Finite Group Databasebeta

← C67×#61714 #30740965

Subgroups — C67×#61714 #30740965

Order 17152.

1822 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3519C211yesmaximal, characteristic, complemented
2C67×#3475C211yesmaximal, characteristic, complemented
3C67×#3350C211yesmaximal, characteristic, complemented
4C67×#3348C211yesmaximal, characteristic, complemented
5C67×#3347C211yesmaximal, characteristic, complemented
6C67×#3347C211yesmaximal, characteristic, complemented
7C67×#3346C211yesmaximal, characteristic, complemented
8C67×#3346C211yesmaximal, characteristic, complemented
9C67×#3345C211yesmaximal, characteristic, complemented
10C67×#3344C211yesmaximal, characteristic, complemented
11C67×#3319C211yesmaximal, characteristic, complemented
12C67×#3318C211yesmaximal, characteristic, complemented
13C67×#3317C211yesmaximal, characteristic, complemented
14C67×#3314C211yesmaximal, characteristic, complemented
15C67×#3311C211yesmaximal, characteristic, complemented
16C67×#3310C211yesmaximal, characteristic, complemented
17C67×#3309C211yesmaximal, characteristic, complemented
18C67×#3306C211yesmaximal, characteristic, complemented
19C67×#3240C211yesmaximal, characteristic, complemented
20C67×#3235C211yesmaximal, characteristic, complemented
21C67×#3197C211yesmaximal, characteristic, complemented
22C67×#3194C211yesmaximal, characteristic, complemented
23C67×#3191C211yesmaximal, characteristic, complemented
24C67×#3188C211yesmaximal, characteristic, complemented
25C67×#3115C211yesmaximal, characteristic, complemented
26C67×#3111C211yesmaximal, characteristic, complemented
27C67×#3094C211yesmaximal, characteristic, complemented
28C67×#3093C211yesmaximal, characteristic, complemented
29C67×#3091C211yesmaximal, characteristic, complemented
30C2×#482×C67C211yesmaximal, characteristic, complemented
31C67×#2973C211yesmaximal, characteristic, complemented
32#556×C67C2211yescharacteristic, complemented
33#555×C67C2211yescharacteristic
34#555×C67C2211yescharacteristic, complemented
35#554×C67C2211yescharacteristic
36#554×C67C2211yescharacteristic, complemented
37#553×C67—21no—
38#553×C67C2211yescharacteristic
39#553×C67C2211yescharacteristic
40#553×C67C2211yescharacteristic
41#553×C67C2211yescharacteristic, complemented
42#552×C67—21no—
43#552×C67C2211yescharacteristic
44#552×C67C2211yescharacteristic, complemented
45#551×C67—21no—
46#551×C67—21no—
47#550×C67C2211yescharacteristic
48#547×C67C2211yescharacteristic, complemented
49#546×C67—21no—
50#546×C67—21no—
51#546×C67—21no—
52#546×C67C2211yescharacteristic
53#546×C67C2211yescharacteristic
54D42×C67—21no—
55D42×C67C2211yescharacteristic
56#540×C67—21no—
57#538×C67—21no—
58#538×C67—21no—
59#533×C67C2211yescharacteristic, complemented
60#532×C67C2211yescharacteristic
61#529×C67—21no—
62#529×C67—21no—
63#529×C67—21no—
64#529×C67C2211yescharacteristic
65#525×C67C2211yescharacteristic
66#525×C67C2211yescharacteristic
67#525×C67C2211yescharacteristic, complemented
68#525×C67C2211yescharacteristic, complemented
69C2×#121×C67C2211yescharacteristic
70C2×#121×C67C2211yescharacteristic
71#518×C67—21no—
72C4×#41×C67—21no—
73C4×#41×C67C2211yescharacteristic, complemented
74C2×C4×D4×C67C2211yescharacteristic
75C2×#117×C67C2211yescharacteristic, complemented
76C2×#117×C67C2211yescharacteristic, complemented
77#501×C67C2211yescharacteristic, complemented
78#501×C67C2211yescharacteristic, complemented
79#501×C67C2211yescharacteristic, complemented
80#501×C67C2211yescharacteristic, complemented
81#490×C67C2211yescharacteristic, complemented
82#490×C67C2211yescharacteristic, complemented
83#489×C67C2211yescharacteristic, complemented
84#489×C67C2211yescharacteristic, complemented
85#485×C67C2211yescharacteristic, complemented
86#485×C67C2211yescharacteristic, complemented
87#485×C67C2211yescharacteristic, complemented
88#485×C67C2211yescharacteristic, complemented
89#485×C67C2211yescharacteristic, complemented
90#485×C67C2211yescharacteristic, complemented
91#485×C67C2211yescharacteristic, complemented
92#484×C67C2211yescharacteristic, complemented
93#484×C67C2211yescharacteristic, complemented
94#483×C67C2211yescharacteristic, complemented
95#483×C67C2211yescharacteristic, complemented
96#482×C67C2211yescharacteristic
97#482×C67C2211yescharacteristic
98#482×C67C2211yescharacteristic
99#482×C67C2211yescharacteristic, complemented
100#482×C67C2211yescharacteristic, complemented
101#482×C67C2211yescharacteristic, complemented
102#482×C67C2211yescharacteristic, complemented
103#482×C67C2211yescharacteristic, complemented
104#482×C67C2211yescharacteristic, complemented
105#482×C67C2211yescharacteristic, complemented
106#482×C67C2211yescharacteristic, complemented
107#482×C67C2211yescharacteristic, complemented
108#482×C67C2211yescharacteristic, complemented
109#482×C67C2211yescharacteristic, complemented
110#482×C67C2211yescharacteristic, complemented
111#482×C67C2211yescharacteristic, complemented
112#482×C67C2211yescharacteristic, complemented
113#481×C67C2211yescharacteristic, complemented
114#481×C67C2211yescharacteristic, complemented
115#481×C67C2211yescharacteristic, complemented
116#481×C67C2211yescharacteristic, complemented
117#480×C67C2211yescharacteristic, complemented
118#480×C67C2211yescharacteristic, complemented
119#480×C67C2211yescharacteristic, complemented
120#480×C67C2211yescharacteristic, complemented
121#479×C67C2211yescharacteristic, complemented
122#479×C67C2211yescharacteristic, complemented
123#479×C67C2211yescharacteristic, complemented
124#478×C67C2211yescharacteristic, complemented
125#478×C67C2211yescharacteristic, complemented
126#478×C67C2211yescharacteristic, complemented
127#476×C67C2211yescharacteristic, complemented
128#476×C67C2211yescharacteristic, complemented
129#475×C67C2211yescharacteristic, complemented
130#474×C67C2211yescharacteristic, complemented
131#474×C67C2211yescharacteristic, complemented
132#474×C67C2211yescharacteristic, complemented
133#470×C67C2211yescharacteristic, complemented
134#469×C67C2211yescharacteristic, complemented
135#469×C67C2211yescharacteristic, complemented
136#469×C67C2211yescharacteristic, complemented
137#468×C67C2211yescharacteristic, complemented
138#468×C67C2211yescharacteristic, complemented
139#468×C67C2211yescharacteristic, complemented
140#468×C67C2211yescharacteristic, complemented
141#467×C67C2211yescharacteristic, complemented
142#466×C67C2211yescharacteristic, complemented
143#466×C67C2211yescharacteristic, complemented
144#466×C67C2211yescharacteristic, complemented
145#465×C67C2211yescharacteristic, complemented
146#465×C67C2211yescharacteristic, complemented
147#465×C67C2211yescharacteristic, complemented
148#465×C67C2211yescharacteristic, complemented
149#464×C67C2211yescharacteristic, complemented
150#463×C67C2211yescharacteristic, complemented
151#460×C67C2211yescharacteristic, complemented
152#459×C67C2211yescharacteristic, complemented
153#452×C67C2211yescharacteristic, complemented
154#452×C67C2211yescharacteristic, complemented
155#452×C67C2211yescharacteristic, complemented
