Finite Group Databasebeta

← C67×#61741 #30740992

Subgroups — C67×#61741 #30740992

Order 17152.

1776 conjugacy classes of subgroups.

The subgroup lattice has 1718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3505C211yesmaximal, characteristic, complemented
2C67×#3475C211yesmaximal, characteristic, complemented
3C67×#3352C211yesmaximal, characteristic, complemented
4C67×#3351C211yesmaximal, characteristic, complemented
5C67×#3349C211yesmaximal, characteristic, complemented
6C67×#3348C211yesmaximal, characteristic, complemented
7C67×#3346C211yesmaximal, characteristic, complemented
8C67×#3345C211yesmaximal, characteristic, complemented
9C67×#3339C211yesmaximal, characteristic, complemented
10C67×#3337C211yesmaximal, characteristic, complemented
11C67×#3323C211yesmaximal, characteristic, complemented
12C67×#3322C211yesmaximal, characteristic, complemented
13C67×#3319C211yesmaximal, characteristic, complemented
14C67×#3316C211yesmaximal, characteristic, complemented
15C67×#3311C211yesmaximal, characteristic, complemented
16C67×#3308C211yesmaximal, characteristic, complemented
17C67×#3301C211yesmaximal, characteristic, complemented
18C67×#3300C211yesmaximal, characteristic, complemented
19C67×#3240C211yesmaximal, characteristic, complemented
20C67×#3233C211yesmaximal, characteristic, complemented
21C67×#3197C211yesmaximal, characteristic, complemented
22C67×#3196C211yesmaximal, characteristic, complemented
23C67×#3191C211yesmaximal, characteristic, complemented
24C67×#3188C211yesmaximal, characteristic, complemented
25C67×#3111C211yesmaximal, characteristic, complemented
26C67×#3102C211yesmaximal, characteristic, complemented
27C67×#3094C211yesmaximal, characteristic, complemented
28C67×#3093C211yesmaximal, characteristic, complemented
29C67×#3091C211yesmaximal, characteristic, complemented
30C2×#485×C67C211yesmaximal, characteristic, complemented
31C67×#2974C211yesmaximal, characteristic, complemented
32#556×C67C2211yescharacteristic
33#555×C67C2211yescharacteristic
34#554×C67C2211yescharacteristic, complemented
35#553×C67—21no—
36#553×C67—21no—
37#553×C67C2211yescharacteristic
38#553×C67C2211yescharacteristic
39#553×C67C2211yescharacteristic
40#553×C67C2211yescharacteristic, complemented
41#552×C67—21no—
42#552×C67C2211yescharacteristic
43#552×C67C2211yescharacteristic
44#552×C67C2211yescharacteristic
45#552×C67C2211yescharacteristic, complemented
46#551×C67—21no—
47#551×C67—21no—
48#551×C67—21no—
49#551×C67—21no—
50#548×C67C2211yescharacteristic
51#548×C67C2211yescharacteristic
52#547×C67C2211yescharacteristic, complemented
53#546×C67—21no—
54#546×C67C2211yescharacteristic
55#546×C67C2211yescharacteristic
56#539×C67—21no—
57#538×C67—21no—
58#534×C67—21no—
59#533×C67C2211yescharacteristic, complemented
60#529×C67—21no—
61#529×C67—21no—
62#529×C67—21no—
63#529×C67C2211yescharacteristic
64#529×C67C2211yescharacteristic
65#525×C67C2211yescharacteristic
66#525×C67C2211yescharacteristic
67#525×C67C2211yescharacteristic
68#525×C67C2211yescharacteristic, complemented
69C2×C22⋊Q8×C67C2211yescharacteristic
70C2×#121×C67C2211yescharacteristic
71#518×C67—21no—
72C4×#41×C67—21no—
73C4×#41×C67C2211yescharacteristic, complemented
74C2×C4×D4×C67C2211yescharacteristic
75C2×#117×C67C2211yescharacteristic
76C2×#117×C67C2211yescharacteristic, complemented
77#501×C67C2211yescharacteristic, complemented
78#501×C67C2211yescharacteristic, complemented
79#499×C67C2211yescharacteristic, complemented
80#499×C67C2211yescharacteristic, complemented
81#489×C67C2211yescharacteristic, complemented
82#489×C67C2211yescharacteristic, complemented
83#488×C67C2211yescharacteristic, complemented
84#488×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#485×C67C2211yescharacteristic, complemented
93#485×C67C2211yescharacteristic, complemented
94#485×C67C2211yescharacteristic, complemented
95#485×C67C2211yescharacteristic, complemented
96#485×C67C2211yescharacteristic, complemented
97#485×C67C2211yescharacteristic, complemented
98#485×C67C2211yescharacteristic, complemented
99#484×C67C2211yescharacteristic, complemented
100#484×C67C2211yescharacteristic, complemented
101#484×C67C2211yescharacteristic, complemented
102#483×C67C2211yescharacteristic, complemented
103#482×C67C2211yescharacteristic
104#482×C67C2211yescharacteristic
105#482×C67C2211yescharacteristic
106#482×C67C2211yescharacteristic
107#482×C67C2211yescharacteristic
108#482×C67C2211yescharacteristic
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#481×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#479×C67C2211yescharacteristic, complemented
125#478×C67C2211yescharacteristic, complemented
126#478×C67C2211yescharacteristic, complemented
127#478×C67C2211yescharacteristic, complemented
128#478×C67C2211yescharacteristic, complemented
129#477×C67C2211yescharacteristic, complemented
130#476×C67C2211yescharacteristic, complemented
131#475×C67C2211yescharacteristic, complemented
132#474×C67C2211yescharacteristic, complemented
133#470×C67C2211yescharacteristic, complemented
134#470×C67C2211yescharacteristic, complemented
135#470×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#464×C67C2211yescharacteristic, complemented
151#463×C67C2211yescharacteristic, complemented
152#463×C67C2211yescharacteristic, complemented
153#452×C67C2211yescharacteristic, complemented
154#452×C67C2211yescharacteristic, complemented
155#452×C67C2211yescharacteristic, complemented
156#452×C67C2211yescharacteristic, complemented
157#451×C67C2211yescharacteristic, complemented
158#450×C67C2211yescharacteristic, complemented
159#449×C67C2211yescharacteristic
160#449×C67C2211yescharacteristic
161#449×C67C2211yescharacteristic, complemented
162#449×C67C2211yescharacteristic, complemented
