Finite Group Databasebeta

← C67×#60997 #30740248

Subgroups — C67×#60997 #30740248

Order 17152.

1746 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3512C211yesmaximal, characteristic, complemented
2C67×#3460C211yesmaximal, characteristic, complemented
3C67×#3256C211yesmaximal, characteristic, complemented
4C67×#3251C211yesmaximal, characteristic, complemented
5C67×#3250C211yesmaximal, characteristic, complemented
6C67×#3247C211yesmaximal, characteristic, complemented
7C67×#3242C211yesmaximal, characteristic, complemented
8C67×#3241C211yesmaximal, characteristic, complemented
9C67×#3234C211yesmaximal, characteristic, complemented
10C67×#3232C211yesmaximal, characteristic, complemented
11C67×#3222C211yesmaximal, characteristic, complemented
12C67×#3220C211yesmaximal, characteristic, complemented
13C67×#3219C211yesmaximal, characteristic, complemented
14C67×#3207C211yesmaximal, characteristic, complemented
15C67×#3204C211yesmaximal, characteristic, complemented
16C67×#3203C211yesmaximal, characteristic, complemented
17C67×#3198C211yesmaximal, characteristic, complemented
18C67×#3198C211yesmaximal, characteristic, complemented
19C67×#3179C211yesmaximal, characteristic, complemented
20C67×#3178C211yesmaximal, characteristic, complemented
21C67×#3176C211yesmaximal, characteristic, complemented
22C67×#3174C211yesmaximal, characteristic, complemented
23C67×#3125C211yesmaximal, characteristic, complemented
24C67×#3124C211yesmaximal, characteristic, complemented
25C67×#3119C211yesmaximal, characteristic, complemented
26C67×#3119C211yesmaximal, characteristic, complemented
27C67×#3114C211yesmaximal, characteristic, complemented
28C67×#3111C211yesmaximal, characteristic, complemented
29C67×#3105C211yesmaximal, characteristic, complemented
30C67×#3102C211yesmaximal, characteristic, complemented
31C67×#2925C211yesmaximal, characteristic, complemented
32#553×C67—21no—
33#553×C67—21no—
34#553×C67—21no—
35#553×C67—21no—
36#553×C67—21no—
37#553×C67—21no—
38#552×C67—21no—
39#552×C67—21no—
40#544×C67C2211yescharacteristic
41#542×C67—21no—
42#542×C67C2211yescharacteristic
43#542×C67C2211yescharacteristic
44#541×C67C2211yescharacteristic
45#541×C67C2211yescharacteristic, complemented
46#540×C67—21no—
47#540×C67C2211yescharacteristic
48#540×C67C2211yescharacteristic
49#540×C67C2211yescharacteristic
50#540×C67C2211yescharacteristic, complemented
51#538×C67—21no—
52#538×C67—21no—
53#537×C67C2211yescharacteristic
54#537×C67C2211yescharacteristic
55#537×C67C2211yescharacteristic
56#535×C67C2211yescharacteristic
57#535×C67C2211yescharacteristic
58#532×C67—21no—
59#532×C67C2211yescharacteristic
60#532×C67C2211yescharacteristic
61#532×C67C2211yescharacteristic, complemented
62#529×C67—21no—
63#529×C67C2211yescharacteristic
64#529×C67C2211yescharacteristic
65#529×C67C2211yescharacteristic
66#529×C67C2211yescharacteristic
67#529×C67C2211yescharacteristic, complemented
68#529×C67C2211yescharacteristic, complemented
69C2×#125×C67C2211yescharacteristic, complemented
70#525×C67—21no—
71#525×C67—21no—
72#520×C67C2211yescharacteristic, complemented
73#520×C67C2211yescharacteristic, complemented
74C4×#41×C67C2211yescharacteristic
75C4×#41×C67C2211yescharacteristic
76C2×C4×D4×C67C2211yescharacteristic
77#501×C67C2211yescharacteristic, complemented
78#501×C67C2211yescharacteristic, complemented
79#499×C67C2211yescharacteristic, complemented
80#499×C67C2211yescharacteristic, complemented
81#497×C67C2211yescharacteristic
82#496×C67C2211yescharacteristic
83#493×C67C2211yescharacteristic
84#492×C67C2211yescharacteristic
85#491×C67C2211yescharacteristic, complemented
86#490×C67C2211yescharacteristic
87#490×C67C2211yescharacteristic
88#490×C67C2211yescharacteristic, complemented
89#488×C67C2211yescharacteristic
90#488×C67C2211yescharacteristic
91#487×C67C2211yescharacteristic, complemented
92#486×C67C2211yescharacteristic, complemented
93#485×C67C2211yescharacteristic
94#485×C67C2211yescharacteristic
95#484×C67C2211yescharacteristic
96#484×C67C2211yescharacteristic, complemented
97#483×C67C2211yescharacteristic
98#483×C67C2211yescharacteristic, complemented
99#482×C67C2211yescharacteristic
100#482×C67C2211yescharacteristic
101#481×C67C2211yescharacteristic
102#481×C67C2211yescharacteristic
103#481×C67C2211yescharacteristic
104#481×C67C2211yescharacteristic, complemented
105#480×C67C2211yescharacteristic
106#480×C67C2211yescharacteristic
107#480×C67C2211yescharacteristic
108#480×C67C2211yescharacteristic, complemented
109#479×C67C2211yescharacteristic, complemented
110#479×C67C2211yescharacteristic, complemented
111#479×C67C2211yescharacteristic, complemented
112#479×C67C2211yescharacteristic, complemented
113#478×C67C2211yescharacteristic
114#478×C67C2211yescharacteristic
115#478×C67C2211yescharacteristic
116#478×C67C2211yescharacteristic
117#478×C67C2211yescharacteristic, complemented
118#478×C67C2211yescharacteristic, complemented
119#478×C67C2211yescharacteristic, complemented
120#478×C67C2211yescharacteristic, complemented
121#477×C67C2211yescharacteristic, complemented
122#476×C67C2211yescharacteristic, complemented
123#475×C67C2211yescharacteristic, complemented
124#474×C67C2211yescharacteristic, complemented
125#470×C67C2211yescharacteristic, complemented
126#469×C67C2211yescharacteristic
127#469×C67C2211yescharacteristic
128#469×C67C2211yescharacteristic, complemented
129#468×C67C2211yescharacteristic
130#468×C67C2211yescharacteristic
131#468×C67C2211yescharacteristic, complemented
132#468×C67C2211yescharacteristic, complemented
133#467×C67C2211yescharacteristic, complemented
