Finite Group Databasebeta

← C67×#60973 #30740224

Subgroups — C67×#60973 #30740224

Order 17152.

1732 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3461C211yesmaximal, characteristic, complemented
2C67×#3460C211yesmaximal, characteristic, complemented
3C67×#3262C211yesmaximal, characteristic, complemented
4C67×#3260C211yesmaximal, characteristic, complemented
5C67×#3258C211yesmaximal, characteristic, complemented
6C67×#3257C211yesmaximal, characteristic, complemented
7C67×#3243C211yesmaximal, characteristic, complemented
8C67×#3243C211yesmaximal, characteristic, complemented
9C67×#3242C211yesmaximal, characteristic, complemented
10C67×#3241C211yesmaximal, characteristic, complemented
11C67×#3225C211yesmaximal, characteristic, complemented
12C67×#3224C211yesmaximal, characteristic, complemented
13C67×#3222C211yesmaximal, characteristic, complemented
14C67×#3221C211yesmaximal, characteristic, complemented
15C67×#3203C211yesmaximal, characteristic, complemented
16C67×#3201C211yesmaximal, characteristic, complemented
17C67×#3200C211yesmaximal, characteristic, complemented
18C67×#3198C211yesmaximal, characteristic, complemented
19C67×#3183C211yesmaximal, characteristic, complemented
20C67×#3182C211yesmaximal, characteristic, complemented
21C67×#3181C211yesmaximal, characteristic, complemented
22C67×#3180C211yesmaximal, characteristic, complemented
23C67×#3117C211yesmaximal, characteristic, complemented
24C67×#3116C211yesmaximal, characteristic, complemented
25C67×#3115C211yesmaximal, characteristic, complemented
26C67×#3114C211yesmaximal, characteristic, complemented
27C67×#3112C211yesmaximal, characteristic, complemented
28C67×#3111C211yesmaximal, characteristic, complemented
29C67×#3111C211yesmaximal, characteristic, complemented
30C67×#3110C211yesmaximal, characteristic, complemented
31C67×#2923C211yesmaximal, characteristic, complemented
32#544×C67C2211yescharacteristic
33#544×C67C2211yescharacteristic, complemented
34#542×C67—21no—
35#542×C67—21no—
36#542×C67C2211yescharacteristic
37#542×C67C2211yescharacteristic
38#542×C67C2211yescharacteristic
39#542×C67C2211yescharacteristic, complemented
40#541×C67—21no—
41#541×C67C2211yescharacteristic
42#541×C67C2211yescharacteristic, complemented
43#540×C67—21no—
44#540×C67C2211yescharacteristic
45#540×C67C2211yescharacteristic
46#539×C67—21no—
47#539×C67—21no—
48#538×C67—21no—
49#538×C67—21no—
50#537×C67C2211yescharacteristic
51#537×C67C2211yescharacteristic
52#536×C67C2211yescharacteristic
53#536×C67C2211yescharacteristic, complemented
54#535×C67C2211yescharacteristic
55#535×C67C2211yescharacteristic
56#533×C67—21no—
57#533×C67C2211yescharacteristic
58#533×C67C2211yescharacteristic, complemented
59#532×C67—21no—
60#532×C67C2211yescharacteristic
61#532×C67C2211yescharacteristic
62#529×C67—21no—
63#529×C67—21no—
64#529×C67—21no—
65#529×C67—21no—
66#529×C67C2211yescharacteristic
67#529×C67C2211yescharacteristic
68#529×C67C2211yescharacteristic
69#529×C67C2211yescharacteristic, complemented
70#525×C67—21no—
71#525×C67—21no—
72C4×#41×C67C2211yescharacteristic
73C4×#41×C67C2211yescharacteristic
74C4×#41×C67C2211yescharacteristic, complemented
75C2×C4×Q8×C67C2211yescharacteristic, complemented
76C2×C4×D4×C67C2211yescharacteristic
77#501×C67C2211yescharacteristic, complemented
78#501×C67C2211yescharacteristic, complemented
79#500×C67C2211yescharacteristic, complemented
80#499×C67C2211yescharacteristic, complemented
81#497×C67C2211yescharacteristic
82#496×C67C2211yescharacteristic
83#495×C67C2211yescharacteristic
84#492×C67C2211yescharacteristic
85#491×C67C2211yescharacteristic, complemented
86#490×C67C2211yescharacteristic
87#489×C67C2211yescharacteristic
88#489×C67C2211yescharacteristic, complemented
89#488×C67C2211yescharacteristic
90#488×C67C2211yescharacteristic, complemented
91#487×C67C2211yescharacteristic, complemented
92#486×C67C2211yescharacteristic
93#485×C67C2211yescharacteristic
94#485×C67C2211yescharacteristic
95#485×C67C2211yescharacteristic
96#485×C67C2211yescharacteristic, complemented
97#484×C67C2211yescharacteristic
98#484×C67C2211yescharacteristic
99#484×C67C2211yescharacteristic, complemented
100#483×C67C2211yescharacteristic
101#482×C67C2211yescharacteristic
102#482×C67C2211yescharacteristic
103#482×C67C2211yescharacteristic
104#482×C67C2211yescharacteristic, complemented
105#481×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, complemented
116#478×C67C2211yescharacteristic, complemented
117#477×C67C2211yescharacteristic, complemented
118#477×C67C2211yescharacteristic, complemented
119#477×C67C2211yescharacteristic, complemented
120#476×C67C2211yescharacteristic, complemented
121#475×C67C2211yescharacteristic, complemented
122#474×C67C2211yescharacteristic
123#474×C67C2211yescharacteristic
124#474×C67C2211yescharacteristic, complemented
125#470×C67C2211yescharacteristic, complemented
126#469×C67C2211yescharacteristic
127#468×C67C2211yescharacteristic
128#468×C67C2211yescharacteristic
129#468×C67C2211yescharacteristic
130#468×C67C2211yescharacteristic, complemented
131#468×C67C2211yescharacteristic, complemented
132#468×C67C2211yescharacteristic, complemented
133#467×C67C2211yescharacteristic, complemented
134#467×C67C2211yescharacteristic, complemented
135#466×C67C2211yescharacteristic
136#466×C67C2211yescharacteristic, complemented
137#465×C67C2211yescharacteristic
138#465×C67C2211yescharacteristic
