Finite Group Databasebeta

← C67×#61509 #30740760

Subgroups — C67×#61509 #30740760

Order 17152.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3515C211yesmaximal, characteristic, complemented
2C67×#3513C211yesmaximal, characteristic, complemented
3C67×#3400C211yesmaximal, characteristic, complemented
4C67×#3389C211yesmaximal, characteristic, complemented
5C67×#3372C211yesmaximal, characteristic, complemented
6C67×#3370C211yesmaximal, characteristic, complemented
7C67×#3352C211yesmaximal, characteristic, complemented
8C67×#3346C211yesmaximal, characteristic, complemented
9C67×#3343C211yesmaximal, characteristic, complemented
10C67×#3330C211yesmaximal, characteristic, complemented
11C67×#3323C211yesmaximal, characteristic, complemented
12C67×#3315C211yesmaximal, characteristic, complemented
13C67×#3314C211yesmaximal, characteristic, complemented
14C67×#3310C211yesmaximal, characteristic, complemented
15C67×#3307C211yesmaximal, characteristic, complemented
16C67×#3272C211yesmaximal, characteristic, complemented
17C67×#3267C211yesmaximal, characteristic, complemented
18C67×#3267C211yesmaximal, characteristic, complemented
19C67×#3178C211yesmaximal, characteristic, complemented
20C67×#3174C211yesmaximal, characteristic, complemented
21C67×#3172C211yesmaximal, characteristic, complemented
22C67×#3124C211yesmaximal, characteristic, complemented
23C67×#3123C211yesmaximal, characteristic, complemented
24C67×#3120C211yesmaximal, characteristic, complemented
25C67×#3119C211yesmaximal, characteristic, complemented
26C67×#3111C211yesmaximal, characteristic, complemented
27C67×#3110C211yesmaximal, characteristic, complemented
28C67×#2967C211yesmaximal, characteristic, complemented
29C67×#2951C211yesmaximal, 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
34C2×#135×C67C2211yescharacteristic
35#559×C67C2211yescharacteristic
36#557×C67C2211yescharacteristic, complemented
37#554×C67C2211yescharacteristic
38#554×C67C2211yescharacteristic, complemented
39#554×C67C2211yescharacteristic, complemented
40#553×C67—21no—
41#553×C67—21no—
42#553×C67C2211yescharacteristic
43#552×C67—21no—
44#552×C67—21no—
45#552×C67—21no—
46#552×C67C2211yescharacteristic
47#552×C67C2211yescharacteristic
48#552×C67C2211yescharacteristic, complemented
49#551×C67—21no—
50#551×C67—21no—
51#547×C67C2211yescharacteristic
52#547×C67C2211yescharacteristic
53#547×C67C2211yescharacteristic, complemented
54#547×C67C2211yescharacteristic, complemented
55#546×C67—21no—
56#546×C67C2211yescharacteristic
57#546×C67C2211yescharacteristic
58D42×C67C2211yescharacteristic
59#542×C67C2211yescharacteristic
60#541×C67C2211yescharacteristic, complemented
61#541×C67C2211yescharacteristic, complemented
62#540×C67C2211yescharacteristic
63#539×C67—21no—
64#539×C67—21no—
65#539×C67—21no—
66#538×C67—21no—
67#533×C67C2211yescharacteristic, complemented
68#529×C67—21no—
69#529×C67C2211yescharacteristic
70#529×C67C2211yescharacteristic
71C2×#125×C67—21no—
72#525×C67—21no—
73C2×#123×C67—21no—
74#520×C67C2211yescharacteristic
75#520×C67C2211yescharacteristic, complemented
76#520×C67C2211yescharacteristic, complemented
77#518×C67C2211yescharacteristic
78C4×#41×C67C2211yescharacteristic, complemented
79C2×C4×D4×C67C2211yescharacteristic
80#501×C67C2211yescharacteristic, complemented
81#501×C67C2211yescharacteristic, complemented
82#499×C67C2211yescharacteristic, complemented
83#497×C67C2211yescharacteristic, complemented
84#497×C67C2211yescharacteristic, complemented
85#492×C67C2211yescharacteristic
86#491×C67C2211yescharacteristic, complemented
87#491×C67C2211yescharacteristic, complemented
88#490×C67C2211yescharacteristic
89#489×C67C2211yescharacteristic, complemented
90#488×C67C2211yescharacteristic, complemented
91#487×C67C2211yescharacteristic, complemented
92#485×C67C2211yescharacteristic, complemented
93#485×C67C2211yescharacteristic, complemented
94#485×C67C2211yescharacteristic, complemented
95#484×C67C2211yescharacteristic, complemented
96#484×C67C2211yescharacteristic, complemented
97#484×C67C2211yescharacteristic, complemented
98#484×C67C2211yescharacteristic, complemented
99#483×C67C2211yescharacteristic, complemented
100#482×C67C2211yescharacteristic
101#481×C67C2211yescharacteristic, complemented
102#480×C67C2211yescharacteristic
103#480×C67C2211yescharacteristic, complemented
104#479×C67C2211yescharacteristic, complemented
105#479×C67C2211yescharacteristic, complemented
106#479×C67C2211yescharacteristic, complemented
107#478×C67C2211yescharacteristic
108#478×C67C2211yescharacteristic
109#478×C67C2211yescharacteristic, complemented
110#478×C67C2211yescharacteristic, complemented
111#478×C67C2211yescharacteristic, complemented
112#477×C67C2211yescharacteristic, complemented
113#474×C67C2211yescharacteristic
114#474×C67C2211yescharacteristic, complemented
115#474×C67C2211yescharacteristic, complemented
116#470×C67C2211yescharacteristic, complemented
117#470×C67C2211yescharacteristic, complemented
118#470×C67C2211yescharacteristic, complemented
119#468×C67C2211yescharacteristic
120#468×C67C2211yescharacteristic
121#468×C67C2211yescharacteristic
122#468×C67C2211yescharacteristic, complemented
123#468×C67C2211yescharacteristic, complemented
124#467×C67C2211yescharacteristic, complemented
125#465×C67C2211yescharacteristic
126#465×C67C2211yescharacteristic, complemented
127#465×C67C2211yescharacteristic, complemented
128#464×C67C2211yescharacteristic, complemented
129#464×C67C2211yescharacteristic, complemented
130#463×C67C2211yescharacteristic, complemented
131#463×C67C2211yescharacteristic, complemented
132#462×C67C2211yescharacteristic, complemented
133#461×C67C2211yescharacteristic
134#461×C67C2211yescharacteristic
135#461×C67C2211yescharacteristic
136#461×C67C2211yescharacteristic, complemented
137#461×C67C2211yescharacteristic, complemented
138#460×C67C2211yescharacteristic
139#459×C67C2211yescharacteristic
140#452×C67C2211yescharacteristic
