Finite Group Databasebeta

← C67×#61772 #30741023

Subgroups — C67×#61772 #30741023

Order 17152.

1812 conjugacy classes of subgroups.

The subgroup lattice has 1766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3542C211yesmaximal, characteristic, complemented
2C67×#3494C211yesmaximal, characteristic, complemented
3C67×#3347C211yesmaximal, characteristic, complemented
4C67×#3347C211yesmaximal, characteristic, complemented
5C67×#3345C211yesmaximal, characteristic, complemented
6C67×#3343C211yesmaximal, characteristic, complemented
7C67×#3341C211yesmaximal, characteristic, complemented
8C67×#3339C211yesmaximal, characteristic, complemented
9C67×#3337C211yesmaximal, characteristic, complemented
10C67×#3334C211yesmaximal, characteristic, complemented
11C67×#3319C211yesmaximal, characteristic, complemented
12C67×#3318C211yesmaximal, characteristic, complemented
13C67×#3309C211yesmaximal, characteristic, complemented
14C67×#3306C211yesmaximal, characteristic, complemented
15C67×#3305C211yesmaximal, characteristic, complemented
16C67×#3297C211yesmaximal, characteristic, complemented
17C67×#3297C211yesmaximal, characteristic, complemented
18C67×#3294C211yesmaximal, characteristic, complemented
19C67×#3243C211yesmaximal, characteristic, complemented
20C67×#3241C211yesmaximal, characteristic, complemented
21C67×#3199C211yesmaximal, characteristic, complemented
22C67×#3198C211yesmaximal, characteristic, complemented
23C67×#3188C211yesmaximal, characteristic, complemented
24C67×#3186C211yesmaximal, characteristic, complemented
25C67×#3122C211yesmaximal, characteristic, complemented
26C67×#3118C211yesmaximal, characteristic, complemented
27C67×#3098C211yesmaximal, characteristic, complemented
28C67×#3096C211yesmaximal, characteristic, complemented
29C67×#3091C211yesmaximal, characteristic, complemented
30C2×#482×C67C211yesmaximal, characteristic, complemented
31C67×#2977C211yesmaximal, characteristic, complemented
32#562×C67—21no—
33#560×C67—21no—
34#555×C67C2211yescharacteristic, complemented
35#555×C67C2211yescharacteristic, complemented
36#555×C67C2211yescharacteristic, complemented
37#553×C67C2211yescharacteristic
38#553×C67C2211yescharacteristic, complemented
39#553×C67C2211yescharacteristic, complemented
40#553×C67C2211yescharacteristic, complemented
41#553×C67C2211yescharacteristic, complemented
42#552×C67C2211yescharacteristic, complemented
43#551×C67—21no—
44#551×C67—21no—
45#551×C67—21no—
46#550×C67C2211yescharacteristic, complemented
47#547×C67C2211yescharacteristic
48#547×C67C2211yescharacteristic, complemented
49#547×C67C2211yescharacteristic, complemented
50#546×C67—21no—
51#546×C67—21no—
52#546×C67—21no—
53#546×C67C2211yescharacteristic, complemented
54#546×C67C2211yescharacteristic, complemented
55D42×C67C2211yescharacteristic, complemented
56#544×C67C2211yescharacteristic, complemented
57#542×C67—21no—
58#542×C67C2211yescharacteristic
59#540×C67—21no—
60#540×C67—21no—
61#540×C67C2211yescharacteristic
62#538×C67—21no—
63#537×C67C2211yescharacteristic
64#535×C67—21no—
65#535×C67C2211yescharacteristic
66#535×C67C2211yescharacteristic, complemented
67#534×C67—21no—
68#532×C67—21no—
69#529×C67—21no—
70#525×C67C2211yescharacteristic
71#525×C67C2211yescharacteristic
72C2×#121×C67C2211yescharacteristic
73C2×#121×C67C2211yescharacteristic, complemented
74#520×C67C2211yescharacteristic, complemented
75#518×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#484×C67C2211yescharacteristic, complemented
89#484×C67C2211yescharacteristic, complemented
90#484×C67C2211yescharacteristic, complemented
91#483×C67C2211yescharacteristic, complemented
92#482×C67C2211yescharacteristic
93#482×C67C2211yescharacteristic
94#482×C67C2211yescharacteristic, complemented
95#482×C67C2211yescharacteristic, complemented
96#482×C67C2211yescharacteristic, complemented
97#482×C67C2211yescharacteristic, complemented
98#482×C67C2211yescharacteristic, complemented
99#482×C67C2211yescharacteristic, complemented
100#482×C67C2211yescharacteristic, complemented
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#481×C67C2211yescharacteristic, complemented
110#481×C67C2211yescharacteristic, complemented
111#481×C67C2211yescharacteristic, complemented
112#481×C67C2211yescharacteristic, complemented
113#480×C67C2211yescharacteristic
114#480×C67C2211yescharacteristic, complemented
115#480×C67C2211yescharacteristic, complemented
116#480×C67C2211yescharacteristic, complemented
117#480×C67C2211yescharacteristic, complemented
118#480×C67C2211yescharacteristic, complemented
119#480×C67C2211yescharacteristic, complemented
120#480×C67C2211yescharacteristic, complemented
121#479×C67C2211yescharacteristic, complemented
122#478×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#474×C67C2211yescharacteristic, complemented
131#474×C67C2211yescharacteristic, complemented
132#474×C67C2211yescharacteristic, complemented
133#469×C67C2211yescharacteristic, complemented
134#469×C67C2211yescharacteristic, complemented
135#469×C67C2211yescharacteristic, complemented
136#468×C67C2211yescharacteristic, complemented
137#466×C67C2211yescharacteristic
138#466×C67C2211yescharacteristic
139#466×C67C2211yescharacteristic
140#466×C67C2211yescharacteristic
141#466×C67C2211yescharacteristic, complemented
142#466×C67C2211yescharacteristic, complemented
143#466×C67C2211yescharacteristic, complemented
144#466×C67C2211yescharacteristic, complemented
145#466×C67C2211yescharacteristic, complemented
146#465×C67C2211yescharacteristic, complemented
147#465×C67C2211yescharacteristic, complemented
148#465×C67C2211yescharacteristic, complemented
149#463×C67C2211yescharacteristic, complemented
150#463×C67C2211yescharacteristic, complemented
151#459×C67C2211yescharacteristic, complemented
152#459×C67C2211yescharacteristic, complemented
153#450×C67C2211yescharacteristic, complemented
154#449×C67C2211yescharacteristic, complemented
155#449×C67C2211yescharacteristic, complemented
156#449×C67C2211yescharacteristic, complemented
157#449×C67C2211yescharacteristic, complemented
158#447×C67C2211yescharacteristic
159#447×C67C2211yescharacteristic
160#447×C67C2211yescharacteristic
