Finite Group Databasebeta

← C67×#61506 #30740757

Subgroups — C67×#61506 #30740757

Order 17152.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3521C211yesmaximal, characteristic, complemented
2C67×#3519C211yesmaximal, characteristic, complemented
3C67×#3397C211yesmaximal, characteristic, complemented
4C67×#3389C211yesmaximal, characteristic, complemented
5C67×#3376C211yesmaximal, characteristic, complemented
6C67×#3366C211yesmaximal, characteristic, complemented
7C67×#3355C211yesmaximal, characteristic, complemented
8C67×#3350C211yesmaximal, characteristic, complemented
9C67×#3348C211yesmaximal, characteristic, complemented
10C67×#3324C211yesmaximal, characteristic, complemented
11C67×#3322C211yesmaximal, characteristic, complemented
12C67×#3319C211yesmaximal, characteristic, complemented
13C67×#3318C211yesmaximal, characteristic, complemented
14C67×#3310C211yesmaximal, characteristic, complemented
15C67×#3307C211yesmaximal, characteristic, complemented
16C67×#3272C211yesmaximal, characteristic, complemented
17C67×#3264C211yesmaximal, characteristic, complemented
18C67×#3264C211yesmaximal, characteristic, complemented
19C67×#3179C211yesmaximal, characteristic, complemented
20C67×#3174C211yesmaximal, characteristic, complemented
21C67×#3171C211yesmaximal, characteristic, complemented
22C67×#3123C211yesmaximal, characteristic, complemented
23C67×#3122C211yesmaximal, characteristic, complemented
24C67×#3119C211yesmaximal, characteristic, complemented
25C67×#3118C211yesmaximal, characteristic, complemented
26C67×#3115C211yesmaximal, characteristic, complemented
27C67×#3114C211yesmaximal, characteristic, complemented
28C67×#2967C211yesmaximal, characteristic, complemented
29C67×#2948C211yesmaximal, characteristic, complemented
30C67×#2946C211yesmaximal, characteristic, complemented
31C4×AGL(1,ℤ/8)×C67C211yesmaximal, characteristic, complemented
32C2×AGL(1,ℤ/8)×C67C2211yescharacteristic
33C2×AGL(1,ℤ/8)×C67C2211yescharacteristic
34C22×D8×C67C2211yescharacteristic
35#556×C67C2211yescharacteristic, complemented
36#556×C67C2211yescharacteristic, complemented
37#555×C67C2211yescharacteristic
38#554×C67C2211yescharacteristic, complemented
39#554×C67C2211yescharacteristic, complemented
40#553×C67—21no—
41#553×C67—21no—
42#553×C67C2211yescharacteristic
43#553×C67C2211yescharacteristic, complemented
44#553×C67C2211yescharacteristic, complemented
45#552×C67—21no—
46#552×C67C2211yescharacteristic, complemented
47#551×C67—21no—
48#551×C67—21no—
49#550×C67C2211yescharacteristic, complemented
50#547×C67C2211yescharacteristic, complemented
51#546×C67—21no—
52#546×C67—21no—
53#546×C67—21no—
54#546×C67C2211yescharacteristic, complemented
55#546×C67C2211yescharacteristic, complemented
56D42×C67C2211yescharacteristic
57D42×C67C2211yescharacteristic
58D42×C67C2211yescharacteristic, complemented
59#542×C67C2211yescharacteristic, complemented
60#541×C67C2211yescharacteristic, complemented
61#540×C67C2211yescharacteristic
62#540×C67C2211yescharacteristic, complemented
63#539×C67—21no—
64#538×C67—21no—
65#538×C67—21no—
66#538×C67—21no—
67#532×C67C2211yescharacteristic, complemented
68#529×C67—21no—
69#529×C67C2211yescharacteristic
70#529×C67C2211yescharacteristic, complemented
71C2×#126×C67—21no—
72#525×C67—21no—
73C2×#121×C67—21no—
74#520×C67C2211yescharacteristic, complemented
75#518×C67C2211yescharacteristic
76#518×C67C2211yescharacteristic, complemented
77#518×C67C2211yescharacteristic, complemented
78C4×#41×C67C2211yescharacteristic, complemented
79C2×C4×D4×C67C2211yescharacteristic, complemented
80#501×C67C2211yescharacteristic, complemented
81#501×C67C2211yescharacteristic, complemented
82#499×C67C2211yescharacteristic, complemented
83#496×C67C2211yescharacteristic, complemented
84#496×C67C2211yescharacteristic, complemented
85#492×C67C2211yescharacteristic, complemented
86#491×C67C2211yescharacteristic, complemented
87#490×C67C2211yescharacteristic, complemented
88#490×C67C2211yescharacteristic, complemented
89#489×C67C2211yescharacteristic, complemented
90#488×C67C2211yescharacteristic, complemented
91#486×C67C2211yescharacteristic, complemented
92#485×C67C2211yescharacteristic, complemented
93#485×C67C2211yescharacteristic, complemented
94#485×C67C2211yescharacteristic, complemented
95#483×C67C2211yescharacteristic, complemented
96#482×C67C2211yescharacteristic, complemented
97#482×C67C2211yescharacteristic, complemented
98#482×C67C2211yescharacteristic, complemented
99#482×C67C2211yescharacteristic, complemented
100#482×C67C2211yescharacteristic, complemented
101#481×C67C2211yescharacteristic, complemented
102#480×C67C2211yescharacteristic, complemented
103#480×C67C2211yescharacteristic, complemented
104#479×C67C2211yescharacteristic, complemented
105#478×C67C2211yescharacteristic, complemented
106#478×C67C2211yescharacteristic, complemented
107#478×C67C2211yescharacteristic, complemented
108#478×C67C2211yescharacteristic, complemented
109#478×C67C2211yescharacteristic, complemented
110#478×C67C2211yescharacteristic, complemented
111#478×C67C2211yescharacteristic, complemented
112#476×C67C2211yescharacteristic, complemented
113#475×C67C2211yescharacteristic, complemented
114#474×C67C2211yescharacteristic, complemented
115#474×C67C2211yescharacteristic, complemented
116#469×C67C2211yescharacteristic, complemented
117#469×C67C2211yescharacteristic, complemented
118#469×C67C2211yescharacteristic, complemented
119#468×C67C2211yescharacteristic, complemented
120#468×C67C2211yescharacteristic, complemented
121#468×C67C2211yescharacteristic, complemented
122#468×C67C2211yescharacteristic, complemented
123#468×C67C2211yescharacteristic, complemented
124#466×C67C2211yescharacteristic, complemented
125#465×C67C2211yescharacteristic, complemented
126#465×C67C2211yescharacteristic, complemented
127#465×C67C2211yescharacteristic, complemented
128#463×C67C2211yescharacteristic
129#463×C67C2211yescharacteristic
130#463×C67C2211yescharacteristic, complemented
131#463×C67C2211yescharacteristic, complemented
132#461×C67C2211yescharacteristic, complemented
133#461×C67C2211yescharacteristic, complemented
134#460×C67C2211yescharacteristic, complemented
135#460×C67C2211yescharacteristic, complemented
136#459×C67C2211yescharacteristic, complemented
137#459×C67C2211yescharacteristic, complemented
138#459×C67C2211yescharacteristic, complemented