141#452×C67C2211yescharacteristic
142#452×C67C2211yescharacteristic, complemented
143#452×C67C2211yescharacteristic, complemented
144#450×C67C2211yescharacteristic
145#450×C67C2211yescharacteristic
146#450×C67C2211yescharacteristic
147#450×C67C2211yescharacteristic
148#449×C67C2211yescharacteristic
149#449×C67C2211yescharacteristic
150#449×C67C2211yescharacteristic, complemented
151#449×C67C2211yescharacteristic, complemented
152#446×C67C2211yescharacteristic, complemented
153#446×C67C2211yescharacteristic, complemented
154#442×C67C2211yescharacteristic
155#442×C67C2211yescharacteristic
156#442×C67C2211yescharacteristic, complemented
157#442×C67C2211yescharacteristic, complemented
158#441×C67C2211yescharacteristic, complemented
159#440×C67C2211yescharacteristic
160#440×C67C2211yescharacteristic
161#440×C67C2211yescharacteristic
162#440×C67C2211yescharacteristic
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×Q16×C67C2211yescharacteristic, complemented
171C4×Q16×C67C2211yescharacteristic, complemented
172C4×Q16×C67C2211yescharacteristic, complemented
173C4×SD16×C67C2211yescharacteristic
174C4×SD16×C67C2211yescharacteristic
175C4×SD16×C67C2211yescharacteristic, complemented
176C4×SD16×C67C2211yescharacteristic, complemented
177C4×SD16×C67C2211yescharacteristic, complemented
178C4×D8×C67C2211yescharacteristic
179C4×D8×C67C2211yescharacteristic
180C4×D8×C67C2211yescharacteristic, complemented
181C4×D8×C67C2211yescharacteristic, complemented
182#436×C67C2211yescharacteristic
183#436×C67C2211yescharacteristic, complemented
184#435×C67C2211yescharacteristic
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
193C2×#107×C67C2211yescharacteristic, complemented
194#418×C67C2211yescharacteristic
195#417×C67C2211yescharacteristic
196#417×C67C2211yescharacteristic, complemented
197#417×C67C2211yescharacteristic, complemented
198#416×C67C2211yescharacteristic, complemented
199C2×#102×C67C2211yescharacteristic
200#405×C67C2211yescharacteristic, complemented
201#405×C67C2211yescharacteristic, complemented
202C4×M16×C67C2211yescharacteristic, complemented
203C2×#41×C67—21no—
204C2×#41×C67C2311yescharacteristic
205C2×#41×C67C2311yescharacteristic
206C2×#41×C67C2311yescharacteristic
207C2×#41×C67C2311yescharacteristic
208C22×D4×C67—21no—
209C22×D4×C67C2311yescharacteristic
210C22×D4×C67C2311yescharacteristic
211C23×C4×C67—21no—
212AGL(1,ℤ/8)×C67—24no—
213AGL(1,ℤ/8)×C67—24no—
214#135×C67—24no—
215C2×Q16×C67C2311yescharacteristic
216C2×Q16×C67C2311yescharacteristic
217C2×Q16×C67C2311yescharacteristic
218C2×SD16×C67C2311yescharacteristic
219C2×SD16×C67C2311yescharacteristic
220C2×SD16×C67C2311yescharacteristic
221C2×SD16×C67C2311yescharacteristic
222C2×SD16×C67C2311yescharacteristic
223C2×SD16×C67C2311yescharacteristic
224C2×SD16×C67C2311yescharacteristic
225C2×SD16×C67C2311yescharacteristic
226C2×SD16×C67C2311yescharacteristic
227C2×SD16×C67C2311yescharacteristic
228C2×D8×C67C2311yescharacteristic
229C2×D8×C67C2311yescharacteristic
230C2×D8×C67C2311yescharacteristic
231C2×M16×C67C2311yescharacteristic
232C2×M16×C67C2311yescharacteristic
233C2×M16×C67C2311yescharacteristic
234C2×M16×C67C2311yescharacteristic
235C22×C8×C67C2311yescharacteristic
236C22×C8×C67C2311yescharacteristic
237C4⋊Q8×C67C2311yescharacteristic
238C4⋊Q8×C67C2311yescharacteristic
239C4⋊Q8×C67C2311yescharacteristic
240C4⋊Q8×C67C2311yescharacteristic
241C4⋊Q8×C67C2311yescharacteristic
242#127×C67C2311yescharacteristic
243#126×C67—21no—
244#126×C67—21no—
245#126×C67—21no—
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×C67D411yescharacteristic
254#126×C67D411yescharacteristic
255#125×C67—21no—
256#125×C67—21no—
257#125×C67—21no—
258#125×C67—21no—
259#125×C67—21no—
260#125×C67—21no—
261#125×C67—21no—
262#125×C67—21no—
263#125×C67—21no—
264#125×C67—21no—
265#125×C67—21no—
266#125×C67—21no—
267#125×C67D411yescharacteristic
268#125×C67C2311yescharacteristic
269#125×C67C2311yescharacteristic
270#125×C67C2311yescharacteristic
271#125×C67C2311yescharacteristic
272#124×C67—21no—
273#124×C67—21no—
274#124×C67D411yescharacteristic
275#124×C67C2311yescharacteristic
276#124×C67C2311yescharacteristic
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×C67—21no—
291#123×C67—21no—
292#123×C67—21no—
293#123×C67—21no—
294#123×C67—21no—
295#123×C67—21no—
296#123×C67—21no—
297#123×C67D411yescharacteristic
298#123×C67D411yescharacteristic
299C22⋊Q8×C67—21no—
300C22⋊Q8×C67—21no—
301C22⋊Q8×C67—21no—
302C22⋊Q8×C67—21no—
303C22⋊Q8×C67—21no—
304C22⋊Q8×C67—21no—
305C22⋊Q8×C67—21no—
306C22⋊Q8×C67—21no—
307C22⋊Q8×C67—21no—
308C22⋊Q8×C67—21no—
309C22⋊Q8×C67—21no—
310C22⋊Q8×C67D411yescharacteristic
311C22⋊Q8×C67C2311yescharacteristic
312C22⋊Q8×C67C2311yescharacteristic
313C22⋊Q8×C67C2311yescharacteristic
314C22⋊Q8×C67C2311yescharacteristic
315C22⋊Q8×C67C2311yescharacteristic
316C22⋊Q8×C67C2311yescharacteristic
317C22⋊Q8×C67C2311yescharacteristic
318C22⋊Q8×C67C2311yescharacteristic
319#121×C67—21no—
320#121×C67—21no—
321#121×C67—21no—
322#121×C67—21no—
323#121×C67—21no—
324#121×C67—21no—
325#121×C67—21no—
326#121×C67—21no—
327#121×C67—21no—
328#121×C67D411yescharacteristic
329#121×C67C2311yescharacteristic
330#121×C67C2311yescharacteristic
331#121×C67C2311yescharacteristic
332#121×C67C2311yescharacteristic
333#120×C67—21no—
334#120×C67—21no—
335#120×C67—21no—
336#120×C67—21no—
337C4×Q8×C67—21no—
338C4×Q8×C67—21no—
339C4×Q8×C67C2311yescharacteristic
340C4×Q8×C67C2311yescharacteristic
341C4×Q8×C67C2311yescharacteristic
342C4×Q8×C67C2311yescharacteristic
343C4×Q8×C67C2311yescharacteristic
344C4×Q8×C67C2311yescharacteristic
345C4×Q8×C67C2311yescharacteristic
346C4×Q8×C67C2311yescharacteristic
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×C67—21no—
362C4×D4×C67—21no—
363C4×D4×C67—21no—
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
379#117×C67—21no—
380#117×C67—21no—
381#117×C67—21no—
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
392C2×C4⋊C4×C67—21no—