161#447×C67C2211yescharacteristic, complemented
162#447×C67C2211yescharacteristic, complemented
163#447×C67C2211yescharacteristic, complemented
164#447×C67C2211yescharacteristic, complemented
165#442×C67C2211yescharacteristic, complemented
166#442×C67C2211yescharacteristic, complemented
167#442×C67C2211yescharacteristic, complemented
168#440×C67C2211yescharacteristic, complemented
169C4×SD16×C67C2211yescharacteristic, complemented
170C4×D8×C67C2211yescharacteristic, complemented
171C4×D8×C67C2211yescharacteristic, complemented
172C4×D8×C67C2211yescharacteristic, complemented
173#435×C67C2211yescharacteristic, complemented
174#435×C67C2211yescharacteristic, complemented
175#435×C67C2211yescharacteristic, complemented
176#435×C67C2211yescharacteristic, complemented
177C8×D4×C67C2211yescharacteristic, complemented
178C8×D4×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#427×C67C2211yescharacteristic, complemented
186#427×C67C2211yescharacteristic, complemented
187#427×C67C2211yescharacteristic, complemented
188C2×#107×C67C2211yescharacteristic, complemented
189C2×#107×C67C2211yescharacteristic, complemented
190C2×#106×C67C2211yescharacteristic, complemented
191#418×C67C2211yescharacteristic, complemented
192#417×C67C2211yescharacteristic, complemented
193#416×C67C2211yescharacteristic, complemented
194#416×C67C2211yescharacteristic, complemented
195#416×C67C2211yescharacteristic, complemented
196C2×#102×C67C2211yescharacteristic, complemented
197C2×#102×C67C2211yescharacteristic, complemented
198C2×#102×C67C2211yescharacteristic, complemented
199#408×C67C2211yescharacteristic, complemented
200#408×C67C2211yescharacteristic, complemented
201C2×C22⋊C8×C67C2211yescharacteristic, complemented
202C2×C22⋊C8×C67C2211yescharacteristic, complemented
203C2×#41×C67—21no—
204C2×#41×C67—21no—
205C2×#41×C67—21no—
206C2×#41×C67C2311yescharacteristic
207C2×#41×C67C2311yescharacteristic
208C2×#41×C67C2311yescharacteristic
209C22×D4×C67—21no—
210C22×D4×C67—21no—
211C22×D4×C67—21no—
212C22×D4×C67C2311yescharacteristic
213C22×D4×C67C2311yescharacteristic
214C22×D4×C67C2311yescharacteristic
215C23×C4×C67C2311yescharacteristic
216C2×SD16×C67C2311yescharacteristic
217C2×SD16×C67C2311yescharacteristic
218C2×D8×C67C2311yescharacteristic
219C2×D8×C67C2311yescharacteristic
220C2×D8×C67C2311yescharacteristic
221C2×D8×C67C2311yescharacteristic
222C2×D8×C67C2311yescharacteristic
223C2×D8×C67C2311yescharacteristic
224C2×M16×C67C2311yescharacteristic
225C2×M16×C67C2311yescharacteristic
226C22×C8×C67C2311yescharacteristic
227C22×C8×C67C2311yescharacteristic
228C22×C8×C67C2311yescharacteristic
229C22×C8×C67C2311yescharacteristic
230C22×C8×C67C2311yescharacteristic
231C22×C8×C67C2311yescharacteristic
232C4⋊Q8×C67—21no—
233C4⋊Q8×C67C2311yescharacteristic
234C4⋊Q8×C67C2311yescharacteristic
235C4⋊Q8×C67C2311yescharacteristic
236#127×C67—21no—
237#127×C67—21no—
238#127×C67—21no—
239#127×C67C2311yescharacteristic
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×C67C2311yescharacteristic
250#125×C67C2311yescharacteristic
251#125×C67C2311yescharacteristic
252#124×C67—21no—
253#124×C67—21no—
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×C67C2311yescharacteristic
262#123×C67—21no—
263#123×C67—21no—
264#123×C67—21no—
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×C67—21no—
289C22⋊Q8×C67D411yescharacteristic
290C22⋊Q8×C67D411yescharacteristic
291C22⋊Q8×C67C2311yescharacteristic
292C22⋊Q8×C67C2311yescharacteristic
293C22⋊Q8×C67C2311yescharacteristic
294#121×C67—21no—
295#121×C67—21no—
296#121×C67—21no—
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×C67D411yescharacteristic
317#121×C67D411yescharacteristic
318#121×C67C2311yescharacteristic
319#121×C67C2311yescharacteristic
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#121×C67C2311yescharacteristic
334#121×C67C2311yescharacteristic
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×C67—21no—
342#120×C67—21no—
343#120×C67—21no—
344#120×C67D411yescharacteristic
345#120×C67D411yescharacteristic
346C4×Q8×C67—21no—
347C4×Q8×C67C2311yescharacteristic
348C4×D4×C67—21no—
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×C67C2311yescharacteristic
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
371C4×D4×C67C2311yescharacteristic
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×C67C2311yescharacteristic
379#117×C67C2311yescharacteristic
380#117×C67C2311yescharacteristic
381#117×C67C2311yescharacteristic
382#117×C67C2311yescharacteristic
383#117×C67C2311yescharacteristic
384#117×C67C2311yescharacteristic
385#117×C67C2311yescharacteristic
386#117×C67C2311yescharacteristic
387C2×C4⋊C4×C67C2311yescharacteristic
388C2×C4⋊C4×C67C2311yescharacteristic
389C2×C4⋊C4×C67C2311yescharacteristic
390C2×C4⋊C4×C67C2311yescharacteristic
391C2×C4⋊C4×C67C2311yescharacteristic
392C2×C4⋊C4×C67C2311yescharacteristic
393C2×C4⋊C4×C67C2311yescharacteristic
394C2×C22⋊C4×C67—21no—
395C2×C22⋊C4×C67—21no—
396C2×C22⋊C4×C67—21no—
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#107×C67C2311yescharacteristic
415#107×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#102×C67C2311yescharacteristic
437#102×C67C2311yescharacteristic
438#102×C67C2311yescharacteristic
439#102×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×C67—21no—
481C24×C67C2×D411yescharacteristic
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—82no—
489#41×C67—82no—
490#41×C67—82no—
491C2×Q8×C67—21no—
492C2×Q8×C67—21no—
493C2×Q8×C67—21no—
494C2×Q8×C67C2×D411yescharacteristic
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—21no—
517C2×D4×C67—21no—
518C2×D4×C67—21no—
519C2×D4×C67—21no—
520C2×D4×C67—41no—
521C2×D4×C67—41no—
522C2×D4×C67—41no—
523C2×D4×C67—41no—
524C2×D4×C67—41no—
525C2×D4×C67—41no—
526C2×D4×C67—82no—
527C2×D4×C67—82no—
528C2×D4×C67—82no—
529C2×D4×C67C2×D411yescharacteristic
530C2×D4×C67C2×D411yescharacteristic
531C2×D4×C67C2×D411yescharacteristic
532C2×D4×C67C2×D411yescharacteristic
533C2×D4×C67C2×D411yescharacteristic
534C2×D4×C67C2×D411yescharacteristic
535C2×D4×C67C2×D411yescharacteristic
536C2×D4×C67C2411yescharacteristic
537C2×D4×C67C2411yescharacteristic
538C2×D4×C67C2411yescharacteristic
539C2×D4×C67C2411yescharacteristic