156#450×C67C2211yescharacteristic, complemented
157#450×C67C2211yescharacteristic, complemented
158#449×C67C2211yescharacteristic
159#449×C67C2211yescharacteristic, complemented
160#449×C67C2211yescharacteristic, complemented
161#449×C67C2211yescharacteristic, complemented
162#449×C67C2211yescharacteristic, complemented
163#447×C67C2211yescharacteristic, complemented
164#447×C67C2211yescharacteristic, complemented
165#442×C67C2211yescharacteristic, complemented
166#442×C67C2211yescharacteristic, complemented
167#442×C67C2211yescharacteristic, complemented
168#441×C67C2211yescharacteristic, complemented
169#440×C67C2211yescharacteristic, complemented
170#440×C67C2211yescharacteristic, complemented
171#440×C67C2211yescharacteristic, complemented
172#440×C67C2211yescharacteristic, complemented
173#435×C67C2211yescharacteristic
174#435×C67C2211yescharacteristic
175#435×C67C2211yescharacteristic, complemented
176#435×C67C2211yescharacteristic, complemented
177#435×C67C2211yescharacteristic, complemented
178#435×C67C2211yescharacteristic, complemented
179#435×C67C2211yescharacteristic, complemented
180#435×C67C2211yescharacteristic, complemented
181#432×C67C2211yescharacteristic, complemented
182#432×C67C2211yescharacteristic, complemented
183#428×C67C2211yescharacteristic, complemented
184#428×C67C2211yescharacteristic, complemented
185#428×C67C2211yescharacteristic, complemented
186#428×C67C2211yescharacteristic, complemented
187#427×C67C2211yescharacteristic, complemented
188#427×C67C2211yescharacteristic, complemented
189C2×#107×C67C2211yescharacteristic, complemented
190C2×#106×C67C2211yescharacteristic, complemented
191#418×C67C2211yescharacteristic, complemented
192#418×C67C2211yescharacteristic, complemented
193#417×C67C2211yescharacteristic, complemented
194#417×C67C2211yescharacteristic, complemented
195#416×C67C2211yescharacteristic, complemented
196#416×C67C2211yescharacteristic, complemented
197C2×#102×C67C2211yescharacteristic, complemented
198C2×#102×C67C2211yescharacteristic, complemented
199#407×C67C2211yescharacteristic, complemented
200#407×C67C2211yescharacteristic, complemented
201C2×C22⋊C8×C67C2211yescharacteristic, complemented
202C2×C22⋊C8×C67C2211yescharacteristic, complemented
203C2×#41×C67—21no—
204C2×#41×C67—21no—
205C2×#41×C67C2311yescharacteristic
206C2×#41×C67C2311yescharacteristic
207C2×#41×C67C2311yescharacteristic
208C22×D4×C67—21no—
209C22×D4×C67—21no—
210C22×D4×C67—21no—
211C22×D4×C67D411yescharacteristic
212C22×D4×C67C2311yescharacteristic
213C22×D4×C67C2311yescharacteristic
214C23×C4×C67C2311yescharacteristic
215C23×C4×C67C2311yescharacteristic
216C2×Q16×C67C2311yescharacteristic
217C2×SD16×C67C2311yescharacteristic
218C2×SD16×C67C2311yescharacteristic
219C2×SD16×C67C2311yescharacteristic
220C2×SD16×C67C2311yescharacteristic
221C2×D8×C67C2311yescharacteristic
222C2×D8×C67C2311yescharacteristic
223C2×D8×C67C2311yescharacteristic
224C2×M16×C67C2311yescharacteristic
225C2×M16×C67C2311yescharacteristic
226C2×M16×C67C2311yescharacteristic
227C2×M16×C67C2311yescharacteristic
228C22×C8×C67C2311yescharacteristic
229C22×C8×C67C2311yescharacteristic
230C22×C8×C67C2311yescharacteristic
231C22×C8×C67C2311yescharacteristic
232C4⋊Q8×C67C2311yescharacteristic
233C4⋊Q8×C67C2311yescharacteristic
234C4⋊Q8×C67C2311yescharacteristic
235#127×C67—21no—
236#127×C67C2311yescharacteristic
237#126×C67—21no—
238#126×C67—21no—
239#126×C67—21no—
240#126×C67—21no—
241#126×C67—21no—
242#126×C67—21no—
243#126×C67—21no—
244#126×C67—21no—
245#126×C67—21no—
246#125×C67—21no—
247#125×C67—21no—
248#125×C67—21no—
249#125×C67—21no—
250#125×C67C2311yescharacteristic
251#125×C67C2311yescharacteristic
252#125×C67C2311yescharacteristic
253#124×C67—21no—
254#124×C67—21no—
255#124×C67—21no—
256#124×C67—21no—
257#124×C67—21no—
258#124×C67—21no—
259#124×C67C2311yescharacteristic
260#123×C67—21no—
261#123×C67—21no—
262#123×C67—21no—
263#123×C67—21no—
264#123×C67—21no—
265#123×C67—21no—
266#123×C67—21no—
267#123×C67—21no—
268#123×C67—21no—
269#123×C67—21no—
270#123×C67—21no—
271#123×C67—21no—
272#123×C67—21no—
273#123×C67—21no—
274#123×C67—21no—
275C22⋊Q8×C67—21no—
276C22⋊Q8×C67—21no—
277C22⋊Q8×C67—21no—
278C22⋊Q8×C67—21no—
279C22⋊Q8×C67—21no—
280C22⋊Q8×C67—21no—
281C22⋊Q8×C67—21no—
282C22⋊Q8×C67C2311yescharacteristic
283C22⋊Q8×C67C2311yescharacteristic
284C22⋊Q8×C67C2311yescharacteristic
285C22⋊Q8×C67C2311yescharacteristic
286C22⋊Q8×C67C2311yescharacteristic
287C22⋊Q8×C67C2311yescharacteristic
288C22⋊Q8×C67C2311yescharacteristic
289#121×C67—21no—
290#121×C67—21no—
291#121×C67—21no—
292#121×C67—21no—
293#121×C67—21no—
294#121×C67—21no—
295#121×C67—21no—
296#121×C67—21no—
297#121×C67—21no—
298#121×C67—21no—
299#121×C67—21no—
300#121×C67—21no—
301#121×C67—21no—
302#121×C67—21no—
303#121×C67—21no—
304#121×C67—21no—
305#121×C67C2311yescharacteristic
306#121×C67C2311yescharacteristic
307#121×C67C2311yescharacteristic
308#121×C67C2311yescharacteristic
309#121×C67C2311yescharacteristic
310#121×C67C2311yescharacteristic
311#121×C67C2311yescharacteristic
312#121×C67C2311yescharacteristic
313#121×C67C2311yescharacteristic
314#121×C67C2311yescharacteristic
315#121×C67C2311yescharacteristic
316#121×C67C2311yescharacteristic
317#121×C67C2311yescharacteristic
318#120×C67—21no—
319#120×C67—21no—
320#120×C67—21no—
321#120×C67—21no—
322#120×C67—21no—
323#120×C67—21no—
324#120×C67—21no—
325#120×C67—21no—
326C4×Q8×C67—21no—
327C4×Q8×C67—21no—
328C4×Q8×C67—21no—
329C4×Q8×C67C2311yescharacteristic
330C4×Q8×C67C2311yescharacteristic
331C4×Q8×C67C2311yescharacteristic
332C4×D4×C67—21no—
333C4×D4×C67—21no—
334C4×D4×C67—21no—
335C4×D4×C67—21no—
336C4×D4×C67—21no—
337C4×D4×C67—21no—
338C4×D4×C67—21no—
339C4×D4×C67—21no—
340C4×D4×C67—21no—
341C4×D4×C67—21no—
342C4×D4×C67—21no—
343C4×D4×C67—21no—
344C4×D4×C67—21no—
345C4×D4×C67—21no—
346C4×D4×C67—21no—
347C4×D4×C67—21no—
348C4×D4×C67—21no—
349C4×D4×C67—21no—
350C4×D4×C67—21no—
351C4×D4×C67D411yescharacteristic
352C4×D4×C67D411yescharacteristic
353C4×D4×C67D411yescharacteristic
354C4×D4×C67D411yescharacteristic
355C4×D4×C67C2311yescharacteristic
356C4×D4×C67C2311yescharacteristic
357C4×D4×C67C2311yescharacteristic
358C4×D4×C67C2311yescharacteristic
359C4×D4×C67C2311yescharacteristic
360C4×D4×C67C2311yescharacteristic
361C4×D4×C67C2311yescharacteristic
362C4×D4×C67C2311yescharacteristic
363C4×D4×C67C2311yescharacteristic
364#117×C67—21no—
365#117×C67—21no—
366#117×C67—21no—
367#117×C67—21no—
368#117×C67—21no—
369#117×C67—21no—
370#117×C67—21no—
371#117×C67—21no—
372#117×C67—21no—
373#117×C67—21no—
374#117×C67C2311yescharacteristic
375#117×C67C2311yescharacteristic
376#117×C67C2311yescharacteristic
377#117×C67C2311yescharacteristic
378#117×C67C2311yescharacteristic
379#117×C67C2311yescharacteristic
380#117×C67C2311yescharacteristic
381#117×C67C2311yescharacteristic
382#117×C67C2311yescharacteristic
383C2×C4⋊C4×C67D411yescharacteristic
384C2×C4⋊C4×C67C2311yescharacteristic
385C2×C4⋊C4×C67C2311yescharacteristic
386C2×C4⋊C4×C67C2311yescharacteristic
387C2×C4⋊C4×C67C2311yescharacteristic