163#448×C67C2211yescharacteristic, complemented
164#447×C67C2211yescharacteristic, complemented
165#442×C67C2211yescharacteristic, complemented
166#441×C67C2211yescharacteristic, complemented
167#440×C67C2211yescharacteristic, complemented
168#440×C67C2211yescharacteristic, complemented
169C4×Q16×C67C2211yescharacteristic, complemented
170C4×SD16×C67C2211yescharacteristic, complemented
171C4×SD16×C67C2211yescharacteristic, complemented
172C4×D8×C67C2211yescharacteristic, complemented
173#436×C67C2211yescharacteristic
174#436×C67C2211yescharacteristic
175#435×C67C2211yescharacteristic
176#435×C67C2211yescharacteristic
177#435×C67C2211yescharacteristic, complemented
178#435×C67C2211yescharacteristic, complemented
179C8×D4×C67C2211yescharacteristic, complemented
180C8×D4×C67C2211yescharacteristic, complemented
181#432×C67C2211yescharacteristic, complemented
182#431×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×#103×C67C2211yescharacteristic, complemented
198C2×#103×C67C2211yescharacteristic, complemented
199#407×C67C2211yescharacteristic
200#407×C67C2211yescharacteristic, complemented
201C2×C22⋊C8×C67C2211yescharacteristic
202C2×C22⋊C8×C67C2211yescharacteristic, complemented
203C2×#41×C67—21no—
204C2×#41×C67C2311yescharacteristic
205C2×#41×C67C2311yescharacteristic
206C2×#41×C67C2311yescharacteristic
207C22×Q8×C67C2311yescharacteristic
208C22×D4×C67—21no—
209C22×D4×C67D411yescharacteristic
210C22×D4×C67C2311yescharacteristic
211C23×C4×C67C2311yescharacteristic
212C23×C4×C67C2311yescharacteristic
213C2×Q16×C67C2311yescharacteristic
214C2×Q16×C67C2311yescharacteristic
215C2×SD16×C67C2311yescharacteristic
216C2×SD16×C67C2311yescharacteristic
217C2×SD16×C67C2311yescharacteristic
218C2×SD16×C67C2311yescharacteristic
219C2×D8×C67C2311yescharacteristic
220C2×D8×C67C2311yescharacteristic
221C2×M16×C67C2311yescharacteristic
222C2×M16×C67C2311yescharacteristic
223C2×M16×C67C2311yescharacteristic
224C2×M16×C67C2311yescharacteristic
225C22×C8×C67C2311yescharacteristic
226C22×C8×C67C2311yescharacteristic
227C22×C8×C67C2311yescharacteristic
228C22×C8×C67C2311yescharacteristic
229C4⋊Q8×C67C2311yescharacteristic
230C4⋊Q8×C67C2311yescharacteristic
231#126×C67—21no—
232#126×C67—21no—
233#126×C67—21no—
234#126×C67—21no—
235#126×C67—21no—
236#126×C67—21no—
237#126×C67—21no—
238#126×C67—21no—
239#126×C67—21no—
240#126×C67—21no—
241#126×C67—21no—
242#126×C67—21no—
243#125×C67—21no—
244#125×C67—21no—
245#125×C67—21no—
246#125×C67—21no—
247#125×C67—21no—
248#125×C67C2311yescharacteristic
249#125×C67C2311yescharacteristic
250#125×C67C2311yescharacteristic
251#125×C67C2311yescharacteristic
252#124×C67—21no—
253#124×C67—21no—
254#124×C67—21no—
255#124×C67—21no—
256#124×C67—21no—
257#124×C67C2311yescharacteristic
258#124×C67C2311yescharacteristic
259#123×C67—21no—
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—
275#123×C67—21no—
276#123×C67—21no—
277C22⋊Q8×C67—21no—
278C22⋊Q8×C67—21no—
279C22⋊Q8×C67—21no—
280C22⋊Q8×C67—21no—
281C22⋊Q8×C67—21no—
282C22⋊Q8×C67—21no—
283C22⋊Q8×C67—21no—
284C22⋊Q8×C67—21no—
285C22⋊Q8×C67—21no—
286C22⋊Q8×C67C2311yescharacteristic
287C22⋊Q8×C67C2311yescharacteristic
288C22⋊Q8×C67C2311yescharacteristic
289C22⋊Q8×C67C2311yescharacteristic
290C22⋊Q8×C67C2311yescharacteristic
291C22⋊Q8×C67C2311yescharacteristic
292C22⋊Q8×C67C2311yescharacteristic
293C22⋊Q8×C67C2311yescharacteristic
294C22⋊Q8×C67C2311yescharacteristic
295C22⋊Q8×C67C2311yescharacteristic
296#121×C67—21no—
297#121×C67—21no—
298#121×C67—21no—
299#121×C67—21no—
300#121×C67—21no—
301#121×C67—21no—
302#121×C67—21no—
303#121×C67—21no—
304#121×C67—21no—
305#121×C67—21no—
306#121×C67—21no—
307#121×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#120×C67—21no—
318#120×C67—21no—
319#120×C67—21no—
320#120×C67—21no—
321#120×C67—21no—
322#120×C67—21no—
323C4×Q8×C67—21no—
324C4×Q8×C67—21no—
325C4×Q8×C67—21no—
326C4×Q8×C67C2311yescharacteristic
327C4×Q8×C67C2311yescharacteristic
328C4×Q8×C67C2311yescharacteristic
329C4×Q8×C67C2311yescharacteristic
330C4×D4×C67—21no—
331C4×D4×C67—21no—
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×C67D411yescharacteristic
350C4×D4×C67D411yescharacteristic
351C4×D4×C67D411yescharacteristic
352C4×D4×C67D411yescharacteristic
353C4×D4×C67C2311yescharacteristic
354C4×D4×C67C2311yescharacteristic
355C4×D4×C67C2311yescharacteristic
356C4×D4×C67C2311yescharacteristic
357C4×D4×C67C2311yescharacteristic
358C4×D4×C67C2311yescharacteristic
359C4×D4×C67C2311yescharacteristic
360C4×D4×C67C2311yescharacteristic
361#117×C67—21no—
362#117×C67—21no—
363#117×C67—21no—
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×C67C2311yescharacteristic
374#117×C67C2311yescharacteristic
375#117×C67C2311yescharacteristic
376#117×C67C2311yescharacteristic
377#117×C67C2311yescharacteristic
378#117×C67C2311yescharacteristic
379#117×C67C2311yescharacteristic
380#117×C67C2311yescharacteristic
381#117×C67C2311yescharacteristic
382C2×C4⋊C4×C67—21no—
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#103×C67C2311yescharacteristic
441#103×C67C2311yescharacteristic
442#103×C67C2311yescharacteristic
443#103×C67C2311yescharacteristic
444#103×C67C2311yescharacteristic
445#103×C67C2311yescharacteristic
446#102×C67C2311yescharacteristic
447#102×C67C2311yescharacteristic
448#102×C67C2311yescharacteristic
449#102×C67C2311yescharacteristic
450#102×C67C2311yescharacteristic
451#102×C67C2311yescharacteristic
452#102×C67C2311yescharacteristic
453#102×C67C2311yescharacteristic
454#102×C67C2311yescharacteristic
455#102×C67C2311yescharacteristic
456#102×C67C2311yescharacteristic
457#102×C67C2311yescharacteristic
458#102×C67C2311yescharacteristic
459#102×C67C2311yescharacteristic
460#102×C67C2311yescharacteristic