134#466×C67C2211yescharacteristic
135#466×C67C2211yescharacteristic
136#466×C67C2211yescharacteristic, complemented
137#465×C67C2211yescharacteristic
138#465×C67C2211yescharacteristic
139#465×C67C2211yescharacteristic, complemented
140#465×C67C2211yescharacteristic, complemented
141#464×C67C2211yescharacteristic
142#464×C67C2211yescharacteristic
143#464×C67C2211yescharacteristic, complemented
144#464×C67C2211yescharacteristic, complemented
145#463×C67C2211yescharacteristic
146#463×C67C2211yescharacteristic
147#463×C67C2211yescharacteristic
148#463×C67C2211yescharacteristic
149#463×C67C2211yescharacteristic
150#463×C67C2211yescharacteristic
151#463×C67C2211yescharacteristic, complemented
152#463×C67C2211yescharacteristic, complemented
153#460×C67C2211yescharacteristic
154#460×C67C2211yescharacteristic
155#459×C67C2211yescharacteristic
156#459×C67C2211yescharacteristic
157#452×C67C2211yescharacteristic
158#452×C67C2211yescharacteristic
159#452×C67C2211yescharacteristic, complemented
160#452×C67C2211yescharacteristic, complemented
161#450×C67C2211yescharacteristic
162#450×C67C2211yescharacteristic
163#449×C67C2211yescharacteristic
164#449×C67C2211yescharacteristic
165#449×C67C2211yescharacteristic
166#449×C67C2211yescharacteristic
167#449×C67C2211yescharacteristic
168#449×C67C2211yescharacteristic
169#449×C67C2211yescharacteristic, complemented
170#449×C67C2211yescharacteristic, complemented
171#447×C67C2211yescharacteristic
172#447×C67C2211yescharacteristic
173#442×C67C2211yescharacteristic
174#442×C67C2211yescharacteristic
175#442×C67C2211yescharacteristic, complemented
176#441×C67C2211yescharacteristic, complemented
177#440×C67C2211yescharacteristic
178#440×C67C2211yescharacteristic
179#440×C67C2211yescharacteristic, complemented
180#440×C67C2211yescharacteristic, complemented
181C4×Q16×C67C2211yescharacteristic, complemented
182C4×SD16×C67C2211yescharacteristic
183C4×SD16×C67C2211yescharacteristic
184C4×SD16×C67C2211yescharacteristic, complemented
185C4×SD16×C67C2211yescharacteristic, complemented
186C4×D8×C67C2211yescharacteristic
187C4×D8×C67C2211yescharacteristic
188C4×D8×C67C2211yescharacteristic, complemented
189#433×C67C2211yescharacteristic
190#433×C67C2211yescharacteristic
191#433×C67C2211yescharacteristic, complemented
192#433×C67C2211yescharacteristic, complemented
193#432×C67C2211yescharacteristic
194#432×C67C2211yescharacteristic, complemented
195#431×C67C2211yescharacteristic
196#431×C67C2211yescharacteristic, complemented
197#423×C67C2211yescharacteristic, complemented
198C2×C4⋊C8×C67C2211yescharacteristic, complemented
199#408×C67C2211yescharacteristic
200#408×C67C2211yescharacteristic
201#405×C67C2211yescharacteristic, complemented
202#405×C67C2211yescharacteristic, complemented
203C2×#41×C67—21no—
204C2×#41×C67—21no—
205C2×#41×C67C2311yescharacteristic
206C2×#41×C67C2311yescharacteristic
207C2×#41×C67C2311yescharacteristic
208C2×#41×C67C2311yescharacteristic
209C22×D4×C67C2311yescharacteristic
210C23×C4×C67—21no—
211C2×Q16×C67C2311yescharacteristic
212C2×Q16×C67C2311yescharacteristic
213C2×SD16×C67C2311yescharacteristic
214C2×SD16×C67C2311yescharacteristic
215C2×SD16×C67C2311yescharacteristic
216C2×SD16×C67C2311yescharacteristic
217C2×SD16×C67C2311yescharacteristic
218C2×SD16×C67C2311yescharacteristic
219C2×SD16×C67C2311yescharacteristic
220C2×SD16×C67C2311yescharacteristic
221C2×D8×C67C2311yescharacteristic
222C2×D8×C67C2311yescharacteristic
223C2×D8×C67C2311yescharacteristic
224C2×D8×C67C2311yescharacteristic
225C2×D8×C67C2311yescharacteristic
226C2×D8×C67C2311yescharacteristic
227C2×M16×C67C2311yescharacteristic
228C2×M16×C67C2311yescharacteristic
229C22×C8×C67C2311yescharacteristic
230C22×C8×C67C2311yescharacteristic
231C4⋊Q8×C67—21no—
232C4⋊Q8×C67C2311yescharacteristic
233C4⋊Q8×C67C2311yescharacteristic
234C4⋊Q8×C67C2311yescharacteristic
235#127×C67—21no—
236#127×C67C2311yescharacteristic
237#127×C67C2311yescharacteristic
238#127×C67C2311yescharacteristic
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#126×C67—21no—
247#126×C67—21no—
248#126×C67—21no—
249#126×C67—21no—
250#126×C67—21no—
251#125×C67—21no—
252#125×C67—21no—
253#125×C67—21no—
254#125×C67—21no—
255#125×C67—21no—
256#125×C67—21no—
257#125×C67—21no—
258#125×C67C2311yescharacteristic
259#125×C67C2311yescharacteristic
260#125×C67C2311yescharacteristic
261#125×C67C2311yescharacteristic
262#125×C67C2311yescharacteristic
263#125×C67C2311yescharacteristic
264#124×C67—21no—
265#124×C67—21no—
266#124×C67—21no—
267#124×C67—21no—
268#124×C67—21no—
269#124×C67C2311yescharacteristic
270#124×C67C2311yescharacteristic
271#124×C67C2311yescharacteristic
272#124×C67C2311yescharacteristic
273#123×C67—21no—
274#123×C67—21no—
275#123×C67—21no—
276#123×C67—21no—
277#123×C67—21no—
278#123×C67—21no—
279#123×C67—21no—
280#123×C67—21no—
281#123×C67—21no—
282#123×C67—21no—
283#123×C67—21no—
284#123×C67—21no—
285#123×C67—21no—
286#123×C67—21no—
287#123×C67—21no—
288#123×C67—21no—
289C22⋊Q8×C67—21no—
290C22⋊Q8×C67—21no—
291C22⋊Q8×C67—21no—
292C22⋊Q8×C67—21no—
293C22⋊Q8×C67—21no—
294C22⋊Q8×C67—21no—
295C22⋊Q8×C67—21no—
296C22⋊Q8×C67C2311yescharacteristic
297C22⋊Q8×C67C2311yescharacteristic
298C22⋊Q8×C67C2311yescharacteristic
299C22⋊Q8×C67C2311yescharacteristic
300C22⋊Q8×C67C2311yescharacteristic
301C22⋊Q8×C67C2311yescharacteristic
302#121×C67—21no—
303#121×C67—21no—
304#121×C67—21no—
305#121×C67—21no—
306#121×C67—21no—
307#121×C67—21no—
308#121×C67—21no—
309#121×C67—21no—
310#121×C67—21no—
311#121×C67—21no—
312#121×C67—21no—
313#121×C67—21no—
314#121×C67—21no—
315#121×C67—21no—
