Finite Group Databasebeta

← C67×#61749 #30741000

Subgroups — C67×#61749 #30741000

Order 17152.

1756 conjugacy classes of subgroups.

The subgroup lattice has 1734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3542C211yesmaximal, characteristic, complemented
2C67×#3493C211yesmaximal, characteristic, complemented
3C67×#3353C211yesmaximal, characteristic, complemented
4C67×#3351C211yesmaximal, characteristic, complemented
5C67×#3349C211yesmaximal, characteristic, complemented
6C67×#3348C211yesmaximal, characteristic, complemented
7C67×#3347C211yesmaximal, characteristic, complemented
8C67×#3345C211yesmaximal, characteristic, complemented
9C67×#3341C211yesmaximal, characteristic, complemented
10C67×#3337C211yesmaximal, characteristic, complemented
11C67×#3324C211yesmaximal, characteristic, complemented
12C67×#3322C211yesmaximal, characteristic, complemented
13C67×#3319C211yesmaximal, characteristic, complemented
14C67×#3318C211yesmaximal, characteristic, complemented
15C67×#3317C211yesmaximal, characteristic, complemented
16C67×#3311C211yesmaximal, characteristic, complemented
17C67×#3305C211yesmaximal, characteristic, complemented
18C67×#3296C211yesmaximal, characteristic, complemented
19C67×#3243C211yesmaximal, characteristic, complemented
20C67×#3241C211yesmaximal, characteristic, complemented
21C67×#3203C211yesmaximal, characteristic, complemented
22C67×#3198C211yesmaximal, characteristic, complemented
23C67×#3197C211yesmaximal, characteristic, complemented
24C67×#3188C211yesmaximal, characteristic, complemented
25C67×#3125C211yesmaximal, characteristic, complemented
26C67×#3119C211yesmaximal, characteristic, complemented
27C67×#3099C211yesmaximal, characteristic, complemented
28C67×#3096C211yesmaximal, characteristic, complemented
29C67×#3094C211yesmaximal, characteristic, complemented
30C67×#3091C211yesmaximal, characteristic, complemented
31C67×#2976C211yesmaximal, characteristic, complemented
32#562×C67—21no—
33#560×C67—21no—
34#556×C67—21no—
35#556×C67C2211yescharacteristic
36#556×C67C2211yescharacteristic, complemented
37#555×C67—21no—
38#555×C67C2211yescharacteristic
39#555×C67C2211yescharacteristic, complemented
40#555×C67C2211yescharacteristic, complemented
41#553×C67—21no—
42#553×C67C2211yescharacteristic
43#553×C67C2211yescharacteristic
44#553×C67C2211yescharacteristic, complemented
45#552×C67—21no—
46#552×C67C2211yescharacteristic
47#552×C67C2211yescharacteristic, complemented
48#552×C67C2211yescharacteristic, complemented
49#551×C67—21no—
50#550×C67C2211yescharacteristic
51#547×C67C2211yescharacteristic
52#546×C67—21no—
53#546×C67C2211yescharacteristic
54#546×C67C2211yescharacteristic
55D42×C67C2211yescharacteristic
56#544×C67C2211yescharacteristic, complemented
57#542×C67C2211yescharacteristic
58#540×C67—21no—
59#540×C67C2211yescharacteristic
60#538×C67—21no—
61#538×C67—21no—
62#538×C67—21no—
63#537×C67C2211yescharacteristic
64#537×C67C2211yescharacteristic, complemented
65#535×C67—21no—
66#535×C67C2211yescharacteristic
67#534×C67—21no—
68#529×C67—21no—
69#529×C67—21no—
70#525×C67C2211yescharacteristic
71#525×C67C2211yescharacteristic
72#525×C67C2211yescharacteristic, complemented
73C2×#121×C67C2211yescharacteristic
74#520×C67C2211yescharacteristic, complemented
75#520×C67C2211yescharacteristic, complemented
76C2×#117×C67C2211yescharacteristic, complemented
77#501×C67C2211yescharacteristic, complemented
78#501×C67C2211yescharacteristic, complemented
79#500×C67C2211yescharacteristic, complemented
80#499×C67C2211yescharacteristic, complemented
81#490×C67C2211yescharacteristic, complemented
82#489×C67C2211yescharacteristic, complemented
83#488×C67C2211yescharacteristic, complemented
84#486×C67C2211yescharacteristic, complemented
85#485×C67C2211yescharacteristic, complemented
86#485×C67C2211yescharacteristic, complemented
87#485×C67C2211yescharacteristic, complemented
88#485×C67C2211yescharacteristic, complemented
89#485×C67C2211yescharacteristic, complemented
90#485×C67C2211yescharacteristic, complemented
91#484×C67C2211yescharacteristic, complemented
92#484×C67C2211yescharacteristic, complemented
93#484×C67C2211yescharacteristic, complemented
94#483×C67C2211yescharacteristic, complemented
95#483×C67C2211yescharacteristic, complemented
96#482×C67C2211yescharacteristic
97#482×C67C2211yescharacteristic
98#482×C67C2211yescharacteristic
99#482×C67C2211yescharacteristic
100#482×C67C2211yescharacteristic
101#482×C67C2211yescharacteristic, complemented
102#482×C67C2211yescharacteristic, complemented
103#482×C67C2211yescharacteristic, complemented
104#482×C67C2211yescharacteristic, complemented
105#482×C67C2211yescharacteristic, complemented
106#482×C67C2211yescharacteristic, complemented
107#482×C67C2211yescharacteristic, complemented
108#482×C67C2211yescharacteristic, complemented
109#482×C67C2211yescharacteristic, complemented
110#481×C67C2211yescharacteristic
111#481×C67C2211yescharacteristic, complemented
112#481×C67C2211yescharacteristic, complemented
113#481×C67C2211yescharacteristic, complemented
114#481×C67C2211yescharacteristic, complemented
115#481×C67C2211yescharacteristic, complemented
116#480×C67C2211yescharacteristic
117#480×C67C2211yescharacteristic, complemented
118#480×C67C2211yescharacteristic, complemented
119#480×C67C2211yescharacteristic, complemented
120#480×C67C2211yescharacteristic, complemented
121#479×C67C2211yescharacteristic, complemented
122#479×C67C2211yescharacteristic, complemented
123#478×C67C2211yescharacteristic, complemented
124#478×C67C2211yescharacteristic, complemented
125#478×C67C2211yescharacteristic, complemented
126#478×C67C2211yescharacteristic, complemented
127#477×C67C2211yescharacteristic, complemented
128#476×C67C2211yescharacteristic, complemented
129#476×C67C2211yescharacteristic, complemented
130#475×C67C2211yescharacteristic, complemented
131#474×C67C2211yescharacteristic, complemented
132#474×C67C2211yescharacteristic, complemented
133#470×C67C2211yescharacteristic, complemented
134#469×C67C2211yescharacteristic
135#469×C67C2211yescharacteristic, complemented
136#468×C67C2211yescharacteristic
137#468×C67C2211yescharacteristic, complemented
138#468×C67C2211yescharacteristic, complemented
139#468×C67C2211yescharacteristic, complemented
140#468×C67C2211yescharacteristic, complemented
141#467×C67C2211yescharacteristic, complemented
142#466×C67C2211yescharacteristic
143#466×C67C2211yescharacteristic, complemented
144#466×C67C2211yescharacteristic, complemented
145#466×C67C2211yescharacteristic, complemented
146#465×C67C2211yescharacteristic
147#465×C67C2211yescharacteristic, complemented
148#465×C67C2211yescharacteristic, complemented
149#464×C67C2211yescharacteristic, complemented
150#463×C67C2211yescharacteristic, complemented
151#460×C67C2211yescharacteristic, complemented
152#459×C67C2211yescharacteristic, complemented
153#452×C67C2211yescharacteristic, complemented
154#452×C67C2211yescharacteristic, complemented
155#452×C67C2211yescharacteristic, complemented