139#459×C67C2211yescharacteristic, complemented
140#450×C67C2211yescharacteristic
141#450×C67C2211yescharacteristic
142#450×C67C2211yescharacteristic, complemented
143#450×C67C2211yescharacteristic, complemented
144#449×C67C2211yescharacteristic, complemented
145#449×C67C2211yescharacteristic, complemented
146#449×C67C2211yescharacteristic, complemented
147#449×C67C2211yescharacteristic, complemented
148#447×C67C2211yescharacteristic
149#447×C67C2211yescharacteristic
150#447×C67C2211yescharacteristic, complemented
151#447×C67C2211yescharacteristic, complemented
152#446×C67C2211yescharacteristic, complemented
153#446×C67C2211yescharacteristic, complemented
154#442×C67C2211yescharacteristic
155#442×C67C2211yescharacteristic
156#442×C67C2211yescharacteristic
157#442×C67C2211yescharacteristic
158#442×C67C2211yescharacteristic, complemented
159#442×C67C2211yescharacteristic, complemented
160#442×C67C2211yescharacteristic, complemented
161#442×C67C2211yescharacteristic, complemented
162#442×C67C2211yescharacteristic, complemented
163#440×C67C2211yescharacteristic, complemented
164#440×C67C2211yescharacteristic, complemented
165#440×C67C2211yescharacteristic, complemented
166#440×C67C2211yescharacteristic, complemented
167#440×C67C2211yescharacteristic, complemented
168#440×C67C2211yescharacteristic, complemented
169#440×C67C2211yescharacteristic, complemented
170C4×SD16×C67C2211yescharacteristic, complemented
171C4×SD16×C67C2211yescharacteristic, complemented
172C4×SD16×C67C2211yescharacteristic, complemented
173C4×SD16×C67C2211yescharacteristic, complemented
174C4×SD16×C67C2211yescharacteristic, complemented
175C4×D8×C67C2211yescharacteristic
176C4×D8×C67C2211yescharacteristic
177C4×D8×C67C2211yescharacteristic, complemented
178C4×D8×C67C2211yescharacteristic, complemented
179C4×D8×C67C2211yescharacteristic, complemented
180C4×D8×C67C2211yescharacteristic, complemented
181C4×D8×C67C2211yescharacteristic, complemented
182#436×C67C2211yescharacteristic, complemented
183#436×C67C2211yescharacteristic, complemented
184#435×C67C2211yescharacteristic, complemented
185#435×C67C2211yescharacteristic, complemented
186#435×C67C2211yescharacteristic, complemented
187#435×C67C2211yescharacteristic, complemented
188#433×C67C2211yescharacteristic, complemented
189#433×C67C2211yescharacteristic, complemented
190#432×C67C2211yescharacteristic, complemented
191#428×C67C2211yescharacteristic, complemented
192#428×C67C2211yescharacteristic, complemented
193#427×C67C2211yescharacteristic, complemented
194#418×C67C2211yescharacteristic
195#418×C67C2211yescharacteristic, complemented
196#418×C67C2211yescharacteristic, complemented
197#417×C67C2211yescharacteristic, complemented
198#416×C67C2211yescharacteristic, complemented
199C2×#102×C67C2211yescharacteristic, complemented
200#405×C67C2211yescharacteristic, complemented
201#405×C67C2211yescharacteristic, complemented
202C4×M16×C67C2211yescharacteristic, complemented
203C2×#41×C67—21no—
204C2×#41×C67—21no—
205C2×#41×C67C2311yescharacteristic
206C2×#41×C67C2311yescharacteristic
207C22×D4×C67—21no—
208C22×D4×C67—21no—
209C22×D4×C67—21no—
210C22×D4×C67C2311yescharacteristic
211C22×D4×C67C2311yescharacteristic
212C22×D4×C67C2311yescharacteristic
213C22×D4×C67C2311yescharacteristic
214C23×C4×C67—21no—
215AGL(1,ℤ/8)×C67—24no—
216AGL(1,ℤ/8)×C67—24no—
217C2×SD16×C67C2311yescharacteristic
218C2×SD16×C67C2311yescharacteristic
219C2×SD16×C67C2311yescharacteristic
220C2×SD16×C67C2311yescharacteristic
221C2×SD16×C67C2311yescharacteristic
222C2×SD16×C67C2311yescharacteristic
223C2×SD16×C67C2311yescharacteristic
224C2×SD16×C67C2311yescharacteristic
225C2×D8×C67—24no—
226C2×D8×C67C2311yescharacteristic
227C2×D8×C67C2311yescharacteristic
228C2×D8×C67C2311yescharacteristic
229C2×D8×C67C2311yescharacteristic
230C2×D8×C67C2311yescharacteristic
231C2×D8×C67C2311yescharacteristic
232C2×D8×C67C2311yescharacteristic
233C2×D8×C67C2311yescharacteristic
234C2×M16×C67C2311yescharacteristic
235C2×M16×C67C2311yescharacteristic
236C2×M16×C67C2311yescharacteristic
237C2×M16×C67C2311yescharacteristic
238C22×C8×C67C2311yescharacteristic
239C22×C8×C67C2311yescharacteristic
240C4⋊Q8×C67C2311yescharacteristic
241C4⋊Q8×C67C2311yescharacteristic
242C4⋊Q8×C67C2311yescharacteristic
243#127×C67C2311yescharacteristic
244#127×C67C2311yescharacteristic
245#127×C67C2311yescharacteristic
246#126×C67—21no—
247#126×C67—21no—
248#126×C67—21no—
249#126×C67—21no—
250#126×C67—21no—
251#126×C67—21no—
252#126×C67—21no—
253#126×C67—21no—
254#126×C67—21no—
255#126×C67—21no—
256#126×C67—21no—
257#126×C67—21no—
258#126×C67D411yescharacteristic
259#126×C67D411yescharacteristic
260#125×C67—21no—
261#125×C67—21no—
262#125×C67—21no—
263#125×C67D411yescharacteristic
264#125×C67C2311yescharacteristic
265#125×C67C2311yescharacteristic
266#125×C67C2311yescharacteristic
267#125×C67C2311yescharacteristic
268#124×C67—21no—
269#124×C67—21no—
270#124×C67—21no—
271#124×C67—21no—
272#124×C67—21no—
273#124×C67D411yescharacteristic
274#124×C67C2311yescharacteristic
275#124×C67C2311yescharacteristic
276#123×C67—21no—
277#123×C67—21no—
278#123×C67—21no—
279#123×C67—21no—
280#123×C67—21no—
281#123×C67—21no—
282#123×C67—21no—
283#123×C67—21no—
284#123×C67—21no—
285#123×C67—21no—
286#123×C67—21no—
287#123×C67—21no—
288#123×C67—21no—
289#123×C67—21no—
290#123×C67D411yescharacteristic
291#123×C67D411yescharacteristic
292C22⋊Q8×C67—21no—
293C22⋊Q8×C67—21no—
294C22⋊Q8×C67—21no—
295C22⋊Q8×C67—21no—
296C22⋊Q8×C67—21no—
297C22⋊Q8×C67—21no—
298C22⋊Q8×C67—21no—
299C22⋊Q8×C67—21no—
300C22⋊Q8×C67D411yescharacteristic
301C22⋊Q8×C67C2311yescharacteristic
302C22⋊Q8×C67C2311yescharacteristic
303C22⋊Q8×C67C2311yescharacteristic
304C22⋊Q8×C67C2311yescharacteristic
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×C67—21no—
319#121×C67—21no—
320#121×C67—21no—
321#121×C67—21no—
322#121×C67—21no—
323#121×C67D411yescharacteristic
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#120×C67—21no—
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—
340C4×Q8×C67—21no—
341C4×Q8×C67C2311yescharacteristic
342C4×Q8×C67C2311yescharacteristic
343C4×Q8×C67C2311yescharacteristic
344C4×Q8×C67C2311yescharacteristic
345C4×Q8×C67C2311yescharacteristic
346C4×D4×C67—21no—
347C4×D4×C67—21no—
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×C67—21no—
362C4×D4×C67—21no—