316#121×C67—21no—
317#121×C67—21no—
318#121×C67—21no—
319#121×C67—21no—
320#121×C67—21no—
321#121×C67—21no—
322#121×C67—21no—
323#121×C67—21no—
324#121×C67—21no—
325#121×C67C2311yescharacteristic
326#121×C67C2311yescharacteristic
327#121×C67C2311yescharacteristic
328#121×C67C2311yescharacteristic
329#121×C67C2311yescharacteristic
330#121×C67C2311yescharacteristic
331#121×C67C2311yescharacteristic
332#121×C67C2311yescharacteristic
333#121×C67C2311yescharacteristic
334#121×C67C2311yescharacteristic
335#120×C67—21no—
336#120×C67—21no—
337#120×C67—21no—
338#120×C67—21no—
339C4×Q8×C67D411yescharacteristic
340C4×Q8×C67D411yescharacteristic
341C4×Q8×C67C2311yescharacteristic
342C4×Q8×C67C2311yescharacteristic
343C4×Q8×C67C2311yescharacteristic
344C4×Q8×C67C2311yescharacteristic
345C4×Q8×C67C2311yescharacteristic
346C4×Q8×C67C2311yescharacteristic
347C4×D4×C67—21no—
348C4×D4×C67—21no—
349C4×D4×C67—21no—
350C4×D4×C67—21no—
351C4×D4×C67—21no—
352C4×D4×C67—21no—
353C4×D4×C67—21no—
354C4×D4×C67—21no—
355C4×D4×C67—21no—
356C4×D4×C67—21no—
357C4×D4×C67—21no—
358C4×D4×C67—21no—
359C4×D4×C67—21no—
360C4×D4×C67—21no—
361C4×D4×C67—21no—
362C4×D4×C67—21no—
363C4×D4×C67—21no—
364C4×D4×C67—21no—
365C4×D4×C67D411yescharacteristic
366C4×D4×C67D411yescharacteristic
367C4×D4×C67D411yescharacteristic
368C4×D4×C67D411yescharacteristic
369C4×D4×C67D411yescharacteristic
370C4×D4×C67D411yescharacteristic
371C4×D4×C67C2311yescharacteristic
372C4×D4×C67C2311yescharacteristic
373C4×D4×C67C2311yescharacteristic
374C4×D4×C67C2311yescharacteristic
375C4×D4×C67C2311yescharacteristic
376C4×D4×C67C2311yescharacteristic
377C4×D4×C67C2311yescharacteristic
378C4×D4×C67C2311yescharacteristic
379C4×D4×C67C2311yescharacteristic
380C4×D4×C67C2311yescharacteristic
381#117×C67—21no—
382#117×C67—21no—
383#117×C67—21no—
384#117×C67—21no—
385#117×C67—21no—
386#117×C67—21no—
387#117×C67—21no—
388#117×C67—21no—
389#117×C67—21no—
390#117×C67C2311yescharacteristic
391#117×C67C2311yescharacteristic
392#117×C67C2311yescharacteristic
393#117×C67C2311yescharacteristic
394C2×C4⋊C4×C67—21no—
395C2×C4⋊C4×C67—21no—
396C2×C4⋊C4×C67—21no—
397C2×C4⋊C4×C67—21no—
398C2×C4⋊C4×C67C2311yescharacteristic
399C2×C4⋊C4×C67C2311yescharacteristic
400C2×C4⋊C4×C67C2311yescharacteristic
401C2×C22⋊C4×C67—21no—
402C2×C42×C67—21no—
403C2×C42×C67C2311yescharacteristic
404C2×C42×C67C2311yescharacteristic
405C2×C42×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
422C4⋊C8×C67C2311yescharacteristic
423C4⋊C8×C67C2311yescharacteristic
424C4⋊C8×C67C2311yescharacteristic
425C4⋊C8×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#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
470#97×C67C2311yescharacteristic
471#97×C67C2311yescharacteristic
472#97×C67C2311yescharacteristic
473#97×C67C2311yescharacteristic
474C4×C8×C67C2311yescharacteristic
475C4×C8×C67C2311yescharacteristic
476C4×C8×C67C2311yescharacteristic
477C4×C8×C67C2311yescharacteristic
478C24×C67—21no—
479#41×C67—41no—
480#41×C67—41no—
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—82no—
488#41×C67—82no—
489C2×Q8×C67—21no—
490C2×Q8×C67—21no—
491C2×Q8×C67C2×D411yescharacteristic
492C2×Q8×C67C2411yescharacteristic
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×C67C2×D411yescharacteristic
518C2×D4×C67C2×D411yescharacteristic
519C2×D4×C67C2×D411yescharacteristic
520C2×D4×C67C2411yescharacteristic
521C2×D4×C67C2411yescharacteristic
522C2×D4×C67C2411yescharacteristic
523C2×D4×C67C2411yescharacteristic
524C2×D4×C67C2411yescharacteristic
525C22×C4×C67—21no—
526C22×C4×C67—21no—
527C22×C4×C67—21no—
528C22×C4×C67—21no—
529C22×C4×C67—21no—
530C22×C4×C67—21no—
531C22×C4×C67—21no—
532C22×C4×C67—21no—
533C22×C4×C67—21no—
534C22×C4×C67—21no—
535C22×C4×C67—21no—
536C22×C4×C67—21no—
537C22×C4×C67—21no—
538C22×C4×C67—21no—
539C22×C4×C67—21no—
540C22×C4×C67—21no—
541C22×C4×C67—82no—
542C22×C4×C67C2×D411yescharacteristic
543C22×C4×C67C2×D411yescharacteristic
544C22×C4×C67C2×D411yescharacteristic
545C22×C4×C67C2×D411yescharacteristic
546C22×C4×C67C2×D411yescharacteristic
547C22×C4×C67C2×D411yescharacteristic
548C22×C4×C67C2411yescharacteristic
549C22×C4×C67C2411yescharacteristic
550C22×C4×C67C2411yescharacteristic
551Q16×C67—41no—
552Q16×C67—41no—
553SD16×C67—41no—
554SD16×C67—41no—
555SD16×C67—41no—
556SD16×C67—41no—
557SD16×C67—41no—
558SD16×C67—41no—
559SD16×C67—41no—
560SD16×C67—41no—
561D8×C67—41no—
562D8×C67—41no—
563D8×C67—41no—
564D8×C67—41no—
565D8×C67—41no—
566D8×C67—41no—
567M16×C67—41no—
568M16×C67—41no—
569C2×C8×C67—41no—
570C2×C8×C67—41no—
571C2×C8×C67C2411yescharacteristic
572C2×C8×C67C2411yescharacteristic
573C2×C8×C67C2411yescharacteristic
574C2×C8×C67C2411yescharacteristic
575C2×C8×C67C2411yescharacteristic
576C2×C8×C67C2411yescharacteristic
577C2×C8×C67C2411yescharacteristic
578C2×C8×C67C2411yescharacteristic
579C4⋊C4×C67—21no—
580C4⋊C4×C67—21no—
581C4⋊C4×C67—21no—
582C4⋊C4×C67—21no—
583C4⋊C4×C67—21no—
584C4⋊C4×C67—21no—
585C4⋊C4×C67—21no—
586C4⋊C4×C67—21no—
587C4⋊C4×C67—21no—
588C4⋊C4×C67—21no—
589C4⋊C4×C67—21no—
590C4⋊C4×C67—21no—
591C4⋊C4×C67—21no—
592C4⋊C4×C67—21no—
593C4⋊C4×C67—21no—
594C4⋊C4×C67—21no—
595C4⋊C4×C67—21no—
596C4⋊C4×C67—21no—
597C4⋊C4×C67—21no—
598C4⋊C4×C67—21no—
599C4⋊C4×C67—21no—
600C4⋊C4×C67—21no—
601C4⋊C4×C67—21no—
602C4⋊C4×C67—21no—
603C4⋊C4×C67—21no—
604C4⋊C4×C67—21no—
605C4⋊C4×C67—21no—
606C4⋊C4×C67—21no—
607C4⋊C4×C67—21no—
608C4⋊C4×C67—21no—
609C4⋊C4×C67—21no—
610C4⋊C4×C67C2×D411yescharacteristic
611C4⋊C4×C67C2×D411yescharacteristic
612C4⋊C4×C67C2×D411yescharacteristic
613C4⋊C4×C67C2×D411yescharacteristic