540C2×D4×C67C2411yescharacteristic
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—21no—
548C22×C4×C67—21no—
549C22×C4×C67—21no—
550C22×C4×C67—21no—
551C22×C4×C67—21no—
552C22×C4×C67—21no—
553C22×C4×C67—21no—
554C22×C4×C67—21no—
555C22×C4×C67—21no—
556C22×C4×C67—21no—
557C22×C4×C67—41no—
558C22×C4×C67—41no—
559C22×C4×C67C2×D411yescharacteristic
560C22×C4×C67C2×D411yescharacteristic
561C22×C4×C67C2×D411yescharacteristic
562C22×C4×C67C2411yescharacteristic
563C22×C4×C67C2411yescharacteristic
564C22×C4×C67C2411yescharacteristic
565C22×C4×C67C2411yescharacteristic
566C22×C4×C67C2411yescharacteristic
567SD16×C67—41no—
568SD16×C67—41no—
569D8×C67—41no—
570D8×C67—41no—
571D8×C67—41no—
572D8×C67—41no—
573D8×C67—41no—
574D8×C67—41no—
575M16×C67—41no—
576M16×C67—41no—
577C2×C8×C67—41no—
578C2×C8×C67—41no—
579C2×C8×C67—41no—
580C2×C8×C67—41no—
581C2×C8×C67—41no—
582C2×C8×C67—41no—
583C2×C8×C67C2411yescharacteristic
584C2×C8×C67C2411yescharacteristic
585C2×C8×C67C2411yescharacteristic
586C2×C8×C67C2411yescharacteristic
587C2×C8×C67C2411yescharacteristic
588C2×C8×C67C2411yescharacteristic
589C2×C8×C67C2411yescharacteristic
590C2×C8×C67C2411yescharacteristic
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×C67—21no—
607C4⋊C4×C67—21no—
608C4⋊C4×C67—21no—
609C4⋊C4×C67—21no—
610C4⋊C4×C67—21no—
611C4⋊C4×C67C2×D411yescharacteristic
612C4⋊C4×C67C2×D411yescharacteristic
613C4⋊C4×C67C2×D411yescharacteristic
614C4⋊C4×C67C2×D411yescharacteristic
615C4⋊C4×C67C2×D411yescharacteristic
616C4⋊C4×C67C2×D411yescharacteristic
617C4⋊C4×C67C2411yescharacteristic
618C4⋊C4×C67C2411yescharacteristic
619C4⋊C4×C67C2411yescharacteristic
620C4⋊C4×C67C2411yescharacteristic
621C4⋊C4×C67C2411yescharacteristic
622C4⋊C4×C67C2411yescharacteristic
623C4⋊C4×C67C2411yescharacteristic
624C4⋊C4×C67C2411yescharacteristic
625C4⋊C4×C67C2411yescharacteristic
626C4⋊C4×C67C2411yescharacteristic
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×C67—21no—
659C22⋊C4×C67—21no—
660C22⋊C4×C67—21no—
661C22⋊C4×C67—21no—
662C22⋊C4×C67—21no—
663C22⋊C4×C67—21no—
664C22⋊C4×C67C2×D411yescharacteristic
665C22⋊C4×C67C2×D411yescharacteristic
666C22⋊C4×C67C2×D411yescharacteristic
667C22⋊C4×C67C2×D411yescharacteristic
668C22⋊C4×C67C2×D411yescharacteristic
669C22⋊C4×C67C2×D411yescharacteristic
670C22⋊C4×C67C2×D411yescharacteristic
671C22⋊C4×C67C2×D411yescharacteristic
672C22⋊C4×C67C2×D411yescharacteristic
673C22⋊C4×C67C2×D411yescharacteristic
674C42×C67—21no—
675C42×C67—21no—
676C42×C67—21no—
677C42×C67—21no—
678C42×C67—21no—
679C42×C67—21no—
680C42×C67—21no—
681C42×C67—21no—
682C42×C67—21no—
683C42×C67C2411yescharacteristic
684C42×C67C2411yescharacteristic
685C23×C67—22no—
686C23×C67—21no—
687C23×C67—21no—
688C23×C67—21no—
689C23×C67—21no—
690C23×C67—21no—
691C23×C67—41no—
692C23×C67—41no—
693C23×C67—42no—
694C23×C67—42no—
695C23×C67—81no—
696C23×C67—81no—
697C23×C67—81no—
698C23×C67—81no—
699C23×C67—81no—
700C23×C67—81no—
701C23×C67—81no—
702C23×C67C22×D411yescharacteristic
703C23×C67C22×D411yescharacteristic
704C23×C67C22×D411yescharacteristic
705C23×C67C22×D411yescharacteristic
706C23×C67C22×D411yescharacteristic
707Q8×C67—21no—
708Q8×C67—21no—
709Q8×C67—41no—
710Q8×C67—81no—
711Q8×C67—81no—
712Q8×C67—81no—
713D4×C67—22no—
714D4×C67—22no—
715D4×C67—21no—
716D4×C67—21no—
717D4×C67—21no—
718D4×C67—21no—
719D4×C67—21no—
720D4×C67—21no—
721D4×C67—21no—
722D4×C67—21no—
723D4×C67—21no—
724D4×C67—21no—
725D4×C67—41no—
726D4×C67—41no—
727D4×C67—41no—
728D4×C67—41no—
729D4×C67—41no—
730D4×C67—42no—
731D4×C67—42no—
732D4×C67—42no—
733D4×C67—42no—
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—
743D4×C67—81no—
744D4×C67—81no—
745D4×C67—81no—
746D4×C67—81no—
747D4×C67—81no—
748D4×C67—81no—
749D4×C67—81no—
750D4×C67—81no—
751D4×C67—81no—
752D4×C67—81no—
753D4×C67—81no—
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—21no—
766C2×C4×C67—21no—
767C2×C4×C67—21no—
768C2×C4×C67—21no—
769C2×C4×C67—21no—
770C2×C4×C67—21no—
771C2×C4×C67—21no—
772C2×C4×C67—21no—
773C2×C4×C67—21no—
774C2×C4×C67—21no—
775C2×C4×C67—41no—
776C2×C4×C67—41no—
777C2×C4×C67—41no—
778C2×C4×C67—42no—
779C2×C4×C67—42no—
780C2×C4×C67—81no—
781C2×C4×C67—81no—
782C2×C4×C67—81no—
783C2×C4×C67—81no—
784C2×C4×C67—81no—
785C2×C4×C67—81no—
786C2×C4×C67—81no—
787C2×C4×C67—81no—
788C2×C4×C67—81no—
789C2×C4×C67—81no—
790C2×C4×C67—81no—
791C2×C4×C67—81no—
792C2×C4×C67—81no—
793C2×C4×C67—81no—
794C2×C4×C67C22×D411yescharacteristic
795C2×C4×C67C22×D411yescharacteristic
796C2×C4×C67C22×D411yescharacteristic
797C2×C4×C67C22×D411yescharacteristic
798C2×C4×C67C22×D411yescharacteristic
799C2×C4×C67C22×D411yescharacteristic
800C2×C4×C67C22×D411yescharacteristic
801C2×C4×C67C22×D411yescharacteristic
802C2×C4×C67C22×D411yescharacteristic
803C2×C4×C67C2511yescharacteristic
804C8×C67—21no—
805C8×C67—21no—
806C8×C67—21no—
807C8×C67—21no—
808C8×C67—21no—
809C8×C67—21no—
810C8×C67—21no—
811C8×C67—21no—
812C22×C67—21no—
813C22×C67—21no—
814C22×C67—21no—
815C22×C67—21no—
816C22×C67—21no—
817C22×C67—21no—
818C22×C67—21no—
819C22×C67—21no—
820C22×C67—21no—
821C22×C67—21no—
822C22×C67—21no—
823C22×C67—21no—
824C22×C67—21no—
825C22×C67—21no—
826C22×C67—41no—
827C22×C67—41no—
828C22×C67—41no—
829C22×C67—41no—
830C22×C67—41no—
831C22×C67—41no—
832C22×C67—41no—
833C22×C67—41no—
834C22×C67—41no—
835C22×C67—41no—
836C22×C67—41no—
837C22×C67—41no—
838C22×C67—41no—
839C22×C67—41no—
840C22×C67—41no—
841C22×C67—82no—
842C22×C67—162no—
843C22×C67—162no—
844C22×C67—162no—
845C22×C67#57612yes—
846C22×C67C23×D411yescharacteristic
847C4×C67—21no—
848C4×C67—21no—
849C4×C67—21no—
850C4×C67—21no—
851C4×C67—21no—
852C4×C67—21no—
853C4×C67—21no—
854C4×C67—21no—
855C4×C67—21no—
856C4×C67—41no—
857C4×C67—41no—
858C4×C67—41no—
859C4×C67—41no—
860C4×C67—41no—
861C4×C67—41no—
862C4×C67—41no—
863C4×C67—41no—
864C4×C67—41no—
865C4×C67—41no—
866C4×C67—41no—
867C4×C67#58511yescharacteristic
868C4×C67#58511yescharacteristic
869#61772C6711yesmaximal, characteristic, direct product factor, Sylow
870C2×C67—22no—
871C2×C67—41no—
872C2×C67—41no—
873C2×C67—41no—
874C2×C67—41no—
875C2×C67—81no—
876C2×C67—81no—
877C2×C67—81no—
878C2×C67—81no—
879C2×C67—81no—
880C2×C67#348511yescharacteristic