461#102×C67C2311yescharacteristic
462C22⋊C8×C67C2311yescharacteristic
463C22⋊C8×C67C2311yescharacteristic
464C22⋊C8×C67C2311yescharacteristic
465C22⋊C8×C67C2311yescharacteristic
466C22⋊C8×C67C2311yescharacteristic
467C22⋊C8×C67C2311yescharacteristic
468C22⋊C8×C67C2311yescharacteristic
469C22⋊C8×C67C2311yescharacteristic
470C22⋊C8×C67C2311yescharacteristic
471C22⋊C8×C67C2311yescharacteristic
472C22⋊C8×C67C2311yescharacteristic
473C22⋊C8×C67C2311yescharacteristic
474#97×C67C2311yescharacteristic
475#97×C67C2311yescharacteristic
476C4×C8×C67C2311yescharacteristic
477C4×C8×C67C2311yescharacteristic
478C24×C67—21no—
479C24×C67C2×D411yescharacteristic
480C24×C67C2×D411yescharacteristic
481#41×C67—41no—
482#41×C67—41no—
483#41×C67—41no—
484#41×C67—41no—
485#41×C67—41no—
486#41×C67—41no—
487#41×C67—44no—
488C2×Q8×C67—21no—
489C2×Q8×C67—21no—
490C2×Q8×C67—21no—
491C2×Q8×C67—41no—
492C2×Q8×C67—41no—
493C2×Q8×C67C2411yescharacteristic
494C2×Q8×C67C2411yescharacteristic
495C2×Q8×C67C2411yescharacteristic
496C2×D4×C67—21no—
497C2×D4×C67—21no—
498C2×D4×C67—21no—
499C2×D4×C67—21no—
500C2×D4×C67—21no—
501C2×D4×C67—21no—
502C2×D4×C67—21no—
503C2×D4×C67—21no—
504C2×D4×C67—21no—
505C2×D4×C67—21no—
506C2×D4×C67—21no—
507C2×D4×C67—21no—
508C2×D4×C67—21no—
509C2×D4×C67—21no—
510C2×D4×C67—41no—
511C2×D4×C67—41no—
512C2×D4×C67—42no—
513C2×D4×C67—44no—
514C2×D4×C67C2×D411yescharacteristic
515C2×D4×C67C2×D411yescharacteristic
516C2×D4×C67C2×D411yescharacteristic
517C2×D4×C67C2×D411yescharacteristic
518C2×D4×C67C2411yescharacteristic
519C2×D4×C67C2411yescharacteristic
520C2×D4×C67C2411yescharacteristic
521C22×C4×C67—21no—
522C22×C4×C67—21no—
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—41no—
536C22×C4×C67—41no—
537C22×C4×C67—41no—
538C22×C4×C67—41no—
539C22×C4×C67C2×D411yescharacteristic
540C22×C4×C67C2×D411yescharacteristic
541C22×C4×C67C2×D411yescharacteristic
542C22×C4×C67C2×D411yescharacteristic
543C22×C4×C67C2×D411yescharacteristic
544C22×C4×C67C2×D411yescharacteristic
545C22×C4×C67C2×D411yescharacteristic
546C22×C4×C67C2×D411yescharacteristic
547C22×C4×C67C2411yescharacteristic
548C22×C4×C67C2411yescharacteristic
549C22×C4×C67C2411yescharacteristic
550C22×C4×C67C2411yescharacteristic
551C22×C4×C67C2411yescharacteristic
552Q16×C67—41no—
553Q16×C67—41no—
554SD16×C67—41no—
555SD16×C67—41no—
556SD16×C67—41no—
557SD16×C67—41no—
558D8×C67—41no—
559D8×C67—41no—
560M16×C67—41no—
561M16×C67—41no—
562M16×C67—41no—
563M16×C67—41no—
564C2×C8×C67—41no—
565C2×C8×C67—41no—
566C2×C8×C67—41no—
567C2×C8×C67—41no—
568C2×C8×C67C2411yescharacteristic
569C2×C8×C67C2411yescharacteristic
570C2×C8×C67C2411yescharacteristic
571C2×C8×C67C2411yescharacteristic
572C2×C8×C67C2411yescharacteristic
573C2×C8×C67C2411yescharacteristic
574C2×C8×C67C2411yescharacteristic
575C2×C8×C67C2411yescharacteristic
576C4⋊C4×C67—21no—
577C4⋊C4×C67—21no—
578C4⋊C4×C67—21no—
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×C67C2×D411yescharacteristic
607C4⋊C4×C67C2×D411yescharacteristic
608C4⋊C4×C67C2×D411yescharacteristic
609C4⋊C4×C67C2×D411yescharacteristic
610C4⋊C4×C67C2411yescharacteristic
611C4⋊C4×C67C2411yescharacteristic
612C4⋊C4×C67C2411yescharacteristic
613C4⋊C4×C67C2411yescharacteristic
614C4⋊C4×C67C2411yescharacteristic
615C4⋊C4×C67C2411yescharacteristic
616C4⋊C4×C67C2411yescharacteristic
617C4⋊C4×C67C2411yescharacteristic
618C4⋊C4×C67C2411yescharacteristic
619C4⋊C4×C67C2411yescharacteristic
620C22⋊C4×C67—21no—
621C22⋊C4×C67—21no—
622C22⋊C4×C67—21no—
623C22⋊C4×C67—21no—
624C22⋊C4×C67—21no—
625C22⋊C4×C67—21no—
626C22⋊C4×C67—21no—
627C22⋊C4×C67—21no—
628C22⋊C4×C67—21no—
629C22⋊C4×C67—21no—
630C22⋊C4×C67—21no—
631C22⋊C4×C67—21no—
632C22⋊C4×C67—21no—
633C22⋊C4×C67—21no—
634C22⋊C4×C67—21no—
635C22⋊C4×C67—21no—
636C22⋊C4×C67—21no—
637C22⋊C4×C67—21no—
638C22⋊C4×C67—21no—
639C22⋊C4×C67—21no—
640C22⋊C4×C67—21no—
641C22⋊C4×C67—21no—
642C22⋊C4×C67—21no—
643C22⋊C4×C67—21no—
644C22⋊C4×C67—21no—
645C22⋊C4×C67—21no—
646C22⋊C4×C67—21no—
647C22⋊C4×C67—21no—
648C22⋊C4×C67—21no—
649C22⋊C4×C67—21no—
650C22⋊C4×C67—21no—
651C22⋊C4×C67—21no—
652C22⋊C4×C67—21no—
653C22⋊C4×C67—21no—
654C22⋊C4×C67—21no—
655C22⋊C4×C67—21no—
656C22⋊C4×C67—21no—
657C22⋊C4×C67C2×D411yescharacteristic
658C22⋊C4×C67C2×D411yescharacteristic
659C22⋊C4×C67C2×D411yescharacteristic
660C22⋊C4×C67C2×D411yescharacteristic
661C22⋊C4×C67C2×D411yescharacteristic
662C22⋊C4×C67C2×D411yescharacteristic
663C22⋊C4×C67C2×D411yescharacteristic
664C22⋊C4×C67C2×D411yescharacteristic
665C42×C67—21no—
666C42×C67—21no—
667C42×C67—21no—
668C42×C67—21no—
669C42×C67—21no—
670C42×C67—21no—
671C42×C67—21no—
672C42×C67—21no—
673C42×C67—21no—
674C42×C67—21no—
675C42×C67—21no—
676C42×C67—21no—
677C42×C67—21no—
678C42×C67C2×D411yescharacteristic
679C42×C67C2×D411yescharacteristic
680C42×C67C2411yescharacteristic
681C42×C67C2411yescharacteristic
682C23×C67—22no—
683C23×C67—21no—
684C23×C67—21no—
685C23×C67—21no—
686C23×C67—41no—
687C23×C67—41no—
688C23×C67—41no—
689C23×C67—41no—
690C23×C67—41no—
691C23×C67—42no—
692C23×C67—81no—
693C23×C67—81no—
694C23×C67C22×D411yescharacteristic
695C23×C67C22×D411yescharacteristic
696C23×C67C22×D411yescharacteristic
697C23×C67C22×D411yescharacteristic
698C23×C67C22×D411yescharacteristic
699Q8×C67—21no—
700Q8×C67—21no—
701Q8×C67—21no—
702Q8×C67—21no—
703Q8×C67—21no—
704Q8×C67—21no—
705Q8×C67—42no—
706Q8×C67—81no—
707Q8×C67—81no—
708D4×C67—22no—
709D4×C67—22no—
710D4×C67—21no—
711D4×C67—21no—
712D4×C67—21no—
713D4×C67—21no—
714D4×C67—21no—
715D4×C67—21no—
716D4×C67—41no—
717D4×C67—41no—
718D4×C67—42no—
719D4×C67—42no—
720D4×C67—42no—
721D4×C67—42no—
722D4×C67—42no—
723D4×C67—42no—
724D4×C67—42no—
725D4×C67—81no—
726D4×C67—81no—
727D4×C67—81no—
728D4×C67—81no—
729D4×C67—81no—