614C4⋊C4×C67C2×D411yescharacteristic
615C4⋊C4×C67C2×D411yescharacteristic
616C4⋊C4×C67C2411yescharacteristic
617C4⋊C4×C67C2411yescharacteristic
618C4⋊C4×C67C2411yescharacteristic
619C4⋊C4×C67C2411yescharacteristic
620C4⋊C4×C67C2411yescharacteristic
621C4⋊C4×C67C2411yescharacteristic
622C4⋊C4×C67C2411yescharacteristic
623C4⋊C4×C67C2411yescharacteristic
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×C67—21no—
658C22⋊C4×C67—21no—
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×C67C2×D411yescharacteristic
673C42×C67C2×D411yescharacteristic
674C42×C67C2×D411yescharacteristic
675C42×C67C2×D411yescharacteristic
676C42×C67C2×D411yescharacteristic
677C42×C67C2×D411yescharacteristic
678C42×C67C2411yescharacteristic
679C42×C67C2411yescharacteristic
680C42×C67C2411yescharacteristic
681C42×C67C2411yescharacteristic
682C23×C67—21no—
683C23×C67—21no—
684C23×C67—21no—
685C23×C67—21no—
686C23×C67—21no—
687C23×C67—42no—
688C23×C67—81no—
689C23×C67—81no—
690C23×C67C22×D411yescharacteristic
691C23×C67C22×D411yescharacteristic
692C23×C67C22×D411yescharacteristic
693Q8×C67—21no—
694Q8×C67—21no—
695Q8×C67—21no—
696Q8×C67—21no—
697Q8×C67—21no—
698Q8×C67—21no—
699Q8×C67—41no—
700Q8×C67—81no—
701Q8×C67—81no—
702D4×C67—21no—
703D4×C67—21no—
704D4×C67—21no—
705D4×C67—21no—
706D4×C67—21no—
707D4×C67—21no—
708D4×C67—21no—
709D4×C67—21no—
710D4×C67—21no—
711D4×C67—21no—
712D4×C67—41no—
713D4×C67—41no—
714D4×C67—41no—
715D4×C67—42no—
716D4×C67—42no—
717D4×C67—42no—
718D4×C67—42no—
719D4×C67—81no—
720D4×C67—81no—
721D4×C67—81no—
722D4×C67—81no—
723D4×C67—81no—
724D4×C67—81no—
725D4×C67—81no—
726D4×C67—81no—
727D4×C67—81no—
728D4×C67—81no—
729D4×C67—81no—
730D4×C67—81no—
731D4×C67—81no—
732D4×C67—81no—
733D4×C67—81no—
734D4×C67—81no—
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—41no—
753C2×C4×C67—41no—
754C2×C4×C67—41no—
755C2×C4×C67—41no—
756C2×C4×C67—41no—
757C2×C4×C67—41no—
758C2×C4×C67—42no—
759C2×C4×C67—42no—
760C2×C4×C67—42no—
761C2×C4×C67—42no—
762C2×C4×C67—42no—
763C2×C4×C67—42no—
764C2×C4×C67—81no—
765C2×C4×C67—81no—
766C2×C4×C67—81no—
767C2×C4×C67—81no—
768C2×C4×C67—81no—
769C2×C4×C67—81no—
770C2×C4×C67—81no—
771C2×C4×C67—81no—
772C2×C4×C67—81no—
773C2×C4×C67—81no—
774C2×C4×C67C22×D411yescharacteristic
775C2×C4×C67C22×D411yescharacteristic
776C2×C4×C67C22×D411yescharacteristic
777C2×C4×C67C22×D411yescharacteristic
778C2×C4×C67C22×D411yescharacteristic
779C2×C4×C67C22×D411yescharacteristic
780C2×C4×C67C22×D411yescharacteristic
781C2×C4×C67C22×D411yescharacteristic
782C2×C4×C67C22×D411yescharacteristic
783C2×C4×C67C22×D411yescharacteristic
784C2×C4×C67C22×D411yescharacteristic
785C2×C4×C67C2511yescharacteristic
786C8×C67—21no—
787C8×C67—21no—
788C8×C67—21no—
789C8×C67—21no—
790C8×C67—21no—
791C8×C67—21no—
792C8×C67—21no—
793C8×C67—21no—
794C22×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—41no—
804C22×C67—41no—
805C22×C67—41no—
806C22×C67—41no—
807C22×C67—41no—
808C22×C67—41no—
809C22×C67—41no—
810C22×C67—41no—
811C22×C67—41no—
812C22×C67—41no—
813C22×C67—41no—
814C22×C67—41no—
815C22×C67—41no—
816C22×C67—41no—
817C22×C67—41no—
818C22×C67—84no—
819C22×C67C23×D411yescharacteristic
820C4×C67—21no—
821C4×C67—21no—
822C4×C67—21no—
823C4×C67—21no—
824C4×C67—21no—
825C4×C67—21no—
826C4×C67—21no—
827C4×C67—21no—
828C4×C67—21no—
829C4×C67—21no—
830C4×C67—21no—
831C4×C67—41no—
832C4×C67—41no—
833C4×C67—41no—
834C4×C67—41no—
835C4×C67—41no—
836C4×C67—41no—
837C4×C67—41no—
838C4×C67—41no—
839C4×C67—41no—
840C4×C67—41no—
841C4×C67—41no—
842C4×C67#58511yescharacteristic
843C4×C67#58511yescharacteristic
844#60997C6711yesmaximal, characteristic, direct product factor, Sylow
845C2×C67—41no—
846C2×C67—41no—
847C2×C67—41no—
848C2×C67—81no—
849C2×C67—81no—
850C2×C67—81no—
851C2×C67—81no—
852C2×C67—81no—
853C2×C67#344911yescharacteristic
854C2×C67#358411yescharacteristic
855C2×C67#358511yescharacteristic
856#3512C2×C6711yescharacteristic, complemented
857#3460C2×C6711yescharacteristic, complemented
858#3256C2×C6711yescharacteristic, complemented
859#3251C2×C6711yescharacteristic, complemented
860#3250C2×C6711yescharacteristic, complemented
861#3247C2×C6711yescharacteristic, complemented
862#3242C2×C6711yescharacteristic, complemented
863#3241C2×C6711yescharacteristic, complemented
864#3234C2×C6711yescharacteristic, complemented
865#3232C2×C6711yescharacteristic, complemented
866#3222C2×C6711yescharacteristic, complemented
867#3220C2×C6711yescharacteristic, complemented
868#3219C2×C6711yescharacteristic, complemented
869#3207C2×C6711yescharacteristic, complemented
870#3204C2×C6711yescharacteristic, complemented
871#3203C2×C6711yescharacteristic, complemented
872#3198C2×C6711yescharacteristic, complemented
873#3198C2×C6711yescharacteristic, complemented
874#3179C2×C6711yescharacteristic, complemented
875#3178C2×C6711yescharacteristic, complemented
876#3176C2×C6711yescharacteristic, complemented
877#3174C2×C6711yescharacteristic, complemented
878#3125C2×C6711yescharacteristic, complemented
879#3124C2×C6711yescharacteristic, complemented
880#3119C2×C6711yescharacteristic, complemented
881#3119C2×C6711yescharacteristic, complemented
882#3114C2×C6711yescharacteristic, complemented
883#3111C2×C6711yescharacteristic, complemented
884#3105C2×C6711yescharacteristic, complemented
885#3102C2×C6711yescharacteristic, complemented
886#2925C2×C6711yescharacteristic, complemented
887C67#6099711yescharacteristic, direct product factor, Sylow
888#553—21no—
889#553—21no—
890#553—21no—
891#553—21no—
892#553—21no—
893#553—21no—
894#552—21no—
895#552—21no—
896#544C22×C6711yescharacteristic
897#542—21no—