139#465×C67C2211yescharacteristic
140#465×C67C2211yescharacteristic, complemented
141#464×C67C2211yescharacteristic
142#464×C67C2211yescharacteristic
143#464×C67C2211yescharacteristic
144#464×C67C2211yescharacteristic, complemented
145#463×C67C2211yescharacteristic
146#463×C67C2211yescharacteristic
147#463×C67C2211yescharacteristic
148#463×C67C2211yescharacteristic, complemented
149#462×C67C2211yescharacteristic, complemented
150#461×C67C2211yescharacteristic
151#461×C67C2211yescharacteristic
152#461×C67C2211yescharacteristic, complemented
153#460×C67C2211yescharacteristic
154#460×C67C2211yescharacteristic
155#460×C67C2211yescharacteristic
156#459×C67C2211yescharacteristic
157#452×C67C2211yescharacteristic
158#452×C67C2211yescharacteristic
159#452×C67C2211yescharacteristic
160#452×C67C2211yescharacteristic, complemented
161#451×C67C2211yescharacteristic, complemented
162#450×C67C2211yescharacteristic
163#450×C67C2211yescharacteristic
164#450×C67C2211yescharacteristic
165#449×C67C2211yescharacteristic
166#449×C67C2211yescharacteristic
167#449×C67C2211yescharacteristic
168#449×C67C2211yescharacteristic, complemented
169#448×C67C2211yescharacteristic
170#448×C67C2211yescharacteristic
171#448×C67C2211yescharacteristic, complemented
172#447×C67C2211yescharacteristic
173#442×C67C2211yescharacteristic
174#442×C67C2211yescharacteristic
175#442×C67C2211yescharacteristic, complemented
176#441×C67C2211yescharacteristic, complemented
177#441×C67C2211yescharacteristic, complemented
178#441×C67C2211yescharacteristic, complemented
179#440×C67C2211yescharacteristic
180#440×C67C2211yescharacteristic
181#440×C67C2211yescharacteristic
182#440×C67C2211yescharacteristic
183#440×C67C2211yescharacteristic
184#440×C67C2211yescharacteristic
185#440×C67C2211yescharacteristic, complemented
186#440×C67C2211yescharacteristic, complemented
187#440×C67C2211yescharacteristic, complemented
188#440×C67C2211yescharacteristic, complemented
189#433×C67C2211yescharacteristic
190#433×C67C2211yescharacteristic
191#433×C67C2211yescharacteristic, complemented
192#433×C67C2211yescharacteristic, complemented
193#432×C67C2211yescharacteristic
194#432×C67C2211yescharacteristic
195#432×C67C2211yescharacteristic, complemented
196#432×C67C2211yescharacteristic, complemented
197#424×C67C2211yescharacteristic, complemented
198#424×C67C2211yescharacteristic, complemented
199#408×C67C2211yescharacteristic
200#408×C67C2211yescharacteristic
201C4×M16×C67C2211yescharacteristic, complemented
202C2×#97×C67C2211yescharacteristic, complemented
203C2×#41×C67—21no—
204C2×#41×C67—21no—
205C2×#41×C67C2311yescharacteristic
206C2×#41×C67C2311yescharacteristic
207C2×#41×C67C2311yescharacteristic
208C22×Q8×C67C2311yescharacteristic
209C22×D4×C67C2311yescharacteristic
210C23×C4×C67—21no—
211C2×Q16×C67C2311yescharacteristic
212C2×Q16×C67C2311yescharacteristic
213C2×Q16×C67C2311yescharacteristic
214C2×SD16×C67C2311yescharacteristic
215C2×SD16×C67C2311yescharacteristic
216C2×SD16×C67C2311yescharacteristic
217C2×SD16×C67C2311yescharacteristic
218C2×SD16×C67C2311yescharacteristic
219C2×SD16×C67C2311yescharacteristic
220C2×SD16×C67C2311yescharacteristic
221C2×SD16×C67C2311yescharacteristic
222C2×SD16×C67C2311yescharacteristic
223C2×SD16×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×C67—21no—
233C4⋊Q8×C67—21no—
234C4⋊Q8×C67C2311yescharacteristic
235C4⋊Q8×C67C2311yescharacteristic
236C4⋊Q8×C67C2311yescharacteristic
237C4⋊Q8×C67C2311yescharacteristic
238C4⋊Q8×C67C2311yescharacteristic
239C4⋊Q8×C67C2311yescharacteristic
240#127×C67—21no—
241#127×C67C2311yescharacteristic
242#127×C67C2311yescharacteristic
243#126×C67—21no—
244#126×C67—21no—
245#126×C67—21no—
246#126×C67—21no—
247#126×C67—21no—
248#126×C67—21no—
249#126×C67—21no—
250#126×C67—21no—
251#126×C67—21no—
252#126×C67—21no—
253#126×C67—21no—
254#126×C67—21no—
255#125×C67—21no—
256#125×C67—21no—
257#125×C67—21no—
258#125×C67—21no—
259#125×C67—21no—
260#125×C67—21no—
261#125×C67—21no—
262#125×C67—21no—
263#125×C67C2311yescharacteristic
264#125×C67C2311yescharacteristic
265#125×C67C2311yescharacteristic
266#125×C67C2311yescharacteristic
267#124×C67—21no—
268#124×C67—21no—
269#124×C67—21no—
270#124×C67—21no—
271#124×C67—21no—
272#124×C67—21no—
273#124×C67—21no—
274#124×C67—21no—
275#124×C67C2311yescharacteristic
276#124×C67C2311yescharacteristic
277#124×C67C2311yescharacteristic
278#124×C67C2311yescharacteristic
279#123×C67—21no—
280#123×C67—21no—
281#123×C67—21no—
282#123×C67—21no—
283#123×C67—21no—
284#123×C67—21no—
285#123×C67—21no—
286#123×C67—21no—
287#123×C67—21no—
288#123×C67—21no—
289#123×C67—21no—
290#123×C67—21no—
291#123×C67—21no—
292#123×C67—21no—
293#123×C67—21no—
294#123×C67—21no—
295C22⋊Q8×C67—21no—
296C22⋊Q8×C67—21no—
297C22⋊Q8×C67—21no—
298C22⋊Q8×C67—21no—
299C22⋊Q8×C67—21no—
300C22⋊Q8×C67—21no—
301C22⋊Q8×C67—21no—
302C22⋊Q8×C67—21no—
303C22⋊Q8×C67—21no—
304C22⋊Q8×C67—21no—
305C22⋊Q8×C67—21no—
306C22⋊Q8×C67—21no—
307C22⋊Q8×C67—21no—
308C22⋊Q8×C67—21no—
309C22⋊Q8×C67C2311yescharacteristic
310C22⋊Q8×C67C2311yescharacteristic
311C22⋊Q8×C67C2311yescharacteristic
312C22⋊Q8×C67C2311yescharacteristic
313C22⋊Q8×C67C2311yescharacteristic
314C22⋊Q8×C67C2311yescharacteristic
315C22⋊Q8×C67C2311yescharacteristic
316C22⋊Q8×C67C2311yescharacteristic
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×C67—21no—
326#121×C67—21no—
327#121×C67—21no—
328#121×C67—21no—
329#121×C67—21no—