393C2×C4⋊C4×C67—21no—
394C2×C4⋊C4×C67—21no—
395C2×C4⋊C4×C67—21no—
396C2×C4⋊C4×C67—21no—
397C2×C4⋊C4×C67—21no—
398C2×C4⋊C4×C67—21no—
399C2×C4⋊C4×C67—21no—
400C2×C4⋊C4×C67C2311yescharacteristic
401C2×C4⋊C4×C67C2311yescharacteristic
402C2×C4⋊C4×C67C2311yescharacteristic
403C2×C4⋊C4×C67C2311yescharacteristic
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#107×C67C2311yescharacteristic
420#107×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#103×C67C2311yescharacteristic
442#103×C67C2311yescharacteristic
443#103×C67C2311yescharacteristic
444#103×C67C2311yescharacteristic
445#103×C67C2311yescharacteristic
446#103×C67C2311yescharacteristic
447#103×C67C2311yescharacteristic
448#103×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—
483#41×C67—22no—
484#41×C67—22no—
485#41×C67—22no—
486#41×C67—22no—
487#41×C67—41no—
488#41×C67—41no—
489#41×C67—41no—
490#41×C67—41no—
491#41×C67—82no—
492C2×Q8×C67—21no—
493C2×Q8×C67—21no—
494C2×Q8×C67C2×D411yescharacteristic
495C2×Q8×C67C2411yescharacteristic
496C2×Q8×C67C2411yescharacteristic
497C2×Q8×C67C2411yescharacteristic
498C2×Q8×C67C2411yescharacteristic
499C2×D4×C67—22no—
500C2×D4×C67—22no—
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—41no—
514C2×D4×C67—41no—
515C2×D4×C67—82no—
516C2×D4×C67C2×D411yescharacteristic
517C2×D4×C67C2×D411yescharacteristic
518C2×D4×C67C2×D411yescharacteristic
519C2×D4×C67C2411yescharacteristic
520C2×D4×C67C2411yescharacteristic
521C2×D4×C67C2411yescharacteristic
522C2×D4×C67C2411yescharacteristic
523C22×C4×C67—21no—
524C22×C4×C67—21no—
525C22×C4×C67—21no—
526C22×C4×C67—21no—
527C22×C4×C67—21no—
528C22×C4×C67—21no—
529C22×C4×C67—21no—
530C22×C4×C67—21no—
531C22×C4×C67—21no—
532C22×C4×C67—21no—
533C22×C4×C67—21no—
534C22×C4×C67—21no—
535C22×C4×C67—21no—
536C22×C4×C67—21no—
537C22×C4×C67—21no—
538C22×C4×C67—21no—
539C22×C4×C67—21no—
540C22×C4×C67—21no—
541C22×C4×C67—21no—
542C22×C4×C67—21no—
543C22×C4×C67—82no—
544C22×C4×C67C2×D411yescharacteristic
545C22×C4×C67C2×D411yescharacteristic
546C22×C4×C67C2411yescharacteristic
547C22×C4×C67C2411yescharacteristic
548C22×C4×C67C2411yescharacteristic
549Q16×C67—22no—
550Q16×C67—41no—
551Q16×C67—41no—
552SD16×C67—22no—
553SD16×C67—22no—
554SD16×C67—22no—
555SD16×C67—22no—
556SD16×C67—22no—
557SD16×C67—22no—
558SD16×C67—41no—
559SD16×C67—41no—
560SD16×C67—41no—
561SD16×C67—41no—
562D8×C67—22no—
563D8×C67—22no—
564D8×C67#4114yescomplemented
565M16×C67—22no—
566M16×C67—22no—
567M16×C67—41no—
568M16×C67—41no—
569C2×C8×C67—22no—
570C2×C8×C67—41no—
571C2×C8×C67C2411yescharacteristic
572C2×C8×C67C2411yescharacteristic
573C2×C8×C67C2411yescharacteristic
574C2×C8×C67C2411yescharacteristic
575C2×C8×C67C2411yescharacteristic
576C2×C8×C67C2411yescharacteristic
577C2×C8×C67C2411yescharacteristic
578C2×C8×C67C2411yescharacteristic
579C4⋊C4×C67—21no—
580C4⋊C4×C67—21no—
581C4⋊C4×C67—21no—
582C4⋊C4×C67—21no—
583C4⋊C4×C67—21no—
584C4⋊C4×C67—21no—
585C4⋊C4×C67—21no—
586C4⋊C4×C67—21no—
587C4⋊C4×C67—21no—
588C4⋊C4×C67—21no—
589C4⋊C4×C67—21no—
590C4⋊C4×C67—21no—
591C4⋊C4×C67—21no—
592C4⋊C4×C67—21no—
593C4⋊C4×C67—21no—
594C4⋊C4×C67—21no—
595C4⋊C4×C67—21no—
596C4⋊C4×C67—21no—
597C4⋊C4×C67—21no—
598C4⋊C4×C67—21no—
599C4⋊C4×C67—21no—
600C4⋊C4×C67—21no—
601C4⋊C4×C67—21no—
602C4⋊C4×C67—21no—
603C4⋊C4×C67—21no—
604C4⋊C4×C67—21no—
605C4⋊C4×C67—21no—
606C4⋊C4×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×C67—21no—
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×C67C2×D411yescharacteristic
625C4⋊C4×C67C2411yescharacteristic
626C4⋊C4×C67C2411yescharacteristic
627C4⋊C4×C67C2411yescharacteristic
628C4⋊C4×C67C2411yescharacteristic
629C4⋊C4×C67C2411yescharacteristic
630C4⋊C4×C67C2411yescharacteristic
631C4⋊C4×C67C2411yescharacteristic
632C4⋊C4×C67C2411yescharacteristic
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×C67C2×D411yescharacteristic
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
673C42×C67—21no—
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×C67C2×D411yescharacteristic
684C42×C67C2×D411yescharacteristic
685C42×C67C2411yescharacteristic
686C42×C67C2411yescharacteristic
687C42×C67C2411yescharacteristic
688C42×C67C2411yescharacteristic
689C23×C67—21no—
690C23×C67—21no—
691C23×C67—21no—
692C23×C67—21no—
693C23×C67—42no—
694C23×C67—42no—
695C23×C67—42no—
696C23×C67—81no—
697C23×C67—81no—
698C23×C67—81no—
699C23×C67C22×D411yescharacteristic
700C23×C67C22×D411yescharacteristic
701C23×C67C22×D411yescharacteristic
702Q8×C67—21no—
703Q8×C67—21no—
704Q8×C67—21no—
705Q8×C67—21no—
706Q8×C67—21no—
707Q8×C67—21no—
708Q8×C67—21no—
709Q8×C67—21no—
710Q8×C67—41no—
711Q8×C67—81no—
712Q8×C67—81no—
713D4×C67—21no—
714D4×C67—21no—
715D4×C67—21no—
716D4×C67—21no—
717D4×C67—21no—
718D4×C67—21no—
719D4×C67—41no—
720D4×C67—41no—
721D4×C67—41no—
722D4×C67—42no—
723D4×C67—42no—
724D4×C67—42no—
725D4×C67—42no—
726D4×C67—42no—
727D4×C67—42no—
728D4×C67—42no—
729D4×C67—81no—
730D4×C67—81no—
731D4×C67—81no—
732D4×C67—81no—
733D4×C67—81no—
734D4×C67C2×#4112yes—
735D4×C67C2×#4112yes—
736C2×C4×C67—21no—
737C2×C4×C67—21no—
738C2×C4×C67—21no—
739C2×C4×C67—21no—
740C2×C4×C67—21no—
741C2×C4×C67—21no—
742C2×C4×C67—21no—
743C2×C4×C67—21no—
744C2×C4×C67—21no—
745C2×C4×C67—21no—
746C2×C4×C67—21no—
747C2×C4×C67—21no—
748C2×C4×C67—21no—
749C2×C4×C67—21no—
750C2×C4×C67—21no—
751C2×C4×C67—21no—
752C2×C4×C67—21no—
753C2×C4×C67—21no—
754C2×C4×C67—41no—
755C2×C4×C67—41no—
756C2×C4×C67—42no—
757C2×C4×C67—42no—
758C2×C4×C67—42no—
759C2×C4×C67—42no—
760C2×C4×C67—42no—
761C2×C4×C67—42no—
762C2×C4×C67—81no—
763C2×C4×C67—81no—
764C2×C4×C67—81no—
765C2×C4×C67—81no—
766C2×C4×C67—81no—
767C2×C4×C67—81no—
768C2×C4×C67—81no—
769C2×C4×C67—81no—
770C2×C4×C67—81no—
771C2×C4×C67—81no—
772C2×C4×C67—81no—
773C2×C4×C67—81no—
774C2×C4×C67—81no—
775C2×C4×C67—81no—
776C2×C4×C67C22×D411yescharacteristic
777C2×C4×C67C22×D411yescharacteristic
778C2×C4×C67C22×D411yescharacteristic
779C2×C4×C67C22×D411yescharacteristic
780C2×C4×C67C22×D411yescharacteristic
