Finite Group Databasebeta

← C67×#60998 #30740249

Subgroups — C67×#60998 #30740249

Order 17152.

1750 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3510C211yesmaximal, characteristic, complemented
2C67×#3460C211yesmaximal, characteristic, complemented
3C67×#3256C211yesmaximal, characteristic, complemented
4C67×#3251C211yesmaximal, characteristic, complemented
5C67×#3250C211yesmaximal, characteristic, complemented
6C67×#3247C211yesmaximal, characteristic, complemented
7C67×#3244C211yesmaximal, characteristic, complemented
8C67×#3243C211yesmaximal, characteristic, complemented
9C67×#3240C211yesmaximal, characteristic, complemented
10C67×#3228C211yesmaximal, characteristic, complemented
11C67×#3224C211yesmaximal, characteristic, complemented
12C67×#3224C211yesmaximal, characteristic, complemented
13C67×#3213C211yesmaximal, characteristic, complemented
14C67×#3211C211yesmaximal, characteristic, complemented
15C67×#3201C211yesmaximal, characteristic, complemented
16C67×#3200C211yesmaximal, characteristic, complemented
17C67×#3199C211yesmaximal, characteristic, complemented
18C67×#3198C211yesmaximal, characteristic, complemented
19C67×#3179C211yesmaximal, characteristic, complemented
20C67×#3179C211yesmaximal, characteristic, complemented
21C67×#3175C211yesmaximal, characteristic, complemented
22C67×#3173C211yesmaximal, characteristic, complemented
23C67×#3126C211yesmaximal, characteristic, complemented
24C67×#3122C211yesmaximal, characteristic, complemented
25C67×#3121C211yesmaximal, characteristic, complemented
26C67×#3118C211yesmaximal, characteristic, complemented
27C67×#3114C211yesmaximal, characteristic, complemented
28C67×#3111C211yesmaximal, characteristic, complemented
29C67×#3105C211yesmaximal, characteristic, complemented
30C67×#3102C211yesmaximal, characteristic, complemented
31C67×#2925C211yesmaximal, characteristic, complemented
32#559×C67—21no—
33#559×C67—21no—
34#556×C67—21no—
35#556×C67—21no—
36#551×C67—21no—
37#551×C67—21no—
38#551×C67—21no—
39#551×C67—21no—
40#544×C67C2211yescharacteristic, complemented
41#542×C67—21no—
42#542×C67C2211yescharacteristic
43#542×C67C2211yescharacteristic
44#542×C67C2211yescharacteristic
45#542×C67C2211yescharacteristic, complemented
46#542×C67C2211yescharacteristic, complemented
47#542×C67C2211yescharacteristic, complemented
48#540×C67—21no—
49#540×C67C2211yescharacteristic
50#540×C67C2211yescharacteristic, complemented
51#538×C67—21no—
52#538×C67—21no—
53#537×C67C2211yescharacteristic
54#536×C67C2211yescharacteristic
55#535×C67C2211yescharacteristic
56#535×C67C2211yescharacteristic
57#535×C67C2211yescharacteristic, complemented
58#533×C67C2211yescharacteristic, complemented
59#532×C67—21no—
60#532×C67C2211yescharacteristic
61#532×C67C2211yescharacteristic, complemented
62#529×C67—21no—
63#529×C67C2211yescharacteristic
64#529×C67C2211yescharacteristic
65#529×C67C2211yescharacteristic
66#529×C67C2211yescharacteristic, complemented
67#529×C67C2211yescharacteristic, complemented
68#529×C67C2211yescharacteristic, complemented
69C2×#124×C67C2211yescharacteristic, complemented
70#525×C67—21no—
71#525×C67—21no—
72#519×C67C2211yescharacteristic, complemented
73#518×C67C2211yescharacteristic, complemented
74C4×#41×C67C2211yescharacteristic
75C4×#41×C67C2211yescharacteristic, complemented
76C2×C4×D4×C67C2211yescharacteristic, complemented
77#501×C67C2211yescharacteristic, complemented
78#501×C67C2211yescharacteristic, complemented
79#500×C67C2211yescharacteristic, complemented
80#498×C67C2211yescharacteristic, complemented
81#496×C67C2211yescharacteristic
82#496×C67C2211yescharacteristic
83#495×C67C2211yescharacteristic
84#495×C67C2211yescharacteristic
85#489×C67C2211yescharacteristic, complemented
86#489×C67C2211yescharacteristic, complemented
87#489×C67C2211yescharacteristic, complemented
88#489×C67C2211yescharacteristic, complemented