388C2×C4⋊C4×C67C2311yescharacteristic
389C2×C4⋊C4×C67C2311yescharacteristic
390C2×C22⋊C4×C67—21no—
391C2×C22⋊C4×C67—21no—
392C2×C22⋊C4×C67—21no—
393C2×C22⋊C4×C67—21no—
394C2×C22⋊C4×C67—21no—
395C2×C22⋊C4×C67—21no—
396C2×C22⋊C4×C67D411yescharacteristic
397C2×C22⋊C4×C67D411yescharacteristic
398C2×C42×C67—21no—
399C2×C42×C67—21no—
400C2×C42×C67—21no—
401C2×C42×C67C2311yescharacteristic
402#107×C67C2311yescharacteristic
403#107×C67C2311yescharacteristic
404#107×C67C2311yescharacteristic
405#107×C67C2311yescharacteristic
406#107×C67C2311yescharacteristic
407#107×C67C2311yescharacteristic
408#107×C67C2311yescharacteristic
409#107×C67C2311yescharacteristic
410#107×C67C2311yescharacteristic
411#107×C67C2311yescharacteristic
412#107×C67C2311yescharacteristic
413#107×C67C2311yescharacteristic
414#106×C67C2311yescharacteristic
415#106×C67C2311yescharacteristic
416#106×C67C2311yescharacteristic
417#106×C67C2311yescharacteristic
418#106×C67C2311yescharacteristic
419#106×C67C2311yescharacteristic
420#106×C67C2311yescharacteristic
421#106×C67C2311yescharacteristic
422#106×C67C2311yescharacteristic
423#106×C67C2311yescharacteristic
424#106×C67C2311yescharacteristic
425#106×C67C2311yescharacteristic
426C4⋊C8×C67C2311yescharacteristic
427C4⋊C8×C67C2311yescharacteristic
428C4⋊C8×C67C2311yescharacteristic
429C4⋊C8×C67C2311yescharacteristic
430#103×C67C2311yescharacteristic
431#103×C67C2311yescharacteristic
432#103×C67C2311yescharacteristic
433#103×C67C2311yescharacteristic
434#103×C67C2311yescharacteristic
435#103×C67C2311yescharacteristic
436#103×C67C2311yescharacteristic
437#103×C67C2311yescharacteristic
438#103×C67C2311yescharacteristic
439#103×C67C2311yescharacteristic
440#102×C67C2311yescharacteristic
441#102×C67C2311yescharacteristic
442#102×C67C2311yescharacteristic
443#102×C67C2311yescharacteristic
444#102×C67C2311yescharacteristic
445#102×C67C2311yescharacteristic
446#102×C67C2311yescharacteristic
447#102×C67C2311yescharacteristic
448#102×C67C2311yescharacteristic
449#102×C67C2311yescharacteristic
450#102×C67C2311yescharacteristic
451#102×C67C2311yescharacteristic
452#102×C67C2311yescharacteristic
453#102×C67C2311yescharacteristic
454#102×C67C2311yescharacteristic
455#102×C67C2311yescharacteristic
456#102×C67C2311yescharacteristic
457#102×C67C2311yescharacteristic
458#102×C67C2311yescharacteristic
459#102×C67C2311yescharacteristic
460#102×C67C2311yescharacteristic
461#102×C67C2311yescharacteristic
462C22⋊C8×C67C2311yescharacteristic
463C22⋊C8×C67C2311yescharacteristic
464C22⋊C8×C67C2311yescharacteristic
465C22⋊C8×C67C2311yescharacteristic
466C22⋊C8×C67C2311yescharacteristic
467C22⋊C8×C67C2311yescharacteristic
468C22⋊C8×C67C2311yescharacteristic
469C22⋊C8×C67C2311yescharacteristic
470C22⋊C8×C67C2311yescharacteristic
471C22⋊C8×C67C2311yescharacteristic
472C22⋊C8×C67C2311yescharacteristic
473C22⋊C8×C67C2311yescharacteristic
474#97×C67C2311yescharacteristic
475#97×C67C2311yescharacteristic
476#97×C67C2311yescharacteristic
477#97×C67C2311yescharacteristic
478C24×C67—21no—
479C24×C67—21no—
480C24×C67C2×D411yescharacteristic
481C24×C67C2×D411yescharacteristic
482#41×C67—41no—
483#41×C67—41no—
484#41×C67—41no—
485#41×C67—41no—
486#41×C67—41no—
487#41×C67—41no—
488#41×C67—44no—
489#41×C67—82no—
490C2×Q8×C67—21no—
491C2×Q8×C67—21no—
492C2×Q8×C67—21no—
493C2×Q8×C67C2411yescharacteristic
494C2×Q8×C67C2411yescharacteristic
495C2×D4×C67—21no—
496C2×D4×C67—21no—
497C2×D4×C67—21no—
498C2×D4×C67—21no—
499C2×D4×C67—21no—
500C2×D4×C67—21no—
501C2×D4×C67—21no—
502C2×D4×C67—21no—
503C2×D4×C67—21no—
504C2×D4×C67—21no—
505C2×D4×C67—21no—
506C2×D4×C67—21no—
507C2×D4×C67—21no—
508C2×D4×C67—21no—
509C2×D4×C67—21no—
510C2×D4×C67—21no—
511C2×D4×C67—21no—
512C2×D4×C67—21no—
513C2×D4×C67—21no—
514C2×D4×C67—21no—
515C2×D4×C67—41no—
516C2×D4×C67—41no—
517C2×D4×C67—41no—
518C2×D4×C67—41no—
519C2×D4×C67—42no—
520C2×D4×C67—44no—
521C2×D4×C67—82no—
522C2×D4×C67—82no—
523C2×D4×C67C2×D411yescharacteristic
524C2×D4×C67C2×D411yescharacteristic
525C2×D4×C67C2×D411yescharacteristic
526C2×D4×C67C2×D411yescharacteristic
527C2×D4×C67C2411yescharacteristic
528C2×D4×C67C2411yescharacteristic
529C2×D4×C67C2411yescharacteristic
530C2×D4×C67C2411yescharacteristic
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—21no—
544C22×C4×C67—21no—
545C22×C4×C67—41no—
546C22×C4×C67—41no—
547C22×C4×C67—41no—
548C22×C4×C67—41no—
549C22×C4×C67C2×D411yescharacteristic
550C22×C4×C67C2×D411yescharacteristic
551C22×C4×C67C2×D411yescharacteristic
552C22×C4×C67C2×D411yescharacteristic
553C22×C4×C67C2×D411yescharacteristic
554C22×C4×C67C2×D411yescharacteristic
555C22×C4×C67C2×D411yescharacteristic
556C22×C4×C67C2×D411yescharacteristic
557C22×C4×C67C2411yescharacteristic
558C22×C4×C67C2411yescharacteristic
559C22×C4×C67C2411yescharacteristic
560C22×C4×C67C2411yescharacteristic
561C22×C4×C67C2411yescharacteristic
562Q16×C67—41no—
563SD16×C67—41no—
564SD16×C67—41no—
565SD16×C67—41no—
566SD16×C67—41no—
567D8×C67—41no—
568D8×C67—41no—
569D8×C67—41no—
570M16×C67—41no—
571M16×C67—41no—
572M16×C67—41no—
573M16×C67—41no—
574C2×C8×C67—41no—
575C2×C8×C67—41no—
576C2×C8×C67—41no—
577C2×C8×C67—41no—
578C2×C8×C67C2411yescharacteristic
579C2×C8×C67C2411yescharacteristic
580C2×C8×C67C2411yescharacteristic
581C2×C8×C67C2411yescharacteristic
582C2×C8×C67C2411yescharacteristic
583C2×C8×C67C2411yescharacteristic
584C2×C8×C67C2411yescharacteristic
585C2×C8×C67C2411yescharacteristic
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×C67C2×D411yescharacteristic
612C4⋊C4×C67C2×D411yescharacteristic
613C4⋊C4×C67C2×D411yescharacteristic
614C4⋊C4×C67C2×D411yescharacteristic
615C4⋊C4×C67C2411yescharacteristic
616C4⋊C4×C67C2411yescharacteristic
617C4⋊C4×C67C2411yescharacteristic
618C4⋊C4×C67C2411yescharacteristic
619C4⋊C4×C67C2411yescharacteristic
620C4⋊C4×C67C2411yescharacteristic
621C4⋊C4×C67C2411yescharacteristic
622C4⋊C4×C67C2411yescharacteristic
623C4⋊C4×C67C2411yescharacteristic
624C4⋊C4×C67C2411yescharacteristic
625C22⋊C4×C67—21no—
626C22⋊C4×C67—21no—
627C22⋊C4×C67—21no—
628C22⋊C4×C67—21no—
629C22⋊C4×C67—21no—
630C22⋊C4×C67—21no—
631C22⋊C4×C67—21no—
632C22⋊C4×C67—21no—
633C22⋊C4×C67—21no—
634C22⋊C4×C67—21no—
635C22⋊C4×C67—21no—
636C22⋊C4×C67—21no—
637C22⋊C4×C67—21no—
638C22⋊C4×C67—21no—
639C22⋊C4×C67—21no—
640C22⋊C4×C67—21no—
641C22⋊C4×C67—21no—
642C22⋊C4×C67—21no—
643C22⋊C4×C67—21no—
644C22⋊C4×C67—21no—
645C22⋊C4×C67—21no—
646C22⋊C4×C67—21no—
647C22⋊C4×C67—21no—
648C22⋊C4×C67—21no—
649C22⋊C4×C67—21no—
650C22⋊C4×C67—21no—
651C22⋊C4×C67—21no—
652C22⋊C4×C67—21no—
653C22⋊C4×C67—21no—
654C22⋊C4×C67—21no—
655C22⋊C4×C67—21no—
656C22⋊C4×C67—21no—
657C22⋊C4×C67—21no—
658C22⋊C4×C67—21no—
659C22⋊C4×C67—21no—
660C22⋊C4×C67—21no—
661C22⋊C4×C67C2×D411yescharacteristic
662C22⋊C4×C67C2×D411yescharacteristic
663C22⋊C4×C67C2×D411yescharacteristic
664C22⋊C4×C67C2×D411yescharacteristic
665C22⋊C4×C67C2×D411yescharacteristic
666C22⋊C4×C67C2×D411yescharacteristic
667C22⋊C4×C67C2×D411yescharacteristic
668C22⋊C4×C67C2×D411yescharacteristic
669C42×C67—21no—
670C42×C67—21no—
671C42×C67—21no—