781C2×C4×C67C22×D411yescharacteristic
782C2×C4×C67C22×D411yescharacteristic
783C2×C4×C67C22×D411yescharacteristic
784C2×C4×C67C22×D411yescharacteristic
785C2×C4×C67C22×D411yescharacteristic
786C2×C4×C67C22×D411yescharacteristic
787C2×C4×C67C2511yescharacteristic
788C8×C67—21no—
789C8×C67—21no—
790C8×C67—21no—
791C8×C67—21no—
792C8×C67—21no—
793C8×C67—21no—
794C8×C67—21no—
795C8×C67C2×#4112yes—
796C22×C67—21no—
797C22×C67—21no—
798C22×C67—21no—
799C22×C67—21no—
800C22×C67—21no—
801C22×C67—21no—
802C22×C67—21no—
803C22×C67—21no—
804C22×C67—21no—
805C22×C67—22no—
806C22×C67—22no—
807C22×C67—41no—
808C22×C67—41no—
809C22×C67—41no—
810C22×C67—41no—
811C22×C67—41no—
812C22×C67—41no—
813C22×C67—41no—
814C22×C67—41no—
815C22×C67—41no—
816C22×C67—41no—
817C22×C67—84no—
818C22×C67—162no—
819C22×C67C23×D411yescharacteristic
820C4×C67—21no—
821C4×C67—21no—
822C4×C67—21no—
823C4×C67—21no—
824C4×C67—21no—
825C4×C67—21no—
826C4×C67—21no—
827C4×C67—21no—
828C4×C67—21no—
829C4×C67—21no—
830C4×C67—21no—
831C4×C67—41no—
832C4×C67—41no—
833C4×C67—41no—
834C4×C67—41no—
835C4×C67—41no—
836C4×C67—41no—
837C4×C67—41no—
838C4×C67—41no—
839C4×C67—41no—
840C4×C67—41no—
841C4×C67—41no—
842C4×C67—41no—
843C4×C67C22×#4111yescharacteristic
844C4×C67#58511yescharacteristic
845#61509C6711yesmaximal, characteristic, direct product factor, Sylow
846C2×C67—41no—
847C2×C67—41no—
848C2×C67—41no—
849C2×C67—42no—
850C2×C67—42no—
851C2×C67—81no—
852C2×C67—81no—
853C2×C67D4×#4111yescharacteristic
854C2×C67#358511yescharacteristic
855C2×C67#358611yescharacteristic
856#3515C2×C6711yescharacteristic, complemented
857#3513C2×C6711yescharacteristic, complemented
858#3400C2×C6711yescharacteristic, complemented
859#3389C2×C6711yescharacteristic, complemented
860#3372C2×C6711yescharacteristic, complemented
861#3370C2×C6711yescharacteristic, complemented
862#3352C2×C6711yescharacteristic, complemented
863#3346C2×C6711yescharacteristic, complemented
864#3343C2×C6711yescharacteristic, complemented
865#3330C2×C6711yescharacteristic, complemented
866#3323C2×C6711yescharacteristic, complemented
867#3315C2×C6711yescharacteristic, complemented
868#3314C2×C6711yescharacteristic, complemented
869#3310C2×C6711yescharacteristic, complemented
870#3307C2×C6711yescharacteristic, complemented
871#3272C2×C6711yescharacteristic, complemented
872#3267C2×C6711yescharacteristic, complemented
873#3267C2×C6711yescharacteristic, complemented
874#3178C2×C6711yescharacteristic, complemented
875#3174C2×C6711yescharacteristic, complemented
876#3172C2×C6711yescharacteristic, complemented
877#3124C2×C6711yescharacteristic, complemented
878#3123C2×C6711yescharacteristic, complemented
879#3120C2×C6711yescharacteristic, complemented
880#3119C2×C6711yescharacteristic, complemented
881#3111C2×C6711yescharacteristic, complemented
882#3110C2×C6711yescharacteristic, complemented
883#2967C2×C6711yescharacteristic, complemented
884#2951C2×C6711yescharacteristic, complemented
885#2946C2×C6711yescharacteristic, complemented
886C4×AGL(1,ℤ/8)C2×C6711yescharacteristic, complemented
887C67#6150911yescharacteristic, direct product factor, Sylow
888C2×AGL(1,ℤ/8)C22×C6711yescharacteristic
889C2×AGL(1,ℤ/8)C22×C6711yescharacteristic
890C2×#135C22×C6711yescharacteristic
891#559C22×C6711yescharacteristic
892#557C22×C6711yescharacteristic, complemented
893#554C22×C6711yescharacteristic
894#554C22×C6711yescharacteristic, complemented
895#554C22×C6711yescharacteristic, complemented
896#553—21no—
897#553—21no—
898#553C22×C6711yescharacteristic
899#552—21no—
900#552—21no—
901#552—21no—
902#552C22×C6711yescharacteristic
903#552C22×C6711yescharacteristic
904#552C22×C6711yescharacteristic, complemented
905#551—21no—
906#551—21no—
907#547C22×C6711yescharacteristic
908#547C22×C6711yescharacteristic
909#547C22×C6711yescharacteristic, complemented
910#547C22×C6711yescharacteristic, complemented
911#546—21no—
912#546C22×C6711yescharacteristic
913#546C22×C6711yescharacteristic
914D42C22×C6711yescharacteristic
915#542C22×C6711yescharacteristic
916#541C22×C6711yescharacteristic, complemented
917#541C22×C6711yescharacteristic, complemented
918#540C22×C6711yescharacteristic
919#539—21no—
920#539—21no—
921#539—21no—
922#538—21no—
923#533C22×C6711yescharacteristic, complemented
924#529—21no—
925#529C22×C6711yescharacteristic
926#529C22×C6711yescharacteristic
927C2×#125—21no—
928#525—21no—
929C2×#123—21no—
930#520C22×C6711yescharacteristic
931#520C22×C6711yescharacteristic, complemented
932#520C22×C6711yescharacteristic, complemented
933#518C22×C6711yescharacteristic
934C4×#41C22×C6711yescharacteristic, complemented
935C2×C4×D4C22×C6711yescharacteristic
936#501C22×C6711yescharacteristic, complemented
937#501C22×C6711yescharacteristic, complemented
938#499C22×C6711yescharacteristic, complemented
939#497C22×C6711yescharacteristic, complemented
940#497C22×C6711yescharacteristic, complemented
941#492C22×C6711yescharacteristic
942#491C22×C6711yescharacteristic, complemented
943#491C22×C6711yescharacteristic, complemented
944#490C22×C6711yescharacteristic
945#489C22×C6711yescharacteristic, complemented
946#488C22×C6711yescharacteristic, complemented
947#487C22×C6711yescharacteristic, complemented
948#485C22×C6711yescharacteristic, complemented
949#485C22×C6711yescharacteristic, complemented
950#485C22×C6711yescharacteristic, complemented
951#484C22×C6711yescharacteristic, complemented
952#484C22×C6711yescharacteristic, complemented
953#484C22×C6711yescharacteristic, complemented
954#484C22×C6711yescharacteristic, complemented
955#483C22×C6711yescharacteristic, complemented
956#482C22×C6711yescharacteristic
957#481C22×C6711yescharacteristic, complemented
958#480C22×C6711yescharacteristic
959#480C22×C6711yescharacteristic, complemented
960#479C22×C6711yescharacteristic, complemented
961#479C22×C6711yescharacteristic, complemented
962#479C22×C6711yescharacteristic, complemented
963#478C22×C6711yescharacteristic