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
372C4×D4×C67C2311yescharacteristic
373C4×D4×C67C2311yescharacteristic
374C4×D4×C67C2311yescharacteristic
375C4×D4×C67C2311yescharacteristic
376C4×D4×C67C2311yescharacteristic
377C4×D4×C67C2311yescharacteristic
378C4×D4×C67C2311yescharacteristic
379C4×D4×C67C2311yescharacteristic
380C4×D4×C67C2311yescharacteristic
381C4×D4×C67C2311yescharacteristic
382#117×C67—21no—
383#117×C67—21no—
384#117×C67—21no—
385#117×C67—21no—
386#117×C67—21no—
387#117×C67—21no—
388#117×C67C2311yescharacteristic
389#117×C67C2311yescharacteristic
390#117×C67C2311yescharacteristic
391#117×C67C2311yescharacteristic
392#117×C67C2311yescharacteristic
393#117×C67C2311yescharacteristic
394C2×C4⋊C4×C67—21no—
395C2×C4⋊C4×C67—21no—
396C2×C4⋊C4×C67—21no—
397C2×C4⋊C4×C67—21no—
398C2×C4⋊C4×C67C2311yescharacteristic
399C2×C4⋊C4×C67C2311yescharacteristic
400C2×C22⋊C4×C67—21no—
401C2×C22⋊C4×C67—21no—
402C2×C22⋊C4×C67—21no—
403C2×C22⋊C4×C67—21no—
404C2×C22⋊C4×C67—21no—
405C2×C22⋊C4×C67—21no—
406C2×C22⋊C4×C67—21no—
407C2×C22⋊C4×C67—21no—
408C2×C22⋊C4×C67—21no—
409C2×C42×C67—21no—
410C2×C42×C67C2311yescharacteristic
411#107×C67C2311yescharacteristic
412#107×C67C2311yescharacteristic
413#107×C67C2311yescharacteristic
414#107×C67C2311yescharacteristic
415#107×C67C2311yescharacteristic
416#107×C67C2311yescharacteristic
417#107×C67C2311yescharacteristic
418#107×C67C2311yescharacteristic
419#106×C67C2311yescharacteristic
420#106×C67C2311yescharacteristic
421#106×C67C2311yescharacteristic
422#106×C67C2311yescharacteristic
423#106×C67C2311yescharacteristic
424#106×C67C2311yescharacteristic
425#106×C67C2311yescharacteristic
426#106×C67C2311yescharacteristic
427C4⋊C8×C67C2311yescharacteristic
428C4⋊C8×C67C2311yescharacteristic
429C4⋊C8×C67C2311yescharacteristic
430C4⋊C8×C67C2311yescharacteristic
431C4⋊C8×C67C2311yescharacteristic
432C4⋊C8×C67C2311yescharacteristic
433#103×C67C2311yescharacteristic
434#103×C67C2311yescharacteristic
435#103×C67C2311yescharacteristic
436#103×C67C2311yescharacteristic
437#103×C67C2311yescharacteristic
438#103×C67C2311yescharacteristic
439#103×C67C2311yescharacteristic
440#103×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
462#102×C67C2311yescharacteristic
463#102×C67C2311yescharacteristic
464#102×C67C2311yescharacteristic
465C22⋊C8×C67C2311yescharacteristic
466C22⋊C8×C67C2311yescharacteristic
467C22⋊C8×C67C2311yescharacteristic
468C22⋊C8×C67C2311yescharacteristic
469C22⋊C8×C67C2311yescharacteristic
470C22⋊C8×C67C2311yescharacteristic
471#97×C67C2311yescharacteristic
472#97×C67C2311yescharacteristic
473#97×C67C2311yescharacteristic
474#97×C67C2311yescharacteristic
475#97×C67C2311yescharacteristic
476#97×C67C2311yescharacteristic
477C4×C8×C67C2311yescharacteristic
478C4×C8×C67C2311yescharacteristic
479C4×C8×C67C2311yescharacteristic
480C4×C8×C67C2311yescharacteristic
481C24×C67—21no—
482C24×C67—21no—
483C24×C67—21no—
484C24×C67—21no—
485#41×C67—22no—
486#41×C67—22no—
487#41×C67—41no—
488#41×C67—41no—
489#41×C67—82no—
490#41×C67—82no—
491C2×Q8×C67—21no—
492C2×Q8×C67—21no—
493C2×Q8×C67C2×D411yescharacteristic
494C2×Q8×C67C2411yescharacteristic
495C2×Q8×C67C2411yescharacteristic
496C2×D4×C67—22no—
497C2×D4×C67—22no—
498C2×D4×C67—22no—
499C2×D4×C67—22no—
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—82no—
525C2×D4×C67—82no—
526C2×D4×C67—82no—
527C2×D4×C67C2×D411yescharacteristic
528C2×D4×C67C2×D411yescharacteristic
529C2×D4×C67C2×D411yescharacteristic
530C2×D4×C67C2411yescharacteristic
531C2×D4×C67C2411yescharacteristic
532C2×D4×C67C2411yescharacteristic
533C2×D4×C67C2411yescharacteristic
534C2×D4×C67C2411yescharacteristic
535C2×D4×C67C2411yescharacteristic
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—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—82no—
557C22×C4×C67C2×D411yescharacteristic
558C22×C4×C67C2×D411yescharacteristic
559C22×C4×C67C2411yescharacteristic
560C22×C4×C67C2411yescharacteristic
561C22×C4×C67C2411yescharacteristic
562SD16×C67—22no—
563SD16×C67—22no—
564SD16×C67—22no—
565SD16×C67—22no—
566SD16×C67—41no—
567SD16×C67—41no—
568SD16×C67—41no—
569SD16×C67—41no—
570D8×C67—22no—
571D8×C67—22no—
572D8×C67—22no—
573D8×C67—22no—
574D8×C67—22no—
575D8×C67—41no—
576D8×C67—41no—
577D8×C67#4114yescomplemented
578M16×C67—22no—
579M16×C67—22no—
580M16×C67—41no—
581M16×C67—41no—
582C2×C8×C67—22no—
583C2×C8×C67—41no—
584C2×C8×C67C2411yescharacteristic
585C2×C8×C67C2411yescharacteristic
586C2×C8×C67C2411yescharacteristic
587C2×C8×C67C2411yescharacteristic
588C2×C8×C67C2411yescharacteristic
589C2×C8×C67C2411yescharacteristic
590C2×C8×C67C2411yescharacteristic
591C2×C8×C67C2411yescharacteristic
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×C67—21no—
612C4⋊C4×C67—21no—
613C4⋊C4×C67—21no—
614C4⋊C4×C67C2×D411yescharacteristic
615C4⋊C4×C67C2×D411yescharacteristic
616C4⋊C4×C67C2×D411yescharacteristic
617C4⋊C4×C67C2×D411yescharacteristic
618C4⋊C4×C67C2×D411yescharacteristic
619C4⋊C4×C67C2×D411yescharacteristic
620C4⋊C4×C67C2×D411yescharacteristic
621C4⋊C4×C67C2×D411yescharacteristic
622C4⋊C4×C67C2×D411yescharacteristic
623C4⋊C4×C67C2×D411yescharacteristic
624C4⋊C4×C67C2411yescharacteristic
625C4⋊C4×C67C2411yescharacteristic
626C4⋊C4×C67C2411yescharacteristic
627C4⋊C4×C67C2411yescharacteristic
628C4⋊C4×C67C2411yescharacteristic
629C4⋊C4×C67C2411yescharacteristic
630C4⋊C4×C67C2411yescharacteristic
631C4⋊C4×C67C2411yescharacteristic
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×C67—21no—
665C22⋊C4×C67—21no—
666C22⋊C4×C67—21no—
667C22⋊C4×C67—21no—
668C22⋊C4×C67C2×D411yescharacteristic
669C22⋊C4×C67C2×D411yescharacteristic
670C22⋊C4×C67C2×D411yescharacteristic
671C22⋊C4×C67C2×D411yescharacteristic
672C22⋊C4×C67C2×D411yescharacteristic
673C22⋊C4×C67C2×D411yescharacteristic
674C22⋊C4×C67C2×D411yescharacteristic
675C22⋊C4×C67C2×D411yescharacteristic
676C22⋊C4×C67C2×D411yescharacteristic
677C22⋊C4×C67C2×D411yescharacteristic
678C42×C67—21no—
679C42×C67—21no—
680C42×C67—21no—
681C42×C67—21no—
682C42×C67—21no—
683C42×C67—21no—
684C42×C67—21no—
685C42×C67—21no—
686C42×C67C2×D411yescharacteristic
687C42×C67C2×D411yescharacteristic
688C42×C67C2411yescharacteristic
689C42×C67C2411yescharacteristic
690C42×C67C2411yescharacteristic
691C42×C67C2411yescharacteristic
692C23×C67—21no—
693C23×C67—21no—
694C23×C67—21no—
695C23×C67—21no—
696C23×C67—21no—
