2×D67semidirect
1098. #463C2×D67semidirect
1106. #449C2×D67semidirect
1118. #447C2×D67semidirect
1122. #442C2×D67semidirect
1132. #435C2×D67semidirect
1152. #417C2×D67semidirect
1164. C2×#102C2×D67semidirect
1203. C2×SD16C22×D67semidirect
1223. C2×M16C22×D67semidirect
1232. C4⋊Q8C22×D67semidirect
1308. #121C22×D67semidirect
1355. C4×D4C22×D67semidirect
1372. C2×C4⋊C4C22×D67semidirect
1393. #106C22×D67semidirect
1394. #106C22×D67semidirect
1395. #106C22×D67semidirect
1399. C4⋊C8C22×D67semidirect
1403. #103C22×D67semidirect
1404. #103C22×D67semidirect
1405. #103C22×D67semidirect
1439. #102C22×D67semidirect
1447. C22⋊C8C22×D67semidirect
1449. #97C22×D67semidirect

Maximal subgroups

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

subgroupindex
#225739332
#225738392
#225724482
#225724462
#225724172
#225724112
#225723692
#225723642
#225723552
#225723542
#225723522
#225723482
#225721682
#225720652
#225720592
#225720182
#225720162
#225705602
#225701662
#225701232
#225700352
#225698552
#225698212
#225697102
#225694742
#447×D672
#225690582
#225689352
#225687332
C2×#168633992
C67×#33062
#6118367