156#450×C67C2211yescharacteristic
157#450×C67C2211yescharacteristic, complemented
158#449×C67C2211yescharacteristic
159#449×C67C2211yescharacteristic, complemented
160#449×C67C2211yescharacteristic, complemented
161#449×C67C2211yescharacteristic, complemented
162#449×C67C2211yescharacteristic, complemented
163#447×C67C2211yescharacteristic
164#447×C67C2211yescharacteristic, complemented
165#442×C67C2211yescharacteristic, complemented
166#442×C67C2211yescharacteristic, complemented
167#441×C67C2211yescharacteristic, complemented
168#440×C67C2211yescharacteristic, complemented
169C4×SD16×C67C2211yescharacteristic, complemented
170C4×SD16×C67C2211yescharacteristic, complemented
171C4×SD16×C67C2211yescharacteristic, complemented
172C4×D8×C67C2211yescharacteristic, complemented
173#436×C67C2211yescharacteristic
174#436×C67C2211yescharacteristic, complemented
175#435×C67C2211yescharacteristic
176#435×C67C2211yescharacteristic, complemented
177#435×C67C2211yescharacteristic, complemented
178#435×C67C2211yescharacteristic, complemented
179C8×D4×C67C2211yescharacteristic, complemented
180C8×D4×C67C2211yescharacteristic, complemented
181#433×C67C2211yescharacteristic, complemented
182#433×C67C2211yescharacteristic, complemented
183#428×C67C2211yescharacteristic, complemented
184#428×C67C2211yescharacteristic, complemented
185#428×C67C2211yescharacteristic, complemented
186#428×C67C2211yescharacteristic, complemented
187#427×C67C2211yescharacteristic, complemented
188#427×C67C2211yescharacteristic, complemented
189#427×C67C2211yescharacteristic, complemented
190C2×#106×C67C2211yescharacteristic, complemented
191#418×C67C2211yescharacteristic
192#418×C67C2211yescharacteristic
193#418×C67C2211yescharacteristic, complemented
194#417×C67C2211yescharacteristic, complemented
195#416×C67C2211yescharacteristic, complemented
196#416×C67C2211yescharacteristic, complemented
197#416×C67C2211yescharacteristic, complemented
198C2×#102×C67C2211yescharacteristic, complemented
199#408×C67C2211yescharacteristic, complemented
200#408×C67C2211yescharacteristic, complemented
201#407×C67C2211yescharacteristic, complemented
202C2×C22⋊C8×C67C2211yescharacteristic, complemented
203C2×#41×C67—21no—
204C2×#41×C67C2311yescharacteristic
205C2×#41×C67C2311yescharacteristic
206C2×#41×C67C2311yescharacteristic
207C2×#41×C67C2311yescharacteristic
208C22×D4×C67—21no—
209C22×D4×C67—21no—
210C22×D4×C67C2311yescharacteristic
211C22×D4×C67C2311yescharacteristic
212C23×C4×C67C2311yescharacteristic
213C2×Q16×C67C2311yescharacteristic
214C2×SD16×C67C2311yescharacteristic
215C2×SD16×C67C2311yescharacteristic
216C2×SD16×C67C2311yescharacteristic
217C2×SD16×C67C2311yescharacteristic
218C2×D8×C67C2311yescharacteristic
219C2×D8×C67C2311yescharacteristic
220C2×D8×C67C2311yescharacteristic
221C2×M16×C67C2311yescharacteristic
222C2×M16×C67C2311yescharacteristic
223C2×M16×C67C2311yescharacteristic
224C2×M16×C67C2311yescharacteristic
225C22×C8×C67C2311yescharacteristic
226C22×C8×C67C2311yescharacteristic
227C22×C8×C67C2311yescharacteristic
228C22×C8×C67C2311yescharacteristic
229C4⋊Q8×C67—21no—
230C4⋊Q8×C67C2311yescharacteristic
231C4⋊Q8×C67C2311yescharacteristic
232C4⋊Q8×C67C2311yescharacteristic
233#127×C67—21no—
234#127×C67—21no—
235#127×C67C2311yescharacteristic
236#126×C67—21no—
237#126×C67—21no—
238#126×C67—21no—
239#126×C67—21no—
240#126×C67—21no—
241#126×C67—21no—
242#126×C67—21no—
243#126×C67—21no—
244#126×C67—21no—
245#126×C67—21no—
246#126×C67—21no—
247#125×C67—21no—
248#125×C67—21no—
249#125×C67—21no—
250#125×C67—21no—
251#125×C67C2311yescharacteristic
252#125×C67C2311yescharacteristic
253#125×C67C2311yescharacteristic
254#124×C67—21no—
255#124×C67—21no—
256#124×C67—21no—
257#124×C67—21no—
258#124×C67—21no—
259#124×C67—21no—
260#124×C67—21no—
261#124×C67—21no—
262#124×C67—21no—
263#124×C67—21no—
264#124×C67C2311yescharacteristic
265#123×C67—21no—
266#123×C67—21no—
267#123×C67—21no—
268#123×C67—21no—
269#123×C67—21no—
270#123×C67—21no—
271#123×C67—21no—
272#123×C67—21no—
273#123×C67—21no—
274#123×C67—21no—
275#123×C67—21no—
276#123×C67—21no—
277#123×C67—21no—
278#123×C67—21no—
279#123×C67—21no—
280#123×C67D411yescharacteristic
281#123×C67D411yescharacteristic
282C22⋊Q8×C67—21no—
283C22⋊Q8×C67—21no—
284C22⋊Q8×C67—21no—
285C22⋊Q8×C67—21no—
286C22⋊Q8×C67—21no—
287C22⋊Q8×C67—21no—
288C22⋊Q8×C67D411yescharacteristic
289C22⋊Q8×C67D411yescharacteristic
290C22⋊Q8×C67C2311yescharacteristic
291C22⋊Q8×C67C2311yescharacteristic
292C22⋊Q8×C67C2311yescharacteristic
293C22⋊Q8×C67C2311yescharacteristic
294C22⋊Q8×C67C2311yescharacteristic
295C22⋊Q8×C67C2311yescharacteristic
296C22⋊Q8×C67C2311yescharacteristic
297#121×C67—21no—
298#121×C67—21no—
299#121×C67—21no—
300#121×C67—21no—
301#121×C67—21no—
302#121×C67—21no—
303#121×C67—21no—
304#121×C67—21no—
305#121×C67—21no—
306#121×C67—21no—
307#121×C67—21no—
308#121×C67—21no—
309#121×C67—21no—
310#121×C67—21no—
311#121×C67—21no—
312#121×C67—21no—
313#121×C67—21no—
314#121×C67—21no—
315#121×C67—21no—
316#121×C67—21no—
317#121×C67—21no—
318#121×C67D411yescharacteristic
319#121×C67D411yescharacteristic
320#121×C67C2311yescharacteristic
321#121×C67C2311yescharacteristic
322#121×C67C2311yescharacteristic
323#121×C67C2311yescharacteristic
324#121×C67C2311yescharacteristic
325#121×C67C2311yescharacteristic
326#121×C67C2311yescharacteristic
327#121×C67C2311yescharacteristic
328#121×C67C2311yescharacteristic
329#121×C67C2311yescharacteristic
330#121×C67C2311yescharacteristic
331#121×C67C2311yescharacteristic
332#121×C67C2311yescharacteristic
333#120×C67—21no—
334#120×C67—21no—
335#120×C67—21no—
336#120×C67—21no—
337#120×C67—21no—
338#120×C67—21no—
339#120×C67—21no—
340#120×C67—21no—
341#120×C67D411yescharacteristic
342#120×C67D411yescharacteristic
343C4×Q8×C67—21no—
344C4×Q8×C67—21no—
345C4×Q8×C67—21no—
346C4×Q8×C67C2311yescharacteristic
347C4×Q8×C67C2311yescharacteristic
348C4×Q8×C67C2311yescharacteristic
349C4×D4×C67—21no—
350C4×D4×C67—21no—
351C4×D4×C67—21no—
352C4×D4×C67—21no—
353C4×D4×C67—21no—
354C4×D4×C67—21no—
355C4×D4×C67—21no—
356C4×D4×C67—21no—
357C4×D4×C67—21no—
358C4×D4×C67—21no—
359C4×D4×C67—21no—
360C4×D4×C67—21no—
361C4×D4×C67—21no—
362C4×D4×C67C2311yescharacteristic
363C4×D4×C67C2311yescharacteristic
364C4×D4×C67C2311yescharacteristic
365C4×D4×C67C2311yescharacteristic
366C4×D4×C67C2311yescharacteristic
367C4×D4×C67C2311yescharacteristic
368C4×D4×C67C2311yescharacteristic
369C4×D4×C67C2311yescharacteristic
370C4×D4×C67C2311yescharacteristic
371#117×C67—21no—
372#117×C67—21no—
373#117×C67—21no—
374#117×C67—21no—
375#117×C67—21no—
376#117×C67—21no—
377#117×C67—21no—
378#117×C67—21no—
379#117×C67—21no—
380#117×C67C2311yescharacteristic
381#117×C67C2311yescharacteristic
382#117×C67C2311yescharacteristic
383#117×C67C2311yescharacteristic
384#117×C67C2311yescharacteristic
385#117×C67C2311yescharacteristic
386#117×C67C2311yescharacteristic
387#117×C67C2311yescharacteristic
388#117×C67C2311yescharacteristic
389#117×C67C2311yescharacteristic