330#121×C67—21no—
331#121×C67C2311yescharacteristic
332#121×C67C2311yescharacteristic
333#121×C67C2311yescharacteristic
334#121×C67C2311yescharacteristic
335#121×C67C2311yescharacteristic
336#121×C67C2311yescharacteristic
337#121×C67C2311yescharacteristic
338#121×C67C2311yescharacteristic
339#120×C67—21no—
340#120×C67—21no—
341#120×C67—21no—
342#120×C67—21no—
343C4×Q8×C67—21no—
344C4×Q8×C67—21no—
345C4×Q8×C67—21no—
346C4×Q8×C67—21no—
347C4×Q8×C67D411yescharacteristic
348C4×Q8×C67D411yescharacteristic
349C4×Q8×C67C2311yescharacteristic
350C4×Q8×C67C2311yescharacteristic
351C4×Q8×C67C2311yescharacteristic
352C4×Q8×C67C2311yescharacteristic
353C4×Q8×C67C2311yescharacteristic
354C4×Q8×C67C2311yescharacteristic
355C4×Q8×C67C2311yescharacteristic
356C4×Q8×C67C2311yescharacteristic
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×C67—21no—
366C4×D4×C67—21no—
367C4×D4×C67—21no—
368C4×D4×C67—21no—
369C4×D4×C67D411yescharacteristic
370C4×D4×C67D411yescharacteristic
371C4×D4×C67D411yescharacteristic
372C4×D4×C67D411yescharacteristic
373C4×D4×C67D411yescharacteristic
374C4×D4×C67D411yescharacteristic
375C4×D4×C67C2311yescharacteristic
376C4×D4×C67C2311yescharacteristic
377C4×D4×C67C2311yescharacteristic
378C4×D4×C67C2311yescharacteristic
379C4×D4×C67C2311yescharacteristic
380C4×D4×C67C2311yescharacteristic
381C4×D4×C67C2311yescharacteristic
382C4×D4×C67C2311yescharacteristic
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×C67—21no—
391#117×C67C2311yescharacteristic
392#117×C67C2311yescharacteristic
393#117×C67C2311yescharacteristic
394#117×C67C2311yescharacteristic
395#117×C67C2311yescharacteristic
396C2×C4⋊C4×C67—21no—
397C2×C4⋊C4×C67C2311yescharacteristic
398C2×C4⋊C4×C67C2311yescharacteristic
399C2×C22⋊C4×C67—21no—
400C2×C42×C67—21no—
401C2×C42×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#107×C67C2311yescharacteristic
415#107×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#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
470#97×C67C2311yescharacteristic
471#97×C67C2311yescharacteristic
472#97×C67C2311yescharacteristic
473#97×C67C2311yescharacteristic
474#97×C67C2311yescharacteristic
475#97×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—82no—
486#41×C67—82no—
487C2×Q8×C67—21no—
488C2×Q8×C67—21no—
489C2×Q8×C67—21no—
490C2×Q8×C67—21no—
491C2×Q8×C67—21no—
492C2×Q8×C67—41no—
493C2×Q8×C67—41no—
494C2×Q8×C67C2×D411yescharacteristic
495C2×Q8×C67C2411yescharacteristic
496C2×Q8×C67C2411yescharacteristic
497C2×Q8×C67C2411yescharacteristic
498C2×Q8×C67C2411yescharacteristic
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—41no—
515C2×D4×C67—41no—
516C2×D4×C67C2×D411yescharacteristic
517C2×D4×C67C2×D411yescharacteristic
518C2×D4×C67C2×D411yescharacteristic
519C2×D4×C67C2411yescharacteristic
520C2×D4×C67C2411yescharacteristic
521C2×D4×C67C2411yescharacteristic
522C2×D4×C67C2411yescharacteristic
523C22×C4×C67—21no—
524C22×C4×C67—21no—
525C22×C4×C67—21no—
526C22×C4×C67—21no—
527C22×C4×C67—21no—
528C22×C4×C67—21no—
529C22×C4×C67—21no—
530C22×C4×C67—21no—
531C22×C4×C67—21no—
532C22×C4×C67—21no—
533C22×C4×C67—21no—
534C22×C4×C67—21no—
535C22×C4×C67—21no—
536C22×C4×C67—82no—
537C22×C4×C67C2×D411yescharacteristic
538C22×C4×C67C2×D411yescharacteristic
539C22×C4×C67C2×D411yescharacteristic
540C22×C4×C67C2×D411yescharacteristic
541C22×C4×C67C2×D411yescharacteristic
542C22×C4×C67C2×D411yescharacteristic
543C22×C4×C67C2411yescharacteristic
544C22×C4×C67C2411yescharacteristic
545C22×C4×C67C2411yescharacteristic
546Q16×C67—41no—
547Q16×C67—41no—
548Q16×C67—41no—
549SD16×C67—41no—
550SD16×C67—41no—
551SD16×C67—41no—
552SD16×C67—41no—
553SD16×C67—41no—
554SD16×C67—41no—
555SD16×C67—41no—
556SD16×C67—41no—
557SD16×C67—41no—
558SD16×C67—41no—
559D8×C67—41no—
560D8×C67—41no—
561D8×C67—41no—
562M16×C67—41no—
563M16×C67—41no—
564C2×C8×C67—41no—
565C2×C8×C67—41no—
566C2×C8×C67C2411yescharacteristic
567C2×C8×C67C2411yescharacteristic
568C2×C8×C67C2411yescharacteristic
569C2×C8×C67C2411yescharacteristic
570C2×C8×C67C2411yescharacteristic
571C2×C8×C67C2411yescharacteristic
572C2×C8×C67C2411yescharacteristic
573C2×C8×C67C2411yescharacteristic
574C4⋊C4×C67—21no—
575C4⋊C4×C67—21no—
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×C67—21no—
607C4⋊C4×C67—21no—
608C4⋊C4×C67C2×D411yescharacteristic
609C4⋊C4×C67C2×D411yescharacteristic
610C4⋊C4×C67C2×D411yescharacteristic
611C4⋊C4×C67C2×D411yescharacteristic
612C4⋊C4×C67C2×D411yescharacteristic
613C4⋊C4×C67C2×D411yescharacteristic
614C4⋊C4×C67C2411yescharacteristic
615C4⋊C4×C67C2411yescharacteristic
616C4⋊C4×C67C2411yescharacteristic
617C4⋊C4×C67C2411yescharacteristic
618C4⋊C4×C67C2411yescharacteristic
619C4⋊C4×C67C2411yescharacteristic
620C4⋊C4×C67C2411yescharacteristic
621C4⋊C4×C67C2411yescharacteristic
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×C67C2×D411yescharacteristic
657C22⋊C4×C67C2×D411yescharacteristic
658C22⋊C4×C67C2×D411yescharacteristic
659C22⋊C4×C67C2×D411yescharacteristic
660C22⋊C4×C67C2×D411yescharacteristic
661C22⋊C4×C67C2×D411yescharacteristic
662C42×C67—21no—
663C42×C67—21no—
664C42×C67—21no—
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—42no—
687C23×C67—81no—
688C23×C67—81no—
689C23×C67C22×D411yescharacteristic
690C23×C67C22×D411yescharacteristic
691C23×C67C22×D411yescharacteristic
692Q8×C67—21no—
693Q8×C67—21no—
694Q8×C67—21no—
695Q8×C67—21no—
696Q8×C67—21no—
697Q8×C67—21no—
698Q8×C67—21no—