697C23×C67—21no—
698C23×C67—42no—
699C23×C67—42no—
700C23×C67—42no—
701C23×C67—42no—
702C23×C67—42no—
703C23×C67—81no—
704C23×C67—81no—
705C23×C67—81no—
706C23×C67—81no—
707C23×C67—81no—
708C23×C67—81no—
709C23×C67—81no—
710C23×C67C22×D411yescharacteristic
711C23×C67C22×D411yescharacteristic
712C23×C67C22×D411yescharacteristic
713Q8×C67—21no—
714Q8×C67—21no—
715Q8×C67—21no—
716Q8×C67—21no—
717Q8×C67—41no—
718Q8×C67—81no—
719Q8×C67—81no—
720D4×C67—21no—
721D4×C67—21no—
722D4×C67—21no—
723D4×C67—21no—
724D4×C67—21no—
725D4×C67—21no—
726D4×C67—21no—
727D4×C67—21no—
728D4×C67—21no—
729D4×C67—21no—
730D4×C67—41no—
731D4×C67—41no—
732D4×C67—41no—
733D4×C67—42no—
734D4×C67—42no—
735D4×C67—42no—
736D4×C67—42no—
737D4×C67—42no—
738D4×C67—42no—
739D4×C67—42no—
740D4×C67—42no—
741D4×C67—42no—
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×C67C2×#4112yes—
754D4×C67C2×#4112yes—
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—41no—
772C2×C4×C67—41no—
773C2×C4×C67—42no—
774C2×C4×C67—42no—
775C2×C4×C67—42no—
776C2×C4×C67—42no—
777C2×C4×C67—81no—
778C2×C4×C67—81no—
779C2×C4×C67—81no—
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×C67C22×D411yescharacteristic
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×C67C22×D411yescharacteristic
804C2×C4×C67C2511yescharacteristic
805C8×C67—21no—
806C8×C67—21no—
807C8×C67—21no—
808C8×C67—21no—
809C8×C67—21no—
810C8×C67—21no—
811C8×C67—21no—
812C8×C67C2×#4112yes—
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—22no—
823C22×C67—22no—
824C22×C67—41no—
825C22×C67—41no—
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—84no—
841C22×C67—162no—
842C22×C67—162no—
843C22×C67—162no—
844C22×C67C23×D411yescharacteristic
845C4×C67—21no—
846C4×C67—21no—
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×C67C22×#4111yescharacteristic
867C4×C67#58511yescharacteristic
868#61506C6711yesmaximal, characteristic, direct product factor, Sylow
869C2×C67—41no—
870C2×C67—41no—
871C2×C67—41no—
872C2×C67—42no—
873C2×C67—42no—
874C2×C67—81no—
875C2×C67—81no—
876C2×C67—81no—
877C2×C67—81no—
878C2×C67D4×#4111yescharacteristic
879C2×C67#358511yescharacteristic
880C2×C67#358511yescharacteristic
881#3521C2×C6711yescharacteristic, complemented
882#3519C2×C6711yescharacteristic, complemented
883#3397C2×C6711yescharacteristic, complemented
884#3389C2×C6711yescharacteristic, complemented
885#3376C2×C6711yescharacteristic, complemented
886#3366C2×C6711yescharacteristic, complemented
887#3355C2×C6711yescharacteristic, complemented
888#3350C2×C6711yescharacteristic, complemented
889#3348C2×C6711yescharacteristic, complemented
890#3324C2×C6711yescharacteristic, complemented
891#3322C2×C6711yescharacteristic, complemented
892#3319C2×C6711yescharacteristic, complemented
893#3318C2×C6711yescharacteristic, complemented
894#3310C2×C6711yescharacteristic, complemented
895#3307C2×C6711yescharacteristic, complemented
896#3272C2×C6711yescharacteristic, complemented
897#3264C2×C6711yescharacteristic, complemented
898#3264C2×C6711yescharacteristic, complemented
899#3179C2×C6711yescharacteristic, complemented
900#3174C2×C6711yescharacteristic, complemented
901#3171C2×C6711yescharacteristic, complemented
902#3123C2×C6711yescharacteristic, complemented
903#3122C2×C6711yescharacteristic, complemented
904#3119C2×C6711yescharacteristic, complemented
905#3118C2×C6711yescharacteristic, complemented
906#3115C2×C6711yescharacteristic, complemented
907#3114C2×C6711yescharacteristic, complemented
908#2967C2×C6711yescharacteristic, complemented
909#2948C2×C6711yescharacteristic, complemented
910#2946C2×C6711yescharacteristic, complemented
911C4×AGL(1,ℤ/8)C2×C6711yescharacteristic, complemented
912C67#6150611yescharacteristic, direct product factor, Sylow
913C2×AGL(1,ℤ/8)C22×C6711yescharacteristic
914C2×AGL(1,ℤ/8)C22×C6711yescharacteristic
915C22×D8C22×C6711yescharacteristic
916#556C22×C6711yescharacteristic, complemented
917#556C22×C6711yescharacteristic, complemented
918#555C22×C6711yescharacteristic
919#554C22×C6711yescharacteristic, complemented
920#554C22×C6711yescharacteristic, complemented
921#553—21no—
922#553—21no—
923#553C22×C6711yescharacteristic
924#553C22×C6711yescharacteristic, complemented
925#553C22×C6711yescharacteristic, complemented
926#552—21no—
927#552C22×C6711yescharacteristic, complemented
928#551—21no—
929#551—21no—
930#550C22×C6711yescharacteristic, complemented
931#547C22×C6711yescharacteristic, complemented
932#546—21no—
933#546—21no—
934#546—21no—
935#546C22×C6711yescharacteristic, complemented
936#546C22×C6711yescharacteristic, complemented
937D42C22×C6711yescharacteristic
938D42C22×C6711yescharacteristic
939D42C22×C6711yescharacteristic, complemented
940#542C22×C6711yescharacteristic, complemented
941#541C22×C6711yescharacteristic, complemented
942#540C22×C6711yescharacteristic
943#540C22×C6711yescharacteristic, complemented
944#539—21no—
945#538—21no—
946#538—21no—
947#538—21no—
948#532C22×C6711yescharacteristic, complemented
949#529—21no—
950#529C22×C6711yescharacteristic
951#529C22×C6711yescharacteristic, complemented
952C2×#126—21no—
953#525—21no—
954C2×#121—21no—
955#520C22×C6711yescharacteristic, complemented
956#518C22×C6711yescharacteristic
957#518C22×C6711yescharacteristic, complemented
958#518C22×C6711yescharacteristic, complemented
959C4×#41C22×C6711yescharacteristic, complemented
960C2×C4×D4C22×C6711yescharacteristic, complemented
961#501C22×C6711yescharacteristic, complemented
962#501C22×C6711yescharacteristic, complemented
963#499C22×C6711yescharacteristic, complemented
964#496C22×C6711yescharacteristic, complemented
965#496C22×C6711yescharacteristic, complemented
966#492C22×C6711yescharacteristic, complemented
967#491C22×C6711yescharacteristic, complemented
968#490C22×C6711yescharacteristic, complemented
969#490C22×C6711yescharacteristic, complemented
970#489C22×C6711yescharacteristic, complemented
971#488C22×C6711yescharacteristic, complemented
972#486C22×C6711yescharacteristic, complemented
973#485C22×C6711yescharacteristic, complemented
974#485C22×C6711yescharacteristic, complemented
975#485C22×C6711yescharacteristic, complemented
976#483C22×C6711yescharacteristic, complemented
977#482C22×C6711yescharacteristic, complemented
978#482C22×C6711yescharacteristic, complemented
979#482C22×C6711yescharacteristic, complemented
980#482C22×C6711yescharacteristic, complemented