898#542C22×C6711yescharacteristic
899#542C22×C6711yescharacteristic
900#541C22×C6711yescharacteristic
901#541C22×C6711yescharacteristic, complemented
902#540—21no—
903#540C22×C6711yescharacteristic
904#540C22×C6711yescharacteristic
905#540C22×C6711yescharacteristic
906#540C22×C6711yescharacteristic, complemented
907#538—21no—
908#538—21no—
909#537C22×C6711yescharacteristic
910#537C22×C6711yescharacteristic
911#537C22×C6711yescharacteristic
912#535C22×C6711yescharacteristic
913#535C22×C6711yescharacteristic
914#532—21no—
915#532C22×C6711yescharacteristic
916#532C22×C6711yescharacteristic
917#532C22×C6711yescharacteristic, complemented
918#529—21no—
919#529C22×C6711yescharacteristic
920#529C22×C6711yescharacteristic
921#529C22×C6711yescharacteristic
922#529C22×C6711yescharacteristic
923#529C22×C6711yescharacteristic, complemented
924#529C22×C6711yescharacteristic, complemented
925C2×#125C22×C6711yescharacteristic, complemented
926#525—21no—
927#525—21no—
928#520C22×C6711yescharacteristic, complemented
929#520C22×C6711yescharacteristic, complemented
930C4×#41C22×C6711yescharacteristic
931C4×#41C22×C6711yescharacteristic
932C2×C4×D4C22×C6711yescharacteristic
933#501C22×C6711yescharacteristic, complemented
934#501C22×C6711yescharacteristic, complemented
935#499C22×C6711yescharacteristic, complemented
936#499C22×C6711yescharacteristic, complemented
937#497C22×C6711yescharacteristic
938#496C22×C6711yescharacteristic
939#493C22×C6711yescharacteristic
940#492C22×C6711yescharacteristic
941#491C22×C6711yescharacteristic, complemented
942#490C22×C6711yescharacteristic
943#490C22×C6711yescharacteristic
944#490C22×C6711yescharacteristic, complemented
945#488C22×C6711yescharacteristic
946#488C22×C6711yescharacteristic
947#487C22×C6711yescharacteristic, complemented
948#486C22×C6711yescharacteristic, complemented
949#485C22×C6711yescharacteristic
950#485C22×C6711yescharacteristic
951#484C22×C6711yescharacteristic
952#484C22×C6711yescharacteristic, complemented
953#483C22×C6711yescharacteristic
954#483C22×C6711yescharacteristic, complemented
955#482C22×C6711yescharacteristic
956#482C22×C6711yescharacteristic
957#481C22×C6711yescharacteristic
958#481C22×C6711yescharacteristic
959#481C22×C6711yescharacteristic
960#481C22×C6711yescharacteristic, complemented
961#480C22×C6711yescharacteristic
962#480C22×C6711yescharacteristic
963#480C22×C6711yescharacteristic
964#480C22×C6711yescharacteristic, complemented
965#479C22×C6711yescharacteristic, complemented
966#479C22×C6711yescharacteristic, complemented
967#479C22×C6711yescharacteristic, complemented
968#479C22×C6711yescharacteristic, complemented
969#478C22×C6711yescharacteristic
970#478C22×C6711yescharacteristic
971#478C22×C6711yescharacteristic
972#478C22×C6711yescharacteristic
973#478C22×C6711yescharacteristic, complemented
974#478C22×C6711yescharacteristic, complemented
975#478C22×C6711yescharacteristic, complemented
976#478C22×C6711yescharacteristic, complemented
977#477C22×C6711yescharacteristic, complemented
978#476C22×C6711yescharacteristic, complemented
979#475C22×C6711yescharacteristic, complemented
980#474C22×C6711yescharacteristic, complemented
981#470C22×C6711yescharacteristic, complemented
982#469C22×C6711yescharacteristic
983#469C22×C6711yescharacteristic
984#469C22×C6711yescharacteristic, complemented
985#468C22×C6711yescharacteristic
986#468C22×C6711yescharacteristic
987#468C22×C6711yescharacteristic, complemented
988#468C22×C6711yescharacteristic, complemented
989#467C22×C6711yescharacteristic, complemented
990#466C22×C6711yescharacteristic
991#466C22×C6711yescharacteristic
992#466C22×C6711yescharacteristic, complemented
993#465C22×C6711yescharacteristic
994#465C22×C6711yescharacteristic
995#465C22×C6711yescharacteristic, complemented
996#465C22×C6711yescharacteristic, complemented
997#464C22×C6711yescharacteristic
998#464C22×C6711yescharacteristic
999#464C22×C6711yescharacteristic, complemented
1000#464C22×C6711yescharacteristic, complemented
1001#463C22×C6711yescharacteristic
1002#463C22×C6711yescharacteristic
1003#463C22×C6711yescharacteristic
1004#463C22×C6711yescharacteristic
1005#463C22×C6711yescharacteristic
1006#463C22×C6711yescharacteristic
1007#463C22×C6711yescharacteristic, complemented
1008#463C22×C6711yescharacteristic, complemented
1009#460C22×C6711yescharacteristic
1010#460C22×C6711yescharacteristic
1011#459C22×C6711yescharacteristic
1012#459C22×C6711yescharacteristic
1013#452C22×C6711yescharacteristic
1014#452C22×C6711yescharacteristic
1015#452C22×C6711yescharacteristic, complemented
1016#452C22×C6711yescharacteristic, complemented
1017#450C22×C6711yescharacteristic
1018#450C22×C6711yescharacteristic
1019#449C22×C6711yescharacteristic
1020#449C22×C6711yescharacteristic
1021#449C22×C6711yescharacteristic
1022#449C22×C6711yescharacteristic
1023#449C22×C6711yescharacteristic
1024#449C22×C6711yescharacteristic
1025#449C22×C6711yescharacteristic, complemented
1026#449C22×C6711yescharacteristic, complemented
1027#447C22×C6711yescharacteristic
1028#447C22×C6711yescharacteristic
1029#442C22×C6711yescharacteristic
1030#442C22×C6711yescharacteristic
1031#442C22×C6711yescharacteristic, complemented
1032#441C22×C6711yescharacteristic, complemented
1033#440C22×C6711yescharacteristic
1034#440C22×C6711yescharacteristic
1035#440C22×C6711yescharacteristic, complemented
1036#440C22×C6711yescharacteristic, complemented
1037C4×Q16C22×C6711yescharacteristic, complemented
1038C4×SD16C22×C6711yescharacteristic
1039C4×SD16C22×C6711yescharacteristic
1040C4×SD16C22×C6711yescharacteristic, complemented