89#488×C67C2211yescharacteristic, complemented
90#488×C67C2211yescharacteristic, complemented
91#486×C67C2211yescharacteristic, complemented
92#486×C67C2211yescharacteristic, complemented
93#485×C67C2211yescharacteristic, complemented
94#485×C67C2211yescharacteristic, complemented
95#485×C67C2211yescharacteristic, complemented
96#485×C67C2211yescharacteristic, complemented
97#484×C67C2211yescharacteristic, complemented
98#483×C67C2211yescharacteristic, complemented
99#482×C67C2211yescharacteristic
100#482×C67C2211yescharacteristic
101#482×C67C2211yescharacteristic
102#482×C67C2211yescharacteristic
103#482×C67C2211yescharacteristic
104#482×C67C2211yescharacteristic
105#482×C67C2211yescharacteristic, complemented
106#482×C67C2211yescharacteristic, complemented
107#481×C67C2211yescharacteristic
108#480×C67C2211yescharacteristic
109#479×C67C2211yescharacteristic, complemented
110#479×C67C2211yescharacteristic, complemented
111#479×C67C2211yescharacteristic, complemented
112#479×C67C2211yescharacteristic, complemented
113#478×C67C2211yescharacteristic, complemented
114#478×C67C2211yescharacteristic, complemented
115#478×C67C2211yescharacteristic, complemented
116#478×C67C2211yescharacteristic, complemented
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, complemented
130#468×C67C2211yescharacteristic, complemented
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, complemented
138#465×C67C2211yescharacteristic, complemented
139#465×C67C2211yescharacteristic, complemented
140#465×C67C2211yescharacteristic, complemented
141#464×C67C2211yescharacteristic, complemented
142#464×C67C2211yescharacteristic, complemented
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, complemented
154#460×C67C2211yescharacteristic, complemented
155#459×C67C2211yescharacteristic
156#459×C67C2211yescharacteristic
157#452×C67C2211yescharacteristic, complemented
158#452×C67C2211yescharacteristic, complemented
159#451×C67C2211yescharacteristic, complemented
160#450×C67C2211yescharacteristic, complemented
161#450×C67C2211yescharacteristic, complemented
162#450×C67C2211yescharacteristic, complemented
163#449×C67C2211yescharacteristic
164#449×C67C2211yescharacteristic
165#448×C67C2211yescharacteristic
166#448×C67C2211yescharacteristic
167#448×C67C2211yescharacteristic, complemented
168#447×C67C2211yescharacteristic
169#447×C67C2211yescharacteristic
170#447×C67C2211yescharacteristic
171#447×C67C2211yescharacteristic
172#447×C67C2211yescharacteristic, complemented
173#442×C67C2211yescharacteristic
174#442×C67C2211yescharacteristic
175#442×C67C2211yescharacteristic, complemented
176#441×C67C2211yescharacteristic, complemented
177#440×C67C2211yescharacteristic, complemented
178#440×C67C2211yescharacteristic, complemented
179#440×C67C2211yescharacteristic, complemented
180#440×C67C2211yescharacteristic, complemented
181C4×Q16×C67C2211yescharacteristic, complemented
182C4×SD16×C67C2211yescharacteristic, complemented
183C4×SD16×C67C2211yescharacteristic, complemented
184C4×SD16×C67C2211yescharacteristic, complemented
185C4×SD16×C67C2211yescharacteristic, complemented
186C4×D8×C67C2211yescharacteristic
187C4×D8×C67C2211yescharacteristic
188C4×D8×C67C2211yescharacteristic, complemented
189#433×C67C2211yescharacteristic, complemented
190#433×C67C2211yescharacteristic, complemented
191#433×C67C2211yescharacteristic, complemented
192#433×C67C2211yescharacteristic, complemented
193#432×C67C2211yescharacteristic, complemented
194#432×C67C2211yescharacteristic, complemented
195#431×C67C2211yescharacteristic, complemented
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
207C22×Q8×C67C2311yescharacteristic
208C22×D4×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×C67—21no—
233C4⋊Q8×C67C2311yescharacteristic
234C4⋊Q8×C67C2311yescharacteristic
235C4⋊Q8×C67C2311yescharacteristic
236C4⋊Q8×C67C2311yescharacteristic
237#127×C67—21no—
238#127×C67—21no—