964#478C22×C6711yescharacteristic
965#478C22×C6711yescharacteristic, complemented
966#478C22×C6711yescharacteristic, complemented
967#478C22×C6711yescharacteristic, complemented
968#477C22×C6711yescharacteristic, complemented
969#474C22×C6711yescharacteristic
970#474C22×C6711yescharacteristic, complemented
971#474C22×C6711yescharacteristic, complemented
972#470C22×C6711yescharacteristic, complemented
973#470C22×C6711yescharacteristic, complemented
974#470C22×C6711yescharacteristic, complemented
975#468C22×C6711yescharacteristic
976#468C22×C6711yescharacteristic
977#468C22×C6711yescharacteristic
978#468C22×C6711yescharacteristic, complemented
979#468C22×C6711yescharacteristic, complemented
980#467C22×C6711yescharacteristic, complemented
981#465C22×C6711yescharacteristic
982#465C22×C6711yescharacteristic, complemented
983#465C22×C6711yescharacteristic, complemented
984#464C22×C6711yescharacteristic, complemented
985#464C22×C6711yescharacteristic, complemented
986#463C22×C6711yescharacteristic, complemented
987#463C22×C6711yescharacteristic, complemented
988#462C22×C6711yescharacteristic, complemented
989#461C22×C6711yescharacteristic
990#461C22×C6711yescharacteristic
991#461C22×C6711yescharacteristic
992#461C22×C6711yescharacteristic, complemented
993#461C22×C6711yescharacteristic, complemented
994#460C22×C6711yescharacteristic
995#459C22×C6711yescharacteristic
996#452C22×C6711yescharacteristic
997#452C22×C6711yescharacteristic
998#452C22×C6711yescharacteristic, complemented
999#452C22×C6711yescharacteristic, complemented
1000#450C22×C6711yescharacteristic
1001#450C22×C6711yescharacteristic
1002#450C22×C6711yescharacteristic
1003#450C22×C6711yescharacteristic
1004#449C22×C6711yescharacteristic
1005#449C22×C6711yescharacteristic
1006#449C22×C6711yescharacteristic, complemented
1007#449C22×C6711yescharacteristic, complemented
1008#446C22×C6711yescharacteristic, complemented
1009#446C22×C6711yescharacteristic, complemented
1010#442C22×C6711yescharacteristic
1011#442C22×C6711yescharacteristic
1012#442C22×C6711yescharacteristic, complemented
1013#442C22×C6711yescharacteristic, complemented
1014#441C22×C6711yescharacteristic, complemented
1015#440C22×C6711yescharacteristic
1016#440C22×C6711yescharacteristic
1017#440C22×C6711yescharacteristic
1018#440C22×C6711yescharacteristic
1019#440C22×C6711yescharacteristic, complemented
1020#440C22×C6711yescharacteristic, complemented
1021#440C22×C6711yescharacteristic, complemented
1022#440C22×C6711yescharacteristic, complemented
1023#440C22×C6711yescharacteristic, complemented
1024#440C22×C6711yescharacteristic, complemented
1025#440C22×C6711yescharacteristic, complemented
1026C4×Q16C22×C6711yescharacteristic, complemented
1027C4×Q16C22×C6711yescharacteristic, complemented
1028C4×Q16C22×C6711yescharacteristic, complemented
1029C4×SD16C22×C6711yescharacteristic
1030C4×SD16C22×C6711yescharacteristic
1031C4×SD16C22×C6711yescharacteristic, complemented
1032C4×SD16C22×C6711yescharacteristic, complemented
1033C4×SD16C22×C6711yescharacteristic, complemented
1034C4×D8C22×C6711yescharacteristic
1035C4×D8C22×C6711yescharacteristic
1036C4×D8C22×C6711yescharacteristic, complemented
1037C4×D8C22×C6711yescharacteristic, complemented
1038#436C22×C6711yescharacteristic
1039#436C22×C6711yescharacteristic, complemented
1040#435C22×C6711yescharacteristic
1041#435C22×C6711yescharacteristic, complemented
1042#435C22×C6711yescharacteristic, complemented
1043#435C22×C6711yescharacteristic, complemented
1044#433C22×C6711yescharacteristic, complemented
1045#433C22×C6711yescharacteristic, complemented
1046#432C22×C6711yescharacteristic, complemented
1047#428C22×C6711yescharacteristic, complemented
1048#428C22×C6711yescharacteristic, complemented
1049C2×#107C22×C6711yescharacteristic, complemented
1050#418C22×C6711yescharacteristic
1051#417C22×C6711yescharacteristic
1052#417C22×C6711yescharacteristic, complemented
1053#417C22×C6711yescharacteristic, complemented
1054#416C22×C6711yescharacteristic, complemented
1055C2×#102C22×C6711yescharacteristic
1056#405C22×C6711yescharacteristic, complemented
1057#405C22×C6711yescharacteristic, complemented
1058C4×M16C22×C6711yescharacteristic, complemented
1059C2×#41—21no—
1060C2×#41C23×C6711yescharacteristic
1061C2×#41C23×C6711yescharacteristic
1062C2×#41C23×C6711yescharacteristic
1063C2×#41C23×C6711yescharacteristic
1064C22×D4—21no—
1065C22×D4C23×C6711yescharacteristic
1066C22×D4C23×C6711yescharacteristic
1067C23×C4—21no—
1068AGL(1,ℤ/8)—24no—
1069AGL(1,ℤ/8)—24no—
1070#135—24no—
1071C2×Q16C23×C6711yescharacteristic
1072C2×Q16C23×C6711yescharacteristic
1073C2×Q16C23×C6711yescharacteristic
1074C2×SD16C23×C6711yescharacteristic
1075C2×SD16C23×C6711yescharacteristic
1076C2×SD16C23×C6711yescharacteristic
1077C2×SD16C23×C6711yescharacteristic
1078C2×SD16C23×C6711yescharacteristic
1079C2×SD16C23×C6711yescharacteristic
1080C2×SD16C23×C6711yescharacteristic
1081C2×SD16C23×C6711yescharacteristic
1082C2×SD16C23×C6711yescharacteristic
1083C2×SD16C23×C6711yescharacteristic
1084C2×D8C23×C6711yescharacteristic
1085C2×D8C23×C6711yescharacteristic
1086C2×D8C23×C6711yescharacteristic
1087C2×M16C23×C6711yescharacteristic
1088C2×M16C23×C6711yescharacteristic
1089C2×M16C23×C6711yescharacteristic
1090C2×M16C23×C6711yescharacteristic
1091C22×C8C23×C6711yescharacteristic
1092C22×C8C23×C6711yescharacteristic
1093C4⋊Q8C23×C6711yescharacteristic
1094C4⋊Q8C23×C6711yescharacteristic
1095C4⋊Q8C23×C6711yescharacteristic
1096C4⋊Q8C23×C6711yescharacteristic
1097C4⋊Q8C23×C6711yescharacteristic
1098#127C23×C6711yescharacteristic
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#126—21no—
1103#126—21no—
1104#126—21no—
1105#126—21no—
1106#126—21no—
1107#126—21no—
1108#126—21no—
1109#126D4×C6711yescharacteristic
1110#126D4×C6711yescharacteristic
1111#125—21no—
1112#125—21no—
1113#125—21no—
1114#125—21no—
1115#125—21no—
1116#125—21no—
1117#125—21no—
1118#125—21no—
1119#125—21no—
1120#125—21no—