672C42×C67—21no—
673C42×C67—21no—
674C42×C67—21no—
675C42×C67—21no—
676C42×C67—21no—
677C42×C67—21no—
678C42×C67—21no—
679C42×C67—21no—
680C42×C67—21no—
681C42×C67C2×D411yescharacteristic
682C42×C67C2×D411yescharacteristic
683C42×C67C2411yescharacteristic
684C42×C67C2411yescharacteristic
685C23×C67—22no—
686C23×C67—21no—
687C23×C67—21no—
688C23×C67—21no—
689C23×C67—21no—
690C23×C67—41no—
691C23×C67—41no—
692C23×C67—41no—
693C23×C67—41no—
694C23×C67—41no—
695C23×C67—42no—
696C23×C67—42no—
697C23×C67—81no—
698C23×C67—81no—
699C23×C67—81no—
700C23×C67—81no—
701C23×C67C22×D411yescharacteristic
702C23×C67C22×D411yescharacteristic
703C23×C67C22×D411yescharacteristic
704C23×C67C22×D411yescharacteristic
705C23×C67C22×D411yescharacteristic
706Q8×C67—21no—
707Q8×C67—21no—
708Q8×C67—21no—
709Q8×C67—21no—
710Q8×C67—42no—
711Q8×C67—81no—
712Q8×C67—81no—
713D4×C67—22no—
714D4×C67—22no—
715D4×C67—21no—
716D4×C67—21no—
717D4×C67—21no—
718D4×C67—21no—
719D4×C67—21no—
720D4×C67—21no—
721D4×C67—21no—
722D4×C67—21no—
723D4×C67—41no—
724D4×C67—41no—
725D4×C67—42no—
726D4×C67—42no—
727D4×C67—42no—
728D4×C67—42no—
729D4×C67—42no—
730D4×C67—42no—
731D4×C67—42no—
732D4×C67—42no—
733D4×C67—42no—
734D4×C67—81no—
735D4×C67—81no—
736D4×C67—81no—
737D4×C67—81no—
738D4×C67—81no—
739D4×C67—81no—
740D4×C67—81no—
741D4×C67—81no—
742D4×C67—81no—
743D4×C67—81no—
744D4×C67—81no—
745C2×C4×C67—21no—
746C2×C4×C67—21no—
747C2×C4×C67—21no—
748C2×C4×C67—21no—
749C2×C4×C67—21no—
750C2×C4×C67—21no—
751C2×C4×C67—21no—
752C2×C4×C67—21no—
753C2×C4×C67—21no—
754C2×C4×C67—21no—
755C2×C4×C67—21no—
756C2×C4×C67—21no—
757C2×C4×C67—21no—
758C2×C4×C67—21no—
759C2×C4×C67—21no—
760C2×C4×C67—21no—
761C2×C4×C67—21no—
762C2×C4×C67—21no—
763C2×C4×C67—21no—
764C2×C4×C67—21no—
765C2×C4×C67—21no—
766C2×C4×C67—21no—
767C2×C4×C67—41no—
768C2×C4×C67—41no—
769C2×C4×C67—41no—
770C2×C4×C67—41no—
771C2×C4×C67—41no—
772C2×C4×C67—41no—
773C2×C4×C67—41no—
774C2×C4×C67—41no—
775C2×C4×C67—42no—
776C2×C4×C67—42no—
777C2×C4×C67—42no—
778C2×C4×C67—42no—
779C2×C4×C67—42no—
780C2×C4×C67—81no—
781C2×C4×C67—81no—
782C2×C4×C67—81no—
783C2×C4×C67—81no—
784C2×C4×C67—81no—
785C2×C4×C67—81no—
786C2×C4×C67—81no—
787C2×C4×C67—81no—
788C2×C4×C67—81no—
789C2×C4×C67C22×D411yescharacteristic
790C2×C4×C67C22×D411yescharacteristic
791C2×C4×C67C22×D411yescharacteristic
792C2×C4×C67C22×D411yescharacteristic
793C2×C4×C67C22×D411yescharacteristic
794C2×C4×C67C22×D411yescharacteristic
795C2×C4×C67C22×D411yescharacteristic
796C2×C4×C67C22×D411yescharacteristic
797C2×C4×C67C22×D411yescharacteristic
798C2×C4×C67C2511yescharacteristic
799C8×C67—21no—
800C8×C67—21no—
801C8×C67—21no—
802C8×C67—21no—
803C8×C67—21no—
804C8×C67—21no—
805C8×C67—21no—
806C8×C67—21no—
807C22×C67—21no—
808C22×C67—21no—
809C22×C67—21no—
810C22×C67—21no—
811C22×C67—21no—
812C22×C67—21no—
813C22×C67—21no—
814C22×C67—21no—
815C22×C67—21no—
816C22×C67—21no—
817C22×C67—21no—
818C22×C67—21no—
819C22×C67—21no—
820C22×C67—21no—
821C22×C67—41no—
822C22×C67—41no—
823C22×C67—41no—
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—82no—
834C22×C67—82no—
835C22×C67—162no—
836C22×C67—162no—
837C22×C67#57512yes—
838C22×C67C23×D411yescharacteristic
839C4×C67—21no—
840C4×C67—21no—
841C4×C67—21no—
842C4×C67—21no—
843C4×C67—21no—
844C4×C67—21no—
845C4×C67—21no—
846C4×C67—21no—
847C4×C67—21no—
848C4×C67—41no—
849C4×C67—41no—
850C4×C67—41no—
851C4×C67—41no—
852C4×C67—41no—
853C4×C67—41no—
854C4×C67—41no—
855C4×C67—41no—
856C4×C67—41no—
857C4×C67—41no—
858C4×C67—41no—
859C4×C67—41no—
860C4×C67#58511yescharacteristic
861C4×C67#58511yescharacteristic
862#61714C6711yesmaximal, characteristic, direct product factor, Sylow
863C2×C67—22no—
864C2×C67—41no—
865C2×C67—41no—
866C2×C67—41no—
867C2×C67—41no—
868C2×C67—81no—
869C2×C67—81no—
870C2×C67—81no—
871C2×C67—81no—
872C2×C67#348511yescharacteristic
873C2×C67C2×#57511yescharacteristic
874C2×C67#358511yescharacteristic
875#3519C2×C6711yescharacteristic, complemented
876#3475C2×C6711yescharacteristic, complemented
877#3350C2×C6711yescharacteristic, complemented
878#3348C2×C6711yescharacteristic, complemented
879#3347C2×C6711yescharacteristic, complemented
880#3347C2×C6711yescharacteristic, complemented
881#3346C2×C6711yescharacteristic, complemented
882#3346C2×C6711yescharacteristic, complemented
883#3345C2×C6711yescharacteristic, complemented
884#3344C2×C6711yescharacteristic, complemented
885#3319C2×C6711yescharacteristic, complemented
886#3318C2×C6711yescharacteristic, complemented
887#3317C2×C6711yescharacteristic, complemented
888#3314C2×C6711yescharacteristic, complemented
889#3311C2×C6711yescharacteristic, complemented
890#3310C2×C6711yescharacteristic, complemented
891#3309C2×C6711yescharacteristic, complemented
892#3306C2×C6711yescharacteristic, complemented
893#3240C2×C6711yescharacteristic, complemented
894#3235C2×C6711yescharacteristic, complemented
895#3197C2×C6711yescharacteristic, complemented
896#3194C2×C6711yescharacteristic, complemented
897#3191C2×C6711yescharacteristic, complemented
898#3188C2×C6711yescharacteristic, complemented
899#3115C2×C6711yescharacteristic, complemented
900#3111C2×C6711yescharacteristic, complemented
901#3094C2×C6711yescharacteristic, complemented
902#3093C2×C6711yescharacteristic, complemented
903#3091C2×C6711yescharacteristic, complemented
904C2×#482C2×C6711yescharacteristic, complemented
905#2973C2×C6711yescharacteristic, complemented
906C67#6171411yescharacteristic, direct product factor, Sylow
907#556C22×C6711yescharacteristic, complemented
908#555C22×C6711yescharacteristic
909#555C22×C6711yescharacteristic, complemented
910#554C22×C6711yescharacteristic
911#554C22×C6711yescharacteristic, complemented
912#553—21no—
913#553C22×C6711yescharacteristic
914#553C22×C6711yescharacteristic
915#553C22×C6711yescharacteristic
916#553C22×C6711yescharacteristic, complemented
917#552—21no—
918#552C22×C6711yescharacteristic
919#552C22×C6711yescharacteristic, complemented
920#551—21no—
921#551—21no—
922#550C22×C6711yescharacteristic
923#547C22×C6711yescharacteristic, complemented
924#546—21no—
925#546—21no—
926#546—21no—
927#546C22×C6711yescharacteristic
928#546C22×C6711yescharacteristic
929D42—21no—
930D42C22×C6711yescharacteristic
931#540—21no—
932#538—21no—
933#538—21no—
934#533C22×C6711yescharacteristic, complemented
935#532C22×C6711yescharacteristic
936#529—21no—
937#529—21no—
938#529—21no—
939#529C22×C6711yescharacteristic
940#525C22×C6711yescharacteristic
941#525C22×C6711yescharacteristic
942#525C22×C6711yescharacteristic, complemented
943#525C22×C6711yescharacteristic, complemented
944C2×#121C22×C6711yescharacteristic
945C2×#121C22×C6711yescharacteristic
946#518—21no—
947C4×#41—21no—
948C4×#41C22×C6711yescharacteristic, complemented
949C2×C4×D4C22×C6711yescharacteristic
950C2×#117C22×C6711yescharacteristic, complemented
951C2×#117C22×C6711yescharacteristic, complemented
952#501C22×C6711yescharacteristic, complemented
953#501C22×C6711yescharacteristic, complemented
954#501C22×C6711yescharacteristic, complemented
955#501C22×C6711yescharacteristic, complemented