239#127×C67C2311yescharacteristic
240#127×C67C2311yescharacteristic
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#126×C67—21no—
252#126×C67—21no—
253#125×C67—21no—
254#125×C67C2311yescharacteristic
255#125×C67C2311yescharacteristic
256#125×C67C2311yescharacteristic
257#125×C67C2311yescharacteristic
258#124×C67—21no—
259#124×C67—21no—
260#124×C67—21no—
261#124×C67—21no—
262#124×C67—21no—
263#124×C67—21no—
264#124×C67—21no—
265#124×C67—21no—
266#124×C67—21no—
267#124×C67—21no—
268#124×C67—21no—
269#124×C67—21no—
270#124×C67—21no—
271#124×C67C2311yescharacteristic
272#124×C67C2311yescharacteristic
273#124×C67C2311yescharacteristic
274#124×C67C2311yescharacteristic
275#124×C67C2311yescharacteristic
276#124×C67C2311yescharacteristic
277#123×C67—21no—
278#123×C67—21no—
279#123×C67—21no—
280#123×C67—21no—
281#123×C67—21no—
282#123×C67—21no—
283#123×C67—21no—
284#123×C67—21no—
285#123×C67—21no—
286#123×C67—21no—
287#123×C67—21no—
288#123×C67—21no—
289#123×C67—21no—
290#123×C67—21no—
291#123×C67—21no—
292#123×C67—21no—
293#123×C67—21no—
294#123×C67—21no—
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×C67C2311yescharacteristic
307C22⋊Q8×C67C2311yescharacteristic
308C22⋊Q8×C67C2311yescharacteristic
309C22⋊Q8×C67C2311yescharacteristic
310C22⋊Q8×C67C2311yescharacteristic
311C22⋊Q8×C67C2311yescharacteristic
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×C67C2311yescharacteristic
324#121×C67C2311yescharacteristic
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#120×C67—21no—
334#120×C67—21no—
335#120×C67—21no—
336#120×C67—21no—
337#120×C67—21no—
338#120×C67—21no—
339C4×Q8×C67—21no—
340C4×Q8×C67—21no—
341C4×Q8×C67—21no—
342C4×Q8×C67—21no—
343C4×Q8×C67D411yescharacteristic
344C4×Q8×C67D411yescharacteristic
345C4×Q8×C67C2311yescharacteristic
346C4×Q8×C67C2311yescharacteristic
347C4×Q8×C67C2311yescharacteristic
348C4×Q8×C67C2311yescharacteristic
349C4×Q8×C67C2311yescharacteristic
350C4×Q8×C67C2311yescharacteristic
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
394#117×C67C2311yescharacteristic
395#117×C67C2311yescharacteristic
396C2×C4⋊C4×C67C2311yescharacteristic
397C2×C22⋊C4×C67—21no—
398C2×C22⋊C4×C67—21no—
399C2×C22⋊C4×C67—21no—
400C2×C22⋊C4×C67—21no—
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—
479C24×C67—21no—
480#41×C67—41no—
481#41×C67—41no—
482#41×C67—41no—
483#41×C67—41no—
484#41×C67—82no—
485#41×C67—82no—
486C2×Q8×C67—21no—
487C2×Q8×C67—21no—
488C2×Q8×C67—21no—
489C2×Q8×C67—21no—
490C2×Q8×C67—21no—
491C2×Q8×C67—41no—
492C2×Q8×C67—41no—
493C2×Q8×C67C2×D411yescharacteristic
494C2×Q8×C67C2411yescharacteristic
495C2×Q8×C67C2411yescharacteristic
496C2×Q8×C67C2411yescharacteristic
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—41no—
515C2×D4×C67—41no—
516C2×D4×C67—41no—
517C2×D4×C67—41no—
518C2×D4×C67C2×D411yescharacteristic
519C2×D4×C67C2×D411yescharacteristic
520C2×D4×C67C2×D411yescharacteristic
521C2×D4×C67C2411yescharacteristic
522C2×D4×C67C2411yescharacteristic
523C2×D4×C67C2411yescharacteristic
524C2×D4×C67C2411yescharacteristic
525C2×D4×C67C2411yescharacteristic
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—82no—
540C22×C4×C67C2×D411yescharacteristic
541C22×C4×C67C2×D411yescharacteristic
542C22×C4×C67C2×D411yescharacteristic
543C22×C4×C67C2×D411yescharacteristic
544C22×C4×C67C2×D411yescharacteristic
545C22×C4×C67C2×D411yescharacteristic
546C22×C4×C67C2411yescharacteristic
547C22×C4×C67C2411yescharacteristic
548C22×C4×C67C2411yescharacteristic
549Q16×C67—41no—
550Q16×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—
562D8×C67—41no—
563D8×C67—41no—
564D8×C67—41no—
565M16×C67—41no—
566M16×C67—41no—
567C2×C8×C67—41no—
568C2×C8×C67—41no—
569C2×C8×C67C2411yescharacteristic
570C2×C8×C67C2411yescharacteristic
571C2×C8×C67C2411yescharacteristic
572C2×C8×C67C2411yescharacteristic
573C2×C8×C67C2411yescharacteristic
574C2×C8×C67C2411yescharacteristic