981#482C22×C6711yescharacteristic, complemented
982#481C22×C6711yescharacteristic, complemented
983#480C22×C6711yescharacteristic, complemented
984#480C22×C6711yescharacteristic, complemented
985#479C22×C6711yescharacteristic, complemented
986#478C22×C6711yescharacteristic, complemented
987#478C22×C6711yescharacteristic, complemented
988#478C22×C6711yescharacteristic, complemented
989#478C22×C6711yescharacteristic, complemented
990#478C22×C6711yescharacteristic, complemented
991#478C22×C6711yescharacteristic, complemented
992#478C22×C6711yescharacteristic, complemented
993#476C22×C6711yescharacteristic, complemented
994#475C22×C6711yescharacteristic, complemented
995#474C22×C6711yescharacteristic, complemented
996#474C22×C6711yescharacteristic, complemented
997#469C22×C6711yescharacteristic, complemented
998#469C22×C6711yescharacteristic, complemented
999#469C22×C6711yescharacteristic, complemented
1000#468C22×C6711yescharacteristic, complemented
1001#468C22×C6711yescharacteristic, complemented
1002#468C22×C6711yescharacteristic, complemented
1003#468C22×C6711yescharacteristic, complemented
1004#468C22×C6711yescharacteristic, complemented
1005#466C22×C6711yescharacteristic, complemented
1006#465C22×C6711yescharacteristic, complemented
1007#465C22×C6711yescharacteristic, complemented
1008#465C22×C6711yescharacteristic, complemented
1009#463C22×C6711yescharacteristic
1010#463C22×C6711yescharacteristic
1011#463C22×C6711yescharacteristic, complemented
1012#463C22×C6711yescharacteristic, complemented
1013#461C22×C6711yescharacteristic, complemented
1014#461C22×C6711yescharacteristic, complemented
1015#460C22×C6711yescharacteristic, complemented
1016#460C22×C6711yescharacteristic, complemented
1017#459C22×C6711yescharacteristic, complemented
1018#459C22×C6711yescharacteristic, complemented
1019#459C22×C6711yescharacteristic, complemented
1020#459C22×C6711yescharacteristic, complemented
1021#450C22×C6711yescharacteristic
1022#450C22×C6711yescharacteristic
1023#450C22×C6711yescharacteristic, complemented
1024#450C22×C6711yescharacteristic, complemented
1025#449C22×C6711yescharacteristic, complemented
1026#449C22×C6711yescharacteristic, complemented
1027#449C22×C6711yescharacteristic, complemented
1028#449C22×C6711yescharacteristic, complemented
1029#447C22×C6711yescharacteristic
1030#447C22×C6711yescharacteristic
1031#447C22×C6711yescharacteristic, complemented
1032#447C22×C6711yescharacteristic, complemented
1033#446C22×C6711yescharacteristic, complemented
1034#446C22×C6711yescharacteristic, complemented
1035#442C22×C6711yescharacteristic
1036#442C22×C6711yescharacteristic
1037#442C22×C6711yescharacteristic
1038#442C22×C6711yescharacteristic
1039#442C22×C6711yescharacteristic, complemented
1040#442C22×C6711yescharacteristic, complemented
1041#442C22×C6711yescharacteristic, complemented
1042#442C22×C6711yescharacteristic, complemented
1043#442C22×C6711yescharacteristic, complemented
1044#440C22×C6711yescharacteristic, complemented
1045#440C22×C6711yescharacteristic, complemented
1046#440C22×C6711yescharacteristic, complemented
1047#440C22×C6711yescharacteristic, complemented
1048#440C22×C6711yescharacteristic, complemented
1049#440C22×C6711yescharacteristic, complemented
1050#440C22×C6711yescharacteristic, complemented
1051C4×SD16C22×C6711yescharacteristic, complemented
1052C4×SD16C22×C6711yescharacteristic, complemented
1053C4×SD16C22×C6711yescharacteristic, complemented
1054C4×SD16C22×C6711yescharacteristic, complemented
1055C4×SD16C22×C6711yescharacteristic, complemented
1056C4×D8C22×C6711yescharacteristic
1057C4×D8C22×C6711yescharacteristic
1058C4×D8C22×C6711yescharacteristic, complemented
1059C4×D8C22×C6711yescharacteristic, complemented
1060C4×D8C22×C6711yescharacteristic, complemented
1061C4×D8C22×C6711yescharacteristic, complemented
1062C4×D8C22×C6711yescharacteristic, complemented
1063#436C22×C6711yescharacteristic, complemented
1064#436C22×C6711yescharacteristic, complemented
1065#435C22×C6711yescharacteristic, complemented
1066#435C22×C6711yescharacteristic, complemented
1067#435C22×C6711yescharacteristic, complemented
1068#435C22×C6711yescharacteristic, complemented
1069#433C22×C6711yescharacteristic, complemented
1070#433C22×C6711yescharacteristic, complemented
1071#432C22×C6711yescharacteristic, complemented
1072#428C22×C6711yescharacteristic, complemented
1073#428C22×C6711yescharacteristic, complemented
1074#427C22×C6711yescharacteristic, complemented
1075#418C22×C6711yescharacteristic
1076#418C22×C6711yescharacteristic, complemented
1077#418C22×C6711yescharacteristic, complemented
1078#417C22×C6711yescharacteristic, complemented
1079#416C22×C6711yescharacteristic, complemented
1080C2×#102C22×C6711yescharacteristic, complemented
1081#405C22×C6711yescharacteristic, complemented
1082#405C22×C6711yescharacteristic, complemented
1083C4×M16C22×C6711yescharacteristic, complemented
1084C2×#41—21no—
1085C2×#41—21no—
1086C2×#41C23×C6711yescharacteristic
1087C2×#41C23×C6711yescharacteristic
1088C22×D4—21no—
1089C22×D4—21no—
1090C22×D4—21no—
1091C22×D4C23×C6711yescharacteristic
1092C22×D4C23×C6711yescharacteristic
1093C22×D4C23×C6711yescharacteristic
1094C22×D4C23×C6711yescharacteristic
1095C23×C4—21no—
1096AGL(1,ℤ/8)—24no—
1097AGL(1,ℤ/8)—24no—
1098C2×SD16C23×C6711yescharacteristic
1099C2×SD16C23×C6711yescharacteristic
1100C2×SD16C23×C6711yescharacteristic
1101C2×SD16C23×C6711yescharacteristic
1102C2×SD16C23×C6711yescharacteristic
1103C2×SD16C23×C6711yescharacteristic
1104C2×SD16C23×C6711yescharacteristic
1105C2×SD16C23×C6711yescharacteristic
1106C2×D8—24no—
1107C2×D8C23×C6711yescharacteristic
1108C2×D8C23×C6711yescharacteristic
1109C2×D8C23×C6711yescharacteristic
1110C2×D8C23×C6711yescharacteristic
1111C2×D8C23×C6711yescharacteristic
1112C2×D8C23×C6711yescharacteristic
1113C2×D8C23×C6711yescharacteristic
1114C2×D8C23×C6711yescharacteristic
1115C2×M16C23×C6711yescharacteristic
1116C2×M16C23×C6711yescharacteristic
1117C2×M16C23×C6711yescharacteristic
1118C2×M16C23×C6711yescharacteristic
1119C22×C8C23×C6711yescharacteristic
1120C22×C8C23×C6711yescharacteristic
1121C4⋊Q8C23×C6711yescharacteristic
1122C4⋊Q8C23×C6711yescharacteristic
1123C4⋊Q8C23×C6711yescharacteristic
1124#127C23×C6711yescharacteristic
1125#127C23×C6711yescharacteristic
1126#127C23×C6711yescharacteristic
1127#126—21no—
1128#126—21no—