390C2×C4⋊C4×C67—21no—
391C2×C4⋊C4×C67C2311yescharacteristic
392C2×C4⋊C4×C67C2311yescharacteristic
393C2×C4⋊C4×C67C2311yescharacteristic
394C2×C4⋊C4×C67C2311yescharacteristic
395C2×C4⋊C4×C67C2311yescharacteristic
396C2×C4⋊C4×C67C2311yescharacteristic
397C2×C22⋊C4×C67—21no—
398C2×C22⋊C4×C67—21no—
399C2×C22⋊C4×C67—21no—
400C2×C22⋊C4×C67—21no—
401C2×C42×C67—21no—
402#107×C67C2311yescharacteristic
403#107×C67C2311yescharacteristic
404#107×C67C2311yescharacteristic
405#107×C67C2311yescharacteristic
406#107×C67C2311yescharacteristic
407#107×C67C2311yescharacteristic
408#107×C67C2311yescharacteristic
409#107×C67C2311yescharacteristic
410#107×C67C2311yescharacteristic
411#107×C67C2311yescharacteristic
412#107×C67C2311yescharacteristic
413#107×C67C2311yescharacteristic
414#106×C67C2311yescharacteristic
415#106×C67C2311yescharacteristic
416#106×C67C2311yescharacteristic
417#106×C67C2311yescharacteristic
418#106×C67C2311yescharacteristic
419#106×C67C2311yescharacteristic
420#106×C67C2311yescharacteristic
421#106×C67C2311yescharacteristic
422#106×C67C2311yescharacteristic
423#106×C67C2311yescharacteristic
424#106×C67C2311yescharacteristic
425#106×C67C2311yescharacteristic
426C4⋊C8×C67C2311yescharacteristic
427C4⋊C8×C67C2311yescharacteristic
428C4⋊C8×C67C2311yescharacteristic
429C4⋊C8×C67C2311yescharacteristic
430#103×C67C2311yescharacteristic
431#103×C67C2311yescharacteristic
432#103×C67C2311yescharacteristic
433#103×C67C2311yescharacteristic
434#103×C67C2311yescharacteristic
435#103×C67C2311yescharacteristic
436#103×C67C2311yescharacteristic
437#103×C67C2311yescharacteristic
438#103×C67C2311yescharacteristic
439#103×C67C2311yescharacteristic
440#102×C67C2311yescharacteristic
441#102×C67C2311yescharacteristic
442#102×C67C2311yescharacteristic
443#102×C67C2311yescharacteristic
444#102×C67C2311yescharacteristic
445#102×C67C2311yescharacteristic
446#102×C67C2311yescharacteristic
447#102×C67C2311yescharacteristic
448#102×C67C2311yescharacteristic
449#102×C67C2311yescharacteristic
450#102×C67C2311yescharacteristic
451#102×C67C2311yescharacteristic
452#102×C67C2311yescharacteristic
453#102×C67C2311yescharacteristic
454#102×C67C2311yescharacteristic
455#102×C67C2311yescharacteristic
456#102×C67C2311yescharacteristic
457#102×C67C2311yescharacteristic
458#102×C67C2311yescharacteristic
459#102×C67C2311yescharacteristic
460#102×C67C2311yescharacteristic
461#102×C67C2311yescharacteristic
462C22⋊C8×C67C2311yescharacteristic
463C22⋊C8×C67C2311yescharacteristic
464C22⋊C8×C67C2311yescharacteristic
465C22⋊C8×C67C2311yescharacteristic
466C22⋊C8×C67C2311yescharacteristic
467C22⋊C8×C67C2311yescharacteristic
468C22⋊C8×C67C2311yescharacteristic
469C22⋊C8×C67C2311yescharacteristic
470C22⋊C8×C67C2311yescharacteristic
471C22⋊C8×C67C2311yescharacteristic
472C22⋊C8×C67C2311yescharacteristic
473C22⋊C8×C67C2311yescharacteristic
474#97×C67C2311yescharacteristic
475#97×C67C2311yescharacteristic
476C4×C8×C67C2311yescharacteristic
477C4×C8×C67C2311yescharacteristic
478C24×C67—21no—
479C24×C67—21no—
480C24×C67C2×D411yescharacteristic
481#41×C67—41no—
482#41×C67—41no—
483#41×C67—41no—
484#41×C67—41no—
485#41×C67—41no—
486#41×C67—41no—
487#41×C67—41no—
488#41×C67—41no—
489#41×C67—82no—
490C2×Q8×C67—21no—
491C2×Q8×C67—21no—
492C2×Q8×C67—21no—
493C2×Q8×C67C2×D411yescharacteristic
494C2×Q8×C67C2411yescharacteristic
495C2×Q8×C67C2411yescharacteristic
496C2×D4×C67—21no—
497C2×D4×C67—21no—
498C2×D4×C67—21no—
499C2×D4×C67—21no—
500C2×D4×C67—21no—
501C2×D4×C67—21no—
502C2×D4×C67—21no—
503C2×D4×C67—21no—
504C2×D4×C67—21no—
505C2×D4×C67—21no—
506C2×D4×C67—21no—
507C2×D4×C67—21no—
508C2×D4×C67—21no—
509C2×D4×C67—21no—
510C2×D4×C67—21no—
511C2×D4×C67—21no—
512C2×D4×C67—21no—
513C2×D4×C67—21no—
514C2×D4×C67—21no—
515C2×D4×C67—21no—
516C2×D4×C67—41no—
517C2×D4×C67—41no—
518C2×D4×C67—41no—
519C2×D4×C67—41no—
520C2×D4×C67—82no—
521C2×D4×C67—82no—
522C2×D4×C67C2×D411yescharacteristic
523C2×D4×C67C2×D411yescharacteristic
524C2×D4×C67C2×D411yescharacteristic
525C2×D4×C67C2×D411yescharacteristic
526C2×D4×C67C2×D411yescharacteristic
527C2×D4×C67C2×D411yescharacteristic
528C2×D4×C67C2×D411yescharacteristic
529C2×D4×C67C2411yescharacteristic
530C2×D4×C67C2411yescharacteristic
531C2×D4×C67C2411yescharacteristic
532C2×D4×C67C2411yescharacteristic
533C22×C4×C67—21no—
534C22×C4×C67—21no—
535C22×C4×C67—21no—
536C22×C4×C67—21no—
537C22×C4×C67—21no—
538C22×C4×C67—21no—
539C22×C4×C67—21no—
540C22×C4×C67—21no—
541C22×C4×C67—21no—
542C22×C4×C67—21no—
543C22×C4×C67—21no—
544C22×C4×C67—21no—
545C22×C4×C67—21no—
546C22×C4×C67—21no—
547C22×C4×C67—41no—
548C22×C4×C67—41no—
549C22×C4×C67C2×D411yescharacteristic
550C22×C4×C67C2×D411yescharacteristic
551C22×C4×C67C2×D411yescharacteristic
552C22×C4×C67C2411yescharacteristic
553C22×C4×C67C2411yescharacteristic
554C22×C4×C67C2411yescharacteristic
555C22×C4×C67C2411yescharacteristic
556C22×C4×C67C2411yescharacteristic
557Q16×C67—41no—
558SD16×C67—41no—
559SD16×C67—41no—
560SD16×C67—41no—
561SD16×C67—41no—
562D8×C67—41no—
563D8×C67—41no—
564D8×C67—41no—
565M16×C67—41no—
566M16×C67—41no—
567M16×C67—41no—
568M16×C67—41no—
569C2×C8×C67—41no—
570C2×C8×C67—41no—
571C2×C8×C67—41no—
572C2×C8×C67—41no—
573C2×C8×C67C2411yescharacteristic
574C2×C8×C67C2411yescharacteristic
575C2×C8×C67C2411yescharacteristic
576C2×C8×C67C2411yescharacteristic
577C2×C8×C67C2411yescharacteristic
578C2×C8×C67C2411yescharacteristic
579C2×C8×C67C2411yescharacteristic
580C2×C8×C67C2411yescharacteristic
581C4⋊C4×C67—21no—
582C4⋊C4×C67—21no—
583C4⋊C4×C67—21no—
584C4⋊C4×C67—21no—
585C4⋊C4×C67—21no—
586C4⋊C4×C67—21no—
587C4⋊C4×C67—21no—
588C4⋊C4×C67—21no—
589C4⋊C4×C67—21no—
590C4⋊C4×C67—21no—
591C4⋊C4×C67—21no—
592C4⋊C4×C67—21no—
593C4⋊C4×C67—21no—
594C4⋊C4×C67—21no—
595C4⋊C4×C67—21no—
596C4⋊C4×C67—21no—
597C4⋊C4×C67—21no—
598C4⋊C4×C67—21no—
599C4⋊C4×C67—21no—
600C4⋊C4×C67—21no—
601C4⋊C4×C67—21no—
602C4⋊C4×C67—21no—
603C4⋊C4×C67—21no—
604C4⋊C4×C67—21no—
605C4⋊C4×C67—21no—
606C4⋊C4×C67C2×D411yescharacteristic
607C4⋊C4×C67C2×D411yescharacteristic
608C4⋊C4×C67C2×D411yescharacteristic
609C4⋊C4×C67C2×D411yescharacteristic
610C4⋊C4×C67C2×D411yescharacteristic
611C4⋊C4×C67C2×D411yescharacteristic
612C4⋊C4×C67C2411yescharacteristic
613C4⋊C4×C67C2411yescharacteristic
614C4⋊C4×C67C2411yescharacteristic
615C4⋊C4×C67C2411yescharacteristic
616C4⋊C4×C67C2411yescharacteristic
617C4⋊C4×C67C2411yescharacteristic
618C4⋊C4×C67C2411yescharacteristic
619C4⋊C4×C67C2411yescharacteristic
620C4⋊C4×C67C2411yescharacteristic
621C4⋊C4×C67C2411yescharacteristic
622C22⋊C4×C67—21no—
623C22⋊C4×C67—21no—
624C22⋊C4×C67—21no—
625C22⋊C4×C67—21no—
626C22⋊C4×C67—21no—
627C22⋊C4×C67—21no—
628C22⋊C4×C67—21no—
629C22⋊C4×C67—21no—
630C22⋊C4×C67—21no—
631C22⋊C4×C67—21no—
632C22⋊C4×C67—21no—
633C22⋊C4×C67—21no—
634C22⋊C4×C67—21no—
635C22⋊C4×C67—21no—
636C22⋊C4×C67—21no—
637C22⋊C4×C67—21no—
638C22⋊C4×C67—21no—
639C22⋊C4×C67—21no—
640C22⋊C4×C67—21no—
641C22⋊C4×C67—21no—
642C22⋊C4×C67—21no—
643C22⋊C4×C67—21no—
644C22⋊C4×C67—21no—
645C22⋊C4×C67—21no—