575C2×C8×C67C2411yescharacteristic
576C2×C8×C67C2411yescharacteristic
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×C67C2×D411yescharacteristic
603C4⋊C4×C67C2×D411yescharacteristic
604C4⋊C4×C67C2×D411yescharacteristic
605C4⋊C4×C67C2×D411yescharacteristic
606C4⋊C4×C67C2×D411yescharacteristic
607C4⋊C4×C67C2×D411yescharacteristic
608C4⋊C4×C67C2411yescharacteristic
609C4⋊C4×C67C2411yescharacteristic
610C4⋊C4×C67C2411yescharacteristic
611C4⋊C4×C67C2411yescharacteristic
612C4⋊C4×C67C2411yescharacteristic
613C4⋊C4×C67C2411yescharacteristic
614C4⋊C4×C67C2411yescharacteristic
615C4⋊C4×C67C2411yescharacteristic
616C22⋊C4×C67—21no—
617C22⋊C4×C67—21no—
618C22⋊C4×C67—21no—
619C22⋊C4×C67—21no—
620C22⋊C4×C67—21no—
621C22⋊C4×C67—21no—
622C22⋊C4×C67—21no—
623C22⋊C4×C67—21no—
624C22⋊C4×C67—21no—
625C22⋊C4×C67—21no—
626C22⋊C4×C67—21no—
627C22⋊C4×C67—21no—
628C22⋊C4×C67—21no—
629C22⋊C4×C67—21no—
630C22⋊C4×C67—21no—
631C22⋊C4×C67—21no—
632C22⋊C4×C67—21no—
633C22⋊C4×C67—21no—
634C22⋊C4×C67—21no—
635C22⋊C4×C67—21no—
636C22⋊C4×C67—21no—
637C22⋊C4×C67—21no—
638C22⋊C4×C67—21no—
639C22⋊C4×C67—21no—
640C22⋊C4×C67—21no—
641C22⋊C4×C67—21no—
642C22⋊C4×C67—21no—
643C22⋊C4×C67—21no—
644C22⋊C4×C67—21no—
645C22⋊C4×C67—21no—
646C22⋊C4×C67—21no—
647C22⋊C4×C67—21no—
648C22⋊C4×C67—21no—
649C22⋊C4×C67—21no—
650C22⋊C4×C67—21no—
651C22⋊C4×C67—21no—
652C22⋊C4×C67—21no—
653C22⋊C4×C67—21no—
654C22⋊C4×C67—21no—
655C22⋊C4×C67—21no—
656C22⋊C4×C67—21no—
657C22⋊C4×C67C2×D411yescharacteristic
658C22⋊C4×C67C2×D411yescharacteristic
659C22⋊C4×C67C2×D411yescharacteristic
660C22⋊C4×C67C2×D411yescharacteristic
661C22⋊C4×C67C2×D411yescharacteristic
662C22⋊C4×C67C2×D411yescharacteristic
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—21no—
687C23×C67—42no—
688C23×C67—42no—
689C23×C67—81no—
690C23×C67—81no—
691C23×C67—81no—
692C23×C67—81no—
693C23×C67C22×D411yescharacteristic
694C23×C67C22×D411yescharacteristic
695C23×C67C22×D411yescharacteristic
696Q8×C67—21no—
697Q8×C67—21no—
698Q8×C67—21no—
699Q8×C67—21no—
700Q8×C67—21no—
701Q8×C67—21no—
702Q8×C67—41no—
703Q8×C67—42no—
704Q8×C67—81no—
705Q8×C67—81no—
706Q8×C67—81no—
707Q8×C67—81no—
708D4×C67—21no—
709D4×C67—21no—
710D4×C67—21no—
711D4×C67—21no—
712D4×C67—21no—
713D4×C67—21no—
714D4×C67—21no—
715D4×C67—21no—
716D4×C67—21no—
717D4×C67—21no—
718D4×C67—41no—
719D4×C67—41no—
720D4×C67—41no—
721D4×C67—42no—
722D4×C67—42no—
723D4×C67—42no—
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—
735D4×C67—81no—
736D4×C67—81no—
737D4×C67—81no—
738C2×C4×C67—21no—
739C2×C4×C67—21no—
740C2×C4×C67—21no—
741C2×C4×C67—21no—
742C2×C4×C67—21no—
743C2×C4×C67—21no—
744C2×C4×C67—21no—
745C2×C4×C67—21no—
746C2×C4×C67—21no—
747C2×C4×C67—21no—
748C2×C4×C67—21no—
749C2×C4×C67—21no—
750C2×C4×C67—21no—
751C2×C4×C67—21no—
752C2×C4×C67—21no—
753C2×C4×C67—21no—
754C2×C4×C67—21no—
755C2×C4×C67—41no—
756C2×C4×C67—41no—
757C2×C4×C67—41no—
758C2×C4×C67—41no—
759C2×C4×C67—41no—
760C2×C4×C67—41no—
761C2×C4×C67—42no—
762C2×C4×C67—42no—
763C2×C4×C67—42no—
764C2×C4×C67—42no—
765C2×C4×C67—42no—
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×C67—162no—
820C22×C67C23×D411yescharacteristic
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—21no—
832C4×C67—41no—
833C4×C67—41no—
834C4×C67—41no—
835C4×C67—41no—
836C4×C67—41no—
837C4×C67—41no—
838C4×C67—41no—
839C4×C67—41no—
840C4×C67—41no—
841C4×C67—41no—
842C4×C67—41no—
843C4×C67#58511yescharacteristic
844C4×C67#58511yescharacteristic
845#60998C6711yesmaximal, characteristic, direct product factor, Sylow
846C2×C67—41no—
847C2×C67—41no—
848C2×C67—41no—
849C2×C67—81no—
850C2×C67—81no—
851C2×C67—81no—
852C2×C67—81no—
853C2×C67—81no—
854C2×C67#344911yescharacteristic
855C2×C67#358411yescharacteristic
856C2×C67#358511yescharacteristic
857#3510C2×C6711yescharacteristic, complemented
858#3460C2×C6711yescharacteristic, complemented
859#3256C2×C6711yescharacteristic, complemented