699Q8×C67—21no—
700Q8×C67—41no—
701Q8×C67—42no—
702Q8×C67—81no—
703Q8×C67—81no—
704Q8×C67—81no—
705Q8×C67—81no—
706D4×C67—21no—
707D4×C67—21no—
708D4×C67—21no—
709D4×C67—21no—
710D4×C67—21no—
711D4×C67—21no—
712D4×C67—21no—
713D4×C67—21no—
714D4×C67—41no—
715D4×C67—41no—
716D4×C67—41no—
717D4×C67—42no—
718D4×C67—42no—
719D4×C67—42no—
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—
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—41no—
751C2×C4×C67—41no—
752C2×C4×C67—41no—
753C2×C4×C67—41no—
754C2×C4×C67—41no—
755C2×C4×C67—41no—
756C2×C4×C67—42no—
757C2×C4×C67—42no—
758C2×C4×C67—42no—
759C2×C4×C67—42no—
760C2×C4×C67—42no—
761C2×C4×C67—42no—
762C2×C4×C67—42no—
763C2×C4×C67—81no—
764C2×C4×C67—81no—
765C2×C4×C67—81no—
766C2×C4×C67—81no—
767C2×C4×C67—81no—
768C2×C4×C67—81no—
769C2×C4×C67C22×D411yescharacteristic
770C2×C4×C67C22×D411yescharacteristic
771C2×C4×C67C22×D411yescharacteristic
772C2×C4×C67C22×D411yescharacteristic
773C2×C4×C67C22×D411yescharacteristic
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×C67C2511yescharacteristic
781C8×C67—21no—
782C8×C67—21no—
783C8×C67—21no—
784C8×C67—21no—
785C8×C67—21no—
786C8×C67—21no—
787C8×C67—21no—
788C8×C67—21no—
789C22×C67—21no—
790C22×C67—21no—
791C22×C67—21no—
792C22×C67—21no—
793C22×C67—21no—
794C22×C67—21no—
795C22×C67—21no—
796C22×C67—21no—
797C22×C67—21no—
798C22×C67—41no—
799C22×C67—41no—
800C22×C67—41no—
801C22×C67—41no—
802C22×C67—41no—
803C22×C67—41no—
804C22×C67—41no—
805C22×C67—41no—
806C22×C67—41no—
807C22×C67—41no—
808C22×C67—41no—
809C22×C67—41no—
810C22×C67—84no—
811C22×C67C23×D411yescharacteristic
812C4×C67—21no—
813C4×C67—21no—
814C4×C67—21no—
815C4×C67—21no—
816C4×C67—21no—
817C4×C67—21no—
818C4×C67—21no—
819C4×C67—21no—
820C4×C67—21no—
821C4×C67—21no—
822C4×C67—21no—
823C4×C67—41no—
824C4×C67—41no—
825C4×C67—41no—
826C4×C67—41no—
827C4×C67—41no—
828C4×C67—41no—
829C4×C67—41no—
830C4×C67—41no—
831C4×C67—41no—
832C4×C67—41no—
833C4×C67—41no—
834C4×C67—41no—
835C4×C67#58511yescharacteristic
836C4×C67#58511yescharacteristic
837#60973C6711yesmaximal, characteristic, direct product factor, Sylow
838C2×C67—41no—
839C2×C67—41no—
840C2×C67—41no—
841C2×C67—81no—
842C2×C67—81no—
843C2×C67—81no—
844C2×C67—81no—
845C2×C67#344911yescharacteristic
846C2×C67#358511yescharacteristic
847C2×C67#358611yescharacteristic
848#3461C2×C6711yescharacteristic, complemented
849#3460C2×C6711yescharacteristic, complemented
850#3262C2×C6711yescharacteristic, complemented
851#3260C2×C6711yescharacteristic, complemented
852#3258C2×C6711yescharacteristic, complemented
853#3257C2×C6711yescharacteristic, complemented
854#3243C2×C6711yescharacteristic, complemented
855#3243C2×C6711yescharacteristic, complemented
856#3242C2×C6711yescharacteristic, complemented
857#3241C2×C6711yescharacteristic, complemented
858#3225C2×C6711yescharacteristic, complemented
859#3224C2×C6711yescharacteristic, complemented
860#3222C2×C6711yescharacteristic, complemented
861#3221C2×C6711yescharacteristic, complemented
862#3203C2×C6711yescharacteristic, complemented
863#3201C2×C6711yescharacteristic, complemented
864#3200C2×C6711yescharacteristic, complemented
865#3198C2×C6711yescharacteristic, complemented
866#3183C2×C6711yescharacteristic, complemented
867#3182C2×C6711yescharacteristic, complemented
868#3181C2×C6711yescharacteristic, complemented
869#3180C2×C6711yescharacteristic, complemented
870#3117C2×C6711yescharacteristic, complemented
871#3116C2×C6711yescharacteristic, complemented
872#3115C2×C6711yescharacteristic, complemented
873#3114C2×C6711yescharacteristic, complemented
874#3112C2×C6711yescharacteristic, complemented
875#3111C2×C6711yescharacteristic, complemented
876#3111C2×C6711yescharacteristic, complemented
877#3110C2×C6711yescharacteristic, complemented
878#2923C2×C6711yescharacteristic, complemented
879C67#6097311yescharacteristic, direct product factor, Sylow
880#544C22×C6711yescharacteristic
881#544C22×C6711yescharacteristic, complemented
882#542—21no—
883#542—21no—
884#542C22×C6711yescharacteristic
885#542C22×C6711yescharacteristic
886#542C22×C6711yescharacteristic
887#542C22×C6711yescharacteristic, complemented
888#541—21no—
889#541C22×C6711yescharacteristic
890#541C22×C6711yescharacteristic, complemented
891#540—21no—
892#540C22×C6711yescharacteristic
893#540C22×C6711yescharacteristic
894#539—21no—
895#539—21no—
896#538—21no—
897#538—21no—
898#537C22×C6711yescharacteristic
899#537C22×C6711yescharacteristic
900#536C22×C6711yescharacteristic
901#536C22×C6711yescharacteristic, complemented
902#535C22×C6711yescharacteristic
903#535C22×C6711yescharacteristic
904#533—21no—
905#533C22×C6711yescharacteristic
906#533C22×C6711yescharacteristic, complemented
907#532—21no—
908#532C22×C6711yescharacteristic
909#532C22×C6711yescharacteristic
910#529—21no—
911#529—21no—
912#529—21no—
913#529—21no—
914#529C22×C6711yescharacteristic
915#529C22×C6711yescharacteristic
916#529C22×C6711yescharacteristic
917#529C22×C6711yescharacteristic, complemented
918#525—21no—
919#525—21no—
920C4×#41C22×C6711yescharacteristic
921C4×#41C22×C6711yescharacteristic
922C4×#41C22×C6711yescharacteristic, complemented
923C2×C4×Q8C22×C6711yescharacteristic, complemented
924C2×C4×D4C22×C6711yescharacteristic
925#501C22×C6711yescharacteristic, complemented
926#501C22×C6711yescharacteristic, complemented
927#500C22×C6711yescharacteristic, complemented
928#499C22×C6711yescharacteristic, complemented