730D4×C67—81no—
731D4×C67—81no—
732C2×C4×C67—21no—
733C2×C4×C67—21no—
734C2×C4×C67—21no—
735C2×C4×C67—21no—
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—21no—
755C2×C4×C67—41no—
756C2×C4×C67—41no—
757C2×C4×C67—41no—
758C2×C4×C67—41no—
759C2×C4×C67—41no—
760C2×C4×C67—41no—
761C2×C4×C67—41no—
762C2×C4×C67—41no—
763C2×C4×C67—42no—
764C2×C4×C67—42no—
765C2×C4×C67—42no—
766C2×C4×C67—42no—
767C2×C4×C67—42no—
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×C67—81no—
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×C67C2511yescharacteristic
787C8×C67—21no—
788C8×C67—21no—
789C8×C67—21no—
790C8×C67—21no—
791C8×C67—21no—
792C8×C67—21no—
793C8×C67—21no—
794C8×C67—21no—
795C22×C67—21no—
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—21no—
806C22×C67—21no—
807C22×C67—21no—
808C22×C67—21no—
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—41no—
818C22×C67—82no—
819C22×C67—82no—
820C22×C67—162no—
821C22×C67#57512yes—
822C22×C67C23×D411yescharacteristic
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—21no—
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×C67—41no—
844C4×C67—41no—
845C4×C67#58511yescharacteristic
846C4×C67#58511yescharacteristic
847#61741C6711yesmaximal, characteristic, direct product factor, Sylow
848C2×C67—22no—
849C2×C67—41no—
850C2×C67—41no—
851C2×C67—41no—
852C2×C67—41no—
853C2×C67—81no—
854C2×C67—81no—
855C2×C67—81no—
856C2×C67#348511yescharacteristic
857C2×C67C2×#57511yescharacteristic
858C2×C67#358411yescharacteristic
859#3505C2×C6711yescharacteristic, complemented
860#3475C2×C6711yescharacteristic, complemented
861#3352C2×C6711yescharacteristic, complemented
862#3351C2×C6711yescharacteristic, complemented
863#3349C2×C6711yescharacteristic, complemented
864#3348C2×C6711yescharacteristic, complemented
865#3346C2×C6711yescharacteristic, complemented
866#3345C2×C6711yescharacteristic, complemented
867#3339C2×C6711yescharacteristic, complemented
868#3337C2×C6711yescharacteristic, complemented
869#3323C2×C6711yescharacteristic, complemented
870#3322C2×C6711yescharacteristic, complemented
871#3319C2×C6711yescharacteristic, complemented
872#3316C2×C6711yescharacteristic, complemented
873#3311C2×C6711yescharacteristic, complemented
874#3308C2×C6711yescharacteristic, complemented
875#3301C2×C6711yescharacteristic, complemented
876#3300C2×C6711yescharacteristic, complemented
877#3240C2×C6711yescharacteristic, complemented
878#3233C2×C6711yescharacteristic, complemented
879#3197C2×C6711yescharacteristic, complemented
880#3196C2×C6711yescharacteristic, complemented
881#3191C2×C6711yescharacteristic, complemented
882#3188C2×C6711yescharacteristic, complemented
883#3111C2×C6711yescharacteristic, complemented
884#3102C2×C6711yescharacteristic, complemented
885#3094C2×C6711yescharacteristic, complemented
886#3093C2×C6711yescharacteristic, complemented
887#3091C2×C6711yescharacteristic, complemented
888C2×#485C2×C6711yescharacteristic, complemented
889#2974C2×C6711yescharacteristic, complemented
890C67#6174111yescharacteristic, direct product factor, Sylow
891#556C22×C6711yescharacteristic
892#555C22×C6711yescharacteristic
893#554C22×C6711yescharacteristic, complemented
894#553—21no—
895#553—21no—
896#553C22×C6711yescharacteristic
897#553C22×C6711yescharacteristic
898#553C22×C6711yescharacteristic
899#553C22×C6711yescharacteristic, complemented
900#552—21no—
901#552C22×C6711yescharacteristic
902#552C22×C6711yescharacteristic
903#552C22×C6711yescharacteristic
904#552C22×C6711yescharacteristic, complemented
905#551—21no—
906#551—21no—
907#551—21no—
908#551—21no—
909#548C22×C6711yescharacteristic
910#548C22×C6711yescharacteristic
911#547C22×C6711yescharacteristic, complemented
912#546—21no—
913#546C22×C6711yescharacteristic
914#546C22×C6711yescharacteristic
915#539—21no—
916#538—21no—
917#534—21no—
918#533C22×C6711yescharacteristic, complemented
919#529—21no—
920#529—21no—
921#529—21no—
922#529C22×C6711yescharacteristic
923#529C22×C6711yescharacteristic
924#525C22×C6711yescharacteristic
925#525C22×C6711yescharacteristic
926#525C22×C6711yescharacteristic
927#525C22×C6711yescharacteristic, complemented
928C2×C22⋊Q8C22×C6711yescharacteristic
929C2×#121C22×C6711yescharacteristic
930#518—21no—
931C4×#41—21no—
932C4×#41C22×C6711yescharacteristic, complemented
933C2×C4×D4C22×C6711yescharacteristic
934C2×#117C22×C6711yescharacteristic
935C2×#117C22×C6711yescharacteristic, complemented
936#501C22×C6711yescharacteristic, complemented
937#501C22×C6711yescharacteristic, complemented
938#499C22×C6711yescharacteristic, complemented
939#499C22×C6711yescharacteristic, complemented
940#489C22×C6711yescharacteristic, complemented
941#489C22×C6711yescharacteristic, complemented
942#488C22×C6711yescharacteristic, complemented
943#488C22×C6711yescharacteristic, complemented
944#485C22×C6711yescharacteristic, complemented
945#485C22×C6711yescharacteristic, complemented
946#485C22×C6711yescharacteristic, complemented
947#485C22×C6711yescharacteristic, complemented
948#485C22×C6711yescharacteristic, complemented
949#485C22×C6711yescharacteristic, complemented
950#485C22×C6711yescharacteristic, complemented
951#485C22×C6711yescharacteristic, complemented
952#485C22×C6711yescharacteristic, complemented
953#485C22×C6711yescharacteristic, complemented
954#485C22×C6711yescharacteristic, complemented
955#485C22×C6711yescharacteristic, complemented
956#485C22×C6711yescharacteristic, complemented
957#485C22×C6711yescharacteristic, complemented
958#484C22×C6711yescharacteristic, complemented
959#484C22×C6711yescharacteristic, complemented
960#484C22×C6711yescharacteristic, complemented
961#483C22×C6711yescharacteristic, complemented
962#482C22×C6711yescharacteristic
963#482C22×C6711yescharacteristic