860#3251C2×C6711yescharacteristic, complemented
861#3250C2×C6711yescharacteristic, complemented
862#3247C2×C6711yescharacteristic, complemented
863#3244C2×C6711yescharacteristic, complemented
864#3243C2×C6711yescharacteristic, complemented
865#3240C2×C6711yescharacteristic, complemented
866#3228C2×C6711yescharacteristic, complemented
867#3224C2×C6711yescharacteristic, complemented
868#3224C2×C6711yescharacteristic, complemented
869#3213C2×C6711yescharacteristic, complemented
870#3211C2×C6711yescharacteristic, complemented
871#3201C2×C6711yescharacteristic, complemented
872#3200C2×C6711yescharacteristic, complemented
873#3199C2×C6711yescharacteristic, complemented
874#3198C2×C6711yescharacteristic, complemented
875#3179C2×C6711yescharacteristic, complemented
876#3179C2×C6711yescharacteristic, complemented
877#3175C2×C6711yescharacteristic, complemented
878#3173C2×C6711yescharacteristic, complemented
879#3126C2×C6711yescharacteristic, complemented
880#3122C2×C6711yescharacteristic, complemented
881#3121C2×C6711yescharacteristic, complemented
882#3118C2×C6711yescharacteristic, complemented
883#3114C2×C6711yescharacteristic, complemented
884#3111C2×C6711yescharacteristic, complemented
885#3105C2×C6711yescharacteristic, complemented
886#3102C2×C6711yescharacteristic, complemented
887#2925C2×C6711yescharacteristic, complemented
888C67#6099811yescharacteristic, direct product factor, Sylow
889#559—21no—
890#559—21no—
891#556—21no—
892#556—21no—
893#551—21no—
894#551—21no—
895#551—21no—
896#551—21no—
897#544C22×C6711yescharacteristic, complemented
898#542—21no—
899#542C22×C6711yescharacteristic
900#542C22×C6711yescharacteristic
901#542C22×C6711yescharacteristic
902#542C22×C6711yescharacteristic, complemented
903#542C22×C6711yescharacteristic, complemented
904#542C22×C6711yescharacteristic, complemented
905#540—21no—
906#540C22×C6711yescharacteristic
907#540C22×C6711yescharacteristic, complemented
908#538—21no—
909#538—21no—
910#537C22×C6711yescharacteristic
911#536C22×C6711yescharacteristic
912#535C22×C6711yescharacteristic
913#535C22×C6711yescharacteristic
914#535C22×C6711yescharacteristic, complemented
915#533C22×C6711yescharacteristic, complemented
916#532—21no—
917#532C22×C6711yescharacteristic
918#532C22×C6711yescharacteristic, complemented
919#529—21no—
920#529C22×C6711yescharacteristic
921#529C22×C6711yescharacteristic
922#529C22×C6711yescharacteristic
923#529C22×C6711yescharacteristic, complemented
924#529C22×C6711yescharacteristic, complemented
925#529C22×C6711yescharacteristic, complemented
926C2×#124C22×C6711yescharacteristic, complemented
927#525—21no—
928#525—21no—
929#519C22×C6711yescharacteristic, complemented
930#518C22×C6711yescharacteristic, complemented
931C4×#41C22×C6711yescharacteristic
932C4×#41C22×C6711yescharacteristic, complemented
933C2×C4×D4C22×C6711yescharacteristic, complemented
934#501C22×C6711yescharacteristic, complemented
935#501C22×C6711yescharacteristic, complemented
936#500C22×C6711yescharacteristic, complemented
937#498C22×C6711yescharacteristic, complemented
938#496C22×C6711yescharacteristic
939#496C22×C6711yescharacteristic
940#495C22×C6711yescharacteristic
941#495C22×C6711yescharacteristic
942#489C22×C6711yescharacteristic, complemented
943#489C22×C6711yescharacteristic, complemented
944#489C22×C6711yescharacteristic, complemented
945#489C22×C6711yescharacteristic, complemented
946#488C22×C6711yescharacteristic, complemented
947#488C22×C6711yescharacteristic, complemented
948#486C22×C6711yescharacteristic, complemented
949#486C22×C6711yescharacteristic, complemented
950#485C22×C6711yescharacteristic, complemented
951#485C22×C6711yescharacteristic, complemented
952#485C22×C6711yescharacteristic, complemented
953#485C22×C6711yescharacteristic, complemented
954#484C22×C6711yescharacteristic, complemented
955#483C22×C6711yescharacteristic, complemented
956#482C22×C6711yescharacteristic