956#490C22×C6711yescharacteristic, complemented
957#490C22×C6711yescharacteristic, complemented
958#489C22×C6711yescharacteristic, complemented
959#489C22×C6711yescharacteristic, complemented
960#485C22×C6711yescharacteristic, complemented
961#485C22×C6711yescharacteristic, complemented
962#485C22×C6711yescharacteristic, complemented
963#485C22×C6711yescharacteristic, complemented
964#485C22×C6711yescharacteristic, complemented
965#485C22×C6711yescharacteristic, complemented
966#485C22×C6711yescharacteristic, complemented
967#484C22×C6711yescharacteristic, complemented
968#484C22×C6711yescharacteristic, complemented
969#483C22×C6711yescharacteristic, complemented
970#483C22×C6711yescharacteristic, complemented
971#482C22×C6711yescharacteristic
972#482C22×C6711yescharacteristic
973#482C22×C6711yescharacteristic
974#482C22×C6711yescharacteristic, complemented
975#482C22×C6711yescharacteristic, complemented
976#482C22×C6711yescharacteristic, complemented
977#482C22×C6711yescharacteristic, complemented
978#482C22×C6711yescharacteristic, complemented
979#482C22×C6711yescharacteristic, complemented
980#482C22×C6711yescharacteristic, complemented
981#482C22×C6711yescharacteristic, complemented
982#482C22×C6711yescharacteristic, complemented
983#482C22×C6711yescharacteristic, complemented
984#482C22×C6711yescharacteristic, complemented
985#482C22×C6711yescharacteristic, complemented
986#482C22×C6711yescharacteristic, complemented
987#482C22×C6711yescharacteristic, complemented
988#481C22×C6711yescharacteristic, complemented
989#481C22×C6711yescharacteristic, complemented
990#481C22×C6711yescharacteristic, complemented
991#481C22×C6711yescharacteristic, complemented
992#480C22×C6711yescharacteristic, complemented
993#480C22×C6711yescharacteristic, complemented
994#480C22×C6711yescharacteristic, complemented
995#480C22×C6711yescharacteristic, complemented
996#479C22×C6711yescharacteristic, complemented
997#479C22×C6711yescharacteristic, complemented
998#479C22×C6711yescharacteristic, complemented
999#478C22×C6711yescharacteristic, complemented
1000#478C22×C6711yescharacteristic, complemented
1001#478C22×C6711yescharacteristic, complemented
1002#476C22×C6711yescharacteristic, complemented
1003#476C22×C6711yescharacteristic, complemented
1004#475C22×C6711yescharacteristic, complemented
1005#474C22×C6711yescharacteristic, complemented
1006#474C22×C6711yescharacteristic, complemented
1007#474C22×C6711yescharacteristic, complemented
1008#470C22×C6711yescharacteristic, complemented
1009#469C22×C6711yescharacteristic, complemented
1010#469C22×C6711yescharacteristic, complemented
1011#469C22×C6711yescharacteristic, complemented
1012#468C22×C6711yescharacteristic, complemented
1013#468C22×C6711yescharacteristic, complemented
1014#468C22×C6711yescharacteristic, complemented
1015#468C22×C6711yescharacteristic, complemented
1016#467C22×C6711yescharacteristic, complemented
1017#466C22×C6711yescharacteristic, complemented
1018#466C22×C6711yescharacteristic, complemented
1019#466C22×C6711yescharacteristic, complemented
1020#465C22×C6711yescharacteristic, complemented
1021#465C22×C6711yescharacteristic, complemented
1022#465C22×C6711yescharacteristic, complemented
1023#465C22×C6711yescharacteristic, complemented
1024#464C22×C6711yescharacteristic, complemented
1025#463C22×C6711yescharacteristic, complemented
1026#460C22×C6711yescharacteristic, complemented
1027#459C22×C6711yescharacteristic, complemented
1028#452C22×C6711yescharacteristic, complemented
1029#452C22×C6711yescharacteristic, complemented
1030#452C22×C6711yescharacteristic, complemented
1031#450C22×C6711yescharacteristic, complemented
1032#450C22×C6711yescharacteristic, complemented
1033#449C22×C6711yescharacteristic
1034#449C22×C6711yescharacteristic, complemented
1035#449C22×C6711yescharacteristic, complemented
1036#449C22×C6711yescharacteristic, complemented
1037#449C22×C6711yescharacteristic, complemented
1038#447C22×C6711yescharacteristic, complemented
1039#447C22×C6711yescharacteristic, complemented
1040#442C22×C6711yescharacteristic, complemented
1041#442C22×C6711yescharacteristic, complemented
1042#442C22×C6711yescharacteristic, complemented
1043#441C22×C6711yescharacteristic, complemented
1044#440C22×C6711yescharacteristic, complemented
1045#440C22×C6711yescharacteristic, complemented
1046#440C22×C6711yescharacteristic, complemented
1047#440C22×C6711yescharacteristic, complemented
1048#435C22×C6711yescharacteristic
1049#435C22×C6711yescharacteristic
1050#435C22×C6711yescharacteristic, complemented
1051#435C22×C6711yescharacteristic, complemented
1052#435C22×C6711yescharacteristic, complemented
1053#435C22×C6711yescharacteristic, complemented
1054#435C22×C6711yescharacteristic, complemented
1055#435C22×C6711yescharacteristic, complemented
1056#432C22×C6711yescharacteristic, complemented
1057#432C22×C6711yescharacteristic, complemented
1058#428C22×C6711yescharacteristic, complemented
1059#428C22×C6711yescharacteristic, complemented
1060#428C22×C6711yescharacteristic, complemented
1061#428C22×C6711yescharacteristic, complemented
1062#427C22×C6711yescharacteristic, complemented
1063#427C22×C6711yescharacteristic, complemented
1064C2×#107C22×C6711yescharacteristic, complemented
1065C2×#106C22×C6711yescharacteristic, complemented
1066#418C22×C6711yescharacteristic, complemented
1067#418C22×C6711yescharacteristic, complemented
1068#417C22×C6711yescharacteristic, complemented
1069#417C22×C6711yescharacteristic, complemented
1070#416C22×C6711yescharacteristic, complemented
1071#416C22×C6711yescharacteristic, complemented
1072C2×#102C22×C6711yescharacteristic, complemented
1073C2×#102C22×C6711yescharacteristic, complemented
1074#407C22×C6711yescharacteristic, complemented
1075#407C22×C6711yescharacteristic, complemented
1076C2×C22⋊C8C22×C6711yescharacteristic, complemented
1077C2×C22⋊C8C22×C6711yescharacteristic, complemented
1078C2×#41—21no—
1079C2×#41—21no—
1080C2×#41C23×C6711yescharacteristic
1081C2×#41C23×C6711yescharacteristic
1082C2×#41C23×C6711yescharacteristic
1083C22×D4—21no—
1084C22×D4—21no—
1085C22×D4—21no—
1086C22×D4D4×C6711yescharacteristic
1087C22×D4C23×C6711yescharacteristic
1088C22×D4C23×C6711yescharacteristic
1089C23×C4C23×C6711yescharacteristic
1090C23×C4C23×C6711yescharacteristic
1091C2×Q16C23×C6711yescharacteristic
1092C2×SD16C23×C6711yescharacteristic
1093C2×SD16C23×C6711yescharacteristic
1094C2×SD16C23×C6711yescharacteristic
1095C2×SD16C23×C6711yescharacteristic
1096C2×D8C23×C6711yescharacteristic
1097C2×D8C23×C6711yescharacteristic
1098C2×D8C23×C6711yescharacteristic
1099C2×M16C23×C6711yescharacteristic
1100C2×M16C23×C6711yescharacteristic
1101C2×M16C23×C6711yescharacteristic
1102C2×M16C23×C6711yescharacteristic
1103C22×C8C23×C6711yescharacteristic
1104C22×C8C23×C6711yescharacteristic
1105C22×C8C23×C6711yescharacteristic
1106C22×C8C23×C6711yescharacteristic
1107C4⋊Q8C23×C6711yescharacteristic
1108C4⋊Q8C23×C6711yescharacteristic
1109C4⋊Q8C23×C6711yescharacteristic
1110#127—21no—
1111#127C23×C6711yescharacteristic
1112#126—21no—