646C22⋊C4×C67—21no—
647C22⋊C4×C67—21no—
648C22⋊C4×C67—21no—
649C22⋊C4×C67—21no—
650C22⋊C4×C67—21no—
651C22⋊C4×C67—21no—
652C22⋊C4×C67—21no—
653C22⋊C4×C67—21no—
654C22⋊C4×C67—21no—
655C22⋊C4×C67—21no—
656C22⋊C4×C67—21no—
657C22⋊C4×C67—21no—
658C22⋊C4×C67C2×D411yescharacteristic
659C22⋊C4×C67C2×D411yescharacteristic
660C22⋊C4×C67C2×D411yescharacteristic
661C22⋊C4×C67C2×D411yescharacteristic
662C22⋊C4×C67C2×D411yescharacteristic
663C22⋊C4×C67C2×D411yescharacteristic
664C22⋊C4×C67C2×D411yescharacteristic
665C22⋊C4×C67C2×D411yescharacteristic
666C22⋊C4×C67C2×D411yescharacteristic
667C22⋊C4×C67C2×D411yescharacteristic
668C42×C67—21no—
669C42×C67—21no—
670C42×C67—21no—
671C42×C67—21no—
672C42×C67—21no—
673C42×C67—21no—
674C42×C67—21no—
675C42×C67—21no—
676C42×C67—21no—
677C42×C67—21no—
678C42×C67—21no—
679C42×C67—21no—
680C42×C67C2411yescharacteristic
681C42×C67C2411yescharacteristic
682C23×C67—21no—
683C23×C67—21no—
684C23×C67—21no—
685C23×C67—21no—
686C23×C67—41no—
687C23×C67—41no—
688C23×C67—41no—
689C23×C67—42no—
690C23×C67—81no—
691C23×C67—81no—
692C23×C67—81no—
693C23×C67—81no—
694C23×C67—81no—
695C23×C67C22×D411yescharacteristic
696C23×C67C22×D411yescharacteristic
697C23×C67C22×D411yescharacteristic
698C23×C67C22×D411yescharacteristic
699C23×C67C22×D411yescharacteristic
700Q8×C67—21no—
701Q8×C67—21no—
702Q8×C67—21no—
703Q8×C67—21no—
704Q8×C67—41no—
705Q8×C67—81no—
706Q8×C67—81no—
707Q8×C67—81no—
708D4×C67—21no—
709D4×C67—21no—
710D4×C67—21no—
711D4×C67—21no—
712D4×C67—21no—
713D4×C67—21no—
714D4×C67—21no—
715D4×C67—21no—
716D4×C67—41no—
717D4×C67—41no—
718D4×C67—41no—
719D4×C67—41no—
720D4×C67—41no—
721D4×C67—41no—
722D4×C67—41no—
723D4×C67—42no—
724D4×C67—42no—
725D4×C67—81no—
726D4×C67—81no—
727D4×C67—81no—
728D4×C67—81no—
729D4×C67—81no—
730D4×C67—81no—
731D4×C67—81no—
732D4×C67—81no—
733D4×C67—81no—
734D4×C67—81no—
735D4×C67—81no—
736D4×C67—81no—
737D4×C67—81no—
738D4×C67—81no—
739D4×C67—81no—
740D4×C67—81no—
741D4×C67—81no—
742D4×C67—81no—
743C2×C4×C67—21no—
744C2×C4×C67—21no—
745C2×C4×C67—21no—
746C2×C4×C67—21no—
747C2×C4×C67—21no—
748C2×C4×C67—21no—
749C2×C4×C67—21no—
750C2×C4×C67—21no—
751C2×C4×C67—21no—
752C2×C4×C67—21no—
753C2×C4×C67—21no—
754C2×C4×C67—21no—
755C2×C4×C67—21no—
756C2×C4×C67—21no—
757C2×C4×C67—21no—
758C2×C4×C67—21no—
759C2×C4×C67—21no—
760C2×C4×C67—21no—
761C2×C4×C67—21no—
762C2×C4×C67—21no—
763C2×C4×C67—21no—
764C2×C4×C67—21no—
765C2×C4×C67—41no—
766C2×C4×C67—41no—
767C2×C4×C67—41no—
768C2×C4×C67—42no—
769C2×C4×C67—42no—
770C2×C4×C67—81no—
771C2×C4×C67—81no—
772C2×C4×C67—81no—
773C2×C4×C67—81no—
774C2×C4×C67—81no—
775C2×C4×C67—81no—
776C2×C4×C67—81no—
777C2×C4×C67—81no—
778C2×C4×C67—81no—
779C2×C4×C67—81no—
780C2×C4×C67—81no—
781C2×C4×C67—81no—
782C2×C4×C67C22×D411yescharacteristic
783C2×C4×C67C22×D411yescharacteristic
784C2×C4×C67C22×D411yescharacteristic
785C2×C4×C67C22×D411yescharacteristic
786C2×C4×C67C22×D411yescharacteristic
787C2×C4×C67C22×D411yescharacteristic
788C2×C4×C67C22×D411yescharacteristic
789C2×C4×C67C22×D411yescharacteristic
790C2×C4×C67C22×D411yescharacteristic
791C2×C4×C67C2511yescharacteristic
792C8×C67—21no—
793C8×C67—21no—
794C8×C67—21no—
795C8×C67—21no—
796C8×C67—21no—
797C8×C67—21no—
798C8×C67—21no—
799C8×C67—21no—
800C22×C67—21no—
801C22×C67—21no—
802C22×C67—21no—
803C22×C67—21no—
804C22×C67—21no—
805C22×C67—21no—
806C22×C67—21no—
807C22×C67—21no—
808C22×C67—21no—
809C22×C67—21no—
810C22×C67—21no—
811C22×C67—21no—
812C22×C67—21no—
813C22×C67—21no—
814C22×C67—21no—
815C22×C67—41no—
816C22×C67—41no—
817C22×C67—41no—
818C22×C67—41no—
819C22×C67—41no—
820C22×C67—41no—
821C22×C67—41no—
822C22×C67—41no—
823C22×C67—41no—
824C22×C67—41no—
825C22×C67—41no—
826C22×C67—41no—
827C22×C67—82no—
828C22×C67—162no—
829C22×C67—162no—
830C22×C67C23×D411yescharacteristic
831C4×C67—21no—
832C4×C67—21no—
833C4×C67—21no—
834C4×C67—21no—
835C4×C67—21no—
836C4×C67—21no—
837C4×C67—21no—
838C4×C67—21no—
839C4×C67—21no—
840C4×C67—41no—
841C4×C67—41no—
842C4×C67—41no—
843C4×C67—41no—
844C4×C67—41no—
845C4×C67—41no—
846C4×C67—41no—
847C4×C67—41no—
848C4×C67—41no—
849C4×C67—41no—
850C4×C67—41no—
851C4×C67—41no—
852C4×C67#58511yescharacteristic
853C4×C67#58511yescharacteristic
854#61749C6711yesmaximal, characteristic, direct product factor, Sylow
855C2×C67—41no—
856C2×C67—41no—
857C2×C67—41no—
858C2×C67—41no—
859C2×C67—41no—
860C2×C67—81no—
861C2×C67—81no—
862C2×C67—81no—
863C2×C67—81no—
864C2×C67#348511yescharacteristic
865C2×C67#358411yescharacteristic
866C2×C67#358511yescharacteristic
867#3542C2×C6711yescharacteristic, complemented
868#3493C2×C6711yescharacteristic, complemented
869#3353C2×C6711yescharacteristic, complemented
870#3351C2×C6711yescharacteristic, complemented
871#3349C2×C6711yescharacteristic, complemented
872#3348C2×C6711yescharacteristic, complemented
873#3347C2×C6711yescharacteristic, complemented
874#3345C2×C6711yescharacteristic, complemented
875#3341C2×C6711yescharacteristic, complemented
876#3337C2×C6711yescharacteristic, complemented
877#3324C2×C6711yescharacteristic, complemented
878#3322C2×C6711yescharacteristic, complemented
879#3319C2×C6711yescharacteristic, complemented
880#3318C2×C6711yescharacteristic, complemented
881#3317C2×C6711yescharacteristic, complemented
882#3311C2×C6711yescharacteristic, complemented
883#3305C2×C6711yescharacteristic, complemented
884#3296C2×C6711yescharacteristic, complemented
885#3243C2×C6711yescharacteristic, complemented
886#3241C2×C6711yescharacteristic, complemented
887#3203C2×C6711yescharacteristic, complemented
888#3198C2×C6711yescharacteristic, complemented
889#3197C2×C6711yescharacteristic, complemented
890#3188C2×C6711yescharacteristic, complemented
891#3125C2×C6711yescharacteristic, complemented
892#3119C2×C6711yescharacteristic, complemented
893#3099C2×C6711yescharacteristic, complemented
894#3096C2×C6711yescharacteristic, complemented
895#3094C2×C6711yescharacteristic, complemented
896#3091C2×C6711yescharacteristic, complemented
897#2976C2×C6711yescharacteristic, complemented
898C67#6174911yescharacteristic, direct product factor, Sylow
899#562—21no—
900#560—21no—
901#556—21no—
902#556C22×C6711yescharacteristic
903#556C22×C6711yescharacteristic, complemented
904#555—21no—
905#555C22×C6711yescharacteristic
906#555C22×C6711yescharacteristic, complemented
907#555C22×C6711yescharacteristic, complemented
908#553—21no—
909#553C22×C6711yescharacteristic
910#553C22×C6711yescharacteristic
911#553C22×C6711yescharacteristic, complemented
912#552—21no—
913#552C22×C6711yescharacteristic
914#552C22×C6711yescharacteristic, complemented
915#552C22×C6711yescharacteristic, complemented
916#551—21no—
917#550C22×C6711yescharacteristic
918#547C22×C6711yescharacteristic
919#546—21no—
920#546C22×C6711yescharacteristic
921#546C22×C6711yescharacteristic
922D42C22×C6711yescharacteristic
923#544C22×C6711yescharacteristic, complemented
924#542C22×C6711yescharacteristic
925#540—21no—
926#540C22×C6711yescharacteristic
927#538—21no—
928#538—21no—
929#538—21no—