957#482C22×C6711yescharacteristic
958#482C22×C6711yescharacteristic
959#482C22×C6711yescharacteristic
960#482C22×C6711yescharacteristic
961#482C22×C6711yescharacteristic
962#482C22×C6711yescharacteristic, complemented
963#482C22×C6711yescharacteristic, complemented
964#481C22×C6711yescharacteristic
965#480C22×C6711yescharacteristic
966#479C22×C6711yescharacteristic, complemented
967#479C22×C6711yescharacteristic, complemented
968#479C22×C6711yescharacteristic, complemented
969#479C22×C6711yescharacteristic, complemented
970#478C22×C6711yescharacteristic, complemented
971#478C22×C6711yescharacteristic, complemented
972#478C22×C6711yescharacteristic, complemented
973#478C22×C6711yescharacteristic, complemented
974#478C22×C6711yescharacteristic, complemented
975#478C22×C6711yescharacteristic, complemented
976#478C22×C6711yescharacteristic, complemented
977#478C22×C6711yescharacteristic, complemented
978#477C22×C6711yescharacteristic, complemented
979#476C22×C6711yescharacteristic, complemented
980#475C22×C6711yescharacteristic, complemented
981#474C22×C6711yescharacteristic, complemented
982#470C22×C6711yescharacteristic, complemented
983#469C22×C6711yescharacteristic
984#469C22×C6711yescharacteristic
985#469C22×C6711yescharacteristic, complemented
986#468C22×C6711yescharacteristic, complemented
987#468C22×C6711yescharacteristic, complemented
988#468C22×C6711yescharacteristic, complemented
989#468C22×C6711yescharacteristic, complemented
990#467C22×C6711yescharacteristic, complemented
991#466C22×C6711yescharacteristic
992#466C22×C6711yescharacteristic
993#466C22×C6711yescharacteristic, complemented
994#465C22×C6711yescharacteristic, complemented
995#465C22×C6711yescharacteristic, complemented
996#465C22×C6711yescharacteristic, complemented
997#465C22×C6711yescharacteristic, complemented
998#464C22×C6711yescharacteristic, complemented
999#464C22×C6711yescharacteristic, complemented
1000#464C22×C6711yescharacteristic, complemented
1001#464C22×C6711yescharacteristic, complemented
1002#463C22×C6711yescharacteristic
1003#463C22×C6711yescharacteristic
1004#463C22×C6711yescharacteristic
1005#463C22×C6711yescharacteristic
1006#463C22×C6711yescharacteristic
1007#463C22×C6711yescharacteristic
1008#463C22×C6711yescharacteristic, complemented
1009#463C22×C6711yescharacteristic, complemented
1010#460C22×C6711yescharacteristic, complemented
1011#460C22×C6711yescharacteristic, complemented
1012#459C22×C6711yescharacteristic
1013#459C22×C6711yescharacteristic
1014#452C22×C6711yescharacteristic, complemented
1015#452C22×C6711yescharacteristic, complemented
1016#451C22×C6711yescharacteristic, complemented
1017#450C22×C6711yescharacteristic, complemented
1018#450C22×C6711yescharacteristic, complemented
1019#450C22×C6711yescharacteristic, complemented
1020#449C22×C6711yescharacteristic
1021#449C22×C6711yescharacteristic
1022#448C22×C6711yescharacteristic
1023#448C22×C6711yescharacteristic
1024#448C22×C6711yescharacteristic, complemented
1025#447C22×C6711yescharacteristic
1026#447C22×C6711yescharacteristic
1027#447C22×C6711yescharacteristic
1028#447C22×C6711yescharacteristic
1029#447C22×C6711yescharacteristic, complemented
1030#442C22×C6711yescharacteristic
1031#442C22×C6711yescharacteristic
1032#442C22×C6711yescharacteristic, complemented
1033#441C22×C6711yescharacteristic, complemented
1034#440C22×C6711yescharacteristic, complemented
1035#440C22×C6711yescharacteristic, complemented
1036#440C22×C6711yescharacteristic, complemented
1037#440C22×C6711yescharacteristic, complemented
1038C4×Q16C22×C6711yescharacteristic, complemented
1039C4×SD16C22×C6711yescharacteristic, complemented
1040C4×SD16C22×C6711yescharacteristic, complemented
1041C4×SD16C22×C6711yescharacteristic, complemented
1042C4×SD16C22×C6711yescharacteristic, complemented
1043C4×D8C22×C6711yescharacteristic
1044C4×D8C22×C6711yescharacteristic