964#482C22×C6711yescharacteristic
965#482C22×C6711yescharacteristic
966#482C22×C6711yescharacteristic
967#482C22×C6711yescharacteristic
968#482C22×C6711yescharacteristic, complemented
969#482C22×C6711yescharacteristic, complemented
970#482C22×C6711yescharacteristic, complemented
971#482C22×C6711yescharacteristic, complemented
972#481C22×C6711yescharacteristic, complemented
973#481C22×C6711yescharacteristic, complemented
974#481C22×C6711yescharacteristic, complemented
975#481C22×C6711yescharacteristic, complemented
976#481C22×C6711yescharacteristic, complemented
977#480C22×C6711yescharacteristic, complemented
978#480C22×C6711yescharacteristic, complemented
979#480C22×C6711yescharacteristic, complemented
980#479C22×C6711yescharacteristic, complemented
981#479C22×C6711yescharacteristic, complemented
982#479C22×C6711yescharacteristic, complemented
983#479C22×C6711yescharacteristic, complemented
984#478C22×C6711yescharacteristic, complemented
985#478C22×C6711yescharacteristic, complemented
986#478C22×C6711yescharacteristic, complemented
987#478C22×C6711yescharacteristic, complemented
988#477C22×C6711yescharacteristic, complemented
989#476C22×C6711yescharacteristic, complemented
990#475C22×C6711yescharacteristic, complemented
991#474C22×C6711yescharacteristic, complemented
992#470C22×C6711yescharacteristic, complemented
993#470C22×C6711yescharacteristic, complemented
994#470C22×C6711yescharacteristic, complemented
995#469C22×C6711yescharacteristic, complemented
996#468C22×C6711yescharacteristic, complemented
997#468C22×C6711yescharacteristic, complemented
998#468C22×C6711yescharacteristic, complemented
999#468C22×C6711yescharacteristic, complemented
1000#467C22×C6711yescharacteristic, complemented
1001#466C22×C6711yescharacteristic, complemented
1002#466C22×C6711yescharacteristic, complemented
1003#466C22×C6711yescharacteristic, complemented
1004#465C22×C6711yescharacteristic, complemented
1005#465C22×C6711yescharacteristic, complemented
1006#465C22×C6711yescharacteristic, complemented
1007#465C22×C6711yescharacteristic, complemented
1008#464C22×C6711yescharacteristic, complemented
1009#464C22×C6711yescharacteristic, complemented
1010#463C22×C6711yescharacteristic, complemented
1011#463C22×C6711yescharacteristic, complemented
1012#452C22×C6711yescharacteristic, complemented
1013#452C22×C6711yescharacteristic, complemented
1014#452C22×C6711yescharacteristic, complemented
1015#452C22×C6711yescharacteristic, complemented
1016#451C22×C6711yescharacteristic, complemented
1017#450C22×C6711yescharacteristic, complemented
1018#449C22×C6711yescharacteristic
1019#449C22×C6711yescharacteristic
1020#449C22×C6711yescharacteristic, complemented
1021#449C22×C6711yescharacteristic, complemented
1022#448C22×C6711yescharacteristic, complemented
1023#447C22×C6711yescharacteristic, complemented
1024#442C22×C6711yescharacteristic, complemented
1025#441C22×C6711yescharacteristic, complemented
1026#440C22×C6711yescharacteristic, complemented
1027#440C22×C6711yescharacteristic, complemented
1028C4×Q16C22×C6711yescharacteristic, complemented
1029C4×SD16C22×C6711yescharacteristic, complemented
1030C4×SD16C22×C6711yescharacteristic, complemented
1031C4×D8C22×C6711yescharacteristic, complemented
1032#436C22×C6711yescharacteristic
1033#436C22×C6711yescharacteristic
1034#435C22×C6711yescharacteristic
1035#435C22×C6711yescharacteristic
1036#435C22×C6711yescharacteristic, complemented
1037#435C22×C6711yescharacteristic, complemented
1038C8×D4C22×C6711yescharacteristic, complemented
1039C8×D4C22×C6711yescharacteristic, complemented
1040#432C22×C6711yescharacteristic, complemented
1041#431C22×C6711yescharacteristic, complemented
1042#428C22×C6711yescharacteristic, complemented
1043#428C22×C6711yescharacteristic, complemented
1044#428C22×C6711yescharacteristic, complemented
1045#428C22×C6711yescharacteristic, complemented
1046#427C22×C6711yescharacteristic, complemented
1047#427C22×C6711yescharacteristic, complemented
1048C2×#107C22×C6711yescharacteristic, complemented
1049C2×#106C22×C6711yescharacteristic, complemented
1050#418C22×C6711yescharacteristic, complemented
1051#418C22×C6711yescharacteristic, complemented
1052#417C22×C6711yescharacteristic, complemented
1053#417C22×C6711yescharacteristic, complemented
1054#416C22×C6711yescharacteristic, complemented
1055#416C22×C6711yescharacteristic, complemented
1056C2×#103C22×C6711yescharacteristic, complemented
1057C2×#103C22×C6711yescharacteristic, complemented
1058#407C22×C6711yescharacteristic
1059#407C22×C6711yescharacteristic, complemented
1060C2×C22⋊C8C22×C6711yescharacteristic
1061C2×C22⋊C8C22×C6711yescharacteristic, complemented
1062C2×#41—21no—
1063C2×#41C23×C6711yescharacteristic
1064C2×#41C23×C6711yescharacteristic
1065C2×#41C23×C6711yescharacteristic
1066C22×Q8C23×C6711yescharacteristic
1067C22×D4—21no—
1068C22×D4D4×C6711yescharacteristic
1069C22×D4C23×C6711yescharacteristic
1070C23×C4C23×C6711yescharacteristic
1071C23×C4C23×C6711yescharacteristic
1072C2×Q16C23×C6711yescharacteristic
1073C2×Q16C23×C6711yescharacteristic
1074C2×SD16C23×C6711yescharacteristic
1075C2×SD16C23×C6711yescharacteristic
1076C2×SD16C23×C6711yescharacteristic
1077C2×SD16C23×C6711yescharacteristic
1078C2×D8C23×C6711yescharacteristic
1079C2×D8C23×C6711yescharacteristic
1080C2×M16C23×C6711yescharacteristic
1081C2×M16C23×C6711yescharacteristic
1082C2×M16C23×C6711yescharacteristic
1083C2×M16C23×C6711yescharacteristic
1084C22×C8C23×C6711yescharacteristic
1085C22×C8C23×C6711yescharacteristic
1086C22×C8C23×C6711yescharacteristic
1087C22×C8C23×C6711yescharacteristic
1088C4⋊Q8C23×C6711yescharacteristic
1089C4⋊Q8C23×C6711yescharacteristic
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126—21no—