1113#126—21no—
1114#126—21no—
1115#126—21no—
1116#126—21no—
1117#126—21no—
1118#126—21no—
1119#126—21no—
1120#126—21no—
1121#125—21no—
1122#125—21no—
1123#125—21no—
1124#125—21no—
1125#125C23×C6711yescharacteristic
1126#125C23×C6711yescharacteristic
1127#125C23×C6711yescharacteristic
1128#124—21no—
1129#124—21no—
1130#124—21no—
1131#124—21no—
1132#124—21no—
1133#124—21no—
1134#124C23×C6711yescharacteristic
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—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8C23×C6711yescharacteristic
1158C22⋊Q8C23×C6711yescharacteristic
1159C22⋊Q8C23×C6711yescharacteristic
1160C22⋊Q8C23×C6711yescharacteristic
1161C22⋊Q8C23×C6711yescharacteristic
1162C22⋊Q8C23×C6711yescharacteristic
1163C22⋊Q8C23×C6711yescharacteristic
1164#121—21no—
1165#121—21no—
1166#121—21no—
1167#121—21no—
1168#121—21no—
1169#121—21no—
1170#121—21no—
1171#121—21no—
1172#121—21no—
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121C23×C6711yescharacteristic
1181#121C23×C6711yescharacteristic
1182#121C23×C6711yescharacteristic
1183#121C23×C6711yescharacteristic
1184#121C23×C6711yescharacteristic
1185#121C23×C6711yescharacteristic
1186#121C23×C6711yescharacteristic
1187#121C23×C6711yescharacteristic
1188#121C23×C6711yescharacteristic
1189#121C23×C6711yescharacteristic
1190#121C23×C6711yescharacteristic
1191#121C23×C6711yescharacteristic
1192#121C23×C6711yescharacteristic
1193#120—21no—
1194#120—21no—
1195#120—21no—
1196#120—21no—
1197#120—21no—
1198#120—21no—
1199#120—21no—
1200#120—21no—
1201C4×Q8—21no—
1202C4×Q8—21no—
1203C4×Q8—21no—
1204C4×Q8C23×C6711yescharacteristic
1205C4×Q8C23×C6711yescharacteristic
1206C4×Q8C23×C6711yescharacteristic
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×D4—21no—
1221C4×D4—21no—
1222C4×D4—21no—
1223C4×D4—21no—
1224C4×D4—21no—
1225C4×D4—21no—
1226C4×D4D4×C6711yescharacteristic
1227C4×D4D4×C6711yescharacteristic
1228C4×D4D4×C6711yescharacteristic
1229C4×D4D4×C6711yescharacteristic
1230C4×D4C23×C6711yescharacteristic
1231C4×D4C23×C6711yescharacteristic
1232C4×D4C23×C6711yescharacteristic
1233C4×D4C23×C6711yescharacteristic
1234C4×D4C23×C6711yescharacteristic
1235C4×D4C23×C6711yescharacteristic
1236C4×D4C23×C6711yescharacteristic
1237C4×D4C23×C6711yescharacteristic
1238C4×D4C23×C6711yescharacteristic
1239#117—21no—
1240#117—21no—
1241#117—21no—
1242#117—21no—
1243#117—21no—
1244#117—21no—
1245#117—21no—
1246#117—21no—
1247#117—21no—
1248#117—21no—
1249#117C23×C6711yescharacteristic
1250#117C23×C6711yescharacteristic
1251#117C23×C6711yescharacteristic
1252#117C23×C6711yescharacteristic
1253#117C23×C6711yescharacteristic
1254#117C23×C6711yescharacteristic
1255#117C23×C6711yescharacteristic
1256#117C23×C6711yescharacteristic
1257#117C23×C6711yescharacteristic
1258C2×C4⋊C4D4×C6711yescharacteristic
1259C2×C4⋊C4C23×C6711yescharacteristic
1260C2×C4⋊C4C23×C6711yescharacteristic
1261C2×C4⋊C4C23×C6711yescharacteristic
1262C2×C4⋊C4C23×C6711yescharacteristic
1263C2×C4⋊C4C23×C6711yescharacteristic
1264C2×C4⋊C4C23×C6711yescharacteristic
1265C2×C22⋊C4—21no—
1266C2×C22⋊C4—21no—
1267C2×C22⋊C4—21no—
1268C2×C22⋊C4—21no—
1269C2×C22⋊C4—21no—
1270C2×C22⋊C4—21no—
1271C2×C22⋊C4D4×C6711yescharacteristic
1272C2×C22⋊C4D4×C6711yescharacteristic
1273C2×C42—21no—
1274C2×C42—21no—
1275C2×C42—21no—
1276C2×C42C23×C6711yescharacteristic
1277#107C23×C6711yescharacteristic
1278#107C23×C6711yescharacteristic
1279#107C23×C6711yescharacteristic
1280#107C23×C6711yescharacteristic
1281#107C23×C6711yescharacteristic
1282#107C23×C6711yescharacteristic
1283#107C23×C6711yescharacteristic
1284#107C23×C6711yescharacteristic
1285#107C23×C6711yescharacteristic
1286#107C23×C6711yescharacteristic
1287#107C23×C6711yescharacteristic
1288#107C23×C6711yescharacteristic
1289#106C23×C6711yescharacteristic
1290#106C23×C6711yescharacteristic
1291#106C23×C6711yescharacteristic
1292#106C23×C6711yescharacteristic
1293#106C23×C6711yescharacteristic
1294#106C23×C6711yescharacteristic
1295#106C23×C6711yescharacteristic
1296#106C23×C6711yescharacteristic
1297#106C23×C6711yescharacteristic
1298#106C23×C6711yescharacteristic
1299#106C23×C6711yescharacteristic
1300#106C23×C6711yescharacteristic
1301C4⋊C8C23×C6711yescharacteristic
1302C4⋊C8C23×C6711yescharacteristic
1303C4⋊C8C23×C6711yescharacteristic
1304C4⋊C8C23×C6711yescharacteristic
1305#103C23×C6711yescharacteristic
1306#103C23×C6711yescharacteristic
1307#103C23×C6711yescharacteristic
1308#103C23×C6711yescharacteristic
1309#103C23×C6711yescharacteristic
1310#103C23×C6711yescharacteristic
1311#103C23×C6711yescharacteristic
1312#103C23×C6711yescharacteristic
1313#103C23×C6711yescharacteristic
1314#103C23×C6711yescharacteristic
1315#102C23×C6711yescharacteristic
1316#102C23×C6711yescharacteristic
1317#102C23×C6711yescharacteristic
1318#102C23×C6711yescharacteristic
1319#102C23×C6711yescharacteristic
1320#102C23×C6711yescharacteristic
1321#102C23×C6711yescharacteristic
1322#102C23×C6711yescharacteristic
1323#102C23×C6711yescharacteristic
1324#102C23×C6711yescharacteristic
1325#102C23×C6711yescharacteristic
1326#102C23×C6711yescharacteristic
1327#102C23×C6711yescharacteristic
1328#102C23×C6711yescharacteristic
1329#102C23×C6711yescharacteristic
1330#102C23×C6711yescharacteristic
1331#102C23×C6711yescharacteristic
1332#102C23×C6711yescharacteristic
1333#102C23×C6711yescharacteristic
1334#102C23×C6711yescharacteristic
1335#102C23×C6711yescharacteristic
1336#102C23×C6711yescharacteristic
1337C22⋊C8C23×C6711yescharacteristic
1338C22⋊C8C23×C6711yescharacteristic
1339C22⋊C8C23×C6711yescharacteristic
1340C22⋊C8C23×C6711yescharacteristic
1341C22⋊C8C23×C6711yescharacteristic
1342C22⋊C8C23×C6711yescharacteristic
1343C22⋊C8C23×C6711yescharacteristic
1344C22⋊C8C23×C6711yescharacteristic
1345C22⋊C8C23×C6711yescharacteristic
1346C22⋊C8C23×C6711yescharacteristic
1347C22⋊C8C23×C6711yescharacteristic
1348C22⋊C8C23×C6711yescharacteristic
1349#97C23×C6711yescharacteristic
1350#97C23×C6711yescharacteristic
1351#97C23×C6711yescharacteristic
1352#97C23×C6711yescharacteristic
1353C24—21no—
1354C24—21no—
1355C24C2×D4×C6711yescharacteristic
1356C24C2×D4×C6711yescharacteristic
1357#41—41no—
1358#41—41no—
1359#41—41no—
1360#41—41no—
1361#41—41no—
1362#41—41no—
1363#41—44no—
1364#41—82no—
1365C2×Q8—21no—
1366C2×Q8—21no—
1367C2×Q8—21no—
1368C2×Q8C24×C6711yescharacteristic
1369C2×Q8C24×C6711yescharacteristic
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—41no—
1391C2×D4—41no—
1392C2×D4—41no—
1393C2×D4—41no—
1394C2×D4—42no—
1395C2×D4—44no—
1396C2×D4—82no—
1397C2×D4—82no—
1398C2×D4C2×D4×C6711yescharacteristic
1399C2×D4C2×D4×C6711yescharacteristic
1400C2×D4C2×D4×C6711yescharacteristic
1401C2×D4C2×D4×C6711yescharacteristic
1402C2×D4C24×C6711yescharacteristic
1403C2×D4C24×C6711yescharacteristic
1404C2×D4C24×C6711yescharacteristic
1405C2×D4C24×C6711yescharacteristic
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—41no—
1421C22×C4—41no—
1422C22×C4—41no—
1423C22×C4—41no—
1424C22×C4C2×D4×C6711yescharacteristic
1425C22×C4C2×D4×C6711yescharacteristic
1426C22×C4C2×D4×C6711yescharacteristic