1041C4×SD16C22×C6711yescharacteristic, complemented
1042C4×D8C22×C6711yescharacteristic
1043C4×D8C22×C6711yescharacteristic
1044C4×D8C22×C6711yescharacteristic, complemented
1045#433C22×C6711yescharacteristic
1046#433C22×C6711yescharacteristic
1047#433C22×C6711yescharacteristic, complemented
1048#433C22×C6711yescharacteristic, complemented
1049#432C22×C6711yescharacteristic
1050#432C22×C6711yescharacteristic, complemented
1051#431C22×C6711yescharacteristic
1052#431C22×C6711yescharacteristic, complemented
1053#423C22×C6711yescharacteristic, complemented
1054C2×C4⋊C8C22×C6711yescharacteristic, complemented
1055#408C22×C6711yescharacteristic
1056#408C22×C6711yescharacteristic
1057#405C22×C6711yescharacteristic, complemented
1058#405C22×C6711yescharacteristic, complemented
1059C2×#41—21no—
1060C2×#41—21no—
1061C2×#41C23×C6711yescharacteristic
1062C2×#41C23×C6711yescharacteristic
1063C2×#41C23×C6711yescharacteristic
1064C2×#41C23×C6711yescharacteristic
1065C22×D4C23×C6711yescharacteristic
1066C23×C4—21no—
1067C2×Q16C23×C6711yescharacteristic
1068C2×Q16C23×C6711yescharacteristic
1069C2×SD16C23×C6711yescharacteristic
1070C2×SD16C23×C6711yescharacteristic
1071C2×SD16C23×C6711yescharacteristic
1072C2×SD16C23×C6711yescharacteristic
1073C2×SD16C23×C6711yescharacteristic
1074C2×SD16C23×C6711yescharacteristic
1075C2×SD16C23×C6711yescharacteristic
1076C2×SD16C23×C6711yescharacteristic
1077C2×D8C23×C6711yescharacteristic
1078C2×D8C23×C6711yescharacteristic
1079C2×D8C23×C6711yescharacteristic
1080C2×D8C23×C6711yescharacteristic
1081C2×D8C23×C6711yescharacteristic
1082C2×D8C23×C6711yescharacteristic
1083C2×M16C23×C6711yescharacteristic
1084C2×M16C23×C6711yescharacteristic
1085C22×C8C23×C6711yescharacteristic
1086C22×C8C23×C6711yescharacteristic
1087C4⋊Q8—21no—
1088C4⋊Q8C23×C6711yescharacteristic
1089C4⋊Q8C23×C6711yescharacteristic
1090C4⋊Q8C23×C6711yescharacteristic
1091#127—21no—
1092#127C23×C6711yescharacteristic
1093#127C23×C6711yescharacteristic
1094#127C23×C6711yescharacteristic
1095#126—21no—
1096#126—21no—
1097#126—21no—
1098#126—21no—
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#126—21no—
1103#126—21no—
1104#126—21no—
1105#126—21no—
1106#126—21no—
1107#125—21no—
1108#125—21no—
1109#125—21no—
1110#125—21no—
1111#125—21no—
1112#125—21no—
1113#125—21no—
1114#125C23×C6711yescharacteristic
1115#125C23×C6711yescharacteristic
1116#125C23×C6711yescharacteristic
1117#125C23×C6711yescharacteristic
1118#125C23×C6711yescharacteristic
1119#125C23×C6711yescharacteristic
1120#124—21no—
1121#124—21no—
1122#124—21no—
1123#124—21no—
1124#124—21no—
1125#124C23×C6711yescharacteristic
1126#124C23×C6711yescharacteristic
1127#124C23×C6711yescharacteristic
1128#124C23×C6711yescharacteristic
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8C23×C6711yescharacteristic
1153C22⋊Q8C23×C6711yescharacteristic
1154C22⋊Q8C23×C6711yescharacteristic
1155C22⋊Q8C23×C6711yescharacteristic
1156C22⋊Q8C23×C6711yescharacteristic
1157C22⋊Q8C23×C6711yescharacteristic
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#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#121—21no—
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#120—21no—
1192#120—21no—
1193#120—21no—
1194#120—21no—
1195C4×Q8D4×C6711yescharacteristic
1196C4×Q8D4×C6711yescharacteristic
1197C4×Q8C23×C6711yescharacteristic
1198C4×Q8C23×C6711yescharacteristic
1199C4×Q8C23×C6711yescharacteristic
1200C4×Q8C23×C6711yescharacteristic
1201C4×Q8C23×C6711yescharacteristic
1202C4×Q8C23×C6711yescharacteristic
1203C4×D4—21no—
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4—21no—
1221C4×D4D4×C6711yescharacteristic
1222C4×D4D4×C6711yescharacteristic
1223C4×D4D4×C6711yescharacteristic
1224C4×D4D4×C6711yescharacteristic
1225C4×D4D4×C6711yescharacteristic
1226C4×D4D4×C6711yescharacteristic
1227C4×D4C23×C6711yescharacteristic
1228C4×D4C23×C6711yescharacteristic
1229C4×D4C23×C6711yescharacteristic
1230C4×D4C23×C6711yescharacteristic
1231C4×D4C23×C6711yescharacteristic
1232C4×D4C23×C6711yescharacteristic
1233C4×D4C23×C6711yescharacteristic
1234C4×D4C23×C6711yescharacteristic
1235C4×D4C23×C6711yescharacteristic
1236C4×D4C23×C6711yescharacteristic
1237#117—21no—
1238#117—21no—
1239#117—21no—
1240#117—21no—
1241#117—21no—
1242#117—21no—
1243#117—21no—
1244#117—21no—
1245#117—21no—
1246#117C23×C6711yescharacteristic
1247#117C23×C6711yescharacteristic
1248#117C23×C6711yescharacteristic
1249#117C23×C6711yescharacteristic
1250C2×C4⋊C4—21no—
1251C2×C4⋊C4—21no—
1252C2×C4⋊C4—21no—
1253C2×C4⋊C4—21no—
1254C2×C4⋊C4C23×C6711yescharacteristic
1255C2×C4⋊C4C23×C6711yescharacteristic
1256C2×C4⋊C4C23×C6711yescharacteristic
1257C2×C22⋊C4—21no—
1258C2×C42—21no—
1259C2×C42C23×C6711yescharacteristic
1260C2×C42C23×C6711yescharacteristic
1261C2×C42C23×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#106C23×C6711yescharacteristic
1271#106C23×C6711yescharacteristic
1272#106C23×C6711yescharacteristic
1273#106C23×C6711yescharacteristic
1274#106C23×C6711yescharacteristic
1275#106C23×C6711yescharacteristic
1276#106C23×C6711yescharacteristic
1277#106C23×C6711yescharacteristic
1278C4⋊C8C23×C6711yescharacteristic
1279C4⋊C8C23×C6711yescharacteristic
1280C4⋊C8C23×C6711yescharacteristic
1281C4⋊C8C23×C6711yescharacteristic
1282C4⋊C8C23×C6711yescharacteristic
1283C4⋊C8C23×C6711yescharacteristic
1284C4⋊C8C23×C6711yescharacteristic
1285C4⋊C8C23×C6711yescharacteristic
1286#103C23×C6711yescharacteristic
1287#103C23×C6711yescharacteristic
1288#103C23×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#102C23×C6711yescharacteristic
1299#102C23×C6711yescharacteristic