1129#126—21no—
1130#126—21no—
1131#126—21no—
1132#126—21no—
1133#126—21no—
1134#126—21no—
1135#126—21no—
1136#126—21no—
1137#126—21no—
1138#126—21no—
1139#126D4×C6711yescharacteristic
1140#126D4×C6711yescharacteristic
1141#125—21no—
1142#125—21no—
1143#125—21no—
1144#125D4×C6711yescharacteristic
1145#125C23×C6711yescharacteristic
1146#125C23×C6711yescharacteristic
1147#125C23×C6711yescharacteristic
1148#125C23×C6711yescharacteristic
1149#124—21no—
1150#124—21no—
1151#124—21no—
1152#124—21no—
1153#124—21no—
1154#124D4×C6711yescharacteristic
1155#124C23×C6711yescharacteristic
1156#124C23×C6711yescharacteristic
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—21no—
1161#123—21no—
1162#123—21no—
1163#123—21no—
1164#123—21no—
1165#123—21no—
1166#123—21no—
1167#123—21no—
1168#123—21no—
1169#123—21no—
1170#123—21no—
1171#123D4×C6711yescharacteristic
1172#123D4×C6711yescharacteristic
1173C22⋊Q8—21no—
1174C22⋊Q8—21no—
1175C22⋊Q8—21no—
1176C22⋊Q8—21no—
1177C22⋊Q8—21no—
1178C22⋊Q8—21no—
1179C22⋊Q8—21no—
1180C22⋊Q8—21no—
1181C22⋊Q8D4×C6711yescharacteristic
1182C22⋊Q8C23×C6711yescharacteristic
1183C22⋊Q8C23×C6711yescharacteristic
1184C22⋊Q8C23×C6711yescharacteristic
1185C22⋊Q8C23×C6711yescharacteristic
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#121—21no—
1200#121—21no—
1201#121—21no—
1202#121—21no—
1203#121—21no—
1204#121D4×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#120—21no—
1214#120—21no—
1215#120—21no—
1216#120—21no—
1217#120—21no—
1218#120—21no—
1219#120—21no—
1220#120—21no—
1221C4×Q8—21no—
1222C4×Q8C23×C6711yescharacteristic
1223C4×Q8C23×C6711yescharacteristic
1224C4×Q8C23×C6711yescharacteristic
1225C4×Q8C23×C6711yescharacteristic
1226C4×Q8C23×C6711yescharacteristic
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—21no—
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
1255C4×D4C23×C6711yescharacteristic
1256C4×D4C23×C6711yescharacteristic
1257C4×D4C23×C6711yescharacteristic
1258C4×D4C23×C6711yescharacteristic
1259C4×D4C23×C6711yescharacteristic
1260C4×D4C23×C6711yescharacteristic
1261C4×D4C23×C6711yescharacteristic
1262C4×D4C23×C6711yescharacteristic
1263#117—21no—
1264#117—21no—
1265#117—21no—
1266#117—21no—
1267#117—21no—
1268#117—21no—
1269#117C23×C6711yescharacteristic
1270#117C23×C6711yescharacteristic
1271#117C23×C6711yescharacteristic
1272#117C23×C6711yescharacteristic
1273#117C23×C6711yescharacteristic
1274#117C23×C6711yescharacteristic
1275C2×C4⋊C4—21no—
1276C2×C4⋊C4—21no—
1277C2×C4⋊C4—21no—
1278C2×C4⋊C4—21no—
1279C2×C4⋊C4C23×C6711yescharacteristic
1280C2×C4⋊C4C23×C6711yescharacteristic
1281C2×C22⋊C4—21no—
1282C2×C22⋊C4—21no—
1283C2×C22⋊C4—21no—
1284C2×C22⋊C4—21no—
1285C2×C22⋊C4—21no—
1286C2×C22⋊C4—21no—
1287C2×C22⋊C4—21no—
1288C2×C22⋊C4—21no—
1289C2×C22⋊C4—21no—
1290C2×C42—21no—
1291C2×C42C23×C6711yescharacteristic
1292#107C23×C6711yescharacteristic
1293#107C23×C6711yescharacteristic
1294#107C23×C6711yescharacteristic
1295#107C23×C6711yescharacteristic
1296#107C23×C6711yescharacteristic
1297#107C23×C6711yescharacteristic
1298#107C23×C6711yescharacteristic
1299#107C23×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
1308C4⋊C8C23×C6711yescharacteristic
1309C4⋊C8C23×C6711yescharacteristic
1310C4⋊C8C23×C6711yescharacteristic
1311C4⋊C8C23×C6711yescharacteristic
1312C4⋊C8C23×C6711yescharacteristic
1313C4⋊C8C23×C6711yescharacteristic
1314#103C23×C6711yescharacteristic
1315#103C23×C6711yescharacteristic
1316#103C23×C6711yescharacteristic
1317#103C23×C6711yescharacteristic
1318#103C23×C6711yescharacteristic
1319#103C23×C6711yescharacteristic
1320#103C23×C6711yescharacteristic
1321#103C23×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
1345#102C23×C6711yescharacteristic
1346C22⋊C8C23×C6711yescharacteristic
1347C22⋊C8C23×C6711yescharacteristic
1348C22⋊C8C23×C6711yescharacteristic
1349C22⋊C8C23×C6711yescharacteristic
1350C22⋊C8C23×C6711yescharacteristic
1351C22⋊C8C23×C6711yescharacteristic
1352#97C23×C6711yescharacteristic
1353#97C23×C6711yescharacteristic
1354#97C23×C6711yescharacteristic
1355#97C23×C6711yescharacteristic
1356#97C23×C6711yescharacteristic
1357#97C23×C6711yescharacteristic
1358C4×C8C23×C6711yescharacteristic
1359C4×C8C23×C6711yescharacteristic
1360C4×C8C23×C6711yescharacteristic
1361C4×C8C23×C6711yescharacteristic
1362C24—21no—
1363C24—21no—
1364C24—21no—
1365C24—21no—
1366#41—22no—
1367#41—22no—
1368#41—41no—
1369#41—41no—
1370#41—82no—
1371#41—82no—
1372C2×Q8—21no—
1373C2×Q8—21no—
1374C2×Q8C2×D4×C6711yescharacteristic
1375C2×Q8C24×C6711yescharacteristic
1376C2×Q8C24×C6711yescharacteristic
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—22no—
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—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—82no—
1406C2×D4—82no—
1407C2×D4—82no—
1408C2×D4C2×D4×C6711yescharacteristic
1409C2×D4C2×D4×C6711yescharacteristic
1410C2×D4C2×D4×C6711yescharacteristic
1411C2×D4C24×C6711yescharacteristic
1412C2×D4C24×C6711yescharacteristic
1413C2×D4C24×C6711yescharacteristic
1414C2×D4C24×C6711yescharacteristic
1415C2×D4C24×C6711yescharacteristic
1416C2×D4C24×C6711yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
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—82no—
1438C22×C4C2×D4×C6711yescharacteristic
1439C22×C4C2×D4×C6711yescharacteristic
1440C22×C4C24×C6711yescharacteristic
1441C22×C4C24×C6711yescharacteristic
1442C22×C4C24×C6711yescharacteristic
1443SD16—22no—
1444SD16—22no—
1445SD16—22no—
1446SD16—22no—
1447SD16—41no—
1448SD16—41no—
1449SD16—41no—
1450SD16—41no—
1451D8—22no—
1452D8—22no—
1453D8—22no—
1454D8—22no—
1455D8—22no—
1456D8—41no—
1457D8—41no—
1458D8#41×C6714yescomplemented
1459M16—22no—
1460M16—22no—
1461M16—41no—
1462M16—41no—
1463C2×C8—22no—
1464C2×C8—41no—
1465C2×C8C24×C6711yescharacteristic
1466C2×C8C24×C6711yescharacteristic
1467C2×C8C24×C6711yescharacteristic
1468C2×C8C24×C6711yescharacteristic
1469C2×C8C24×C6711yescharacteristic
1470C2×C8C24×C6711yescharacteristic
1471C2×C8C24×C6711yescharacteristic
1472C2×C8C24×C6711yescharacteristic
1473C4⋊C4—21no—
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⋊C4—21no—
1495C4⋊C4C2×D4×C6711yescharacteristic
1496C4⋊C4C2×D4×C6711yescharacteristic
1497C4⋊C4C2×D4×C6711yescharacteristic
1498C4⋊C4C2×D4×C6711yescharacteristic
1499C4⋊C4C2×D4×C6711yescharacteristic
1500C4⋊C4C2×D4×C6711yescharacteristic
1501C4⋊C4C2×D4×C6711yescharacteristic