1121#125—21no—
1122#125—21no—
1123#125D4×C6711yescharacteristic
1124#125C23×C6711yescharacteristic
1125#125C23×C6711yescharacteristic
1126#125C23×C6711yescharacteristic
1127#125C23×C6711yescharacteristic
1128#124—21no—
1129#124—21no—
1130#124D4×C6711yescharacteristic
1131#124C23×C6711yescharacteristic
1132#124C23×C6711yescharacteristic
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—21no—
1151#123—21no—
1152#123—21no—
1153#123D4×C6711yescharacteristic
1154#123D4×C6711yescharacteristic
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8—21no—
1164C22⋊Q8—21no—
1165C22⋊Q8—21no—
1166C22⋊Q8D4×C6711yescharacteristic
1167C22⋊Q8C23×C6711yescharacteristic
1168C22⋊Q8C23×C6711yescharacteristic
1169C22⋊Q8C23×C6711yescharacteristic
1170C22⋊Q8C23×C6711yescharacteristic
1171C22⋊Q8C23×C6711yescharacteristic
1172C22⋊Q8C23×C6711yescharacteristic
1173C22⋊Q8C23×C6711yescharacteristic
1174C22⋊Q8C23×C6711yescharacteristic
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121—21no—
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121D4×C6711yescharacteristic
1185#121C23×C6711yescharacteristic
1186#121C23×C6711yescharacteristic
1187#121C23×C6711yescharacteristic
1188#121C23×C6711yescharacteristic
1189#120—21no—
1190#120—21no—
1191#120—21no—
1192#120—21no—
1193C4×Q8—21no—
1194C4×Q8—21no—
1195C4×Q8C23×C6711yescharacteristic
1196C4×Q8C23×C6711yescharacteristic
1197C4×Q8C23×C6711yescharacteristic
1198C4×Q8C23×C6711yescharacteristic
1199C4×Q8C23×C6711yescharacteristic
1200C4×Q8C23×C6711yescharacteristic
1201C4×Q8C23×C6711yescharacteristic
1202C4×Q8C23×C6711yescharacteristic
1203C4×Q8C23×C6711yescharacteristic
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4C23×C6711yescharacteristic
1221C4×D4C23×C6711yescharacteristic
1222C4×D4C23×C6711yescharacteristic
1223C4×D4C23×C6711yescharacteristic
1224C4×D4C23×C6711yescharacteristic
1225C4×D4C23×C6711yescharacteristic
1226C4×D4C23×C6711yescharacteristic
1227C4×D4C23×C6711yescharacteristic
1228C4×D4C23×C6711yescharacteristic
1229C4×D4C23×C6711yescharacteristic
1230C4×D4C23×C6711yescharacteristic
1231C4×D4C23×C6711yescharacteristic
1232C4×D4C23×C6711yescharacteristic
1233C4×D4C23×C6711yescharacteristic
1234C4×D4C23×C6711yescharacteristic
1235#117—21no—
1236#117—21no—
1237#117—21no—
1238#117—21no—
1239#117—21no—
1240#117—21no—
1241#117—21no—
1242#117—21no—
1243#117—21no—
1244#117C23×C6711yescharacteristic
1245#117C23×C6711yescharacteristic
1246#117C23×C6711yescharacteristic
1247#117C23×C6711yescharacteristic
1248C2×C4⋊C4—21no—
1249C2×C4⋊C4—21no—
1250C2×C4⋊C4—21no—
1251C2×C4⋊C4—21no—
1252C2×C4⋊C4—21no—
1253C2×C4⋊C4—21no—
1254C2×C4⋊C4—21no—
1255C2×C4⋊C4—21no—
1256C2×C4⋊C4C23×C6711yescharacteristic
1257C2×C4⋊C4C23×C6711yescharacteristic
1258C2×C4⋊C4C23×C6711yescharacteristic
1259C2×C4⋊C4C23×C6711yescharacteristic
1260C2×C22⋊C4—21no—
1261C2×C22⋊C4—21no—
1262C2×C22⋊C4—21no—
1263C2×C22⋊C4—21no—
1264C2×C22⋊C4—21no—
1265C2×C42—21no—
1266C2×C42C23×C6711yescharacteristic
1267#107C23×C6711yescharacteristic
1268#107C23×C6711yescharacteristic
1269#107C23×C6711yescharacteristic
1270#107C23×C6711yescharacteristic
1271#107C23×C6711yescharacteristic
1272#107C23×C6711yescharacteristic
1273#107C23×C6711yescharacteristic
1274#107C23×C6711yescharacteristic
1275#107C23×C6711yescharacteristic
1276#107C23×C6711yescharacteristic
1277#106C23×C6711yescharacteristic
1278#106C23×C6711yescharacteristic
1279#106C23×C6711yescharacteristic
1280#106C23×C6711yescharacteristic
1281#106C23×C6711yescharacteristic
1282#106C23×C6711yescharacteristic
1283C4⋊C8C23×C6711yescharacteristic
1284C4⋊C8C23×C6711yescharacteristic
1285C4⋊C8C23×C6711yescharacteristic
1286C4⋊C8C23×C6711yescharacteristic
1287C4⋊C8C23×C6711yescharacteristic
1288C4⋊C8C23×C6711yescharacteristic
1289#103C23×C6711yescharacteristic
1290#103C23×C6711yescharacteristic
1291#103C23×C6711yescharacteristic
1292#103C23×C6711yescharacteristic
1293#103C23×C6711yescharacteristic
1294#103C23×C6711yescharacteristic
1295#103C23×C6711yescharacteristic
1296#103C23×C6711yescharacteristic
1297#103C23×C6711yescharacteristic
1298#103C23×C6711yescharacteristic
1299#103C23×C6711yescharacteristic
1300#103C23×C6711yescharacteristic
1301#103C23×C6711yescharacteristic
1302#103C23×C6711yescharacteristic
1303#103C23×C6711yescharacteristic
1304#103C23×C6711yescharacteristic
1305#102C23×C6711yescharacteristic
1306#102C23×C6711yescharacteristic
1307#102C23×C6711yescharacteristic
1308#102C23×C6711yescharacteristic
1309#102C23×C6711yescharacteristic
1310#102C23×C6711yescharacteristic
1311#102C23×C6711yescharacteristic
1312#102C23×C6711yescharacteristic
1313#102C23×C6711yescharacteristic
1314#102C23×C6711yescharacteristic
1315#102C23×C6711yescharacteristic
1316#102C23×C6711yescharacteristic
1317#102C23×C6711yescharacteristic
1318#102C23×C6711yescharacteristic
1319#102C23×C6711yescharacteristic
1320#102C23×C6711yescharacteristic
1321C22⋊C8C23×C6711yescharacteristic
1322C22⋊C8C23×C6711yescharacteristic
1323C22⋊C8C23×C6711yescharacteristic
1324C22⋊C8C23×C6711yescharacteristic
1325C22⋊C8C23×C6711yescharacteristic
1326C22⋊C8C23×C6711yescharacteristic
1327#97C23×C6711yescharacteristic
1328#97C23×C6711yescharacteristic
1329#97C23×C6711yescharacteristic
1330#97C23×C6711yescharacteristic
1331#97C23×C6711yescharacteristic
1332#97C23×C6711yescharacteristic
1333C4×C8C23×C6711yescharacteristic
1334C4×C8C23×C6711yescharacteristic
1335C4×C8C23×C6711yescharacteristic
1336C4×C8C23×C6711yescharacteristic
1337C24—21no—
1338C24—21no—
1339#41—22no—
1340#41—22no—
1341#41—22no—
1342#41—22no—
1343#41—41no—
1344#41—41no—
1345#41—41no—
1346#41—41no—
1347#41—82no—
1348C2×Q8—21no—
1349C2×Q8—21no—
1350C2×Q8C2×D4×C6711yescharacteristic
1351C2×Q8C24×C6711yescharacteristic
1352C2×Q8C24×C6711yescharacteristic
1353C2×Q8C24×C6711yescharacteristic
1354C2×Q8C24×C6711yescharacteristic
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—41no—
1370C2×D4—41no—
1371C2×D4—82no—
1372C2×D4C2×D4×C6711yescharacteristic