881C2×C67C2×#57611yescharacteristic
882C2×C67#358411yescharacteristic
883#3542C2×C6711yescharacteristic, complemented
884#3494C2×C6711yescharacteristic, complemented
885#3347C2×C6711yescharacteristic, complemented
886#3347C2×C6711yescharacteristic, complemented
887#3345C2×C6711yescharacteristic, complemented
888#3343C2×C6711yescharacteristic, complemented
889#3341C2×C6711yescharacteristic, complemented
890#3339C2×C6711yescharacteristic, complemented
891#3337C2×C6711yescharacteristic, complemented
892#3334C2×C6711yescharacteristic, complemented
893#3319C2×C6711yescharacteristic, complemented
894#3318C2×C6711yescharacteristic, complemented
895#3309C2×C6711yescharacteristic, complemented
896#3306C2×C6711yescharacteristic, complemented
897#3305C2×C6711yescharacteristic, complemented
898#3297C2×C6711yescharacteristic, complemented
899#3297C2×C6711yescharacteristic, complemented
900#3294C2×C6711yescharacteristic, complemented
901#3243C2×C6711yescharacteristic, complemented
902#3241C2×C6711yescharacteristic, complemented
903#3199C2×C6711yescharacteristic, complemented
904#3198C2×C6711yescharacteristic, complemented
905#3188C2×C6711yescharacteristic, complemented
906#3186C2×C6711yescharacteristic, complemented
907#3122C2×C6711yescharacteristic, complemented
908#3118C2×C6711yescharacteristic, complemented
909#3098C2×C6711yescharacteristic, complemented
910#3096C2×C6711yescharacteristic, complemented
911#3091C2×C6711yescharacteristic, complemented
912C2×#482C2×C6711yescharacteristic, complemented
913#2977C2×C6711yescharacteristic, complemented
914C67#6177211yescharacteristic, direct product factor, Sylow
915#562—21no—
916#560—21no—
917#555C22×C6711yescharacteristic, complemented
918#555C22×C6711yescharacteristic, complemented
919#555C22×C6711yescharacteristic, complemented
920#553C22×C6711yescharacteristic
921#553C22×C6711yescharacteristic, complemented
922#553C22×C6711yescharacteristic, complemented
923#553C22×C6711yescharacteristic, complemented
924#553C22×C6711yescharacteristic, complemented
925#552C22×C6711yescharacteristic, complemented
926#551—21no—
927#551—21no—
928#551—21no—
929#550C22×C6711yescharacteristic, complemented
930#547C22×C6711yescharacteristic
931#547C22×C6711yescharacteristic, complemented
932#547C22×C6711yescharacteristic, complemented
933#546—21no—
934#546—21no—
935#546—21no—
936#546C22×C6711yescharacteristic, complemented
937#546C22×C6711yescharacteristic, complemented
938D42C22×C6711yescharacteristic, complemented
939#544C22×C6711yescharacteristic, complemented
940#542—21no—
941#542C22×C6711yescharacteristic
942#540—21no—
943#540—21no—
944#540C22×C6711yescharacteristic
945#538—21no—
946#537C22×C6711yescharacteristic
947#535—21no—
948#535C22×C6711yescharacteristic
949#535C22×C6711yescharacteristic, complemented
950#534—21no—
951#532—21no—
952#529—21no—
953#525C22×C6711yescharacteristic
954#525C22×C6711yescharacteristic
955C2×#121C22×C6711yescharacteristic
956C2×#121C22×C6711yescharacteristic, complemented
957#520C22×C6711yescharacteristic, complemented
958#518C22×C6711yescharacteristic, complemented
959C2×#117C22×C6711yescharacteristic, complemented
960#501C22×C6711yescharacteristic, complemented
961#501C22×C6711yescharacteristic, complemented
962#500C22×C6711yescharacteristic, complemented
963#499C22×C6711yescharacteristic, complemented
964#490C22×C6711yescharacteristic, complemented
965#489C22×C6711yescharacteristic, complemented
966#488C22×C6711yescharacteristic, complemented
967#486C22×C6711yescharacteristic, complemented
968#485C22×C6711yescharacteristic, complemented
969#485C22×C6711yescharacteristic, complemented
970#485C22×C6711yescharacteristic, complemented
971#484C22×C6711yescharacteristic, complemented
972#484C22×C6711yescharacteristic, complemented
973#484C22×C6711yescharacteristic, complemented
974#483C22×C6711yescharacteristic, complemented
975#482C22×C6711yescharacteristic
976#482C22×C6711yescharacteristic
977#482C22×C6711yescharacteristic, complemented
978#482C22×C6711yescharacteristic, complemented
979#482C22×C6711yescharacteristic, complemented
980#482C22×C6711yescharacteristic, complemented
981#482C22×C6711yescharacteristic, complemented
982#482C22×C6711yescharacteristic, complemented
983#482C22×C6711yescharacteristic, complemented
984#482C22×C6711yescharacteristic, complemented
985#482C22×C6711yescharacteristic, complemented
986#482C22×C6711yescharacteristic, complemented
987#482C22×C6711yescharacteristic, complemented
988#482C22×C6711yescharacteristic, complemented
989#482C22×C6711yescharacteristic, complemented
990#482C22×C6711yescharacteristic, complemented
991#482C22×C6711yescharacteristic, complemented
992#481C22×C6711yescharacteristic, complemented
993#481C22×C6711yescharacteristic, complemented
994#481C22×C6711yescharacteristic, complemented
995#481C22×C6711yescharacteristic, complemented
996#480C22×C6711yescharacteristic
997#480C22×C6711yescharacteristic, complemented
998#480C22×C6711yescharacteristic, complemented
999#480C22×C6711yescharacteristic, complemented
1000#480C22×C6711yescharacteristic, complemented
1001#480C22×C6711yescharacteristic, complemented
1002#480C22×C6711yescharacteristic, complemented
1003#480C22×C6711yescharacteristic, complemented
1004#479C22×C6711yescharacteristic, complemented
1005#478C22×C6711yescharacteristic, complemented
1006#478C22×C6711yescharacteristic, complemented
1007#478C22×C6711yescharacteristic, complemented
1008#478C22×C6711yescharacteristic, complemented
1009#478C22×C6711yescharacteristic, complemented
1010#477C22×C6711yescharacteristic, complemented
1011#476C22×C6711yescharacteristic, complemented
1012#476C22×C6711yescharacteristic, complemented
1013#474C22×C6711yescharacteristic, complemented
1014#474C22×C6711yescharacteristic, complemented
1015#474C22×C6711yescharacteristic, complemented
1016#469C22×C6711yescharacteristic, complemented
1017#469C22×C6711yescharacteristic, complemented
1018#469C22×C6711yescharacteristic, complemented
1019#468C22×C6711yescharacteristic, complemented
1020#466C22×C6711yescharacteristic
1021#466C22×C6711yescharacteristic
1022#466C22×C6711yescharacteristic
1023#466C22×C6711yescharacteristic