929#497C22×C6711yescharacteristic
930#496C22×C6711yescharacteristic
931#495C22×C6711yescharacteristic
932#492C22×C6711yescharacteristic
933#491C22×C6711yescharacteristic, complemented
934#490C22×C6711yescharacteristic
935#489C22×C6711yescharacteristic
936#489C22×C6711yescharacteristic, complemented
937#488C22×C6711yescharacteristic
938#488C22×C6711yescharacteristic, complemented
939#487C22×C6711yescharacteristic, complemented
940#486C22×C6711yescharacteristic
941#485C22×C6711yescharacteristic
942#485C22×C6711yescharacteristic
943#485C22×C6711yescharacteristic
944#485C22×C6711yescharacteristic, complemented
945#484C22×C6711yescharacteristic
946#484C22×C6711yescharacteristic
947#484C22×C6711yescharacteristic, complemented
948#483C22×C6711yescharacteristic
949#482C22×C6711yescharacteristic
950#482C22×C6711yescharacteristic
951#482C22×C6711yescharacteristic
952#482C22×C6711yescharacteristic, complemented
953#481C22×C6711yescharacteristic
954#480C22×C6711yescharacteristic
955#480C22×C6711yescharacteristic
956#480C22×C6711yescharacteristic, complemented
957#479C22×C6711yescharacteristic, complemented
958#479C22×C6711yescharacteristic, complemented
959#479C22×C6711yescharacteristic, complemented
960#479C22×C6711yescharacteristic, complemented
961#478C22×C6711yescharacteristic
962#478C22×C6711yescharacteristic
963#478C22×C6711yescharacteristic, complemented
964#478C22×C6711yescharacteristic, complemented
965#477C22×C6711yescharacteristic, complemented
966#477C22×C6711yescharacteristic, complemented
967#477C22×C6711yescharacteristic, complemented
968#476C22×C6711yescharacteristic, complemented
969#475C22×C6711yescharacteristic, complemented
970#474C22×C6711yescharacteristic
971#474C22×C6711yescharacteristic
972#474C22×C6711yescharacteristic, complemented
973#470C22×C6711yescharacteristic, complemented
974#469C22×C6711yescharacteristic
975#468C22×C6711yescharacteristic
976#468C22×C6711yescharacteristic
977#468C22×C6711yescharacteristic
978#468C22×C6711yescharacteristic, complemented
979#468C22×C6711yescharacteristic, complemented
980#468C22×C6711yescharacteristic, complemented
981#467C22×C6711yescharacteristic, complemented
982#467C22×C6711yescharacteristic, complemented
983#466C22×C6711yescharacteristic
984#466C22×C6711yescharacteristic, complemented
985#465C22×C6711yescharacteristic
986#465C22×C6711yescharacteristic
987#465C22×C6711yescharacteristic
988#465C22×C6711yescharacteristic, complemented
989#464C22×C6711yescharacteristic
990#464C22×C6711yescharacteristic
991#464C22×C6711yescharacteristic
992#464C22×C6711yescharacteristic, complemented
993#463C22×C6711yescharacteristic
994#463C22×C6711yescharacteristic
995#463C22×C6711yescharacteristic
996#463C22×C6711yescharacteristic, complemented
997#462C22×C6711yescharacteristic, complemented
998#461C22×C6711yescharacteristic
999#461C22×C6711yescharacteristic
1000#461C22×C6711yescharacteristic, complemented
1001#460C22×C6711yescharacteristic
1002#460C22×C6711yescharacteristic
1003#460C22×C6711yescharacteristic
1004#459C22×C6711yescharacteristic
1005#452C22×C6711yescharacteristic
1006#452C22×C6711yescharacteristic
1007#452C22×C6711yescharacteristic
1008#452C22×C6711yescharacteristic, complemented
1009#451C22×C6711yescharacteristic, complemented
1010#450C22×C6711yescharacteristic
1011#450C22×C6711yescharacteristic
1012#450C22×C6711yescharacteristic
1013#449C22×C6711yescharacteristic
1014#449C22×C6711yescharacteristic
1015#449C22×C6711yescharacteristic
1016#449C22×C6711yescharacteristic, complemented
1017#448C22×C6711yescharacteristic
1018#448C22×C6711yescharacteristic
1019#448C22×C6711yescharacteristic, complemented
1020#447C22×C6711yescharacteristic
1021#442C22×C6711yescharacteristic
1022#442C22×C6711yescharacteristic
1023#442C22×C6711yescharacteristic, complemented
1024#441C22×C6711yescharacteristic, complemented
1025#441C22×C6711yescharacteristic, complemented
1026#441C22×C6711yescharacteristic, complemented
1027#440C22×C6711yescharacteristic
1028#440C22×C6711yescharacteristic
1029#440C22×C6711yescharacteristic
1030#440C22×C6711yescharacteristic
1031#440C22×C6711yescharacteristic
1032#440C22×C6711yescharacteristic
1033#440C22×C6711yescharacteristic, complemented
1034#440C22×C6711yescharacteristic, complemented
1035#440C22×C6711yescharacteristic, complemented
1036#440C22×C6711yescharacteristic, complemented
1037#433C22×C6711yescharacteristic
1038#433C22×C6711yescharacteristic
1039#433C22×C6711yescharacteristic, complemented
1040#433C22×C6711yescharacteristic, complemented
1041#432C22×C6711yescharacteristic
1042#432C22×C6711yescharacteristic
1043#432C22×C6711yescharacteristic, complemented
1044#432C22×C6711yescharacteristic, complemented
1045#424C22×C6711yescharacteristic, complemented
1046#424C22×C6711yescharacteristic, complemented
1047#408C22×C6711yescharacteristic
1048#408C22×C6711yescharacteristic
1049C4×M16C22×C6711yescharacteristic, complemented
1050C2×#97C22×C6711yescharacteristic, complemented
1051C2×#41—21no—
1052C2×#41—21no—
1053C2×#41C23×C6711yescharacteristic
1054C2×#41C23×C6711yescharacteristic
1055C2×#41C23×C6711yescharacteristic
1056C22×Q8C23×C6711yescharacteristic
1057C22×D4C23×C6711yescharacteristic
1058C23×C4—21no—
1059C2×Q16C23×C6711yescharacteristic
1060C2×Q16C23×C6711yescharacteristic
1061C2×Q16C23×C6711yescharacteristic
1062C2×SD16C23×C6711yescharacteristic
1063C2×SD16C23×C6711yescharacteristic