1373C2×D4C2×D4×C6711yescharacteristic
1374C2×D4C2×D4×C6711yescharacteristic
1375C2×D4C24×C6711yescharacteristic
1376C2×D4C24×C6711yescharacteristic
1377C2×D4C24×C6711yescharacteristic
1378C2×D4C24×C6711yescharacteristic
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—82no—
1400C22×C4C2×D4×C6711yescharacteristic
1401C22×C4C2×D4×C6711yescharacteristic
1402C22×C4C24×C6711yescharacteristic
1403C22×C4C24×C6711yescharacteristic
1404C22×C4C24×C6711yescharacteristic
1405Q16—22no—
1406Q16—41no—
1407Q16—41no—
1408SD16—22no—
1409SD16—22no—
1410SD16—22no—
1411SD16—22no—
1412SD16—22no—
1413SD16—22no—
1414SD16—41no—
1415SD16—41no—
1416SD16—41no—
1417SD16—41no—
1418D8—22no—
1419D8—22no—
1420D8#41×C6714yescomplemented
1421M16—22no—
1422M16—22no—
1423M16—41no—
1424M16—41no—
1425C2×C8—22no—
1426C2×C8—41no—
1427C2×C8C24×C6711yescharacteristic
1428C2×C8C24×C6711yescharacteristic
1429C2×C8C24×C6711yescharacteristic
1430C2×C8C24×C6711yescharacteristic
1431C2×C8C24×C6711yescharacteristic
1432C2×C8C24×C6711yescharacteristic
1433C2×C8C24×C6711yescharacteristic
1434C2×C8C24×C6711yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4C2×D4×C6711yescharacteristic
1472C4⋊C4C2×D4×C6711yescharacteristic
1473C4⋊C4C2×D4×C6711yescharacteristic
1474C4⋊C4C2×D4×C6711yescharacteristic
1475C4⋊C4C2×D4×C6711yescharacteristic
1476C4⋊C4C2×D4×C6711yescharacteristic
1477C4⋊C4C2×D4×C6711yescharacteristic
1478C4⋊C4C2×D4×C6711yescharacteristic
1479C4⋊C4C2×D4×C6711yescharacteristic
1480C4⋊C4C2×D4×C6711yescharacteristic
1481C4⋊C4C24×C6711yescharacteristic
1482C4⋊C4C24×C6711yescharacteristic
1483C4⋊C4C24×C6711yescharacteristic
1484C4⋊C4C24×C6711yescharacteristic
1485C4⋊C4C24×C6711yescharacteristic
1486C4⋊C4C24×C6711yescharacteristic
1487C4⋊C4C24×C6711yescharacteristic
1488C4⋊C4C24×C6711yescharacteristic
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4C2×D4×C6711yescharacteristic
1520C22⋊C4C2×D4×C6711yescharacteristic
1521C22⋊C4C2×D4×C6711yescharacteristic
1522C22⋊C4C2×D4×C6711yescharacteristic
1523C22⋊C4C2×D4×C6711yescharacteristic
1524C22⋊C4C2×D4×C6711yescharacteristic
1525C22⋊C4C2×D4×C6711yescharacteristic
1526C22⋊C4C2×D4×C6711yescharacteristic
1527C22⋊C4C2×D4×C6711yescharacteristic
1528C22⋊C4C2×D4×C6711yescharacteristic
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—21no—
1534C42—21no—
1535C42—21no—
1536C42—21no—
1537C42—21no—
1538C42—21no—
1539C42C2×D4×C6711yescharacteristic
1540C42C2×D4×C6711yescharacteristic
1541C42C24×C6711yescharacteristic
1542C42C24×C6711yescharacteristic
1543C42C24×C6711yescharacteristic
1544C42C24×C6711yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—42no—
1550C23—42no—
1551C23—42no—
1552C23—81no—
1553C23—81no—
1554C23—81no—
1555C23C22×D4×C6711yescharacteristic
1556C23C22×D4×C6711yescharacteristic
1557C23C22×D4×C6711yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—21no—
1565Q8—21no—
1566Q8—41no—
1567Q8—81no—
1568Q8—81no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—41no—
1576D4—41no—
1577D4—41no—
1578D4—42no—
1579D4—42no—
1580D4—42no—
1581D4—42no—
1582D4—42no—
1583D4—42no—
1584D4—42no—
1585D4—81no—
1586D4—81no—
1587D4—81no—
1588D4—81no—
1589D4—81no—
1590D4C2×#41×C6712yes—
1591D4C2×#41×C6712yes—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—42no—
1613C2×C4—42no—
1614C2×C4—42no—
1615C2×C4—42no—
1616C2×C4—42no—
1617C2×C4—42no—
1618C2×C4—81no—
1619C2×C4—81no—
1620C2×C4—81no—
1621C2×C4—81no—
1622C2×C4—81no—
1623C2×C4—81no—
1624C2×C4—81no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4C22×D4×C6711yescharacteristic
1633C2×C4C22×D4×C6711yescharacteristic
1634C2×C4C22×D4×C6711yescharacteristic
1635C2×C4C22×D4×C6711yescharacteristic
1636C2×C4C22×D4×C6711yescharacteristic
1637C2×C4C22×D4×C6711yescharacteristic
1638C2×C4C22×D4×C6711yescharacteristic
1639C2×C4C22×D4×C6711yescharacteristic
1640C2×C4C22×D4×C6711yescharacteristic
1641C2×C4C22×D4×C6711yescharacteristic
1642C2×C4C22×D4×C6711yescharacteristic
1643C2×C4C25×C6711yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—21no—
1649C8—21no—
1650C8—21no—
1651C8C2×#41×C6712yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—22no—
1662C22—22no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—84no—
1674C22—162no—
1675C22C23×D4×C6711yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4C22×#41×C6711yescharacteristic
1700C4#585×C6711yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—41no—
1704C2—42no—
1705C2—42no—
1706C2—81no—
1707C2—81no—
1708C2D4×#41×C6711yescharacteristic
1709C2C67×#358511yescharacteristic
1710C2C67×#358611yescharacteristic
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×#3515C2semidirect
2. C67×#3513C2semidirect
3. C67×#3400C2semidirect
4. C67×#3389C2semidirect
5. C67×#3372C2semidirect
6. C67×#3370C2semidirect
7. C67×#3352C2semidirect
8. C67×#3346C2semidirect
9. C67×#3343C2semidirect
10. C67×#3330C2semidirect
11. C67×#3323C2semidirect
12. C67×#3315C2semidirect
13. C67×#3314C2semidirect
14. C67×#3310C2semidirect
15. C67×#3307C2semidirect
16. C67×#3272C2semidirect
17. C67×#3267C2semidirect
18. C67×#3267C2semidirect
19. C67×#3178C2semidirect
20. C67×#3174C2semidirect
21. C67×#3172C2semidirect
22. C67×#3124C2semidirect
23. C67×#3123C2semidirect
24. C67×#3120C2semidirect
25. C67×#3119C2semidirect
26. C67×#3111C2semidirect
27. C67×#3110C2semidirect
28. C67×#2967C2semidirect
29. C67×#2951C2semidirect
30. C67×#2946C2semidirect
31. C4×AGL(1,ℤ/8)×C67C2semidirect
36. #557×C67C22semidirect
38. #554×C67C22semidirect
39. #554×C67C22semidirect
48. #552×C67C22semidirect
53. #547×C67C22semidirect
54. #547×C67C22semidirect
60. #541×C67C22semidirect
61. #541×C67C22semidirect
67. #533×C67C22semidirect
75. #520×C67C22semidirect
76. #520×C67C22semidirect
78. C4×#41×C67C22semidirect
80. #501×C67C22semidirect
81. #501×C67C22semidirect
82. #499×C67C22semidirect
83. #497×C67C22semidirect
84. #497×C67C22semidirect
86. #491×C67C22semidirect
87. #491×C67C22semidirect
89. #489×C67C22semidirect
90. #488×C67C22semidirect