930#537C22×C6711yescharacteristic
931#537C22×C6711yescharacteristic, complemented
932#535—21no—
933#535C22×C6711yescharacteristic
934#534—21no—
935#529—21no—
936#529—21no—
937#525C22×C6711yescharacteristic
938#525C22×C6711yescharacteristic
939#525C22×C6711yescharacteristic, complemented
940C2×#121C22×C6711yescharacteristic
941#520C22×C6711yescharacteristic, complemented
942#520C22×C6711yescharacteristic, complemented
943C2×#117C22×C6711yescharacteristic, complemented
944#501C22×C6711yescharacteristic, complemented
945#501C22×C6711yescharacteristic, complemented
946#500C22×C6711yescharacteristic, complemented
947#499C22×C6711yescharacteristic, complemented
948#490C22×C6711yescharacteristic, complemented
949#489C22×C6711yescharacteristic, complemented
950#488C22×C6711yescharacteristic, complemented
951#486C22×C6711yescharacteristic, complemented
952#485C22×C6711yescharacteristic, complemented
953#485C22×C6711yescharacteristic, complemented
954#485C22×C6711yescharacteristic, complemented
955#485C22×C6711yescharacteristic, complemented
956#485C22×C6711yescharacteristic, complemented
957#485C22×C6711yescharacteristic, complemented
958#484C22×C6711yescharacteristic, complemented
959#484C22×C6711yescharacteristic, complemented
960#484C22×C6711yescharacteristic, complemented
961#483C22×C6711yescharacteristic, complemented
962#483C22×C6711yescharacteristic, complemented
963#482C22×C6711yescharacteristic
964#482C22×C6711yescharacteristic
965#482C22×C6711yescharacteristic
966#482C22×C6711yescharacteristic
967#482C22×C6711yescharacteristic
968#482C22×C6711yescharacteristic, complemented
969#482C22×C6711yescharacteristic, complemented
970#482C22×C6711yescharacteristic, complemented
971#482C22×C6711yescharacteristic, complemented
972#482C22×C6711yescharacteristic, complemented
973#482C22×C6711yescharacteristic, complemented
974#482C22×C6711yescharacteristic, complemented
975#482C22×C6711yescharacteristic, complemented
976#482C22×C6711yescharacteristic, complemented
977#481C22×C6711yescharacteristic
978#481C22×C6711yescharacteristic, complemented
979#481C22×C6711yescharacteristic, complemented
980#481C22×C6711yescharacteristic, complemented
981#481C22×C6711yescharacteristic, complemented
982#481C22×C6711yescharacteristic, complemented
983#480C22×C6711yescharacteristic
984#480C22×C6711yescharacteristic, complemented
985#480C22×C6711yescharacteristic, complemented
986#480C22×C6711yescharacteristic, complemented
987#480C22×C6711yescharacteristic, complemented
988#479C22×C6711yescharacteristic, complemented
989#479C22×C6711yescharacteristic, complemented
990#478C22×C6711yescharacteristic, complemented
991#478C22×C6711yescharacteristic, complemented
992#478C22×C6711yescharacteristic, complemented
993#478C22×C6711yescharacteristic, complemented
994#477C22×C6711yescharacteristic, complemented
995#476C22×C6711yescharacteristic, complemented
996#476C22×C6711yescharacteristic, complemented
997#475C22×C6711yescharacteristic, complemented
998#474C22×C6711yescharacteristic, complemented
999#474C22×C6711yescharacteristic, complemented
1000#470C22×C6711yescharacteristic, complemented
1001#469C22×C6711yescharacteristic
1002#469C22×C6711yescharacteristic, complemented
1003#468C22×C6711yescharacteristic
1004#468C22×C6711yescharacteristic, complemented
1005#468C22×C6711yescharacteristic, complemented
1006#468C22×C6711yescharacteristic, complemented
1007#468C22×C6711yescharacteristic, complemented
1008#467C22×C6711yescharacteristic, complemented
1009#466C22×C6711yescharacteristic
1010#466C22×C6711yescharacteristic, complemented
1011#466C22×C6711yescharacteristic, complemented
1012#466C22×C6711yescharacteristic, complemented
1013#465C22×C6711yescharacteristic
1014#465C22×C6711yescharacteristic, complemented
1015#465C22×C6711yescharacteristic, complemented
1016#464C22×C6711yescharacteristic, complemented
1017#463C22×C6711yescharacteristic, complemented
1018#460C22×C6711yescharacteristic, complemented
1019#459C22×C6711yescharacteristic, complemented
1020#452C22×C6711yescharacteristic, complemented
1021#452C22×C6711yescharacteristic, complemented
1022#452C22×C6711yescharacteristic, complemented
1023#450C22×C6711yescharacteristic
1024#450C22×C6711yescharacteristic, complemented
1025#449C22×C6711yescharacteristic
1026#449C22×C6711yescharacteristic, complemented
1027#449C22×C6711yescharacteristic, complemented
1028#449C22×C6711yescharacteristic, complemented
1029#449C22×C6711yescharacteristic, complemented
1030#447C22×C6711yescharacteristic
1031#447C22×C6711yescharacteristic, complemented
1032#442C22×C6711yescharacteristic, complemented
1033#442C22×C6711yescharacteristic, complemented
1034#441C22×C6711yescharacteristic, complemented
1035#440C22×C6711yescharacteristic, complemented
1036C4×SD16C22×C6711yescharacteristic, complemented
1037C4×SD16C22×C6711yescharacteristic, complemented
1038C4×SD16C22×C6711yescharacteristic, complemented
1039C4×D8C22×C6711yescharacteristic, complemented
1040#436C22×C6711yescharacteristic
1041#436C22×C6711yescharacteristic, complemented
1042#435C22×C6711yescharacteristic
1043#435C22×C6711yescharacteristic, complemented
1044#435C22×C6711yescharacteristic, complemented
1045#435C22×C6711yescharacteristic, complemented
1046C8×D4C22×C6711yescharacteristic, complemented
1047C8×D4C22×C6711yescharacteristic, complemented
1048#433C22×C6711yescharacteristic, complemented
1049#433C22×C6711yescharacteristic, complemented
1050#428C22×C6711yescharacteristic, complemented
1051#428C22×C6711yescharacteristic, complemented
1052#428C22×C6711yescharacteristic, complemented
1053#428C22×C6711yescharacteristic, complemented
1054#427C22×C6711yescharacteristic, complemented
1055#427C22×C6711yescharacteristic, complemented
1056#427C22×C6711yescharacteristic, complemented
1057C2×#106C22×C6711yescharacteristic, complemented
1058#418C22×C6711yescharacteristic
1059#418C22×C6711yescharacteristic
1060#418C22×C6711yescharacteristic, complemented
1061#417C22×C6711yescharacteristic, complemented
1062#416C22×C6711yescharacteristic, complemented
1063#416C22×C6711yescharacteristic, complemented
1064#416C22×C6711yescharacteristic, complemented
1065C2×#102C22×C6711yescharacteristic, complemented
1066#408C22×C6711yescharacteristic, complemented
1067#408C22×C6711yescharacteristic, complemented
1068#407C22×C6711yescharacteristic, complemented
1069C2×C22⋊C8C22×C6711yescharacteristic, complemented
1070C2×#41—21no—
1071C2×#41C23×C6711yescharacteristic
1072C2×#41C23×C6711yescharacteristic
1073C2×#41C23×C6711yescharacteristic
1074C2×#41C23×C6711yescharacteristic
1075C22×D4—21no—
1076C22×D4—21no—
1077C22×D4C23×C6711yescharacteristic
1078C22×D4C23×C6711yescharacteristic
1079C23×C4C23×C6711yescharacteristic
1080C2×Q16C23×C6711yescharacteristic
1081C2×SD16C23×C6711yescharacteristic
1082C2×SD16C23×C6711yescharacteristic
1083C2×SD16C23×C6711yescharacteristic
1084C2×SD16C23×C6711yescharacteristic
1085C2×D8C23×C6711yescharacteristic
1086C2×D8C23×C6711yescharacteristic
1087C2×D8C23×C6711yescharacteristic