1064C2×SD16C23×C6711yescharacteristic
1065C2×SD16C23×C6711yescharacteristic
1066C2×SD16C23×C6711yescharacteristic
1067C2×SD16C23×C6711yescharacteristic
1068C2×SD16C23×C6711yescharacteristic
1069C2×SD16C23×C6711yescharacteristic
1070C2×SD16C23×C6711yescharacteristic
1071C2×SD16C23×C6711yescharacteristic
1072C2×D8C23×C6711yescharacteristic
1073C2×D8C23×C6711yescharacteristic
1074C2×D8C23×C6711yescharacteristic
1075C2×M16C23×C6711yescharacteristic
1076C2×M16C23×C6711yescharacteristic
1077C22×C8C23×C6711yescharacteristic
1078C22×C8C23×C6711yescharacteristic
1079C4⋊Q8—21no—
1080C4⋊Q8—21no—
1081C4⋊Q8—21no—
1082C4⋊Q8C23×C6711yescharacteristic
1083C4⋊Q8C23×C6711yescharacteristic
1084C4⋊Q8C23×C6711yescharacteristic
1085C4⋊Q8C23×C6711yescharacteristic
1086C4⋊Q8C23×C6711yescharacteristic
1087C4⋊Q8C23×C6711yescharacteristic
1088#127—21no—
1089#127C23×C6711yescharacteristic
1090#127C23×C6711yescharacteristic
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#126—21no—
1103#125—21no—
1104#125—21no—
1105#125—21no—
1106#125—21no—
1107#125—21no—
1108#125—21no—
1109#125—21no—
1110#125—21no—
1111#125C23×C6711yescharacteristic
1112#125C23×C6711yescharacteristic
1113#125C23×C6711yescharacteristic
1114#125C23×C6711yescharacteristic
1115#124—21no—
1116#124—21no—
1117#124—21no—
1118#124—21no—
1119#124—21no—
1120#124—21no—
1121#124—21no—
1122#124—21no—
1123#124C23×C6711yescharacteristic
1124#124C23×C6711yescharacteristic
1125#124C23×C6711yescharacteristic
1126#124C23×C6711yescharacteristic
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—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8C23×C6711yescharacteristic
1158C22⋊Q8C23×C6711yescharacteristic
1159C22⋊Q8C23×C6711yescharacteristic
1160C22⋊Q8C23×C6711yescharacteristic
1161C22⋊Q8C23×C6711yescharacteristic
1162C22⋊Q8C23×C6711yescharacteristic
1163C22⋊Q8C23×C6711yescharacteristic
1164C22⋊Q8C23×C6711yescharacteristic
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#121C23×C6711yescharacteristic
1180#121C23×C6711yescharacteristic
1181#121C23×C6711yescharacteristic
1182#121C23×C6711yescharacteristic
1183#121C23×C6711yescharacteristic
1184#121C23×C6711yescharacteristic
1185#121C23×C6711yescharacteristic
1186#121C23×C6711yescharacteristic
1187#120—21no—
1188#120—21no—
1189#120—21no—
1190#120—21no—
1191C4×Q8—21no—
1192C4×Q8—21no—
1193C4×Q8—21no—
1194C4×Q8—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×Q8C23×C6711yescharacteristic
1204C4×Q8C23×C6711yescharacteristic
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×D4D4×C6711yescharacteristic
1218C4×D4D4×C6711yescharacteristic
1219C4×D4D4×C6711yescharacteristic
1220C4×D4D4×C6711yescharacteristic
1221C4×D4D4×C6711yescharacteristic
1222C4×D4D4×C6711yescharacteristic
1223C4×D4C23×C6711yescharacteristic
1224C4×D4C23×C6711yescharacteristic
1225C4×D4C23×C6711yescharacteristic
1226C4×D4C23×C6711yescharacteristic
1227C4×D4C23×C6711yescharacteristic
1228C4×D4C23×C6711yescharacteristic
1229C4×D4C23×C6711yescharacteristic
1230C4×D4C23×C6711yescharacteristic
1231#117—21no—
1232#117—21no—
1233#117—21no—
1234#117—21no—
1235#117—21no—
1236#117—21no—
1237#117—21no—
1238#117—21no—
1239#117C23×C6711yescharacteristic
1240#117C23×C6711yescharacteristic
1241#117C23×C6711yescharacteristic
1242#117C23×C6711yescharacteristic
1243#117C23×C6711yescharacteristic
1244C2×C4⋊C4—21no—
1245C2×C4⋊C4C23×C6711yescharacteristic
1246C2×C4⋊C4C23×C6711yescharacteristic
1247C2×C22⋊C4—21no—
1248C2×C42—21no—
1249C2×C42—21no—
1250C2×C42—21no—
1251C2×C42C23×C6711yescharacteristic
1252C2×C42C23×C6711yescharacteristic
1253C2×C42C23×C6711yescharacteristic
1254#107C23×C6711yescharacteristic
1255#107C23×C6711yescharacteristic
1256#107C23×C6711yescharacteristic
1257#107C23×C6711yescharacteristic
1258#107C23×C6711yescharacteristic
1259#107C23×C6711yescharacteristic
1260#107C23×C6711yescharacteristic
1261#107C23×C6711yescharacteristic
1262#107C23×C6711yescharacteristic
1263#107C23×C6711yescharacteristic
1264#106C23×C6711yescharacteristic
1265#106C23×C6711yescharacteristic
1266#106C23×C6711yescharacteristic
1267#106C23×C6711yescharacteristic
1268#106C23×C6711yescharacteristic
1269#106C23×C6711yescharacteristic
1270C4⋊C8C23×C6711yescharacteristic
1271C4⋊C8C23×C6711yescharacteristic
1272C4⋊C8C23×C6711yescharacteristic
1273C4⋊C8C23×C6711yescharacteristic
1274C4⋊C8C23×C6711yescharacteristic
1275C4⋊C8C23×C6711yescharacteristic
1276C4⋊C8C23×C6711yescharacteristic
1277C4⋊C8C23×C6711yescharacteristic
1278#103C23×C6711yescharacteristic
1279#103C23×C6711yescharacteristic
1280#103C23×C6711yescharacteristic
1281#103C23×C6711yescharacteristic
1282#103C23×C6711yescharacteristic
1283#103C23×C6711yescharacteristic
1284#103C23×C6711yescharacteristic
1285#103C23×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#102C23×C6711yescharacteristic
1295#102C23×C6711yescharacteristic
1296#102C23×C6711yescharacteristic
1297#102C23×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
1310C22⋊C8C23×C6711yescharacteristic
1311C22⋊C8C23×C6711yescharacteristic
1312C22⋊C8C23×C6711yescharacteristic
1313C22⋊C8C23×C6711yescharacteristic
1314C22⋊C8C23×C6711yescharacteristic
1315C22⋊C8C23×C6711yescharacteristic
1316C22⋊C8C23×C6711yescharacteristic
1317C22⋊C8C23×C6711yescharacteristic
1318#97C23×C6711yescharacteristic
1319#97C23×C6711yescharacteristic
1320#97C23×C6711yescharacteristic
1321#97C23×C6711yescharacteristic
1322#97C23×C6711yescharacteristic