1427C22×C4C2×D4×C6711yescharacteristic
1428C22×C4C2×D4×C6711yescharacteristic
1429C22×C4C2×D4×C6711yescharacteristic
1430C22×C4C2×D4×C6711yescharacteristic
1431C22×C4C2×D4×C6711yescharacteristic
1432C22×C4C24×C6711yescharacteristic
1433C22×C4C24×C6711yescharacteristic
1434C22×C4C24×C6711yescharacteristic
1435C22×C4C24×C6711yescharacteristic
1436C22×C4C24×C6711yescharacteristic
1437Q16—41no—
1438SD16—41no—
1439SD16—41no—
1440SD16—41no—
1441SD16—41no—
1442D8—41no—
1443D8—41no—
1444D8—41no—
1445M16—41no—
1446M16—41no—
1447M16—41no—
1448M16—41no—
1449C2×C8—41no—
1450C2×C8—41no—
1451C2×C8—41no—
1452C2×C8—41no—
1453C2×C8C24×C6711yescharacteristic
1454C2×C8C24×C6711yescharacteristic
1455C2×C8C24×C6711yescharacteristic
1456C2×C8C24×C6711yescharacteristic
1457C2×C8C24×C6711yescharacteristic
1458C2×C8C24×C6711yescharacteristic
1459C2×C8C24×C6711yescharacteristic
1460C2×C8C24×C6711yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊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⋊C4C2×D4×C6711yescharacteristic
1487C4⋊C4C2×D4×C6711yescharacteristic
1488C4⋊C4C2×D4×C6711yescharacteristic
1489C4⋊C4C2×D4×C6711yescharacteristic
1490C4⋊C4C24×C6711yescharacteristic
1491C4⋊C4C24×C6711yescharacteristic
1492C4⋊C4C24×C6711yescharacteristic
1493C4⋊C4C24×C6711yescharacteristic
1494C4⋊C4C24×C6711yescharacteristic
1495C4⋊C4C24×C6711yescharacteristic
1496C4⋊C4C24×C6711yescharacteristic
1497C4⋊C4C24×C6711yescharacteristic
1498C4⋊C4C24×C6711yescharacteristic
1499C4⋊C4C24×C6711yescharacteristic
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊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⋊C4C2×D4×C6711yescharacteristic
1537C22⋊C4C2×D4×C6711yescharacteristic
1538C22⋊C4C2×D4×C6711yescharacteristic
1539C22⋊C4C2×D4×C6711yescharacteristic
1540C22⋊C4C2×D4×C6711yescharacteristic
1541C22⋊C4C2×D4×C6711yescharacteristic
1542C22⋊C4C2×D4×C6711yescharacteristic
1543C22⋊C4C2×D4×C6711yescharacteristic
1544C42—21no—
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—21no—
1549C42—21no—
1550C42—21no—
1551C42—21no—
1552C42—21no—
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42C2×D4×C6711yescharacteristic
1557C42C2×D4×C6711yescharacteristic
1558C42C24×C6711yescharacteristic
1559C42C24×C6711yescharacteristic
1560C23—22no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—41no—
1566C23—41no—
1567C23—41no—
1568C23—41no—
1569C23—41no—
1570C23—42no—
1571C23—42no—
1572C23—81no—
1573C23—81no—
1574C23—81no—
1575C23—81no—
1576C23C22×D4×C6711yescharacteristic
1577C23C22×D4×C6711yescharacteristic
1578C23C22×D4×C6711yescharacteristic
1579C23C22×D4×C6711yescharacteristic
1580C23C22×D4×C6711yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—42no—
1586Q8—81no—
1587Q8—81no—
1588D4—22no—
1589D4—22no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—41no—
1599D4—41no—
1600D4—42no—
1601D4—42no—
1602D4—42no—
1603D4—42no—
1604D4—42no—
1605D4—42no—
1606D4—42no—
1607D4—42no—
1608D4—42no—
1609D4—81no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—81no—
1615D4—81no—
1616D4—81no—
1617D4—81no—
1618D4—81no—
1619D4—81no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—42no—
1651C2×C4—42no—
1652C2×C4—42no—
1653C2×C4—42no—
1654C2×C4—42no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4—81no—
1662C2×C4—81no—
1663C2×C4—81no—
1664C2×C4C22×D4×C6711yescharacteristic
1665C2×C4C22×D4×C6711yescharacteristic
1666C2×C4C22×D4×C6711yescharacteristic
1667C2×C4C22×D4×C6711yescharacteristic
1668C2×C4C22×D4×C6711yescharacteristic
1669C2×C4C22×D4×C6711yescharacteristic
1670C2×C4C22×D4×C6711yescharacteristic
1671C2×C4C22×D4×C6711yescharacteristic
1672C2×C4C22×D4×C6711yescharacteristic
1673C2×C4C25×C6711yescharacteristic
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—21no—
1678C8—21no—
1679C8—21no—
1680C8—21no—
1681C8—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—21no—
1688C22—21no—
1689C22—21no—
1690C22—21no—
1691C22—21no—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—82no—
1709C22—82no—
1710C22—162no—
1711C22—162no—
1712C22#575×C6712yes—
1713C22C23×D4×C6711yescharacteristic
1714C4—21no—
1715C4—21no—
1716C4—21no—
1717C4—21no—
1718C4—21no—
1719C4—21no—
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4#585×C6711yescharacteristic
1736C4#585×C6711yescharacteristic
1737C2—22no—
1738C2—41no—
1739C2—41no—
1740C2—41no—
1741C2—41no—
1742C2—81no—
1743C2—81no—
1744C2—81no—
1745C2—81no—
1746C2C67×#348511yescharacteristic
1747C2C2×#575×C6711yescharacteristic
1748C2C67×#358511yescharacteristic
subgroupG/H
center, socleC22×C67C23×D4
commutator, Frattini, cosocleC2×C4C25×C67
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C67 ◁ C2×C4×D4×C67 ◁ G

Complements

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

NH ≅ G/Ntype
1. C67×#3519C2semidirect
2. C67×#3475C2semidirect
3. C67×#3350C2semidirect
4. C67×#3348C2semidirect
5. C67×#3347C2semidirect
6. C67×#3347C2semidirect
7. C67×#3346C2semidirect
8. C67×#3346C2semidirect
9. C67×#3345C2semidirect
10. C67×#3344C2semidirect
11. C67×#3319C2semidirect
12. C67×#3318C2semidirect
13. C67×#3317C2semidirect
14. C67×#3314C2semidirect
15. C67×#3311C2semidirect
16. C67×#3310C2semidirect
17. C67×#3309C2semidirect
18. C67×#3306C2semidirect
19. C67×#3240C2semidirect
20. C67×#3235C2semidirect
21. C67×#3197C2semidirect
22. C67×#3194C2semidirect
23. C67×#3191C2semidirect
24. C67×#3188C2semidirect
25. C67×#3115C2semidirect
26. C67×#3111C2semidirect
27. C67×#3094C2semidirect
28. C67×#3093C2semidirect
29. C67×#3091C2semidirect
30. C2×#482×C67C2semidirect
31. C67×#2973C2semidirect
32. #556×C67C22semidirect
34. #555×C67C22semidirect
36. #554×C67C22semidirect
41. #553×C67C22semidirect
44. #552×C67C22semidirect
48. #547×C67C22semidirect
59. #533×C67C22semidirect
67. #525×C67C22semidirect
68. #525×C67C22semidirect
73. C4×#41×C67C22semidirect
75. C2×#117×C67C22semidirect
76. C2×#117×C67C22semidirect
77. #501×C67C22semidirect
78. #501×C67C22semidirect
79. #501×C67C22semidirect
80. #501×C67C22semidirect
81. #490×C67C22semidirect
82. #490×C67C22semidirect
83. #489×C67C22semidirect
84. #489×C67C22semidirect
85. #485×C67C22semidirect
86. #485×C67C22semidirect
87. #485×C67C22semidirect
88. #485×C67C22semidirect
89. #485×C67C22semidirect
90. #485×C67C22semidirect
91. #485×C67C22semidirect
92. #484×C67C22semidirect
93. #484×C67C22semidirect
94. #483×C67C22semidirect
95. #483×C67C22semidirect
99. #482×C67C22semidirect
100. #482×C67C22semidirect
101. #482×C67C22semidirect
102. #482×C67C22semidirect
103. #482×C67C22semidirect
104. #482×C67C22semidirect
105. #482×C67C22semidirect
106. #482×C67C22semidirect
107. #482×C67C22semidirect
108. #482×C67C22semidirect
109. #482×C67C22semidirect
110. #482×C67C22semidirect
111. #482×C67C22semidirect
112. #482×C67C22semidirect
113. #481×C67C22semidirect
114. #481×C67C22semidirect
115. #481×C67C22semidirect
116. #481×C67C22semidirect
117. #480×C67C22semidirect
118. #480×C67C22semidirect
119. #480×C67C22semidirect
120. #480×C67C22semidirect
121. #479×C67C22semidirect
122. #479×C67C22semidirect
123. #479×C67C22semidirect
124. #478×C67C22semidirect