1300#102C23×C6711yescharacteristic
1301#102C23×C6711yescharacteristic
1302#102C23×C6711yescharacteristic
1303#102C23×C6711yescharacteristic
1304#102C23×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
1318C22⋊C8C23×C6711yescharacteristic
1319C22⋊C8C23×C6711yescharacteristic
1320C22⋊C8C23×C6711yescharacteristic
1321C22⋊C8C23×C6711yescharacteristic
1322C22⋊C8C23×C6711yescharacteristic
1323C22⋊C8C23×C6711yescharacteristic
1324C22⋊C8C23×C6711yescharacteristic
1325C22⋊C8C23×C6711yescharacteristic
1326#97C23×C6711yescharacteristic
1327#97C23×C6711yescharacteristic
1328#97C23×C6711yescharacteristic
1329#97C23×C6711yescharacteristic
1330C4×C8C23×C6711yescharacteristic
1331C4×C8C23×C6711yescharacteristic
1332C4×C8C23×C6711yescharacteristic
1333C4×C8C23×C6711yescharacteristic
1334C24—21no—
1335#41—41no—
1336#41—41no—
1337#41—41no—
1338#41—41no—
1339#41—41no—
1340#41—41no—
1341#41—41no—
1342#41—41no—
1343#41—82no—
1344#41—82no—
1345C2×Q8—21no—
1346C2×Q8—21no—
1347C2×Q8C2×D4×C6711yescharacteristic
1348C2×Q8C24×C6711yescharacteristic
1349C2×Q8C24×C6711yescharacteristic
1350C2×Q8C24×C6711yescharacteristic
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
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—21no—
1370C2×D4—21no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4C2×D4×C6711yescharacteristic
1374C2×D4C2×D4×C6711yescharacteristic
1375C2×D4C2×D4×C6711yescharacteristic
1376C2×D4C24×C6711yescharacteristic
1377C2×D4C24×C6711yescharacteristic
1378C2×D4C24×C6711yescharacteristic
1379C2×D4C24×C6711yescharacteristic
1380C2×D4C24×C6711yescharacteristic
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—82no—
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×C4C24×C6711yescharacteristic
1405C22×C4C24×C6711yescharacteristic
1406C22×C4C24×C6711yescharacteristic
1407Q16—41no—
1408Q16—41no—
1409SD16—41no—
1410SD16—41no—
1411SD16—41no—
1412SD16—41no—
1413SD16—41no—
1414SD16—41no—
1415SD16—41no—
1416SD16—41no—
1417D8—41no—
1418D8—41no—
1419D8—41no—
1420D8—41no—
1421D8—41no—
1422D8—41no—
1423M16—41no—
1424M16—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⋊C4—21no—
1466C4⋊C4C2×D4×C6711yescharacteristic
1467C4⋊C4C2×D4×C6711yescharacteristic
1468C4⋊C4C2×D4×C6711yescharacteristic
1469C4⋊C4C2×D4×C6711yescharacteristic
1470C4⋊C4C2×D4×C6711yescharacteristic
1471C4⋊C4C2×D4×C6711yescharacteristic
1472C4⋊C4C24×C6711yescharacteristic
1473C4⋊C4C24×C6711yescharacteristic
1474C4⋊C4C24×C6711yescharacteristic
1475C4⋊C4C24×C6711yescharacteristic
1476C4⋊C4C24×C6711yescharacteristic
1477C4⋊C4C24×C6711yescharacteristic
1478C4⋊C4C24×C6711yescharacteristic
1479C4⋊C4C24×C6711yescharacteristic
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⋊C4C2×D4×C6711yescharacteristic
1516C22⋊C4C2×D4×C6711yescharacteristic
1517C22⋊C4C2×D4×C6711yescharacteristic
1518C22⋊C4C2×D4×C6711yescharacteristic
1519C22⋊C4C2×D4×C6711yescharacteristic
1520C22⋊C4C2×D4×C6711yescharacteristic
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42C2×D4×C6711yescharacteristic
1529C42C2×D4×C6711yescharacteristic
1530C42C2×D4×C6711yescharacteristic
1531C42C2×D4×C6711yescharacteristic
1532C42C2×D4×C6711yescharacteristic
1533C42C2×D4×C6711yescharacteristic
1534C42C24×C6711yescharacteristic
1535C42C24×C6711yescharacteristic
1536C42C24×C6711yescharacteristic
1537C42C24×C6711yescharacteristic
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—42no—
1544C23—81no—
1545C23—81no—
1546C23C22×D4×C6711yescharacteristic
1547C23C22×D4×C6711yescharacteristic
1548C23C22×D4×C6711yescharacteristic
1549Q8—21no—
1550Q8—21no—
1551Q8—21no—
1552Q8—21no—
1553Q8—21no—
1554Q8—21no—
1555Q8—41no—
1556Q8—81no—
1557Q8—81no—
1558D4—21no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—21no—
1563D4—21no—
1564D4—21no—
1565D4—21no—
1566D4—21no—
1567D4—21no—
1568D4—41no—
1569D4—41no—
1570D4—41no—
1571D4—42no—
1572D4—42no—
1573D4—42no—
1574D4—42no—
1575D4—81no—
1576D4—81no—
1577D4—81no—
1578D4—81no—
1579D4—81no—
1580D4—81no—
1581D4—81no—
1582D4—81no—
1583D4—81no—
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—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—42no—
1615C2×C4—42no—
1616C2×C4—42no—
1617C2×C4—42no—
1618C2×C4—42no—
1619C2×C4—42no—
1620C2×C4—81no—
1621C2×C4—81no—
1622C2×C4—81no—
1623C2×C4—81no—
1624C2×C4—81no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4C22×D4×C6711yescharacteristic
1631C2×C4C22×D4×C6711yescharacteristic
1632C2×C4C22×D4×C6711yescharacteristic
1633C2×C4C22×D4×C6711yescharacteristic
1634C2×C4C22×D4×C6711yescharacteristic
1635C2×C4C22×D4×C6711yescharacteristic
1636C2×C4C22×D4×C6711yescharacteristic
1637C2×C4C22×D4×C6711yescharacteristic
1638C2×C4C22×D4×C6711yescharacteristic
1639C2×C4C22×D4×C6711yescharacteristic
1640C2×C4C22×D4×C6711yescharacteristic
1641C2×C4C25×C6711yescharacteristic
1642C8—21no—
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—21no—
1649C8—21no—
1650C22—21no—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—84no—
1675C22C23×D4×C6711yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4#585×C6711yescharacteristic
1699C4#585×C6711yescharacteristic
1700C2—41no—
1701C2—41no—
1702C2—41no—
1703C2—81no—
1704C2—81no—
1705C2—81no—
1706C2—81no—
1707C2—81no—
1708C2C67×#344911yescharacteristic
1709C2C67×#358411yescharacteristic
1710C2C67×#358511yescharacteristic
subgroupG/H
center, socleC22×C67C23×D4
commutator, Frattini, cosocleC2×C4C25×C67
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C67 ◁ C4×#41×C67 ◁ G

Complements

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

NH ≅ G/Ntype
1. C67×#3512C2semidirect
2. C67×#3460C2semidirect