1323#97C23×C6711yescharacteristic
1324C4×C8C23×C6711yescharacteristic
1325C4×C8C23×C6711yescharacteristic
1326C24—21no—
1327#41—41no—
1328#41—41no—
1329#41—41no—
1330#41—41no—
1331#41—41no—
1332#41—41no—
1333#41—82no—
1334#41—82no—
1335C2×Q8—21no—
1336C2×Q8—21no—
1337C2×Q8—21no—
1338C2×Q8—21no—
1339C2×Q8—21no—
1340C2×Q8—41no—
1341C2×Q8—41no—
1342C2×Q8C2×D4×C6711yescharacteristic
1343C2×Q8C24×C6711yescharacteristic
1344C2×Q8C24×C6711yescharacteristic
1345C2×Q8C24×C6711yescharacteristic
1346C2×Q8C24×C6711yescharacteristic
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
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—41no—
1363C2×D4—41no—
1364C2×D4C2×D4×C6711yescharacteristic
1365C2×D4C2×D4×C6711yescharacteristic
1366C2×D4C2×D4×C6711yescharacteristic
1367C2×D4C24×C6711yescharacteristic
1368C2×D4C24×C6711yescharacteristic
1369C2×D4C24×C6711yescharacteristic
1370C2×D4C24×C6711yescharacteristic
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—82no—
1385C22×C4C2×D4×C6711yescharacteristic
1386C22×C4C2×D4×C6711yescharacteristic
1387C22×C4C2×D4×C6711yescharacteristic
1388C22×C4C2×D4×C6711yescharacteristic
1389C22×C4C2×D4×C6711yescharacteristic
1390C22×C4C2×D4×C6711yescharacteristic
1391C22×C4C24×C6711yescharacteristic
1392C22×C4C24×C6711yescharacteristic
1393C22×C4C24×C6711yescharacteristic
1394Q16—41no—
1395Q16—41no—
1396Q16—41no—
1397SD16—41no—
1398SD16—41no—
1399SD16—41no—
1400SD16—41no—
1401SD16—41no—
1402SD16—41no—
1403SD16—41no—
1404SD16—41no—
1405SD16—41no—
1406SD16—41no—
1407D8—41no—
1408D8—41no—
1409D8—41no—
1410M16—41no—
1411M16—41no—
1412C2×C8—41no—
1413C2×C8—41no—
1414C2×C8C24×C6711yescharacteristic
1415C2×C8C24×C6711yescharacteristic
1416C2×C8C24×C6711yescharacteristic
1417C2×C8C24×C6711yescharacteristic
1418C2×C8C24×C6711yescharacteristic
1419C2×C8C24×C6711yescharacteristic
1420C2×C8C24×C6711yescharacteristic
1421C2×C8C24×C6711yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
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⋊C4C2×D4×C6711yescharacteristic
1457C4⋊C4C2×D4×C6711yescharacteristic
1458C4⋊C4C2×D4×C6711yescharacteristic
1459C4⋊C4C2×D4×C6711yescharacteristic
1460C4⋊C4C2×D4×C6711yescharacteristic
1461C4⋊C4C2×D4×C6711yescharacteristic
1462C4⋊C4C24×C6711yescharacteristic
1463C4⋊C4C24×C6711yescharacteristic
1464C4⋊C4C24×C6711yescharacteristic
1465C4⋊C4C24×C6711yescharacteristic
1466C4⋊C4C24×C6711yescharacteristic
1467C4⋊C4C24×C6711yescharacteristic
1468C4⋊C4C24×C6711yescharacteristic
1469C4⋊C4C24×C6711yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
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⋊C4C2×D4×C6711yescharacteristic
1505C22⋊C4C2×D4×C6711yescharacteristic
1506C22⋊C4C2×D4×C6711yescharacteristic
1507C22⋊C4C2×D4×C6711yescharacteristic
1508C22⋊C4C2×D4×C6711yescharacteristic
1509C22⋊C4C2×D4×C6711yescharacteristic
1510C42—21no—
1511C42—21no—
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42C2×D4×C6711yescharacteristic
1521C42C2×D4×C6711yescharacteristic
1522C42C2×D4×C6711yescharacteristic
1523C42C2×D4×C6711yescharacteristic
1524C42C2×D4×C6711yescharacteristic
1525C42C2×D4×C6711yescharacteristic
1526C42C24×C6711yescharacteristic
1527C42C24×C6711yescharacteristic
1528C42C24×C6711yescharacteristic
1529C42C24×C6711yescharacteristic
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—42no—
1535C23—81no—
1536C23—81no—
1537C23C22×D4×C6711yescharacteristic
1538C23C22×D4×C6711yescharacteristic
1539C23C22×D4×C6711yescharacteristic
1540Q8—21no—
1541Q8—21no—
1542Q8—21no—
1543Q8—21no—
1544Q8—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—41no—
1549Q8—42no—
1550Q8—81no—
1551Q8—81no—
1552Q8—81no—
1553Q8—81no—
1554D4—21no—
1555D4—21no—
1556D4—21no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—41no—
1563D4—41no—
1564D4—41no—
1565D4—42no—
1566D4—42no—
1567D4—42no—
1568D4—81no—
1569D4—81no—
1570D4—81no—
1571D4—81no—
1572D4—81no—
1573D4—81no—
1574D4—81no—
1575D4—81no—
1576D4—81no—
1577D4—81no—
1578D4—81no—
1579D4—81no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—42no—
1605C2×C4—42no—
1606C2×C4—42no—
1607C2×C4—42no—
1608C2×C4—42no—
1609C2×C4—42no—
1610C2×C4—42no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4C22×D4×C6711yescharacteristic
1618C2×C4C22×D4×C6711yescharacteristic
1619C2×C4C22×D4×C6711yescharacteristic
1620C2×C4C22×D4×C6711yescharacteristic
1621C2×C4C22×D4×C6711yescharacteristic
1622C2×C4C22×D4×C6711yescharacteristic
1623C2×C4C22×D4×C6711yescharacteristic
1624C2×C4C22×D4×C6711yescharacteristic
1625C2×C4C22×D4×C6711yescharacteristic
1626C2×C4C22×D4×C6711yescharacteristic
1627C2×C4C22×D4×C6711yescharacteristic
1628C2×C4C25×C6711yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—21no—
1635C8—21no—
1636C8—21no—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—84no—
1659C22C23×D4×C6711yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—21no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4#585×C6711yescharacteristic
1684C4#585×C6711yescharacteristic
1685C2—41no—
1686C2—41no—
1687C2—41no—
1688C2—81no—
1689C2—81no—
1690C2—81no—
1691C2—81no—
1692C2C67×#344911yescharacteristic
1693C2C67×#358511yescharacteristic
1694C2C67×#358611yescharacteristic
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×#3461C2semidirect
2. C67×#3460C2semidirect
3. C67×#3262C2semidirect
4. C67×#3260C2semidirect
5. C67×#3258C2semidirect
6. C67×#3257C2semidirect
7. C67×#3243C2semidirect
8. C67×#3243C2semidirect
9. C67×#3242C2semidirect