1095#126—21no—
1096#126—21no—
1097#126—21no—
1098#126—21no—
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#125—21no—
1103#125—21no—
1104#125—21no—
1105#125—21no—
1106#125—21no—
1107#125C23×C6711yescharacteristic
1108#125C23×C6711yescharacteristic
1109#125C23×C6711yescharacteristic
1110#125C23×C6711yescharacteristic
1111#124—21no—
1112#124—21no—
1113#124—21no—
1114#124—21no—
1115#124—21no—
1116#124C23×C6711yescharacteristic
1117#124C23×C6711yescharacteristic
1118#123—21no—
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—21no—
1145C22⋊Q8C23×C6711yescharacteristic
1146C22⋊Q8C23×C6711yescharacteristic
1147C22⋊Q8C23×C6711yescharacteristic
1148C22⋊Q8C23×C6711yescharacteristic
1149C22⋊Q8C23×C6711yescharacteristic
1150C22⋊Q8C23×C6711yescharacteristic
1151C22⋊Q8C23×C6711yescharacteristic
1152C22⋊Q8C23×C6711yescharacteristic
1153C22⋊Q8C23×C6711yescharacteristic
1154C22⋊Q8C23×C6711yescharacteristic
1155#121—21no—
1156#121—21no—
1157#121—21no—
1158#121—21no—
1159#121—21no—
1160#121—21no—
1161#121—21no—
1162#121—21no—
1163#121—21no—
1164#121—21no—
1165#121—21no—
1166#121C23×C6711yescharacteristic
1167#121C23×C6711yescharacteristic
1168#121C23×C6711yescharacteristic
1169#121C23×C6711yescharacteristic
1170#121C23×C6711yescharacteristic
1171#121C23×C6711yescharacteristic
1172#121C23×C6711yescharacteristic
1173#121C23×C6711yescharacteristic
1174#121C23×C6711yescharacteristic
1175#121C23×C6711yescharacteristic
1176#120—21no—
1177#120—21no—
1178#120—21no—
1179#120—21no—
1180#120—21no—
1181#120—21no—
1182C4×Q8—21no—
1183C4×Q8—21no—
1184C4×Q8—21no—
1185C4×Q8C23×C6711yescharacteristic
1186C4×Q8C23×C6711yescharacteristic
1187C4×Q8C23×C6711yescharacteristic
1188C4×Q8C23×C6711yescharacteristic
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—21no—
1203C4×D4—21no—
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4D4×C6711yescharacteristic
1209C4×D4D4×C6711yescharacteristic
1210C4×D4D4×C6711yescharacteristic
1211C4×D4D4×C6711yescharacteristic
1212C4×D4C23×C6711yescharacteristic
1213C4×D4C23×C6711yescharacteristic
1214C4×D4C23×C6711yescharacteristic
1215C4×D4C23×C6711yescharacteristic
1216C4×D4C23×C6711yescharacteristic
1217C4×D4C23×C6711yescharacteristic
1218C4×D4C23×C6711yescharacteristic
1219C4×D4C23×C6711yescharacteristic
1220#117—21no—
1221#117—21no—
1222#117—21no—
1223#117—21no—
1224#117—21no—
1225#117—21no—
1226#117—21no—
1227#117—21no—
1228#117—21no—
1229#117—21no—
1230#117—21no—
1231#117—21no—
1232#117C23×C6711yescharacteristic
1233#117C23×C6711yescharacteristic
1234#117C23×C6711yescharacteristic
1235#117C23×C6711yescharacteristic
1236#117C23×C6711yescharacteristic
1237#117C23×C6711yescharacteristic
1238#117C23×C6711yescharacteristic
1239#117C23×C6711yescharacteristic
1240#117C23×C6711yescharacteristic
1241C2×C4⋊C4—21no—
1242C2×C4⋊C4D4×C6711yescharacteristic
1243C2×C4⋊C4C23×C6711yescharacteristic
1244C2×C4⋊C4C23×C6711yescharacteristic
1245C2×C4⋊C4C23×C6711yescharacteristic
1246C2×C4⋊C4C23×C6711yescharacteristic
1247C2×C4⋊C4C23×C6711yescharacteristic
1248C2×C4⋊C4C23×C6711yescharacteristic
1249C2×C22⋊C4—21no—
1250C2×C22⋊C4—21no—
1251C2×C22⋊C4—21no—
1252C2×C22⋊C4—21no—
1253C2×C22⋊C4—21no—
1254C2×C22⋊C4—21no—
1255C2×C22⋊C4D4×C6711yescharacteristic
1256C2×C22⋊C4D4×C6711yescharacteristic
1257C2×C42—21no—
1258C2×C42—21no—
1259C2×C42—21no—
1260C2×C42C23×C6711yescharacteristic
1261#107C23×C6711yescharacteristic
1262#107C23×C6711yescharacteristic
1263#107C23×C6711yescharacteristic
1264#107C23×C6711yescharacteristic
1265#107C23×C6711yescharacteristic
1266#107C23×C6711yescharacteristic
1267#107C23×C6711yescharacteristic
1268#107C23×C6711yescharacteristic
1269#107C23×C6711yescharacteristic
1270#107C23×C6711yescharacteristic
1271#107C23×C6711yescharacteristic
1272#107C23×C6711yescharacteristic
1273#106C23×C6711yescharacteristic
1274#106C23×C6711yescharacteristic
1275#106C23×C6711yescharacteristic
1276#106C23×C6711yescharacteristic
1277#106C23×C6711yescharacteristic
1278#106C23×C6711yescharacteristic
1279#106C23×C6711yescharacteristic
1280#106C23×C6711yescharacteristic
1281#106C23×C6711yescharacteristic
1282#106C23×C6711yescharacteristic
1283#106C23×C6711yescharacteristic
1284#106C23×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
1327C22⋊C8C23×C6711yescharacteristic
1328C22⋊C8C23×C6711yescharacteristic
1329C22⋊C8C23×C6711yescharacteristic
1330C22⋊C8C23×C6711yescharacteristic
1331C22⋊C8C23×C6711yescharacteristic
1332C22⋊C8C23×C6711yescharacteristic
1333#97C23×C6711yescharacteristic
1334#97C23×C6711yescharacteristic
1335C4×C8C23×C6711yescharacteristic
1336C4×C8C23×C6711yescharacteristic
1337C24—21no—
1338C24C2×D4×C6711yescharacteristic
1339C24C2×D4×C6711yescharacteristic
1340#41—41no—
1341#41—41no—
1342#41—41no—
1343#41—41no—
1344#41—41no—
1345#41—41no—
1346#41—44no—
1347C2×Q8—21no—
1348C2×Q8—21no—
1349C2×Q8—21no—
1350C2×Q8—41no—
1351C2×Q8—41no—
1352C2×Q8C24×C6711yescharacteristic
1353C2×Q8C24×C6711yescharacteristic
1354C2×Q8C24×C6711yescharacteristic
1355C2×D4—21no—
1356C2×D4—21no—
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—42no—
1372C2×D4—44no—
1373C2×D4C2×D4×C6711yescharacteristic
1374C2×D4C2×D4×C6711yescharacteristic
1375C2×D4C2×D4×C6711yescharacteristic
1376C2×D4C2×D4×C6711yescharacteristic
1377C2×D4C24×C6711yescharacteristic
1378C2×D4C24×C6711yescharacteristic
1379C2×D4C24×C6711yescharacteristic
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—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4C2×D4×C6711yescharacteristic
1399C22×C4C2×D4×C6711yescharacteristic
1400C22×C4C2×D4×C6711yescharacteristic
1401C22×C4C2×D4×C6711yescharacteristic
1402C22×C4C2×D4×C6711yescharacteristic
1403C22×C4C2×D4×C6711yescharacteristic
1404C22×C4C2×D4×C6711yescharacteristic