1088C2×M16C23×C6711yescharacteristic
1089C2×M16C23×C6711yescharacteristic
1090C2×M16C23×C6711yescharacteristic
1091C2×M16C23×C6711yescharacteristic
1092C22×C8C23×C6711yescharacteristic
1093C22×C8C23×C6711yescharacteristic
1094C22×C8C23×C6711yescharacteristic
1095C22×C8C23×C6711yescharacteristic
1096C4⋊Q8—21no—
1097C4⋊Q8C23×C6711yescharacteristic
1098C4⋊Q8C23×C6711yescharacteristic
1099C4⋊Q8C23×C6711yescharacteristic
1100#127—21no—
1101#127—21no—
1102#127C23×C6711yescharacteristic
1103#126—21no—
1104#126—21no—
1105#126—21no—
1106#126—21no—
1107#126—21no—
1108#126—21no—
1109#126—21no—
1110#126—21no—
1111#126—21no—
1112#126—21no—
1113#126—21no—
1114#125—21no—
1115#125—21no—
1116#125—21no—
1117#125—21no—
1118#125C23×C6711yescharacteristic
1119#125C23×C6711yescharacteristic
1120#125C23×C6711yescharacteristic
1121#124—21no—
1122#124—21no—
1123#124—21no—
1124#124—21no—
1125#124—21no—
1126#124—21no—
1127#124—21no—
1128#124—21no—
1129#124—21no—
1130#124—21no—
1131#124C23×C6711yescharacteristic
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123D4×C6711yescharacteristic
1148#123D4×C6711yescharacteristic
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8D4×C6711yescharacteristic
1156C22⋊Q8D4×C6711yescharacteristic
1157C22⋊Q8C23×C6711yescharacteristic
1158C22⋊Q8C23×C6711yescharacteristic
1159C22⋊Q8C23×C6711yescharacteristic
1160C22⋊Q8C23×C6711yescharacteristic
1161C22⋊Q8C23×C6711yescharacteristic
1162C22⋊Q8C23×C6711yescharacteristic
1163C22⋊Q8C23×C6711yescharacteristic
1164#121—21no—
1165#121—21no—
1166#121—21no—
1167#121—21no—
1168#121—21no—
1169#121—21no—
1170#121—21no—
1171#121—21no—
1172#121—21no—
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121—21no—
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121D4×C6711yescharacteristic
1186#121D4×C6711yescharacteristic
1187#121C23×C6711yescharacteristic
1188#121C23×C6711yescharacteristic
1189#121C23×C6711yescharacteristic
1190#121C23×C6711yescharacteristic
1191#121C23×C6711yescharacteristic
1192#121C23×C6711yescharacteristic
1193#121C23×C6711yescharacteristic
1194#121C23×C6711yescharacteristic
1195#121C23×C6711yescharacteristic
1196#121C23×C6711yescharacteristic
1197#121C23×C6711yescharacteristic
1198#121C23×C6711yescharacteristic
1199#121C23×C6711yescharacteristic
1200#120—21no—
1201#120—21no—
1202#120—21no—
1203#120—21no—
1204#120—21no—
1205#120—21no—
1206#120—21no—
1207#120—21no—
1208#120D4×C6711yescharacteristic
1209#120D4×C6711yescharacteristic
1210C4×Q8—21no—
1211C4×Q8—21no—
1212C4×Q8—21no—
1213C4×Q8C23×C6711yescharacteristic
1214C4×Q8C23×C6711yescharacteristic
1215C4×Q8C23×C6711yescharacteristic
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4—21no—
1221C4×D4—21no—
1222C4×D4—21no—
1223C4×D4—21no—
1224C4×D4—21no—
1225C4×D4—21no—
1226C4×D4—21no—
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4C23×C6711yescharacteristic
1230C4×D4C23×C6711yescharacteristic
1231C4×D4C23×C6711yescharacteristic
1232C4×D4C23×C6711yescharacteristic
1233C4×D4C23×C6711yescharacteristic
1234C4×D4C23×C6711yescharacteristic
1235C4×D4C23×C6711yescharacteristic
1236C4×D4C23×C6711yescharacteristic
1237C4×D4C23×C6711yescharacteristic
1238#117—21no—
1239#117—21no—
1240#117—21no—
1241#117—21no—
1242#117—21no—
1243#117—21no—
1244#117—21no—
1245#117—21no—
1246#117—21no—
1247#117C23×C6711yescharacteristic
1248#117C23×C6711yescharacteristic
1249#117C23×C6711yescharacteristic
1250#117C23×C6711yescharacteristic
1251#117C23×C6711yescharacteristic
1252#117C23×C6711yescharacteristic
1253#117C23×C6711yescharacteristic
1254#117C23×C6711yescharacteristic
1255#117C23×C6711yescharacteristic
1256#117C23×C6711yescharacteristic
1257C2×C4⋊C4—21no—
1258C2×C4⋊C4C23×C6711yescharacteristic
1259C2×C4⋊C4C23×C6711yescharacteristic
1260C2×C4⋊C4C23×C6711yescharacteristic
1261C2×C4⋊C4C23×C6711yescharacteristic
1262C2×C4⋊C4C23×C6711yescharacteristic
1263C2×C4⋊C4C23×C6711yescharacteristic
1264C2×C22⋊C4—21no—
1265C2×C22⋊C4—21no—
1266C2×C22⋊C4—21no—
1267C2×C22⋊C4—21no—
1268C2×C42—21no—
1269#107C23×C6711yescharacteristic
1270#107C23×C6711yescharacteristic
1271#107C23×C6711yescharacteristic
1272#107C23×C6711yescharacteristic
1273#107C23×C6711yescharacteristic
1274#107C23×C6711yescharacteristic
1275#107C23×C6711yescharacteristic
1276#107C23×C6711yescharacteristic
1277#107C23×C6711yescharacteristic
1278#107C23×C6711yescharacteristic
1279#107C23×C6711yescharacteristic
1280#107C23×C6711yescharacteristic
1281#106C23×C6711yescharacteristic
1282#106C23×C6711yescharacteristic
1283#106C23×C6711yescharacteristic
1284#106C23×C6711yescharacteristic
1285#106C23×C6711yescharacteristic
1286#106C23×C6711yescharacteristic
1287#106C23×C6711yescharacteristic
1288#106C23×C6711yescharacteristic
1289#106C23×C6711yescharacteristic
1290#106C23×C6711yescharacteristic
1291#106C23×C6711yescharacteristic
1292#106C23×C6711yescharacteristic
1293C4⋊C8C23×C6711yescharacteristic
1294C4⋊C8C23×C6711yescharacteristic
1295C4⋊C8C23×C6711yescharacteristic
1296C4⋊C8C23×C6711yescharacteristic
1297#103C23×C6711yescharacteristic
1298#103C23×C6711yescharacteristic
1299#103C23×C6711yescharacteristic
1300#103C23×C6711yescharacteristic
1301#103C23×C6711yescharacteristic
1302#103C23×C6711yescharacteristic
1303#103C23×C6711yescharacteristic
1304#103C23×C6711yescharacteristic
1305#103C23×C6711yescharacteristic
1306#103C23×C6711yescharacteristic
1307#102C23×C6711yescharacteristic
1308#102C23×C6711yescharacteristic
1309#102C23×C6711yescharacteristic
1310#102C23×C6711yescharacteristic
1311#102C23×C6711yescharacteristic
1312#102C23×C6711yescharacteristic
1313#102C23×C6711yescharacteristic
1314#102C23×C6711yescharacteristic
1315#102C23×C6711yescharacteristic
1316#102C23×C6711yescharacteristic
1317#102C23×C6711yescharacteristic
1318#102C23×C6711yescharacteristic
1319#102C23×C6711yescharacteristic
1320#102C23×C6711yescharacteristic
1321#102C23×C6711yescharacteristic
1322#102C23×C6711yescharacteristic
1323#102C23×C6711yescharacteristic
1324#102C23×C6711yescharacteristic
1325#102C23×C6711yescharacteristic
1326#102C23×C6711yescharacteristic
1327#102C23×C6711yescharacteristic
1328#102C23×C6711yescharacteristic
1329C22⋊C8C23×C6711yescharacteristic
1330C22⋊C8C23×C6711yescharacteristic
1331C22⋊C8C23×C6711yescharacteristic
1332C22⋊C8C23×C6711yescharacteristic
1333C22⋊C8C23×C6711yescharacteristic
1334C22⋊C8C23×C6711yescharacteristic
1335C22⋊C8C23×C6711yescharacteristic
1336C22⋊C8C23×C6711yescharacteristic
1337C22⋊C8C23×C6711yescharacteristic
1338C22⋊C8C23×C6711yescharacteristic
1339C22⋊C8C23×C6711yescharacteristic
1340C22⋊C8C23×C6711yescharacteristic
1341#97C23×C6711yescharacteristic
1342#97C23×C6711yescharacteristic
1343C4×C8C23×C6711yescharacteristic
1344C4×C8C23×C6711yescharacteristic
1345C24—21no—
1346C24—21no—
1347C24C2×D4×C6711yescharacteristic
1348#41—41no—
1349#41—41no—
1350#41—41no—
1351#41—41no—
1352#41—41no—
1353#41—41no—
1354#41—41no—
1355#41—41no—
1356#41—82no—
1357C2×Q8—21no—
1358C2×Q8—21no—
1359C2×Q8—21no—
1360C2×Q8C2×D4×C6711yescharacteristic
1361C2×Q8C24×C6711yescharacteristic