1024#466C22×C6711yescharacteristic, complemented
1025#466C22×C6711yescharacteristic, complemented
1026#466C22×C6711yescharacteristic, complemented
1027#466C22×C6711yescharacteristic, complemented
1028#466C22×C6711yescharacteristic, complemented
1029#465C22×C6711yescharacteristic, complemented
1030#465C22×C6711yescharacteristic, complemented
1031#465C22×C6711yescharacteristic, complemented
1032#463C22×C6711yescharacteristic, complemented
1033#463C22×C6711yescharacteristic, complemented
1034#459C22×C6711yescharacteristic, complemented
1035#459C22×C6711yescharacteristic, complemented
1036#450C22×C6711yescharacteristic, complemented
1037#449C22×C6711yescharacteristic, complemented
1038#449C22×C6711yescharacteristic, complemented
1039#449C22×C6711yescharacteristic, complemented
1040#449C22×C6711yescharacteristic, complemented
1041#447C22×C6711yescharacteristic
1042#447C22×C6711yescharacteristic
1043#447C22×C6711yescharacteristic
1044#447C22×C6711yescharacteristic, complemented
1045#447C22×C6711yescharacteristic, complemented
1046#447C22×C6711yescharacteristic, complemented
1047#447C22×C6711yescharacteristic, complemented
1048#442C22×C6711yescharacteristic, complemented
1049#442C22×C6711yescharacteristic, complemented
1050#442C22×C6711yescharacteristic, complemented
1051#440C22×C6711yescharacteristic, complemented
1052C4×SD16C22×C6711yescharacteristic, complemented
1053C4×D8C22×C6711yescharacteristic, complemented
1054C4×D8C22×C6711yescharacteristic, complemented
1055C4×D8C22×C6711yescharacteristic, complemented
1056#435C22×C6711yescharacteristic, complemented
1057#435C22×C6711yescharacteristic, complemented
1058#435C22×C6711yescharacteristic, complemented
1059#435C22×C6711yescharacteristic, complemented
1060C8×D4C22×C6711yescharacteristic, complemented
1061C8×D4C22×C6711yescharacteristic, complemented
1062C8×D4C22×C6711yescharacteristic, complemented
1063C8×D4C22×C6711yescharacteristic, complemented
1064#433C22×C6711yescharacteristic, complemented
1065#433C22×C6711yescharacteristic, complemented
1066#428C22×C6711yescharacteristic, complemented
1067#428C22×C6711yescharacteristic, complemented
1068#427C22×C6711yescharacteristic, complemented
1069#427C22×C6711yescharacteristic, complemented
1070#427C22×C6711yescharacteristic, complemented
1071C2×#107C22×C6711yescharacteristic, complemented
1072C2×#107C22×C6711yescharacteristic, complemented
1073C2×#106C22×C6711yescharacteristic, complemented
1074#418C22×C6711yescharacteristic, complemented
1075#417C22×C6711yescharacteristic, complemented
1076#416C22×C6711yescharacteristic, complemented
1077#416C22×C6711yescharacteristic, complemented
1078#416C22×C6711yescharacteristic, complemented
1079C2×#102C22×C6711yescharacteristic, complemented
1080C2×#102C22×C6711yescharacteristic, complemented
1081C2×#102C22×C6711yescharacteristic, complemented
1082#408C22×C6711yescharacteristic, complemented
1083#408C22×C6711yescharacteristic, complemented
1084C2×C22⋊C8C22×C6711yescharacteristic, complemented
1085C2×C22⋊C8C22×C6711yescharacteristic, complemented
1086C2×#41—21no—
1087C2×#41—21no—
1088C2×#41—21no—
1089C2×#41C23×C6711yescharacteristic
1090C2×#41C23×C6711yescharacteristic
1091C2×#41C23×C6711yescharacteristic
1092C22×D4—21no—
1093C22×D4—21no—
1094C22×D4—21no—
1095C22×D4C23×C6711yescharacteristic
1096C22×D4C23×C6711yescharacteristic
1097C22×D4C23×C6711yescharacteristic
1098C23×C4C23×C6711yescharacteristic
1099C2×SD16C23×C6711yescharacteristic
1100C2×SD16C23×C6711yescharacteristic
1101C2×D8C23×C6711yescharacteristic
1102C2×D8C23×C6711yescharacteristic
1103C2×D8C23×C6711yescharacteristic
1104C2×D8C23×C6711yescharacteristic
1105C2×D8C23×C6711yescharacteristic
1106C2×D8C23×C6711yescharacteristic
1107C2×M16C23×C6711yescharacteristic
1108C2×M16C23×C6711yescharacteristic
1109C22×C8C23×C6711yescharacteristic
1110C22×C8C23×C6711yescharacteristic
1111C22×C8C23×C6711yescharacteristic
1112C22×C8C23×C6711yescharacteristic
1113C22×C8C23×C6711yescharacteristic
1114C22×C8C23×C6711yescharacteristic
1115C4⋊Q8—21no—
1116C4⋊Q8C23×C6711yescharacteristic
1117C4⋊Q8C23×C6711yescharacteristic
1118C4⋊Q8C23×C6711yescharacteristic
1119#127—21no—
1120#127—21no—
1121#127—21no—
1122#127C23×C6711yescharacteristic
1123#126—21no—
1124#126—21no—
1125#126—21no—
1126#126—21no—
1127#126—21no—
1128#126—21no—
1129#126—21no—
1130#125—21no—
1131#125—21no—
1132#125C23×C6711yescharacteristic
1133#125C23×C6711yescharacteristic
1134#125C23×C6711yescharacteristic
1135#124—21no—
1136#124—21no—
1137#124—21no—
1138#124—21no—
1139#124—21no—
1140#124—21no—
1141#124—21no—
1142#124—21no—
1143#124—21no—
1144#124C23×C6711yescharacteristic
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—21no—
1151#123—21no—
1152#123—21no—
1153#123—21no—
1154#123—21no—
1155#123—21no—
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—21no—
1161#123—21no—
1162#123—21no—
1163#123D4×C6711yescharacteristic
1164#123D4×C6711yescharacteristic
1165C22⋊Q8—21no—
1166C22⋊Q8—21no—
1167C22⋊Q8—21no—
1168C22⋊Q8—21no—
1169C22⋊Q8—21no—
1170C22⋊Q8—21no—
1171C22⋊Q8—21no—
1172C22⋊Q8D4×C6711yescharacteristic
1173C22⋊Q8D4×C6711yescharacteristic
1174C22⋊Q8C23×C6711yescharacteristic
1175C22⋊Q8C23×C6711yescharacteristic
1176C22⋊Q8C23×C6711yescharacteristic
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#121—21no—
1186#121—21no—
1187#121—21no—
1188#121—21no—
1189#121—21no—
1190#121—21no—
1191#121—21no—
1192#121—21no—
1193#121—21no—
1194#121—21no—
1195#121—21no—
1196#121—21no—
1197#121—21no—
1198#121—21no—
1199#121D4×C6711yescharacteristic
1200#121D4×C6711yescharacteristic
1201#121C23×C6711yescharacteristic
1202#121C23×C6711yescharacteristic
1203#121C23×C6711yescharacteristic
1204#121C23×C6711yescharacteristic
1205#121C23×C6711yescharacteristic
1206#121C23×C6711yescharacteristic
1207#121C23×C6711yescharacteristic
1208#121C23×C6711yescharacteristic
1209#121C23×C6711yescharacteristic
1210#121C23×C6711yescharacteristic
1211#121C23×C6711yescharacteristic
1212#121C23×C6711yescharacteristic
1213#121C23×C6711yescharacteristic
1214#121C23×C6711yescharacteristic
1215#121C23×C6711yescharacteristic
1216#121C23×C6711yescharacteristic
1217#121C23×C6711yescharacteristic
1218#120—21no—
1219#120—21no—