3. C67×#3256C2semidirect
4. C67×#3251C2semidirect
5. C67×#3250C2semidirect
6. C67×#3247C2semidirect
7. C67×#3242C2semidirect
8. C67×#3241C2semidirect
9. C67×#3234C2semidirect
10. C67×#3232C2semidirect
11. C67×#3222C2semidirect
12. C67×#3220C2semidirect
13. C67×#3219C2semidirect
14. C67×#3207C2semidirect
15. C67×#3204C2semidirect
16. C67×#3203C2semidirect
17. C67×#3198C2semidirect
18. C67×#3198C2semidirect
19. C67×#3179C2semidirect
20. C67×#3178C2semidirect
21. C67×#3176C2semidirect
22. C67×#3174C2semidirect
23. C67×#3125C2semidirect
24. C67×#3124C2semidirect
25. C67×#3119C2semidirect
26. C67×#3119C2semidirect
27. C67×#3114C2semidirect
28. C67×#3111C2semidirect
29. C67×#3105C2semidirect
30. C67×#3102C2semidirect
31. C67×#2925C2semidirect
45. #541×C67C22semidirect
50. #540×C67C22semidirect
61. #532×C67C22semidirect
67. #529×C67C22semidirect
68. #529×C67C22semidirect
69. C2×#125×C67C22semidirect
72. #520×C67C22semidirect
73. #520×C67C22semidirect
77. #501×C67C22semidirect
78. #501×C67C22semidirect
79. #499×C67C22semidirect
80. #499×C67C22semidirect
85. #491×C67C22semidirect
88. #490×C67C22semidirect
91. #487×C67C22semidirect
92. #486×C67C22semidirect
96. #484×C67C22semidirect
98. #483×C67C22semidirect
104. #481×C67C22semidirect
108. #480×C67C22semidirect
109. #479×C67C22semidirect
110. #479×C67C22semidirect
111. #479×C67C22semidirect
112. #479×C67C22semidirect
117. #478×C67C22semidirect
118. #478×C67C22semidirect
119. #478×C67C22semidirect
120. #478×C67C22semidirect
121. #477×C67C22semidirect
122. #476×C67C22semidirect
123. #475×C67C22semidirect
124. #474×C67C22semidirect
125. #470×C67C22semidirect
128. #469×C67C22semidirect
131. #468×C67C22semidirect
132. #468×C67C22semidirect
133. #467×C67C22semidirect
136. #466×C67C22semidirect
139. #465×C67C22semidirect
140. #465×C67C22semidirect
143. #464×C67C22semidirect
144. #464×C67C22semidirect
151. #463×C67C22semidirect
152. #463×C67C22semidirect
159. #452×C67C22semidirect
160. #452×C67C22semidirect
169. #449×C67C22semidirect
170. #449×C67C22semidirect
175. #442×C67C22semidirect
176. #441×C67C22semidirect
179. #440×C67C22semidirect
180. #440×C67C22semidirect
181. C4×Q16×C67C22semidirect
184. C4×SD16×C67C22semidirect
185. C4×SD16×C67C22semidirect
188. C4×D8×C67C22semidirect
191. #433×C67C22semidirect
192. #433×C67C22semidirect
194. #432×C67C22semidirect
196. #431×C67C22semidirect
197. #423×C67C22semidirect
198. C2×C4⋊C8×C67C22semidirect
201. #405×C67C22semidirect
202. #405×C67C22semidirect
844. #60997C67direct (N × H)
856. #3512C2×C67semidirect
857. #3460C2×C67semidirect
858. #3256C2×C67semidirect
859. #3251C2×C67semidirect
860. #3250C2×C67semidirect
861. #3247C2×C67semidirect
862. #3242C2×C67semidirect
863. #3241C2×C67semidirect
864. #3234C2×C67semidirect
865. #3232C2×C67semidirect
866. #3222C2×C67semidirect
867. #3220C2×C67semidirect
868. #3219C2×C67semidirect
869. #3207C2×C67semidirect
870. #3204C2×C67semidirect
871. #3203C2×C67semidirect
872. #3198C2×C67semidirect
873. #3198C2×C67semidirect
874. #3179C2×C67semidirect
875. #3178C2×C67semidirect
876. #3176C2×C67semidirect
877. #3174C2×C67semidirect
878. #3125C2×C67semidirect
879. #3124C2×C67semidirect
880. #3119C2×C67semidirect
881. #3119C2×C67semidirect
882. #3114C2×C67semidirect
883. #3111C2×C67semidirect
884. #3105C2×C67semidirect
885. #3102C2×C67semidirect
886. #2925C2×C67semidirect
887. C67#60997direct (N × H)
901. #541C22×C67semidirect
906. #540C22×C67semidirect
917. #532C22×C67semidirect
923. #529C22×C67semidirect
924. #529C22×C67semidirect
925. C2×#125C22×C67semidirect
928. #520C22×C67semidirect
929. #520C22×C67semidirect
933. #501C22×C67semidirect
934. #501C22×C67semidirect
935. #499C22×C67semidirect
936. #499C22×C67semidirect
941. #491C22×C67semidirect
944. #490C22×C67semidirect
947. #487C22×C67semidirect
948. #486C22×C67semidirect
952. #484C22×C67semidirect
954. #483C22×C67semidirect
960. #481C22×C67semidirect
964. #480C22×C67semidirect
965. #479C22×C67semidirect
966. #479C22×C67semidirect
967. #479C22×C67semidirect
968. #479C22×C67semidirect
973. #478C22×C67semidirect
974. #478C22×C67semidirect
975. #478C22×C67semidirect
976. #478C22×C67semidirect
977. #477C22×C67semidirect
978. #476C22×C67semidirect
979. #475C22×C67semidirect
980. #474C22×C67semidirect
981. #470C22×C67semidirect
984. #469C22×C67semidirect
987. #468C22×C67semidirect
988. #468C22×C67semidirect
989. #467C22×C67semidirect
992. #466C22×C67semidirect
995. #465C22×C67semidirect
996. #465C22×C67semidirect
999. #464C22×C67semidirect
1000. #464C22×C67semidirect
1007. #463C22×C67semidirect
1008. #463C22×C67semidirect
1015. #452C22×C67semidirect
1016. #452C22×C67semidirect
1025. #449C22×C67semidirect
1026. #449C22×C67semidirect
1031. #442C22×C67semidirect
1032. #441C22×C67semidirect
1035. #440C22×C67semidirect
1036. #440C22×C67semidirect
1037. C4×Q16C22×C67semidirect
1040. C4×SD16C22×C67semidirect
1041. C4×SD16C22×C67semidirect
1044. C4×D8C22×C67semidirect
1047. #433C22×C67semidirect
1048. #433C22×C67semidirect
1050. #432C22×C67semidirect
1052. #431C22×C67semidirect
1053. #423C22×C67semidirect
1054. C2×C4⋊C8C22×C67semidirect
1057. #405C22×C67semidirect
1058. #405C22×C67semidirect

Maximal subgroups

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

subgroupindex
C67×#35122
C67×#34602
C67×#32562
C67×#32512
C67×#32502
C67×#32472
C67×#32422
C67×#32412
C67×#32342
C67×#32322
C67×#32222
C67×#32202
C67×#32192
C67×#32072
C67×#32042
C67×#32032
C67×#31982
C67×#31792
C67×#31782
C67×#31762
C67×#31742
C67×#31252
C67×#31242
C67×#31192
C67×#31142
C67×#31112
C67×#31052
C67×#31022
C67×#29252
#6099767