1405C22×C4C2×D4×C6711yescharacteristic
1406C22×C4C24×C6711yescharacteristic
1407C22×C4C24×C6711yescharacteristic
1408C22×C4C24×C6711yescharacteristic
1409C22×C4C24×C6711yescharacteristic
1410C22×C4C24×C6711yescharacteristic
1411Q16—41no—
1412Q16—41no—
1413SD16—41no—
1414SD16—41no—
1415SD16—41no—
1416SD16—41no—
1417D8—41no—
1418D8—41no—
1419M16—41no—
1420M16—41no—
1421M16—41no—
1422M16—41no—
1423C2×C8—41no—
1424C2×C8—41no—
1425C2×C8—41no—
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⋊C4C2×D4×C6711yescharacteristic
1466C4⋊C4C2×D4×C6711yescharacteristic
1467C4⋊C4C2×D4×C6711yescharacteristic
1468C4⋊C4C2×D4×C6711yescharacteristic
1469C4⋊C4C24×C6711yescharacteristic
1470C4⋊C4C24×C6711yescharacteristic
1471C4⋊C4C24×C6711yescharacteristic
1472C4⋊C4C24×C6711yescharacteristic
1473C4⋊C4C24×C6711yescharacteristic
1474C4⋊C4C24×C6711yescharacteristic
1475C4⋊C4C24×C6711yescharacteristic
1476C4⋊C4C24×C6711yescharacteristic
1477C4⋊C4C24×C6711yescharacteristic
1478C4⋊C4C24×C6711yescharacteristic
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
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⋊C4C2×D4×C6711yescharacteristic
1517C22⋊C4C2×D4×C6711yescharacteristic
1518C22⋊C4C2×D4×C6711yescharacteristic
1519C22⋊C4C2×D4×C6711yescharacteristic
1520C22⋊C4C2×D4×C6711yescharacteristic
1521C22⋊C4C2×D4×C6711yescharacteristic
1522C22⋊C4C2×D4×C6711yescharacteristic
1523C22⋊C4C2×D4×C6711yescharacteristic
1524C42—21no—
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—21no—
1534C42—21no—
1535C42—21no—
1536C42—21no—
1537C42C2×D4×C6711yescharacteristic
1538C42C2×D4×C6711yescharacteristic
1539C42C24×C6711yescharacteristic
1540C42C24×C6711yescharacteristic
1541C23—22no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—41no—
1546C23—41no—
1547C23—41no—
1548C23—41no—
1549C23—41no—
1550C23—42no—
1551C23—81no—
1552C23—81no—
1553C23C22×D4×C6711yescharacteristic
1554C23C22×D4×C6711yescharacteristic
1555C23C22×D4×C6711yescharacteristic
1556C23C22×D4×C6711yescharacteristic
1557C23C22×D4×C6711yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—42no—
1565Q8—81no—
1566Q8—81no—
1567D4—22no—
1568D4—22no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—41no—
1576D4—41no—
1577D4—42no—
1578D4—42no—
1579D4—42no—
1580D4—42no—
1581D4—42no—
1582D4—42no—
1583D4—42no—
1584D4—81no—
1585D4—81no—
1586D4—81no—
1587D4—81no—
1588D4—81no—
1589D4—81no—
1590D4—81no—
1591C2×C4—21no—
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—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—42no—
1623C2×C4—42no—
1624C2×C4—42no—
1625C2×C4—42no—
1626C2×C4—42no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—81no—
1635C2×C4—81no—
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×C4C22×D4×C6711yescharacteristic
1644C2×C4C22×D4×C6711yescharacteristic
1645C2×C4C25×C6711yescharacteristic
1646C8—21no—
1647C8—21no—
1648C8—21no—
1649C8—21no—
1650C8—21no—
1651C8—21no—
1652C8—21no—
1653C8—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—21no—
1662C22—21no—
1663C22—21no—
1664C22—21no—
1665C22—21no—
1666C22—21no—
1667C22—21no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—82no—
1678C22—82no—
1679C22—162no—
1680C22#575×C6712yes—
1681C22C23×D4×C6711yescharacteristic
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—21no—
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4#585×C6711yescharacteristic
1705C4#585×C6711yescharacteristic
1706C2—22no—
1707C2—41no—
1708C2—41no—
1709C2—41no—
1710C2—41no—
1711C2—81no—
1712C2—81no—
1713C2—81no—
1714C2C67×#348511yescharacteristic
1715C2C2×#575×C6711yescharacteristic
1716C2C67×#358411yescharacteristic
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×#3505C2semidirect
2. C67×#3475C2semidirect
3. C67×#3352C2semidirect
4. C67×#3351C2semidirect
5. C67×#3349C2semidirect
6. C67×#3348C2semidirect
7. C67×#3346C2semidirect
8. C67×#3345C2semidirect
9. C67×#3339C2semidirect
10. C67×#3337C2semidirect
11. C67×#3323C2semidirect
12. C67×#3322C2semidirect
13. C67×#3319C2semidirect
14. C67×#3316C2semidirect
15. C67×#3311C2semidirect
16. C67×#3308C2semidirect
17. C67×#3301C2semidirect
18. C67×#3300C2semidirect
19. C67×#3240C2semidirect
20. C67×#3233C2semidirect
21. C67×#3197C2semidirect
22. C67×#3196C2semidirect
23. C67×#3191C2semidirect
24. C67×#3188C2semidirect
25. C67×#3111C2semidirect
26. C67×#3102C2semidirect
27. C67×#3094C2semidirect
28. C67×#3093C2semidirect
29. C67×#3091C2semidirect
30. C2×#485×C67C2semidirect
31. C67×#2974C2semidirect
34. #554×C67C22semidirect
40. #553×C67C22semidirect
45. #552×C67C22semidirect
52. #547×C67C22semidirect
59. #533×C67C22semidirect
68. #525×C67C22semidirect
73. C4×#41×C67C22semidirect
76. C2×#117×C67C22semidirect
77. #501×C67C22semidirect
78. #501×C67C22semidirect
79. #499×C67C22semidirect
80. #499×C67C22semidirect
81. #489×C67C22semidirect
82. #489×C67C22semidirect
83. #488×C67C22semidirect
84. #488×C67C22semidirect
85. #485×C67C22semidirect
86. #485×C67C22semidirect
87. #485×C67C22semidirect
88. #485×C67C22semidirect
89. #485×C67C22semidirect
90. #485×C67C22semidirect
91. #485×C67C22semidirect
92. #485×C67C22semidirect
93. #485×C67C22semidirect
94. #485×C67C22semidirect
95. #485×C67C22semidirect
96. #485×C67C22semidirect
97. #485×C67C22semidirect
98. #485×C67C22semidirect
99. #484×C67C22semidirect
100. #484×C67C22semidirect
101. #484×C67C22semidirect
102. #483×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. #481×C67C22semidirect
118. #480×C67C22semidirect
119. #480×C67C22semidirect
120. #480×C67C22semidirect
121. #479×C67C22semidirect
122. #479×C67C22semidirect
123. #479×C67C22semidirect
124. #479×C67C22semidirect
125. #478×C67C22semidirect
126. #478×C67C22semidirect
127. #478×C67C22semidirect
128. #478×C67C22semidirect
129. #477×C67C22semidirect