1362C2×Q8C24×C6711yescharacteristic
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—41no—
1386C2×D4—41no—
1387C2×D4—82no—
1388C2×D4—82no—
1389C2×D4C2×D4×C6711yescharacteristic
1390C2×D4C2×D4×C6711yescharacteristic
1391C2×D4C2×D4×C6711yescharacteristic
1392C2×D4C2×D4×C6711yescharacteristic
1393C2×D4C2×D4×C6711yescharacteristic
1394C2×D4C2×D4×C6711yescharacteristic
1395C2×D4C2×D4×C6711yescharacteristic
1396C2×D4C24×C6711yescharacteristic
1397C2×D4C24×C6711yescharacteristic
1398C2×D4C24×C6711yescharacteristic
1399C2×D4C24×C6711yescharacteristic
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—41no—
1415C22×C4—41no—
1416C22×C4C2×D4×C6711yescharacteristic
1417C22×C4C2×D4×C6711yescharacteristic
1418C22×C4C2×D4×C6711yescharacteristic
1419C22×C4C24×C6711yescharacteristic
1420C22×C4C24×C6711yescharacteristic
1421C22×C4C24×C6711yescharacteristic
1422C22×C4C24×C6711yescharacteristic
1423C22×C4C24×C6711yescharacteristic
1424Q16—41no—
1425SD16—41no—
1426SD16—41no—
1427SD16—41no—
1428SD16—41no—
1429D8—41no—
1430D8—41no—
1431D8—41no—
1432M16—41no—
1433M16—41no—
1434M16—41no—
1435M16—41no—
1436C2×C8—41no—
1437C2×C8—41no—
1438C2×C8—41no—
1439C2×C8—41no—
1440C2×C8C24×C6711yescharacteristic
1441C2×C8C24×C6711yescharacteristic
1442C2×C8C24×C6711yescharacteristic
1443C2×C8C24×C6711yescharacteristic
1444C2×C8C24×C6711yescharacteristic
1445C2×C8C24×C6711yescharacteristic
1446C2×C8C24×C6711yescharacteristic
1447C2×C8C24×C6711yescharacteristic
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4C2×D4×C6711yescharacteristic
1474C4⋊C4C2×D4×C6711yescharacteristic
1475C4⋊C4C2×D4×C6711yescharacteristic
1476C4⋊C4C2×D4×C6711yescharacteristic
1477C4⋊C4C2×D4×C6711yescharacteristic
1478C4⋊C4C2×D4×C6711yescharacteristic
1479C4⋊C4C24×C6711yescharacteristic
1480C4⋊C4C24×C6711yescharacteristic
1481C4⋊C4C24×C6711yescharacteristic
1482C4⋊C4C24×C6711yescharacteristic
1483C4⋊C4C24×C6711yescharacteristic
1484C4⋊C4C24×C6711yescharacteristic
1485C4⋊C4C24×C6711yescharacteristic
1486C4⋊C4C24×C6711yescharacteristic
1487C4⋊C4C24×C6711yescharacteristic
1488C4⋊C4C24×C6711yescharacteristic
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4C2×D4×C6711yescharacteristic
1526C22⋊C4C2×D4×C6711yescharacteristic
1527C22⋊C4C2×D4×C6711yescharacteristic
1528C22⋊C4C2×D4×C6711yescharacteristic
1529C22⋊C4C2×D4×C6711yescharacteristic
1530C22⋊C4C2×D4×C6711yescharacteristic
1531C22⋊C4C2×D4×C6711yescharacteristic
1532C22⋊C4C2×D4×C6711yescharacteristic
1533C22⋊C4C2×D4×C6711yescharacteristic
1534C22⋊C4C2×D4×C6711yescharacteristic
1535C42—21no—
1536C42—21no—
1537C42—21no—
1538C42—21no—
1539C42—21no—
1540C42—21no—
1541C42—21no—
1542C42—21no—
1543C42—21no—
1544C42—21no—
1545C42—21no—
1546C42—21no—
1547C42C24×C6711yescharacteristic
1548C42C24×C6711yescharacteristic
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—41no—
1554C23—41no—
1555C23—41no—
1556C23—42no—
1557C23—81no—
1558C23—81no—
1559C23—81no—
1560C23—81no—
1561C23—81no—
1562C23C22×D4×C6711yescharacteristic
1563C23C22×D4×C6711yescharacteristic
1564C23C22×D4×C6711yescharacteristic
1565C23C22×D4×C6711yescharacteristic
1566C23C22×D4×C6711yescharacteristic
1567Q8—21no—
1568Q8—21no—
1569Q8—21no—
1570Q8—21no—
1571Q8—41no—
1572Q8—81no—
1573Q8—81no—
1574Q8—81no—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—21no—
1579D4—21no—
1580D4—21no—
1581D4—21no—
1582D4—21no—
1583D4—41no—
1584D4—41no—
1585D4—41no—
1586D4—41no—
1587D4—41no—
1588D4—41no—
1589D4—41no—
1590D4—42no—
1591D4—42no—
1592D4—81no—
1593D4—81no—
1594D4—81no—
1595D4—81no—
1596D4—81no—
1597D4—81no—
1598D4—81no—
1599D4—81no—
1600D4—81no—
1601D4—81no—
1602D4—81no—
1603D4—81no—
1604D4—81no—
1605D4—81no—
1606D4—81no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—42no—
1636C2×C4—42no—
1637C2×C4—81no—
1638C2×C4—81no—
1639C2×C4—81no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4C22×D4×C6711yescharacteristic
1650C2×C4C22×D4×C6711yescharacteristic
1651C2×C4C22×D4×C6711yescharacteristic
1652C2×C4C22×D4×C6711yescharacteristic
1653C2×C4C22×D4×C6711yescharacteristic
1654C2×C4C22×D4×C6711yescharacteristic
1655C2×C4C22×D4×C6711yescharacteristic
1656C2×C4C22×D4×C6711yescharacteristic
1657C2×C4C22×D4×C6711yescharacteristic
1658C2×C4C25×C6711yescharacteristic
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—21no—
1664C8—21no—
1665C8—21no—
1666C8—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—21no—
1675C22—21no—
1676C22—21no—
1677C22—21no—
1678C22—21no—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—82no—
1695C22—162no—
1696C22—162no—
1697C22C23×D4×C6711yescharacteristic
1698C4—21no—
1699C4—21no—
1700C4—21no—
1701C4—21no—
1702C4—21no—
1703C4—21no—
1704C4—21no—
1705C4—21no—
1706C4—21no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4#585×C6711yescharacteristic
1720C4#585×C6711yescharacteristic
1721C2—41no—
1722C2—41no—
1723C2—41no—
1724C2—41no—
1725C2—41no—
1726C2—81no—
1727C2—81no—
1728C2—81no—
1729C2—81no—
1730C2C67×#348511yescharacteristic
1731C2C67×#358411yescharacteristic
1732C2C67×#358511yescharacteristic
subgroupG/H
center, socleC22×C67C23×D4
commutator, Frattini, cosocleC2×C4C25×C67
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C67 ◁ #525×C67 ◁ G

Complements

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

NH ≅ G/Ntype
1. C67×#3542C2semidirect
2. C67×#3493C2semidirect
3. C67×#3353C2semidirect
4. C67×#3351C2semidirect
5. C67×#3349C2semidirect
6. C67×#3348C2semidirect
7. C67×#3347C2semidirect
8. C67×#3345C2semidirect
9. C67×#3341C2semidirect
10. C67×#3337C2semidirect
11. C67×#3324C2semidirect
12. C67×#3322C2semidirect
13. C67×#3319C2semidirect
14. C67×#3318C2semidirect
15. C67×#3317C2semidirect
16. C67×#3311C2semidirect
17. C67×#3305C2semidirect
18. C67×#3296C2semidirect
19. C67×#3243C2semidirect
20. C67×#3241C2semidirect
21. C67×#3203C2semidirect
22. C67×#3198C2semidirect
23. C67×#3197C2semidirect
24. C67×#3188C2semidirect
25. C67×#3125C2semidirect
26. C67×#3119C2semidirect
27. C67×#3099C2semidirect
28. C67×#3096C2semidirect
29. C67×#3094C2semidirect
30. C67×#3091C2semidirect
31. C67×#2976C2semidirect
36. #556×C67C22semidirect
39. #555×C67C22semidirect
40. #555×C67C22semidirect
44. #553×C67C22semidirect
47. #552×C67C22semidirect
48. #552×C67C22semidirect
56. #544×C67C22semidirect
64. #537×C67C22semidirect
72. #525×C67C22semidirect
74. #520×C67C22semidirect
75. #520×C67C22semidirect
76. C2×#117×C67C22semidirect
77. #501×C67C22semidirect
78. #501×C67C22semidirect
79. #500×C67C22semidirect
80. #499×C67C22semidirect
81. #490×C67C22semidirect
82. #489×C67C22semidirect
83. #488×C67C22semidirect
84. #486×C67C22semidirect
85. #485×C67C22semidirect
86. #485×C67C22semidirect
87. #485×C67C22semidirect
88. #485×C67C22semidirect
89. #485×C67C22semidirect
90. #485×C67C22semidirect
91. #484×C67C22semidirect
92. #484×C67C22semidirect
93. #484×C67C22semidirect
94. #483×C67C22semidirect
95. #483×C67C22semidirect
101. #482×C67C22semidirect
102. #482×C67C22semidirect
103. #482×C67C22semidirect
104. #482×C67C22semidirect
105. #482×C67C22semidirect