10. C67×#3241C2semidirect
11. C67×#3225C2semidirect
12. C67×#3224C2semidirect
13. C67×#3222C2semidirect
14. C67×#3221C2semidirect
15. C67×#3203C2semidirect
16. C67×#3201C2semidirect
17. C67×#3200C2semidirect
18. C67×#3198C2semidirect
19. C67×#3183C2semidirect
20. C67×#3182C2semidirect
21. C67×#3181C2semidirect
22. C67×#3180C2semidirect
23. C67×#3117C2semidirect
24. C67×#3116C2semidirect
25. C67×#3115C2semidirect
26. C67×#3114C2semidirect
27. C67×#3112C2semidirect
28. C67×#3111C2semidirect
29. C67×#3111C2semidirect
30. C67×#3110C2semidirect
31. C67×#2923C2semidirect
33. #544×C67C22semidirect
39. #542×C67C22semidirect
42. #541×C67C22semidirect
53. #536×C67C22semidirect
58. #533×C67C22semidirect
69. #529×C67C22semidirect
74. C4×#41×C67C22semidirect
75. C2×C4×Q8×C67C22semidirect
77. #501×C67C22semidirect
78. #501×C67C22semidirect
79. #500×C67C22semidirect
80. #499×C67C22semidirect
85. #491×C67C22semidirect
88. #489×C67C22semidirect
90. #488×C67C22semidirect
91. #487×C67C22semidirect
96. #485×C67C22semidirect
99. #484×C67C22semidirect
104. #482×C67C22semidirect
108. #480×C67C22semidirect
109. #479×C67C22semidirect
110. #479×C67C22semidirect
111. #479×C67C22semidirect
112. #479×C67C22semidirect
115. #478×C67C22semidirect
116. #478×C67C22semidirect
117. #477×C67C22semidirect
118. #477×C67C22semidirect
119. #477×C67C22semidirect
120. #476×C67C22semidirect
121. #475×C67C22semidirect
124. #474×C67C22semidirect
125. #470×C67C22semidirect
130. #468×C67C22semidirect
131. #468×C67C22semidirect
132. #468×C67C22semidirect
133. #467×C67C22semidirect
134. #467×C67C22semidirect
136. #466×C67C22semidirect
140. #465×C67C22semidirect
144. #464×C67C22semidirect
148. #463×C67C22semidirect
149. #462×C67C22semidirect
152. #461×C67C22semidirect
160. #452×C67C22semidirect
161. #451×C67C22semidirect
168. #449×C67C22semidirect
171. #448×C67C22semidirect
175. #442×C67C22semidirect
176. #441×C67C22semidirect
177. #441×C67C22semidirect
178. #441×C67C22semidirect
185. #440×C67C22semidirect
186. #440×C67C22semidirect
187. #440×C67C22semidirect
188. #440×C67C22semidirect
191. #433×C67C22semidirect
192. #433×C67C22semidirect
195. #432×C67C22semidirect
196. #432×C67C22semidirect
197. #424×C67C22semidirect
198. #424×C67C22semidirect
201. C4×M16×C67C22semidirect
202. C2×#97×C67C22semidirect
837. #60973C67direct (N × H)
848. #3461C2×C67semidirect
849. #3460C2×C67semidirect
850. #3262C2×C67semidirect
851. #3260C2×C67semidirect
852. #3258C2×C67semidirect
853. #3257C2×C67semidirect
854. #3243C2×C67semidirect
855. #3243C2×C67semidirect
856. #3242C2×C67semidirect
857. #3241C2×C67semidirect
858. #3225C2×C67semidirect
859. #3224C2×C67semidirect
860. #3222C2×C67semidirect
861. #3221C2×C67semidirect
862. #3203C2×C67semidirect
863. #3201C2×C67semidirect
864. #3200C2×C67semidirect
865. #3198C2×C67semidirect
866. #3183C2×C67semidirect
867. #3182C2×C67semidirect
868. #3181C2×C67semidirect
869. #3180C2×C67semidirect
870. #3117C2×C67semidirect
871. #3116C2×C67semidirect
872. #3115C2×C67semidirect
873. #3114C2×C67semidirect
874. #3112C2×C67semidirect
875. #3111C2×C67semidirect
876. #3111C2×C67semidirect
877. #3110C2×C67semidirect
878. #2923C2×C67semidirect
879. C67#60973direct (N × H)
881. #544C22×C67semidirect
887. #542C22×C67semidirect
890. #541C22×C67semidirect
901. #536C22×C67semidirect
906. #533C22×C67semidirect
917. #529C22×C67semidirect
922. C4×#41C22×C67semidirect
923. C2×C4×Q8C22×C67semidirect
925. #501C22×C67semidirect
926. #501C22×C67semidirect
927. #500C22×C67semidirect
928. #499C22×C67semidirect
933. #491C22×C67semidirect
936. #489C22×C67semidirect
938. #488C22×C67semidirect
939. #487C22×C67semidirect
944. #485C22×C67semidirect
947. #484C22×C67semidirect
952. #482C22×C67semidirect
956. #480C22×C67semidirect
957. #479C22×C67semidirect
958. #479C22×C67semidirect
959. #479C22×C67semidirect
960. #479C22×C67semidirect
963. #478C22×C67semidirect
964. #478C22×C67semidirect
965. #477C22×C67semidirect
966. #477C22×C67semidirect
967. #477C22×C67semidirect
968. #476C22×C67semidirect
969. #475C22×C67semidirect
972. #474C22×C67semidirect
973. #470C22×C67semidirect
978. #468C22×C67semidirect
979. #468C22×C67semidirect
980. #468C22×C67semidirect
981. #467C22×C67semidirect
982. #467C22×C67semidirect
984. #466C22×C67semidirect
988. #465C22×C67semidirect
992. #464C22×C67semidirect
996. #463C22×C67semidirect
997. #462C22×C67semidirect
1000. #461C22×C67semidirect
1008. #452C22×C67semidirect
1009. #451C22×C67semidirect
1016. #449C22×C67semidirect
1019. #448C22×C67semidirect
1023. #442C22×C67semidirect
1024. #441C22×C67semidirect
1025. #441C22×C67semidirect
1026. #441C22×C67semidirect
1033. #440C22×C67semidirect
1034. #440C22×C67semidirect
1035. #440C22×C67semidirect
1036. #440C22×C67semidirect
1039. #433C22×C67semidirect
1040. #433C22×C67semidirect
1043. #432C22×C67semidirect
1044. #432C22×C67semidirect
1045. #424C22×C67semidirect
1046. #424C22×C67semidirect
1049. C4×M16C22×C67semidirect
1050. C2×#97C22×C67semidirect

Maximal subgroups

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

subgroupindex
C67×#34612
C67×#34602
C67×#32622
C67×#32602
C67×#32582
C67×#32572
C67×#32432
C67×#32422
C67×#32412
C67×#32252
C67×#32242
C67×#32222
C67×#32212
C67×#32032
C67×#32012
C67×#32002
C67×#31982
C67×#31832
C67×#31822
C67×#31812
C67×#31802
C67×#31172
C67×#31162
C67×#31152
C67×#31142
C67×#31122
C67×#31112
C67×#31102
C67×#29232
#6097367