1045C4×D8C22×C6711yescharacteristic, complemented
1046#433C22×C6711yescharacteristic, complemented
1047#433C22×C6711yescharacteristic, complemented
1048#433C22×C6711yescharacteristic, complemented
1049#433C22×C6711yescharacteristic, complemented
1050#432C22×C6711yescharacteristic, complemented
1051#432C22×C6711yescharacteristic, complemented
1052#431C22×C6711yescharacteristic, complemented
1053#431C22×C6711yescharacteristic, complemented
1054#423C22×C6711yescharacteristic, complemented
1055C2×C4⋊C8C22×C6711yescharacteristic, complemented
1056#408C22×C6711yescharacteristic
1057#408C22×C6711yescharacteristic
1058#405C22×C6711yescharacteristic, complemented
1059#405C22×C6711yescharacteristic, complemented
1060C2×#41—21no—
1061C2×#41—21no—
1062C2×#41C23×C6711yescharacteristic
1063C2×#41C23×C6711yescharacteristic
1064C22×Q8C23×C6711yescharacteristic
1065C22×D4C23×C6711yescharacteristic
1066C22×D4C23×C6711yescharacteristic
1067C23×C4—21no—
1068C2×Q16C23×C6711yescharacteristic
1069C2×Q16C23×C6711yescharacteristic
1070C2×SD16C23×C6711yescharacteristic
1071C2×SD16C23×C6711yescharacteristic
1072C2×SD16C23×C6711yescharacteristic
1073C2×SD16C23×C6711yescharacteristic
1074C2×SD16C23×C6711yescharacteristic
1075C2×SD16C23×C6711yescharacteristic
1076C2×SD16C23×C6711yescharacteristic
1077C2×SD16C23×C6711yescharacteristic
1078C2×D8C23×C6711yescharacteristic
1079C2×D8C23×C6711yescharacteristic
1080C2×D8C23×C6711yescharacteristic
1081C2×D8C23×C6711yescharacteristic
1082C2×D8C23×C6711yescharacteristic
1083C2×D8C23×C6711yescharacteristic
1084C2×M16C23×C6711yescharacteristic
1085C2×M16C23×C6711yescharacteristic
1086C22×C8C23×C6711yescharacteristic
1087C22×C8C23×C6711yescharacteristic
1088C4⋊Q8—21no—
1089C4⋊Q8—21no—
1090C4⋊Q8C23×C6711yescharacteristic
1091C4⋊Q8C23×C6711yescharacteristic
1092C4⋊Q8C23×C6711yescharacteristic
1093C4⋊Q8C23×C6711yescharacteristic
1094#127—21no—
1095#127—21no—
1096#127C23×C6711yescharacteristic
1097#127C23×C6711yescharacteristic
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#126—21no—
1108#126—21no—
1109#126—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#124—21no—
1124#124—21no—
1125#124—21no—
1126#124—21no—
1127#124—21no—
1128#124C23×C6711yescharacteristic
1129#124C23×C6711yescharacteristic
1130#124C23×C6711yescharacteristic
1131#124C23×C6711yescharacteristic
1132#124C23×C6711yescharacteristic
1133#124C23×C6711yescharacteristic
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—21no—
1151#123—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8C23×C6711yescharacteristic
1164C22⋊Q8C23×C6711yescharacteristic
1165C22⋊Q8C23×C6711yescharacteristic
1166C22⋊Q8C23×C6711yescharacteristic
1167C22⋊Q8C23×C6711yescharacteristic
1168C22⋊Q8C23×C6711yescharacteristic
1169#121—21no—
1170#121—21no—
1171#121—21no—
1172#121—21no—
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121C23×C6711yescharacteristic
1181#121C23×C6711yescharacteristic
1182#121C23×C6711yescharacteristic
1183#121C23×C6711yescharacteristic
1184#121C23×C6711yescharacteristic
1185#121C23×C6711yescharacteristic
1186#121C23×C6711yescharacteristic
1187#121C23×C6711yescharacteristic
1188#121C23×C6711yescharacteristic
1189#121C23×C6711yescharacteristic
1190#120—21no—
1191#120—21no—
1192#120—21no—
1193#120—21no—
1194#120—21no—
1195#120—21no—
1196C4×Q8—21no—
1197C4×Q8—21no—
1198C4×Q8—21no—
1199C4×Q8—21no—
1200C4×Q8D4×C6711yescharacteristic
1201C4×Q8D4×C6711yescharacteristic
1202C4×Q8C23×C6711yescharacteristic
1203C4×Q8C23×C6711yescharacteristic
1204C4×Q8C23×C6711yescharacteristic
1205C4×Q8C23×C6711yescharacteristic
1206C4×Q8C23×C6711yescharacteristic
1207C4×Q8C23×C6711yescharacteristic
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4—21no—
1221C4×D4—21no—
1222C4×D4D4×C6711yescharacteristic
1223C4×D4D4×C6711yescharacteristic
1224C4×D4D4×C6711yescharacteristic
1225C4×D4D4×C6711yescharacteristic
1226C4×D4D4×C6711yescharacteristic