106. #482×C67C22semidirect
107. #482×C67C22semidirect
108. #482×C67C22semidirect
109. #482×C67C22semidirect
111. #481×C67C22semidirect
112. #481×C67C22semidirect
113. #481×C67C22semidirect
114. #481×C67C22semidirect
115. #481×C67C22semidirect
117. #480×C67C22semidirect
118. #480×C67C22semidirect
119. #480×C67C22semidirect
120. #480×C67C22semidirect
121. #479×C67C22semidirect
122. #479×C67C22semidirect
123. #478×C67C22semidirect
124. #478×C67C22semidirect
125. #478×C67C22semidirect
126. #478×C67C22semidirect
127. #477×C67C22semidirect
128. #476×C67C22semidirect
129. #476×C67C22semidirect
130. #475×C67C22semidirect
131. #474×C67C22semidirect
132. #474×C67C22semidirect
133. #470×C67C22semidirect
135. #469×C67C22semidirect
137. #468×C67C22semidirect
138. #468×C67C22semidirect
139. #468×C67C22semidirect
140. #468×C67C22semidirect
141. #467×C67C22semidirect
143. #466×C67C22semidirect
144. #466×C67C22semidirect
145. #466×C67C22semidirect
147. #465×C67C22semidirect
148. #465×C67C22semidirect
149. #464×C67C22semidirect
150. #463×C67C22semidirect
151. #460×C67C22semidirect
152. #459×C67C22semidirect
153. #452×C67C22semidirect
154. #452×C67C22semidirect
155. #452×C67C22semidirect
157. #450×C67C22semidirect
159. #449×C67C22semidirect
160. #449×C67C22semidirect
161. #449×C67C22semidirect
162. #449×C67C22semidirect
164. #447×C67C22semidirect
165. #442×C67C22semidirect
166. #442×C67C22semidirect
167. #441×C67C22semidirect
168. #440×C67C22semidirect
169. C4×SD16×C67C22semidirect
170. C4×SD16×C67C22semidirect
171. C4×SD16×C67C22semidirect
172. C4×D8×C67C22semidirect
174. #436×C67C22semidirect
176. #435×C67C22semidirect
177. #435×C67C22semidirect
178. #435×C67C22semidirect
179. C8×D4×C67C22semidirect
180. C8×D4×C67C22semidirect
181. #433×C67C22semidirect
182. #433×C67C22semidirect
183. #428×C67C22semidirect
184. #428×C67C22semidirect
185. #428×C67C22semidirect
186. #428×C67C22semidirect
187. #427×C67C22semidirect
188. #427×C67C22semidirect
189. #427×C67C22semidirect
190. C2×#106×C67C22semidirect
193. #418×C67C22semidirect
194. #417×C67C22semidirect
195. #416×C67C22semidirect
196. #416×C67C22semidirect
197. #416×C67C22semidirect
198. C2×#102×C67C22semidirect
199. #408×C67C22semidirect
200. #408×C67C22semidirect
201. #407×C67C22semidirect
202. C2×C22⋊C8×C67C22semidirect
854. #61749C67direct (N × H)
867. #3542C2×C67semidirect
868. #3493C2×C67semidirect
869. #3353C2×C67semidirect
870. #3351C2×C67semidirect
871. #3349C2×C67semidirect
872. #3348C2×C67semidirect
873. #3347C2×C67semidirect
874. #3345C2×C67semidirect
875. #3341C2×C67semidirect
876. #3337C2×C67semidirect
877. #3324C2×C67semidirect
878. #3322C2×C67semidirect
879. #3319C2×C67semidirect
880. #3318C2×C67semidirect
881. #3317C2×C67semidirect
882. #3311C2×C67semidirect
883. #3305C2×C67semidirect
884. #3296C2×C67semidirect
885. #3243C2×C67semidirect
886. #3241C2×C67semidirect
887. #3203C2×C67semidirect
888. #3198C2×C67semidirect
889. #3197C2×C67semidirect
890. #3188C2×C67semidirect
891. #3125C2×C67semidirect
892. #3119C2×C67semidirect
893. #3099C2×C67semidirect
894. #3096C2×C67semidirect
895. #3094C2×C67semidirect
896. #3091C2×C67semidirect
897. #2976C2×C67semidirect
898. C67#61749direct (N × H)
903. #556C22×C67semidirect
906. #555C22×C67semidirect
907. #555C22×C67semidirect
911. #553C22×C67semidirect
914. #552C22×C67semidirect
915. #552C22×C67semidirect
923. #544C22×C67semidirect
931. #537C22×C67semidirect
939. #525C22×C67semidirect
941. #520C22×C67semidirect
942. #520C22×C67semidirect
943. C2×#117C22×C67semidirect
944. #501C22×C67semidirect
945. #501C22×C67semidirect
946. #500C22×C67semidirect
947. #499C22×C67semidirect
948. #490C22×C67semidirect
949. #489C22×C67semidirect
950. #488C22×C67semidirect
951. #486C22×C67semidirect
952. #485C22×C67semidirect
953. #485C22×C67semidirect
954. #485C22×C67semidirect
955. #485C22×C67semidirect
956. #485C22×C67semidirect
957. #485C22×C67semidirect
958. #484C22×C67semidirect
959. #484C22×C67semidirect
960. #484C22×C67semidirect
961. #483C22×C67semidirect
962. #483C22×C67semidirect
968. #482C22×C67semidirect
969. #482C22×C67semidirect
970. #482C22×C67semidirect
971. #482C22×C67semidirect
972. #482C22×C67semidirect
973. #482C22×C67semidirect
974. #482C22×C67semidirect
975. #482C22×C67semidirect
976. #482C22×C67semidirect
978. #481C22×C67semidirect
979. #481C22×C67semidirect
980. #481C22×C67semidirect
981. #481C22×C67semidirect
982. #481C22×C67semidirect
984. #480C22×C67semidirect
985. #480C22×C67semidirect
986. #480C22×C67semidirect
987. #480C22×C67semidirect
988. #479C22×C67semidirect
989. #479C22×C67semidirect
990. #478C22×C67semidirect
991. #478C22×C67semidirect
992. #478C22×C67semidirect
993. #478C22×C67semidirect
994. #477C22×C67semidirect
995. #476C22×C67semidirect
996. #476C22×C67semidirect
997. #475C22×C67semidirect
998. #474C22×C67semidirect
999. #474C22×C67semidirect
1000. #470C22×C67semidirect
1002. #469C22×C67semidirect
1004. #468C22×C67semidirect
1005. #468C22×C67semidirect
1006. #468C22×C67semidirect
1007. #468C22×C67semidirect
1008. #467C22×C67semidirect
1010. #466C22×C67semidirect
1011. #466C22×C67semidirect
1012. #466C22×C67semidirect
1014. #465C22×C67semidirect
1015. #465C22×C67semidirect
1016. #464C22×C67semidirect
1017. #463C22×C67semidirect
1018. #460C22×C67semidirect
1019. #459C22×C67semidirect
1020. #452C22×C67semidirect
1021. #452C22×C67semidirect
1022. #452C22×C67semidirect
1024. #450C22×C67semidirect
1026. #449C22×C67semidirect
1027. #449C22×C67semidirect
1028. #449C22×C67semidirect
1029. #449C22×C67semidirect
1031. #447C22×C67semidirect
1032. #442C22×C67semidirect
1033. #442C22×C67semidirect
1034. #441C22×C67semidirect
1035. #440C22×C67semidirect
1036. C4×SD16C22×C67semidirect
1037. C4×SD16C22×C67semidirect
1038. C4×SD16C22×C67semidirect
1039. C4×D8C22×C67semidirect
1041. #436C22×C67semidirect
1043. #435C22×C67semidirect
1044. #435C22×C67semidirect
1045. #435C22×C67semidirect
1046. C8×D4C22×C67semidirect
1047. C8×D4C22×C67semidirect
1048. #433C22×C67semidirect
1049. #433C22×C67semidirect
1050. #428C22×C67semidirect
1051. #428C22×C67semidirect
1052. #428C22×C67semidirect
1053. #428C22×C67semidirect
1054. #427C22×C67semidirect
1055. #427C22×C67semidirect
1056. #427C22×C67semidirect
1057. C2×#106C22×C67semidirect
1060. #418C22×C67semidirect
1061. #417C22×C67semidirect
1062. #416C22×C67semidirect
1063. #416C22×C67semidirect
1064. #416C22×C67semidirect
1065. C2×#102C22×C67semidirect
1066. #408C22×C67semidirect
1067. #408C22×C67semidirect
1068. #407C22×C67semidirect
1069. C2×C22⋊C8C22×C67semidirect

Maximal subgroups

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

subgroupindex
C67×#35422
C67×#34932
C67×#33532
C67×#33512
C67×#33492
C67×#33482
C67×#33472
C67×#33452
C67×#33412
C67×#33372
C67×#33242
C67×#33222
C67×#33192
C67×#33182
C67×#33172
C67×#33112
C67×#33052
C67×#32962
C67×#32432
C67×#32412
C67×#32032
C67×#31982
C67×#31972
C67×#31882
C67×#31252
C67×#31192
C67×#30992
C67×#30962
C67×#30942
C67×#30912
C67×#29762
#6174967