1502C4⋊C4C2×D4×C6711yescharacteristic
1503C4⋊C4C2×D4×C6711yescharacteristic
1504C4⋊C4C2×D4×C6711yescharacteristic
1505C4⋊C4C24×C6711yescharacteristic
1506C4⋊C4C24×C6711yescharacteristic
1507C4⋊C4C24×C6711yescharacteristic
1508C4⋊C4C24×C6711yescharacteristic
1509C4⋊C4C24×C6711yescharacteristic
1510C4⋊C4C24×C6711yescharacteristic
1511C4⋊C4C24×C6711yescharacteristic
1512C4⋊C4C24×C6711yescharacteristic
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⋊C4—21no—
1548C22⋊C4—21no—
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
1557C22⋊C4C2×D4×C6711yescharacteristic
1558C22⋊C4C2×D4×C6711yescharacteristic
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—21no—
1566C42—21no—
1567C42C2×D4×C6711yescharacteristic
1568C42C2×D4×C6711yescharacteristic
1569C42C24×C6711yescharacteristic
1570C42C24×C6711yescharacteristic
1571C42C24×C6711yescharacteristic
1572C42C24×C6711yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—42no—
1580C23—42no—
1581C23—42no—
1582C23—42no—
1583C23—42no—
1584C23—81no—
1585C23—81no—
1586C23—81no—
1587C23—81no—
1588C23—81no—
1589C23—81no—
1590C23—81no—
1591C23C22×D4×C6711yescharacteristic
1592C23C22×D4×C6711yescharacteristic
1593C23C22×D4×C6711yescharacteristic
1594Q8—21no—
1595Q8—21no—
1596Q8—21no—
1597Q8—21no—
1598Q8—41no—
1599Q8—81no—
1600Q8—81no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—21no—
1609D4—21no—
1610D4—21no—
1611D4—41no—
1612D4—41no—
1613D4—41no—
1614D4—42no—
1615D4—42no—
1616D4—42no—
1617D4—42no—
1618D4—42no—
1619D4—42no—
1620D4—42no—
1621D4—42no—
1622D4—42no—
1623D4—81no—
1624D4—81no—
1625D4—81no—
1626D4—81no—
1627D4—81no—
1628D4—81no—
1629D4—81no—
1630D4—81no—
1631D4—81no—
1632D4—81no—
1633D4—81no—
1634D4C2×#41×C6712yes—
1635D4C2×#41×C6712yes—
1636C2×C4—21no—
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—41no—
1653C2×C4—41no—
1654C2×C4—42no—
1655C2×C4—42no—
1656C2×C4—42no—
1657C2×C4—42no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4—81no—
1662C2×C4—81no—
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×C4C22×D4×C6711yescharacteristic
1675C2×C4C22×D4×C6711yescharacteristic
1676C2×C4C22×D4×C6711yescharacteristic
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×C4C25×C6711yescharacteristic
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—21no—
1693C8C2×#41×C6712yes—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—22no—
1704C22—22no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
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—84no—
1722C22—162no—
1723C22—162no—
1724C22—162no—
1725C22C23×D4×C6711yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—21no—
1732C4—21no—
1733C4—21no—
1734C4—21no—
1735C4—21no—
1736C4—21no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4C22×#41×C6711yescharacteristic
1748C4#585×C6711yescharacteristic
1749C2—41no—
1750C2—41no—
1751C2—41no—
1752C2—42no—
1753C2—42no—
1754C2—81no—
1755C2—81no—
1756C2—81no—
1757C2—81no—
1758C2D4×#41×C6711yescharacteristic
1759C2C67×#358511yescharacteristic
1760C2C67×#358511yescharacteristic
subgroupG/H
center, socleC22×C67C23×D4
commutator, Frattini, cosocleC2×C4C25×C67
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C67 ◁ #529×C67 ◁ G

Complements

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

NH ≅ G/Ntype
1. C67×#3521C2semidirect
2. C67×#3519C2semidirect
3. C67×#3397C2semidirect
4. C67×#3389C2semidirect
5. C67×#3376C2semidirect
6. C67×#3366C2semidirect
7. C67×#3355C2semidirect
8. C67×#3350C2semidirect
9. C67×#3348C2semidirect
10. C67×#3324C2semidirect
11. C67×#3322C2semidirect
12. C67×#3319C2semidirect
13. C67×#3318C2semidirect
14. C67×#3310C2semidirect
15. C67×#3307C2semidirect
16. C67×#3272C2semidirect
17. C67×#3264C2semidirect
18. C67×#3264C2semidirect
19. C67×#3179C2semidirect
20. C67×#3174C2semidirect
21. C67×#3171C2semidirect
22. C67×#3123C2semidirect
23. C67×#3122C2semidirect
24. C67×#3119C2semidirect
25. C67×#3118C2semidirect
26. C67×#3115C2semidirect
27. C67×#3114C2semidirect
28. C67×#2967C2semidirect
29. C67×#2948C2semidirect
30. C67×#2946C2semidirect
31. C4×AGL(1,ℤ/8)×C67C2semidirect
35. #556×C67C22semidirect
36. #556×C67C22semidirect
38. #554×C67C22semidirect
39. #554×C67C22semidirect
43. #553×C67C22semidirect
44. #553×C67C22semidirect
46. #552×C67C22semidirect
49. #550×C67C22semidirect
50. #547×C67C22semidirect
54. #546×C67C22semidirect
55. #546×C67C22semidirect
58. D42×C67C22semidirect
59. #542×C67C22semidirect
60. #541×C67C22semidirect
62. #540×C67C22semidirect
67. #532×C67C22semidirect
70. #529×C67C22semidirect
74. #520×C67C22semidirect
76. #518×C67C22semidirect
77. #518×C67C22semidirect
78. C4×#41×C67C22semidirect
79. C2×C4×D4×C67C22semidirect
80. #501×C67C22semidirect
81. #501×C67C22semidirect
82. #499×C67C22semidirect
83. #496×C67C22semidirect
84. #496×C67C22semidirect
85. #492×C67C22semidirect
86. #491×C67C22semidirect
87. #490×C67C22semidirect
88. #490×C67C22semidirect
89. #489×C67C22semidirect
90. #488×C67C22semidirect
91. #486×C67C22semidirect
92. #485×C67C22semidirect
93. #485×C67C22semidirect
94. #485×C67C22semidirect
95. #483×C67C22semidirect
96. #482×C67C22semidirect
97. #482×C67C22semidirect
98. #482×C67C22semidirect
99. #482×C67C22semidirect
100. #482×C67C22semidirect
101. #481×C67C22semidirect
102. #480×C67C22semidirect
103. #480×C67C22semidirect
104. #479×C67C22semidirect
105. #478×C67C22semidirect
106. #478×C67C22semidirect
107. #478×C67C22semidirect
108. #478×C67C22semidirect
109. #478×C67C22semidirect
110. #478×C67C22semidirect
111. #478×C67C22semidirect
112. #476×C67C22semidirect
113. #475×C67C22semidirect
114. #474×C67C22semidirect
115. #474×C67C22semidirect
116. #469×C67C22semidirect
117. #469×C67C22semidirect
118. #469×C67C22semidirect
119. #468×C67C22semidirect
120. #468×C67C22semidirect
121. #468×C67C22semidirect
122. #468×C67C22semidirect
123. #468×C67C22semidirect
124. #466×C67C22semidirect
125. #465×C67C22semidirect
126. #465×C67C22semidirect
127. #465×C67C22semidirect
130. #463×C67C22semidirect
131. #463×C67C22semidirect
132. #461×C67C22semidirect
133. #461×C67C22semidirect
134. #460×C67C22semidirect
135. #460×C67C22semidirect
136. #459×C67C22semidirect
137. #459×C67C22semidirect
138. #459×C67C22semidirect
139. #459×C67C22semidirect
142. #450×C67C22semidirect
143. #450×C67C22semidirect
144. #449×C67C22semidirect
145. #449×C67C22semidirect
146. #449×C67C22semidirect
147. #449×C67C22semidirect