1220#120—21no—
1221#120—21no—
1222#120—21no—
1223#120—21no—
1224#120—21no—
1225#120—21no—
1226#120—21no—
1227#120D4×C6711yescharacteristic
1228#120D4×C6711yescharacteristic
1229C4×Q8—21no—
1230C4×Q8C23×C6711yescharacteristic
1231C4×D4—21no—
1232C4×D4—21no—
1233C4×D4—21no—
1234C4×D4—21no—
1235C4×D4—21no—
1236C4×D4—21no—
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—21no—
1240C4×D4—21no—
1241C4×D4—21no—
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4C23×C6711yescharacteristic
1245C4×D4C23×C6711yescharacteristic
1246C4×D4C23×C6711yescharacteristic
1247C4×D4C23×C6711yescharacteristic
1248C4×D4C23×C6711yescharacteristic
1249C4×D4C23×C6711yescharacteristic
1250C4×D4C23×C6711yescharacteristic
1251C4×D4C23×C6711yescharacteristic
1252C4×D4C23×C6711yescharacteristic
1253C4×D4C23×C6711yescharacteristic
1254C4×D4C23×C6711yescharacteristic
1255#117—21no—
1256#117—21no—
1257#117—21no—
1258#117—21no—
1259#117—21no—
1260#117—21no—
1261#117C23×C6711yescharacteristic
1262#117C23×C6711yescharacteristic
1263#117C23×C6711yescharacteristic
1264#117C23×C6711yescharacteristic
1265#117C23×C6711yescharacteristic
1266#117C23×C6711yescharacteristic
1267#117C23×C6711yescharacteristic
1268#117C23×C6711yescharacteristic
1269#117C23×C6711yescharacteristic
1270C2×C4⋊C4C23×C6711yescharacteristic
1271C2×C4⋊C4C23×C6711yescharacteristic
1272C2×C4⋊C4C23×C6711yescharacteristic
1273C2×C4⋊C4C23×C6711yescharacteristic
1274C2×C4⋊C4C23×C6711yescharacteristic
1275C2×C4⋊C4C23×C6711yescharacteristic
1276C2×C4⋊C4C23×C6711yescharacteristic
1277C2×C22⋊C4—21no—
1278C2×C22⋊C4—21no—
1279C2×C22⋊C4—21no—
1280C2×C22⋊C4—21no—
1281C2×C22⋊C4—21no—
1282C2×C22⋊C4—21no—
1283C2×C22⋊C4—21no—
1284C2×C42—21no—
1285#107C23×C6711yescharacteristic
1286#107C23×C6711yescharacteristic
1287#107C23×C6711yescharacteristic
1288#107C23×C6711yescharacteristic
1289#107C23×C6711yescharacteristic
1290#107C23×C6711yescharacteristic
1291#107C23×C6711yescharacteristic
1292#107C23×C6711yescharacteristic
1293#107C23×C6711yescharacteristic
1294#107C23×C6711yescharacteristic
1295#107C23×C6711yescharacteristic
1296#107C23×C6711yescharacteristic
1297#107C23×C6711yescharacteristic
1298#107C23×C6711yescharacteristic
1299#106C23×C6711yescharacteristic
1300#106C23×C6711yescharacteristic
1301#106C23×C6711yescharacteristic
1302#106C23×C6711yescharacteristic
1303#106C23×C6711yescharacteristic
1304#106C23×C6711yescharacteristic
1305#106C23×C6711yescharacteristic
1306#106C23×C6711yescharacteristic
1307#106C23×C6711yescharacteristic
1308#106C23×C6711yescharacteristic
1309C4⋊C8C23×C6711yescharacteristic
1310C4⋊C8C23×C6711yescharacteristic
1311C4⋊C8C23×C6711yescharacteristic
1312C4⋊C8C23×C6711yescharacteristic
1313#103C23×C6711yescharacteristic
1314#103C23×C6711yescharacteristic
1315#103C23×C6711yescharacteristic
1316#103C23×C6711yescharacteristic
1317#103C23×C6711yescharacteristic
1318#103C23×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
1329#102C23×C6711yescharacteristic
1330#102C23×C6711yescharacteristic
1331#102C23×C6711yescharacteristic
1332#102C23×C6711yescharacteristic
1333#102C23×C6711yescharacteristic
1334#102C23×C6711yescharacteristic
1335#102C23×C6711yescharacteristic
1336#102C23×C6711yescharacteristic
1337#102C23×C6711yescharacteristic
1338#102C23×C6711yescharacteristic
1339#102C23×C6711yescharacteristic
1340#102C23×C6711yescharacteristic
1341#102C23×C6711yescharacteristic
1342#102C23×C6711yescharacteristic
1343#102C23×C6711yescharacteristic
1344#102C23×C6711yescharacteristic
1345C22⋊C8C23×C6711yescharacteristic
1346C22⋊C8C23×C6711yescharacteristic
1347C22⋊C8C23×C6711yescharacteristic
1348C22⋊C8C23×C6711yescharacteristic
1349C22⋊C8C23×C6711yescharacteristic
1350C22⋊C8C23×C6711yescharacteristic
1351C22⋊C8C23×C6711yescharacteristic
1352C22⋊C8C23×C6711yescharacteristic
1353C22⋊C8C23×C6711yescharacteristic
1354C22⋊C8C23×C6711yescharacteristic
1355C22⋊C8C23×C6711yescharacteristic
1356C22⋊C8C23×C6711yescharacteristic
1357#97C23×C6711yescharacteristic
1358#97C23×C6711yescharacteristic
1359C4×C8C23×C6711yescharacteristic
1360C4×C8C23×C6711yescharacteristic
1361C24—21no—
1362C24—21no—
1363C24—21no—
1364C24C2×D4×C6711yescharacteristic
1365#41—41no—
1366#41—41no—
1367#41—41no—
1368#41—41no—
1369#41—41no—
1370#41—41no—
1371#41—82no—
1372#41—82no—
1373#41—82no—
1374C2×Q8—21no—
1375C2×Q8—21no—
1376C2×Q8—21no—
1377C2×Q8C2×D4×C6711yescharacteristic
1378C2×Q8C24×C6711yescharacteristic
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—82no—
1410C2×D4—82no—
1411C2×D4—82no—
1412C2×D4C2×D4×C6711yescharacteristic
1413C2×D4C2×D4×C6711yescharacteristic
1414C2×D4C2×D4×C6711yescharacteristic
1415C2×D4C2×D4×C6711yescharacteristic
1416C2×D4C2×D4×C6711yescharacteristic
1417C2×D4C2×D4×C6711yescharacteristic
1418C2×D4C2×D4×C6711yescharacteristic
1419C2×D4C24×C6711yescharacteristic
1420C2×D4C24×C6711yescharacteristic
1421C2×D4C24×C6711yescharacteristic
1422C2×D4C24×C6711yescharacteristic
1423C2×D4C24×C6711yescharacteristic
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—41no—
1441C22×C4—41no—
1442C22×C4C2×D4×C6711yescharacteristic
1443C22×C4C2×D4×C6711yescharacteristic
1444C22×C4C2×D4×C6711yescharacteristic
1445C22×C4C24×C6711yescharacteristic
1446C22×C4C24×C6711yescharacteristic
1447C22×C4C24×C6711yescharacteristic
1448C22×C4C24×C6711yescharacteristic
1449C22×C4C24×C6711yescharacteristic
1450SD16—41no—
1451SD16—41no—
1452D8—41no—
1453D8—41no—
1454D8—41no—
1455D8—41no—
1456D8—41no—
1457D8—41no—
1458M16—41no—
1459M16—41no—
1460C2×C8—41no—
1461C2×C8—41no—
1462C2×C8—41no—
1463C2×C8—41no—
1464C2×C8—41no—
1465C2×C8—41no—
1466C2×C8C24×C6711yescharacteristic
1467C2×C8C24×C6711yescharacteristic
1468C2×C8C24×C6711yescharacteristic
1469C2×C8C24×C6711yescharacteristic
1470C2×C8C24×C6711yescharacteristic
1471C2×C8C24×C6711yescharacteristic
1472C2×C8C24×C6711yescharacteristic
1473C2×C8C24×C6711yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4C2×D4×C6711yescharacteristic
1495C4⋊C4C2×D4×C6711yescharacteristic
1496C4⋊C4C2×D4×C6711yescharacteristic
1497C4⋊C4C2×D4×C6711yescharacteristic
1498C4⋊C4C2×D4×C6711yescharacteristic
1499C4⋊C4C2×D4×C6711yescharacteristic
1500C4⋊C4C24×C6711yescharacteristic
1501C4⋊C4C24×C6711yescharacteristic