125. #478×C67C22semidirect
126. #478×C67C22semidirect
127. #476×C67C22semidirect
128. #476×C67C22semidirect
129. #475×C67C22semidirect
130. #474×C67C22semidirect
131. #474×C67C22semidirect
132. #474×C67C22semidirect
133. #470×C67C22semidirect
134. #469×C67C22semidirect
135. #469×C67C22semidirect
136. #469×C67C22semidirect
137. #468×C67C22semidirect
138. #468×C67C22semidirect
139. #468×C67C22semidirect
140. #468×C67C22semidirect
141. #467×C67C22semidirect
142. #466×C67C22semidirect
143. #466×C67C22semidirect
144. #466×C67C22semidirect
145. #465×C67C22semidirect
146. #465×C67C22semidirect
147. #465×C67C22semidirect
148. #465×C67C22semidirect
149. #464×C67C22semidirect
150. #463×C67C22semidirect
151. #460×C67C22semidirect
152. #459×C67C22semidirect
153. #452×C67C22semidirect
154. #452×C67C22semidirect
155. #452×C67C22semidirect
156. #450×C67C22semidirect
157. #450×C67C22semidirect
159. #449×C67C22semidirect
160. #449×C67C22semidirect
161. #449×C67C22semidirect
162. #449×C67C22semidirect
163. #447×C67C22semidirect
164. #447×C67C22semidirect
165. #442×C67C22semidirect
166. #442×C67C22semidirect
167. #442×C67C22semidirect
168. #441×C67C22semidirect
169. #440×C67C22semidirect
170. #440×C67C22semidirect
171. #440×C67C22semidirect
172. #440×C67C22semidirect
175. #435×C67C22semidirect
176. #435×C67C22semidirect
177. #435×C67C22semidirect
178. #435×C67C22semidirect
179. #435×C67C22semidirect
180. #435×C67C22semidirect
181. #432×C67C22semidirect
182. #432×C67C22semidirect
183. #428×C67C22semidirect
184. #428×C67C22semidirect
185. #428×C67C22semidirect
186. #428×C67C22semidirect
187. #427×C67C22semidirect
188. #427×C67C22semidirect
189. C2×#107×C67C22semidirect
190. C2×#106×C67C22semidirect
191. #418×C67C22semidirect
192. #418×C67C22semidirect
193. #417×C67C22semidirect
194. #417×C67C22semidirect
195. #416×C67C22semidirect
196. #416×C67C22semidirect
197. C2×#102×C67C22semidirect
198. C2×#102×C67C22semidirect
199. #407×C67C22semidirect
200. #407×C67C22semidirect
201. C2×C22⋊C8×C67C22semidirect
202. C2×C22⋊C8×C67C22semidirect
862. #61714C67direct (N × H)
875. #3519C2×C67semidirect
876. #3475C2×C67semidirect
877. #3350C2×C67semidirect
878. #3348C2×C67semidirect
879. #3347C2×C67semidirect
880. #3347C2×C67semidirect
881. #3346C2×C67semidirect
882. #3346C2×C67semidirect
883. #3345C2×C67semidirect
884. #3344C2×C67semidirect
885. #3319C2×C67semidirect
886. #3318C2×C67semidirect
887. #3317C2×C67semidirect
888. #3314C2×C67semidirect
889. #3311C2×C67semidirect
890. #3310C2×C67semidirect
891. #3309C2×C67semidirect
892. #3306C2×C67semidirect
893. #3240C2×C67semidirect
894. #3235C2×C67semidirect
895. #3197C2×C67semidirect
896. #3194C2×C67semidirect
897. #3191C2×C67semidirect
898. #3188C2×C67semidirect
899. #3115C2×C67semidirect
900. #3111C2×C67semidirect
901. #3094C2×C67semidirect
902. #3093C2×C67semidirect
903. #3091C2×C67semidirect
904. C2×#482C2×C67semidirect
905. #2973C2×C67semidirect
906. C67#61714direct (N × H)
907. #556C22×C67semidirect
909. #555C22×C67semidirect
911. #554C22×C67semidirect
916. #553C22×C67semidirect
919. #552C22×C67semidirect
923. #547C22×C67semidirect
934. #533C22×C67semidirect
942. #525C22×C67semidirect
943. #525C22×C67semidirect
948. C4×#41C22×C67semidirect
950. C2×#117C22×C67semidirect
951. C2×#117C22×C67semidirect
952. #501C22×C67semidirect
953. #501C22×C67semidirect
954. #501C22×C67semidirect
955. #501C22×C67semidirect
956. #490C22×C67semidirect
957. #490C22×C67semidirect
958. #489C22×C67semidirect
959. #489C22×C67semidirect
960. #485C22×C67semidirect
961. #485C22×C67semidirect
962. #485C22×C67semidirect
963. #485C22×C67semidirect
964. #485C22×C67semidirect
965. #485C22×C67semidirect
966. #485C22×C67semidirect
967. #484C22×C67semidirect
968. #484C22×C67semidirect
969. #483C22×C67semidirect
970. #483C22×C67semidirect
974. #482C22×C67semidirect
975. #482C22×C67semidirect
976. #482C22×C67semidirect
977. #482C22×C67semidirect
978. #482C22×C67semidirect
979. #482C22×C67semidirect
980. #482C22×C67semidirect
981. #482C22×C67semidirect
982. #482C22×C67semidirect
983. #482C22×C67semidirect
984. #482C22×C67semidirect
985. #482C22×C67semidirect
986. #482C22×C67semidirect
987. #482C22×C67semidirect
988. #481C22×C67semidirect
989. #481C22×C67semidirect
990. #481C22×C67semidirect
991. #481C22×C67semidirect
992. #480C22×C67semidirect
993. #480C22×C67semidirect
994. #480C22×C67semidirect
995. #480C22×C67semidirect
996. #479C22×C67semidirect
997. #479C22×C67semidirect
998. #479C22×C67semidirect
999. #478C22×C67semidirect
1000. #478C22×C67semidirect
1001. #478C22×C67semidirect
1002. #476C22×C67semidirect
1003. #476C22×C67semidirect
1004. #475C22×C67semidirect
1005. #474C22×C67semidirect
1006. #474C22×C67semidirect
1007. #474C22×C67semidirect
1008. #470C22×C67semidirect
1009. #469C22×C67semidirect
1010. #469C22×C67semidirect
1011. #469C22×C67semidirect
1012. #468C22×C67semidirect
1013. #468C22×C67semidirect
1014. #468C22×C67semidirect
1015. #468C22×C67semidirect
1016. #467C22×C67semidirect
1017. #466C22×C67semidirect
1018. #466C22×C67semidirect
1019. #466C22×C67semidirect
1020. #465C22×C67semidirect
1021. #465C22×C67semidirect
1022. #465C22×C67semidirect
1023. #465C22×C67semidirect
1024. #464C22×C67semidirect
1025. #463C22×C67semidirect
1026. #460C22×C67semidirect
1027. #459C22×C67semidirect
1028. #452C22×C67semidirect
1029. #452C22×C67semidirect
1030. #452C22×C67semidirect
1031. #450C22×C67semidirect
1032. #450C22×C67semidirect
1034. #449C22×C67semidirect
1035. #449C22×C67semidirect
1036. #449C22×C67semidirect
1037. #449C22×C67semidirect
1038. #447C22×C67semidirect
1039. #447C22×C67semidirect
1040. #442C22×C67semidirect
1041. #442C22×C67semidirect
1042. #442C22×C67semidirect
1043. #441C22×C67semidirect
1044. #440C22×C67semidirect
1045. #440C22×C67semidirect
1046. #440C22×C67semidirect
1047. #440C22×C67semidirect
1050. #435C22×C67semidirect
1051. #435C22×C67semidirect
1052. #435C22×C67semidirect
1053. #435C22×C67semidirect
1054. #435C22×C67semidirect
1055. #435C22×C67semidirect
1056. #432C22×C67semidirect
1057. #432C22×C67semidirect
1058. #428C22×C67semidirect
1059. #428C22×C67semidirect
1060. #428C22×C67semidirect
1061. #428C22×C67semidirect
1062. #427C22×C67semidirect
1063. #427C22×C67semidirect
1064. C2×#107C22×C67semidirect
1065. C2×#106C22×C67semidirect
1066. #418C22×C67semidirect
1067. #418C22×C67semidirect
1068. #417C22×C67semidirect
1069. #417C22×C67semidirect
1070. #416C22×C67semidirect
1071. #416C22×C67semidirect
1072. C2×#102C22×C67semidirect
1073. C2×#102C22×C67semidirect
1074. #407C22×C67semidirect
1075. #407C22×C67semidirect
1076. C2×C22⋊C8C22×C67semidirect
1077. C2×C22⋊C8C22×C67semidirect

Maximal subgroups

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

subgroupindex
C67×#35192
C67×#34752
C67×#33502
C67×#33482
C67×#33472
C67×#33462
C67×#33452
C67×#33442
C67×#33192
C67×#33182
C67×#33172
C67×#33142
C67×#33112
C67×#33102
C67×#33092
C67×#33062
C67×#32402
C67×#32352
C67×#31972
C67×#31942
C67×#31912
C67×#31882
C67×#31152
C67×#31112
C67×#30942
C67×#30932
C67×#30912
C2×#482×C672
C67×#29732
#6171467