150. #447×C67C22semidirect
151. #447×C67C22semidirect
152. #446×C67C22semidirect
153. #446×C67C22semidirect
158. #442×C67C22semidirect
159. #442×C67C22semidirect
160. #442×C67C22semidirect
161. #442×C67C22semidirect
162. #442×C67C22semidirect
163. #440×C67C22semidirect
164. #440×C67C22semidirect
165. #440×C67C22semidirect
166. #440×C67C22semidirect
167. #440×C67C22semidirect
168. #440×C67C22semidirect
169. #440×C67C22semidirect
170. C4×SD16×C67C22semidirect
171. C4×SD16×C67C22semidirect
172. C4×SD16×C67C22semidirect
173. C4×SD16×C67C22semidirect
174. C4×SD16×C67C22semidirect
177. C4×D8×C67C22semidirect
178. C4×D8×C67C22semidirect
179. C4×D8×C67C22semidirect
180. C4×D8×C67C22semidirect
181. C4×D8×C67C22semidirect
182. #436×C67C22semidirect
183. #436×C67C22semidirect
184. #435×C67C22semidirect
185. #435×C67C22semidirect
186. #435×C67C22semidirect
187. #435×C67C22semidirect
188. #433×C67C22semidirect
189. #433×C67C22semidirect
190. #432×C67C22semidirect
191. #428×C67C22semidirect
192. #428×C67C22semidirect
193. #427×C67C22semidirect
195. #418×C67C22semidirect
196. #418×C67C22semidirect
197. #417×C67C22semidirect
198. #416×C67C22semidirect
199. C2×#102×C67C22semidirect
200. #405×C67C22semidirect
201. #405×C67C22semidirect
202. C4×M16×C67C22semidirect
577. D8×C67#41semidirect
868. #61506C67direct (N × H)
881. #3521C2×C67semidirect
882. #3519C2×C67semidirect
883. #3397C2×C67semidirect
884. #3389C2×C67semidirect
885. #3376C2×C67semidirect
886. #3366C2×C67semidirect
887. #3355C2×C67semidirect
888. #3350C2×C67semidirect
889. #3348C2×C67semidirect
890. #3324C2×C67semidirect
891. #3322C2×C67semidirect
892. #3319C2×C67semidirect
893. #3318C2×C67semidirect
894. #3310C2×C67semidirect
895. #3307C2×C67semidirect
896. #3272C2×C67semidirect
897. #3264C2×C67semidirect
898. #3264C2×C67semidirect
899. #3179C2×C67semidirect
900. #3174C2×C67semidirect
901. #3171C2×C67semidirect
902. #3123C2×C67semidirect
903. #3122C2×C67semidirect
904. #3119C2×C67semidirect
905. #3118C2×C67semidirect
906. #3115C2×C67semidirect
907. #3114C2×C67semidirect
908. #2967C2×C67semidirect
909. #2948C2×C67semidirect
910. #2946C2×C67semidirect
911. C4×AGL(1,ℤ/8)C2×C67semidirect
912. C67#61506direct (N × H)
916. #556C22×C67semidirect
917. #556C22×C67semidirect
919. #554C22×C67semidirect
920. #554C22×C67semidirect
924. #553C22×C67semidirect
925. #553C22×C67semidirect
927. #552C22×C67semidirect
930. #550C22×C67semidirect
931. #547C22×C67semidirect
935. #546C22×C67semidirect
936. #546C22×C67semidirect
939. D42C22×C67semidirect
940. #542C22×C67semidirect
941. #541C22×C67semidirect
943. #540C22×C67semidirect
948. #532C22×C67semidirect
951. #529C22×C67semidirect
955. #520C22×C67semidirect
957. #518C22×C67semidirect
958. #518C22×C67semidirect
959. C4×#41C22×C67semidirect
960. C2×C4×D4C22×C67semidirect
961. #501C22×C67semidirect
962. #501C22×C67semidirect
963. #499C22×C67semidirect
964. #496C22×C67semidirect
965. #496C22×C67semidirect
966. #492C22×C67semidirect
967. #491C22×C67semidirect
968. #490C22×C67semidirect
969. #490C22×C67semidirect
970. #489C22×C67semidirect
971. #488C22×C67semidirect
972. #486C22×C67semidirect
973. #485C22×C67semidirect
974. #485C22×C67semidirect
975. #485C22×C67semidirect
976. #483C22×C67semidirect
977. #482C22×C67semidirect
978. #482C22×C67semidirect
979. #482C22×C67semidirect
980. #482C22×C67semidirect
981. #482C22×C67semidirect
982. #481C22×C67semidirect
983. #480C22×C67semidirect
984. #480C22×C67semidirect
985. #479C22×C67semidirect
986. #478C22×C67semidirect
987. #478C22×C67semidirect
988. #478C22×C67semidirect
989. #478C22×C67semidirect
990. #478C22×C67semidirect
991. #478C22×C67semidirect
992. #478C22×C67semidirect
993. #476C22×C67semidirect
994. #475C22×C67semidirect
995. #474C22×C67semidirect
996. #474C22×C67semidirect
997. #469C22×C67semidirect
998. #469C22×C67semidirect
999. #469C22×C67semidirect
1000. #468C22×C67semidirect
1001. #468C22×C67semidirect
1002. #468C22×C67semidirect
1003. #468C22×C67semidirect
1004. #468C22×C67semidirect
1005. #466C22×C67semidirect
1006. #465C22×C67semidirect
1007. #465C22×C67semidirect
1008. #465C22×C67semidirect
1011. #463C22×C67semidirect
1012. #463C22×C67semidirect
1013. #461C22×C67semidirect
1014. #461C22×C67semidirect
1015. #460C22×C67semidirect
1016. #460C22×C67semidirect
1017. #459C22×C67semidirect
1018. #459C22×C67semidirect
1019. #459C22×C67semidirect
1020. #459C22×C67semidirect
1023. #450C22×C67semidirect
1024. #450C22×C67semidirect
1025. #449C22×C67semidirect
1026. #449C22×C67semidirect
1027. #449C22×C67semidirect
1028. #449C22×C67semidirect
1031. #447C22×C67semidirect
1032. #447C22×C67semidirect
1033. #446C22×C67semidirect
1034. #446C22×C67semidirect
1039. #442C22×C67semidirect
1040. #442C22×C67semidirect
1041. #442C22×C67semidirect
1042. #442C22×C67semidirect
1043. #442C22×C67semidirect
1044. #440C22×C67semidirect
1045. #440C22×C67semidirect
1046. #440C22×C67semidirect
1047. #440C22×C67semidirect
1048. #440C22×C67semidirect
1049. #440C22×C67semidirect
1050. #440C22×C67semidirect
1051. C4×SD16C22×C67semidirect
1052. C4×SD16C22×C67semidirect
1053. C4×SD16C22×C67semidirect
1054. C4×SD16C22×C67semidirect
1055. C4×SD16C22×C67semidirect
1058. C4×D8C22×C67semidirect
1059. C4×D8C22×C67semidirect
1060. C4×D8C22×C67semidirect
1061. C4×D8C22×C67semidirect
1062. C4×D8C22×C67semidirect
1063. #436C22×C67semidirect
1064. #436C22×C67semidirect
1065. #435C22×C67semidirect
1066. #435C22×C67semidirect
1067. #435C22×C67semidirect
1068. #435C22×C67semidirect
1069. #433C22×C67semidirect
1070. #433C22×C67semidirect
1071. #432C22×C67semidirect
1072. #428C22×C67semidirect
1073. #428C22×C67semidirect
1074. #427C22×C67semidirect
1076. #418C22×C67semidirect
1077. #418C22×C67semidirect
1078. #417C22×C67semidirect
1079. #416C22×C67semidirect
1080. C2×#102C22×C67semidirect
1081. #405C22×C67semidirect
1082. #405C22×C67semidirect
1083. C4×M16C22×C67semidirect
1458. D8#41×C67semidirect

Maximal subgroups

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

subgroupindex
C67×#35212
C67×#35192
C67×#33972
C67×#33892
C67×#33762
C67×#33662
C67×#33552
C67×#33502
C67×#33482
C67×#33242
C67×#33222
C67×#33192
C67×#33182
C67×#33102
C67×#33072
C67×#32722
C67×#32642
C67×#31792
C67×#31742
C67×#31712
C67×#31232
C67×#31222
C67×#31192
C67×#31182
C67×#31152
C67×#31142
C67×#29672
C67×#29482
C67×#29462
C4×AGL(1,ℤ/8)×C672
#6150667