1502C4⋊C4C24×C6711yescharacteristic
1503C4⋊C4C24×C6711yescharacteristic
1504C4⋊C4C24×C6711yescharacteristic
1505C4⋊C4C24×C6711yescharacteristic
1506C4⋊C4C24×C6711yescharacteristic
1507C4⋊C4C24×C6711yescharacteristic
1508C4⋊C4C24×C6711yescharacteristic
1509C4⋊C4C24×C6711yescharacteristic
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⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4C2×D4×C6711yescharacteristic
1548C22⋊C4C2×D4×C6711yescharacteristic
1549C22⋊C4C2×D4×C6711yescharacteristic
1550C22⋊C4C2×D4×C6711yescharacteristic
1551C22⋊C4C2×D4×C6711yescharacteristic
1552C22⋊C4C2×D4×C6711yescharacteristic
1553C22⋊C4C2×D4×C6711yescharacteristic
1554C22⋊C4C2×D4×C6711yescharacteristic
1555C22⋊C4C2×D4×C6711yescharacteristic
1556C22⋊C4C2×D4×C6711yescharacteristic
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—21no—
1566C42C24×C6711yescharacteristic
1567C42C24×C6711yescharacteristic
1568C23—22no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—41no—
1575C23—41no—
1576C23—42no—
1577C23—42no—
1578C23—81no—
1579C23—81no—
1580C23—81no—
1581C23—81no—
1582C23—81no—
1583C23—81no—
1584C23—81no—
1585C23C22×D4×C6711yescharacteristic
1586C23C22×D4×C6711yescharacteristic
1587C23C22×D4×C6711yescharacteristic
1588C23C22×D4×C6711yescharacteristic
1589C23C22×D4×C6711yescharacteristic
1590Q8—21no—
1591Q8—21no—
1592Q8—41no—
1593Q8—81no—
1594Q8—81no—
1595Q8—81no—
1596D4—22no—
1597D4—22no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—41no—
1609D4—41no—
1610D4—41no—
1611D4—41no—
1612D4—41no—
1613D4—42no—
1614D4—42no—
1615D4—42no—
1616D4—42no—
1617D4—81no—
1618D4—81no—
1619D4—81no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4—81no—
1624D4—81no—
1625D4—81no—
1626D4—81no—
1627D4—81no—
1628D4—81no—
1629D4—81no—
1630D4—81no—
1631D4—81no—
1632D4—81no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—42no—
1662C2×C4—42no—
1663C2×C4—81no—
1664C2×C4—81no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—81no—
1668C2×C4—81no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4C22×D4×C6711yescharacteristic
1678C2×C4C22×D4×C6711yescharacteristic
1679C2×C4C22×D4×C6711yescharacteristic
1680C2×C4C22×D4×C6711yescharacteristic
1681C2×C4C22×D4×C6711yescharacteristic
1682C2×C4C22×D4×C6711yescharacteristic
1683C2×C4C22×D4×C6711yescharacteristic
1684C2×C4C22×D4×C6711yescharacteristic
1685C2×C4C22×D4×C6711yescharacteristic
1686C2×C4C25×C6711yescharacteristic
1687C8—21no—
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—21no—
1693C8—21no—
1694C8—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—21no—
1705C22—21no—
1706C22—21no—
1707C22—21no—
1708C22—21no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—82no—
1725C22—162no—
1726C22—162no—
1727C22—162no—
1728C22#576×C6712yes—
1729C22C23×D4×C6711yescharacteristic
1730C4—21no—
1731C4—21no—
1732C4—21no—
1733C4—21no—
1734C4—21no—
1735C4—21no—
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4#585×C6711yescharacteristic
1751C4#585×C6711yescharacteristic
1752C2—22no—
1753C2—41no—
1754C2—41no—
1755C2—41no—
1756C2—41no—
1757C2—81no—
1758C2—81no—
1759C2—81no—
1760C2—81no—
1761C2—81no—
1762C2C67×#348511yescharacteristic
1763C2C2×#576×C6711yescharacteristic
1764C2C67×#358411yescharacteristic
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×#3494C2semidirect
3. C67×#3347C2semidirect
4. C67×#3347C2semidirect
5. C67×#3345C2semidirect
6. C67×#3343C2semidirect
7. C67×#3341C2semidirect
8. C67×#3339C2semidirect
9. C67×#3337C2semidirect
10. C67×#3334C2semidirect
11. C67×#3319C2semidirect
12. C67×#3318C2semidirect
13. C67×#3309C2semidirect
14. C67×#3306C2semidirect
15. C67×#3305C2semidirect
16. C67×#3297C2semidirect
17. C67×#3297C2semidirect
18. C67×#3294C2semidirect
19. C67×#3243C2semidirect
20. C67×#3241C2semidirect
21. C67×#3199C2semidirect
22. C67×#3198C2semidirect
23. C67×#3188C2semidirect
24. C67×#3186C2semidirect
25. C67×#3122C2semidirect
26. C67×#3118C2semidirect
27. C67×#3098C2semidirect
28. C67×#3096C2semidirect
29. C67×#3091C2semidirect
30. C2×#482×C67C2semidirect
31. C67×#2977C2semidirect
34. #555×C67C22semidirect
35. #555×C67C22semidirect
36. #555×C67C22semidirect
38. #553×C67C22semidirect
39. #553×C67C22semidirect
40. #553×C67C22semidirect
41. #553×C67C22semidirect
42. #552×C67C22semidirect
46. #550×C67C22semidirect
48. #547×C67C22semidirect
49. #547×C67C22semidirect
53. #546×C67C22semidirect
54. #546×C67C22semidirect
55. D42×C67C22semidirect
56. #544×C67C22semidirect
66. #535×C67C22semidirect
73. C2×#121×C67C22semidirect
74. #520×C67C22semidirect
75. #518×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. #484×C67C22semidirect
89. #484×C67C22semidirect
90. #484×C67C22semidirect
91. #483×C67C22semidirect
94. #482×C67C22semidirect
95. #482×C67C22semidirect
96. #482×C67C22semidirect
97. #482×C67C22semidirect
98. #482×C67C22semidirect
99. #482×C67C22semidirect
100. #482×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. #481×C67C22semidirect
110. #481×C67C22semidirect
111. #481×C67C22semidirect
112. #481×C67C22semidirect
114. #480×C67C22semidirect
115. #480×C67C22semidirect
116. #480×C67C22semidirect
117. #480×C67C22semidirect
118. #480×C67C22semidirect
119. #480×C67C22semidirect
120. #480×C67C22semidirect
121. #479×C67C22semidirect
122. #478×C67C22semidirect
123. #478×C67C22semidirect
124. #478×C67C22semidirect
125. #478×C67C22semidirect
126. #478×C67C22semidirect
127. #477×C67C22semidirect
128. #476×C67C22semidirect
129. #476×C67C22semidirect
130. #474×C67C22semidirect
131. #474×C67C22semidirect
132. #474×C67C22semidirect
133. #469×C67C22semidirect
134. #469×C67C22semidirect
135. #469×C67C22semidirect
136. #468×C67C22semidirect
141. #466×C67C22semidirect
142. #466×C67C22semidirect
143. #466×C67C22semidirect
144. #466×C67C22semidirect
145. #466×C67C22semidirect
146. #465×C67C22semidirect
147. #465×C67C22semidirect
148. #465×C67C22semidirect
149. #463×C67C22semidirect
150. #463×C67C22semidirect
151. #459×C67C22semidirect
152. #459×C67C22semidirect
153. #450×C67C22semidirect
154. #449×C67C22semidirect
155. #449×C67C22semidirect
156. #449×C67C22semidirect
157. #449×C67C22semidirect
161. #447×C67C22semidirect
162. #447×C67C22semidirect
163. #447×C67C22semidirect