130. #476×C67C22semidirect
131. #475×C67C22semidirect
132. #474×C67C22semidirect
133. #470×C67C22semidirect
134. #470×C67C22semidirect
135. #470×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. #464×C67C22semidirect
151. #463×C67C22semidirect
152. #463×C67C22semidirect
153. #452×C67C22semidirect
154. #452×C67C22semidirect
155. #452×C67C22semidirect
156. #452×C67C22semidirect
157. #451×C67C22semidirect
158. #450×C67C22semidirect
161. #449×C67C22semidirect
162. #449×C67C22semidirect
163. #448×C67C22semidirect
164. #447×C67C22semidirect
165. #442×C67C22semidirect
166. #441×C67C22semidirect
167. #440×C67C22semidirect
168. #440×C67C22semidirect
169. C4×Q16×C67C22semidirect
170. C4×SD16×C67C22semidirect
171. C4×SD16×C67C22semidirect
172. C4×D8×C67C22semidirect
177. #435×C67C22semidirect
178. #435×C67C22semidirect
179. C8×D4×C67C22semidirect
180. C8×D4×C67C22semidirect
181. #432×C67C22semidirect
182. #431×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×#103×C67C22semidirect
198. C2×#103×C67C22semidirect
200. #407×C67C22semidirect
202. C2×C22⋊C8×C67C22semidirect
847. #61741C67direct (N × H)
859. #3505C2×C67semidirect
860. #3475C2×C67semidirect
861. #3352C2×C67semidirect
862. #3351C2×C67semidirect
863. #3349C2×C67semidirect
864. #3348C2×C67semidirect
865. #3346C2×C67semidirect
866. #3345C2×C67semidirect
867. #3339C2×C67semidirect
868. #3337C2×C67semidirect
869. #3323C2×C67semidirect
870. #3322C2×C67semidirect
871. #3319C2×C67semidirect
872. #3316C2×C67semidirect
873. #3311C2×C67semidirect
874. #3308C2×C67semidirect
875. #3301C2×C67semidirect
876. #3300C2×C67semidirect
877. #3240C2×C67semidirect
878. #3233C2×C67semidirect
879. #3197C2×C67semidirect
880. #3196C2×C67semidirect
881. #3191C2×C67semidirect
882. #3188C2×C67semidirect
883. #3111C2×C67semidirect
884. #3102C2×C67semidirect
885. #3094C2×C67semidirect
886. #3093C2×C67semidirect
887. #3091C2×C67semidirect
888. C2×#485C2×C67semidirect
889. #2974C2×C67semidirect
890. C67#61741direct (N × H)
893. #554C22×C67semidirect
899. #553C22×C67semidirect
904. #552C22×C67semidirect
911. #547C22×C67semidirect
918. #533C22×C67semidirect
927. #525C22×C67semidirect
932. C4×#41C22×C67semidirect
935. C2×#117C22×C67semidirect
936. #501C22×C67semidirect
937. #501C22×C67semidirect
938. #499C22×C67semidirect
939. #499C22×C67semidirect
940. #489C22×C67semidirect
941. #489C22×C67semidirect
942. #488C22×C67semidirect
943. #488C22×C67semidirect
944. #485C22×C67semidirect
945. #485C22×C67semidirect
946. #485C22×C67semidirect
947. #485C22×C67semidirect
948. #485C22×C67semidirect
949. #485C22×C67semidirect
950. #485C22×C67semidirect
951. #485C22×C67semidirect
952. #485C22×C67semidirect
953. #485C22×C67semidirect
954. #485C22×C67semidirect
955. #485C22×C67semidirect
956. #485C22×C67semidirect
957. #485C22×C67semidirect
958. #484C22×C67semidirect
959. #484C22×C67semidirect
960. #484C22×C67semidirect
961. #483C22×C67semidirect
968. #482C22×C67semidirect
969. #482C22×C67semidirect
970. #482C22×C67semidirect
971. #482C22×C67semidirect
972. #481C22×C67semidirect
973. #481C22×C67semidirect
974. #481C22×C67semidirect
975. #481C22×C67semidirect
976. #481C22×C67semidirect
977. #480C22×C67semidirect
978. #480C22×C67semidirect
979. #480C22×C67semidirect
980. #479C22×C67semidirect
981. #479C22×C67semidirect
982. #479C22×C67semidirect
983. #479C22×C67semidirect
984. #478C22×C67semidirect
985. #478C22×C67semidirect
986. #478C22×C67semidirect
987. #478C22×C67semidirect
988. #477C22×C67semidirect
989. #476C22×C67semidirect
990. #475C22×C67semidirect
991. #474C22×C67semidirect
992. #470C22×C67semidirect
993. #470C22×C67semidirect
994. #470C22×C67semidirect
995. #469C22×C67semidirect
996. #468C22×C67semidirect
997. #468C22×C67semidirect
998. #468C22×C67semidirect
999. #468C22×C67semidirect
1000. #467C22×C67semidirect
1001. #466C22×C67semidirect
1002. #466C22×C67semidirect
1003. #466C22×C67semidirect
1004. #465C22×C67semidirect
1005. #465C22×C67semidirect
1006. #465C22×C67semidirect
1007. #465C22×C67semidirect
1008. #464C22×C67semidirect
1009. #464C22×C67semidirect
1010. #463C22×C67semidirect
1011. #463C22×C67semidirect
1012. #452C22×C67semidirect
1013. #452C22×C67semidirect
1014. #452C22×C67semidirect
1015. #452C22×C67semidirect
1016. #451C22×C67semidirect
1017. #450C22×C67semidirect
1020. #449C22×C67semidirect
1021. #449C22×C67semidirect
1022. #448C22×C67semidirect
1023. #447C22×C67semidirect
1024. #442C22×C67semidirect
1025. #441C22×C67semidirect
1026. #440C22×C67semidirect
1027. #440C22×C67semidirect
1028. C4×Q16C22×C67semidirect
1029. C4×SD16C22×C67semidirect
1030. C4×SD16C22×C67semidirect
1031. C4×D8C22×C67semidirect
1036. #435C22×C67semidirect
1037. #435C22×C67semidirect
1038. C8×D4C22×C67semidirect
1039. C8×D4C22×C67semidirect
1040. #432C22×C67semidirect
1041. #431C22×C67semidirect
1042. #428C22×C67semidirect
1043. #428C22×C67semidirect
1044. #428C22×C67semidirect
1045. #428C22×C67semidirect
1046. #427C22×C67semidirect
1047. #427C22×C67semidirect
1048. C2×#107C22×C67semidirect
1049. C2×#106C22×C67semidirect
1050. #418C22×C67semidirect
1051. #418C22×C67semidirect
1052. #417C22×C67semidirect
1053. #417C22×C67semidirect
1054. #416C22×C67semidirect
1055. #416C22×C67semidirect
1056. C2×#103C22×C67semidirect
1057. C2×#103C22×C67semidirect
1059. #407C22×C67semidirect
1061. 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×#35052
C67×#34752
C67×#33522
C67×#33512
C67×#33492
C67×#33482
C67×#33462
C67×#33452
C67×#33392
C67×#33372
C67×#33232
C67×#33222
C67×#33192
C67×#33162
C67×#33112
C67×#33082
C67×#33012
C67×#33002
C67×#32402
C67×#32332
C67×#31972
C67×#31962
C67×#31912
C67×#31882
C67×#31112
C67×#31022
C67×#30942
C67×#30932
C67×#30912
C2×#485×C672
C67×#29742
#6174167