91. #487×C67C22semidirect
92. #485×C67C22semidirect
93. #485×C67C22semidirect
94. #485×C67C22semidirect
95. #484×C67C22semidirect
96. #484×C67C22semidirect
97. #484×C67C22semidirect
98. #484×C67C22semidirect
99. #483×C67C22semidirect
101. #481×C67C22semidirect
103. #480×C67C22semidirect
104. #479×C67C22semidirect
105. #479×C67C22semidirect
106. #479×C67C22semidirect
109. #478×C67C22semidirect
110. #478×C67C22semidirect
111. #478×C67C22semidirect
112. #477×C67C22semidirect
114. #474×C67C22semidirect
115. #474×C67C22semidirect
116. #470×C67C22semidirect
117. #470×C67C22semidirect
118. #470×C67C22semidirect
122. #468×C67C22semidirect
123. #468×C67C22semidirect
124. #467×C67C22semidirect
126. #465×C67C22semidirect
127. #465×C67C22semidirect
128. #464×C67C22semidirect
129. #464×C67C22semidirect
130. #463×C67C22semidirect
131. #463×C67C22semidirect
132. #462×C67C22semidirect
136. #461×C67C22semidirect
137. #461×C67C22semidirect
142. #452×C67C22semidirect
143. #452×C67C22semidirect
150. #449×C67C22semidirect
151. #449×C67C22semidirect
152. #446×C67C22semidirect
153. #446×C67C22semidirect
156. #442×C67C22semidirect
157. #442×C67C22semidirect
158. #441×C67C22semidirect
163. #440×C67C22semidirect
164. #440×C67C22semidirect
165. #440×C67C22semidirect
166. #440×C67C22semidirect
167. #440×C67C22semidirect
168. #440×C67C22semidirect
169. #440×C67C22semidirect
170. C4×Q16×C67C22semidirect
171. C4×Q16×C67C22semidirect
172. C4×Q16×C67C22semidirect
175. C4×SD16×C67C22semidirect
176. C4×SD16×C67C22semidirect
177. C4×SD16×C67C22semidirect
180. C4×D8×C67C22semidirect
181. C4×D8×C67C22semidirect
183. #436×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. C2×#107×C67C22semidirect
196. #417×C67C22semidirect
197. #417×C67C22semidirect
198. #416×C67C22semidirect
200. #405×C67C22semidirect
201. #405×C67C22semidirect
202. C4×M16×C67C22semidirect
564. D8×C67#41semidirect
845. #61509C67direct (N × H)
856. #3515C2×C67semidirect
857. #3513C2×C67semidirect
858. #3400C2×C67semidirect
859. #3389C2×C67semidirect
860. #3372C2×C67semidirect
861. #3370C2×C67semidirect
862. #3352C2×C67semidirect
863. #3346C2×C67semidirect
864. #3343C2×C67semidirect
865. #3330C2×C67semidirect
866. #3323C2×C67semidirect
867. #3315C2×C67semidirect
868. #3314C2×C67semidirect
869. #3310C2×C67semidirect
870. #3307C2×C67semidirect
871. #3272C2×C67semidirect
872. #3267C2×C67semidirect
873. #3267C2×C67semidirect
874. #3178C2×C67semidirect
875. #3174C2×C67semidirect
876. #3172C2×C67semidirect
877. #3124C2×C67semidirect
878. #3123C2×C67semidirect
879. #3120C2×C67semidirect
880. #3119C2×C67semidirect
881. #3111C2×C67semidirect
882. #3110C2×C67semidirect
883. #2967C2×C67semidirect
884. #2951C2×C67semidirect
885. #2946C2×C67semidirect
886. C4×AGL(1,ℤ/8)C2×C67semidirect
887. C67#61509direct (N × H)
892. #557C22×C67semidirect
894. #554C22×C67semidirect
895. #554C22×C67semidirect
904. #552C22×C67semidirect
909. #547C22×C67semidirect
910. #547C22×C67semidirect
916. #541C22×C67semidirect
917. #541C22×C67semidirect
923. #533C22×C67semidirect
931. #520C22×C67semidirect
932. #520C22×C67semidirect
934. C4×#41C22×C67semidirect
936. #501C22×C67semidirect
937. #501C22×C67semidirect
938. #499C22×C67semidirect
939. #497C22×C67semidirect
940. #497C22×C67semidirect
942. #491C22×C67semidirect
943. #491C22×C67semidirect
945. #489C22×C67semidirect
946. #488C22×C67semidirect
947. #487C22×C67semidirect
948. #485C22×C67semidirect
949. #485C22×C67semidirect
950. #485C22×C67semidirect
951. #484C22×C67semidirect
952. #484C22×C67semidirect
953. #484C22×C67semidirect
954. #484C22×C67semidirect
955. #483C22×C67semidirect
957. #481C22×C67semidirect
959. #480C22×C67semidirect
960. #479C22×C67semidirect
961. #479C22×C67semidirect
962. #479C22×C67semidirect
965. #478C22×C67semidirect
966. #478C22×C67semidirect
967. #478C22×C67semidirect
968. #477C22×C67semidirect
970. #474C22×C67semidirect
971. #474C22×C67semidirect
972. #470C22×C67semidirect
973. #470C22×C67semidirect
974. #470C22×C67semidirect
978. #468C22×C67semidirect
979. #468C22×C67semidirect
980. #467C22×C67semidirect
982. #465C22×C67semidirect
983. #465C22×C67semidirect
984. #464C22×C67semidirect
985. #464C22×C67semidirect
986. #463C22×C67semidirect
987. #463C22×C67semidirect
988. #462C22×C67semidirect
992. #461C22×C67semidirect
993. #461C22×C67semidirect
998. #452C22×C67semidirect
999. #452C22×C67semidirect
1006. #449C22×C67semidirect
1007. #449C22×C67semidirect
1008. #446C22×C67semidirect
1009. #446C22×C67semidirect
1012. #442C22×C67semidirect
1013. #442C22×C67semidirect
1014. #441C22×C67semidirect
1019. #440C22×C67semidirect
1020. #440C22×C67semidirect
1021. #440C22×C67semidirect
1022. #440C22×C67semidirect
1023. #440C22×C67semidirect
1024. #440C22×C67semidirect
1025. #440C22×C67semidirect
1026. C4×Q16C22×C67semidirect
1027. C4×Q16C22×C67semidirect
1028. C4×Q16C22×C67semidirect
1031. C4×SD16C22×C67semidirect
1032. C4×SD16C22×C67semidirect
1033. C4×SD16C22×C67semidirect
1036. C4×D8C22×C67semidirect
1037. C4×D8C22×C67semidirect
1039. #436C22×C67semidirect
1041. #435C22×C67semidirect
1042. #435C22×C67semidirect
1043. #435C22×C67semidirect
1044. #433C22×C67semidirect
1045. #433C22×C67semidirect
1046. #432C22×C67semidirect
1047. #428C22×C67semidirect
1048. #428C22×C67semidirect
1049. C2×#107C22×C67semidirect
1052. #417C22×C67semidirect
1053. #417C22×C67semidirect
1054. #416C22×C67semidirect
1056. #405C22×C67semidirect
1057. #405C22×C67semidirect
1058. C4×M16C22×C67semidirect
1420. D8#41×C67semidirect

Maximal subgroups

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

subgroupindex
C67×#35152
C67×#35132
C67×#34002
C67×#33892
C67×#33722
C67×#33702
C67×#33522
C67×#33462
C67×#33432
C67×#33302
C67×#33232
C67×#33152
C67×#33142
C67×#33102
C67×#33072
C67×#32722
C67×#32672
C67×#31782
C67×#31742
C67×#31722
C67×#31242
C67×#31232
C67×#31202
C67×#31192
C67×#31112
C67×#31102
C67×#29672
C67×#29512
C67×#29462
C4×AGL(1,ℤ/8)×C672
#6150967