164. #447×C67C22semidirect
165. #442×C67C22semidirect
166. #442×C67C22semidirect
167. #442×C67C22semidirect
168. #440×C67C22semidirect
169. C4×SD16×C67C22semidirect
170. C4×D8×C67C22semidirect
171. C4×D8×C67C22semidirect
172. C4×D8×C67C22semidirect
173. #435×C67C22semidirect
174. #435×C67C22semidirect
175. #435×C67C22semidirect
176. #435×C67C22semidirect
177. C8×D4×C67C22semidirect
178. C8×D4×C67C22semidirect
179. C8×D4×C67C22semidirect
180. C8×D4×C67C22semidirect
181. #433×C67C22semidirect
182. #433×C67C22semidirect
183. #428×C67C22semidirect
184. #428×C67C22semidirect
185. #427×C67C22semidirect
186. #427×C67C22semidirect
187. #427×C67C22semidirect
188. C2×#107×C67C22semidirect
189. C2×#107×C67C22semidirect
190. C2×#106×C67C22semidirect
191. #418×C67C22semidirect
192. #417×C67C22semidirect
193. #416×C67C22semidirect
194. #416×C67C22semidirect
195. #416×C67C22semidirect
196. C2×#102×C67C22semidirect
197. C2×#102×C67C22semidirect
198. C2×#102×C67C22semidirect
199. #408×C67C22semidirect
200. #408×C67C22semidirect
201. C2×C22⋊C8×C67C22semidirect
202. C2×C22⋊C8×C67C22semidirect
869. #61772C67direct (N × H)
883. #3542C2×C67semidirect
884. #3494C2×C67semidirect
885. #3347C2×C67semidirect
886. #3347C2×C67semidirect
887. #3345C2×C67semidirect
888. #3343C2×C67semidirect
889. #3341C2×C67semidirect
890. #3339C2×C67semidirect
891. #3337C2×C67semidirect
892. #3334C2×C67semidirect
893. #3319C2×C67semidirect
894. #3318C2×C67semidirect
895. #3309C2×C67semidirect
896. #3306C2×C67semidirect
897. #3305C2×C67semidirect
898. #3297C2×C67semidirect
899. #3297C2×C67semidirect
900. #3294C2×C67semidirect
901. #3243C2×C67semidirect
902. #3241C2×C67semidirect
903. #3199C2×C67semidirect
904. #3198C2×C67semidirect
905. #3188C2×C67semidirect
906. #3186C2×C67semidirect
907. #3122C2×C67semidirect
908. #3118C2×C67semidirect
909. #3098C2×C67semidirect
910. #3096C2×C67semidirect
911. #3091C2×C67semidirect
912. C2×#482C2×C67semidirect
913. #2977C2×C67semidirect
914. C67#61772direct (N × H)
917. #555C22×C67semidirect
918. #555C22×C67semidirect
919. #555C22×C67semidirect
921. #553C22×C67semidirect
922. #553C22×C67semidirect
923. #553C22×C67semidirect
924. #553C22×C67semidirect
925. #552C22×C67semidirect
929. #550C22×C67semidirect
931. #547C22×C67semidirect
932. #547C22×C67semidirect
936. #546C22×C67semidirect
937. #546C22×C67semidirect
938. D42C22×C67semidirect
939. #544C22×C67semidirect
949. #535C22×C67semidirect
956. C2×#121C22×C67semidirect
957. #520C22×C67semidirect
958. #518C22×C67semidirect
959. C2×#117C22×C67semidirect
960. #501C22×C67semidirect
961. #501C22×C67semidirect
962. #500C22×C67semidirect
963. #499C22×C67semidirect
964. #490C22×C67semidirect
965. #489C22×C67semidirect
966. #488C22×C67semidirect
967. #486C22×C67semidirect
968. #485C22×C67semidirect
969. #485C22×C67semidirect
970. #485C22×C67semidirect
971. #484C22×C67semidirect
972. #484C22×C67semidirect
973. #484C22×C67semidirect
974. #483C22×C67semidirect
977. #482C22×C67semidirect
978. #482C22×C67semidirect
979. #482C22×C67semidirect
980. #482C22×C67semidirect
981. #482C22×C67semidirect
982. #482C22×C67semidirect
983. #482C22×C67semidirect
984. #482C22×C67semidirect
985. #482C22×C67semidirect
986. #482C22×C67semidirect
987. #482C22×C67semidirect
988. #482C22×C67semidirect
989. #482C22×C67semidirect
990. #482C22×C67semidirect
991. #482C22×C67semidirect
992. #481C22×C67semidirect
993. #481C22×C67semidirect
994. #481C22×C67semidirect
995. #481C22×C67semidirect
997. #480C22×C67semidirect
998. #480C22×C67semidirect
999. #480C22×C67semidirect
1000. #480C22×C67semidirect
1001. #480C22×C67semidirect
1002. #480C22×C67semidirect
1003. #480C22×C67semidirect
1004. #479C22×C67semidirect
1005. #478C22×C67semidirect
1006. #478C22×C67semidirect
1007. #478C22×C67semidirect
1008. #478C22×C67semidirect
1009. #478C22×C67semidirect
1010. #477C22×C67semidirect
1011. #476C22×C67semidirect
1012. #476C22×C67semidirect
1013. #474C22×C67semidirect
1014. #474C22×C67semidirect
1015. #474C22×C67semidirect
1016. #469C22×C67semidirect
1017. #469C22×C67semidirect
1018. #469C22×C67semidirect
1019. #468C22×C67semidirect
1024. #466C22×C67semidirect
1025. #466C22×C67semidirect
1026. #466C22×C67semidirect
1027. #466C22×C67semidirect
1028. #466C22×C67semidirect
1029. #465C22×C67semidirect
1030. #465C22×C67semidirect
1031. #465C22×C67semidirect
1032. #463C22×C67semidirect
1033. #463C22×C67semidirect
1034. #459C22×C67semidirect
1035. #459C22×C67semidirect
1036. #450C22×C67semidirect
1037. #449C22×C67semidirect
1038. #449C22×C67semidirect
1039. #449C22×C67semidirect
1040. #449C22×C67semidirect
1044. #447C22×C67semidirect
1045. #447C22×C67semidirect
1046. #447C22×C67semidirect
1047. #447C22×C67semidirect
1048. #442C22×C67semidirect
1049. #442C22×C67semidirect
1050. #442C22×C67semidirect
1051. #440C22×C67semidirect
1052. C4×SD16C22×C67semidirect
1053. C4×D8C22×C67semidirect
1054. C4×D8C22×C67semidirect
1055. C4×D8C22×C67semidirect
1056. #435C22×C67semidirect
1057. #435C22×C67semidirect
1058. #435C22×C67semidirect
1059. #435C22×C67semidirect
1060. C8×D4C22×C67semidirect
1061. C8×D4C22×C67semidirect
1062. C8×D4C22×C67semidirect
1063. C8×D4C22×C67semidirect
1064. #433C22×C67semidirect
1065. #433C22×C67semidirect
1066. #428C22×C67semidirect
1067. #428C22×C67semidirect
1068. #427C22×C67semidirect
1069. #427C22×C67semidirect
1070. #427C22×C67semidirect
1071. C2×#107C22×C67semidirect
1072. C2×#107C22×C67semidirect
1073. C2×#106C22×C67semidirect
1074. #418C22×C67semidirect
1075. #417C22×C67semidirect
1076. #416C22×C67semidirect
1077. #416C22×C67semidirect
1078. #416C22×C67semidirect
1079. C2×#102C22×C67semidirect
1080. C2×#102C22×C67semidirect
1081. C2×#102C22×C67semidirect
1082. #408C22×C67semidirect
1083. #408C22×C67semidirect
1084. C2×C22⋊C8C22×C67semidirect
1085. 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×#34942
C67×#33472
C67×#33452
C67×#33432
C67×#33412
C67×#33392
C67×#33372
C67×#33342
C67×#33192
C67×#33182
C67×#33092
C67×#33062
C67×#33052
C67×#32972
C67×#32942
C67×#32432
C67×#32412
C67×#31992
C67×#31982
C67×#31882
C67×#31862
C67×#31222
C67×#31182
C67×#30982
C67×#30962
C67×#30912
C2×#482×C672
C67×#29772
#6177267