1227C4×D4D4×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
1237C4×D4C23×C6711yescharacteristic
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#117—21no—
1247#117C23×C6711yescharacteristic
1248#117C23×C6711yescharacteristic
1249#117C23×C6711yescharacteristic
1250#117C23×C6711yescharacteristic
1251#117C23×C6711yescharacteristic
1252#117C23×C6711yescharacteristic
1253C2×C4⋊C4C23×C6711yescharacteristic
1254C2×C22⋊C4—21no—
1255C2×C22⋊C4—21no—
1256C2×C22⋊C4—21no—
1257C2×C22⋊C4—21no—
1258C2×C22⋊C4—21no—
1259C2×C42—21no—
1260C2×C42C23×C6711yescharacteristic
1261C2×C42C23×C6711yescharacteristic
1262C2×C42C23×C6711yescharacteristic
1263#107C23×C6711yescharacteristic
1264#107C23×C6711yescharacteristic
1265#107C23×C6711yescharacteristic
1266#107C23×C6711yescharacteristic
1267#107C23×C6711yescharacteristic
1268#107C23×C6711yescharacteristic
1269#107C23×C6711yescharacteristic
1270#107C23×C6711yescharacteristic
1271#106C23×C6711yescharacteristic
1272#106C23×C6711yescharacteristic
1273#106C23×C6711yescharacteristic
1274#106C23×C6711yescharacteristic
1275#106C23×C6711yescharacteristic
1276#106C23×C6711yescharacteristic
1277#106C23×C6711yescharacteristic
1278#106C23×C6711yescharacteristic
1279C4⋊C8C23×C6711yescharacteristic
1280C4⋊C8C23×C6711yescharacteristic
1281C4⋊C8C23×C6711yescharacteristic
1282C4⋊C8C23×C6711yescharacteristic
1283C4⋊C8C23×C6711yescharacteristic
1284C4⋊C8C23×C6711yescharacteristic
1285C4⋊C8C23×C6711yescharacteristic
1286C4⋊C8C23×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#103C23×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
1318#102C23×C6711yescharacteristic
1319C22⋊C8C23×C6711yescharacteristic
1320C22⋊C8C23×C6711yescharacteristic
1321C22⋊C8C23×C6711yescharacteristic
1322C22⋊C8C23×C6711yescharacteristic
1323C22⋊C8C23×C6711yescharacteristic
1324C22⋊C8C23×C6711yescharacteristic
1325C22⋊C8C23×C6711yescharacteristic
1326C22⋊C8C23×C6711yescharacteristic
1327#97C23×C6711yescharacteristic
1328#97C23×C6711yescharacteristic
1329#97C23×C6711yescharacteristic
1330#97C23×C6711yescharacteristic
1331C4×C8C23×C6711yescharacteristic
1332C4×C8C23×C6711yescharacteristic
1333C4×C8C23×C6711yescharacteristic
1334C4×C8C23×C6711yescharacteristic
1335C24—21no—
1336C24—21no—
1337#41—41no—
1338#41—41no—
1339#41—41no—
1340#41—41no—
1341#41—82no—
1342#41—82no—
1343C2×Q8—21no—
1344C2×Q8—21no—
1345C2×Q8—21no—
1346C2×Q8—21no—
1347C2×Q8—21no—
1348C2×Q8—41no—
1349C2×Q8—41no—
1350C2×Q8C2×D4×C6711yescharacteristic
1351C2×Q8C24×C6711yescharacteristic
1352C2×Q8C24×C6711yescharacteristic
1353C2×Q8C24×C6711yescharacteristic
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×D4—41no—
1374C2×D4—41no—
1375C2×D4C2×D4×C6711yescharacteristic
1376C2×D4C2×D4×C6711yescharacteristic
1377C2×D4C2×D4×C6711yescharacteristic
1378C2×D4C24×C6711yescharacteristic
1379C2×D4C24×C6711yescharacteristic
1380C2×D4C24×C6711yescharacteristic
1381C2×D4C24×C6711yescharacteristic
1382C2×D4C24×C6711yescharacteristic
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—82no—
1397C22×C4C2×D4×C6711yescharacteristic
1398C22×C4C2×D4×C6711yescharacteristic
1399C22×C4C2×D4×C6711yescharacteristic
1400C22×C4C2×D4×C6711yescharacteristic
1401C22×C4C2×D4×C6711yescharacteristic
1402C22×C4C2×D4×C6711yescharacteristic
1403C22×C4C24×C6711yescharacteristic
1404C22×C4C24×C6711yescharacteristic
1405C22×C4C24×C6711yescharacteristic
1406Q16—41no—
1407Q16—41no—
1408SD16—41no—
1409SD16—41no—
1410SD16—41no—
1411SD16—41no—
1412SD16—41no—
1413SD16—41no—
1414SD16—41no—
1415SD16—41no—
1416D8—41no—
1417D8—41no—
1418D8—41no—
1419D8—41no—
1420D8—41no—
1421D8—41no—
1422M16—41no—
1423M16—41no—
1424C2×C8—41no—
1425C2×C8—41no—
1426C2×C8C24×C6711yescharacteristic
1427C2×C8C24×C6711yescharacteristic
1428C2×C8C24×C6711yescharacteristic
1429C2×C8C24×C6711yescharacteristic
1430C2×C8C24×C6711yescharacteristic
1431C2×C8C24×C6711yescharacteristic
1432C2×C8C24×C6711yescharacteristic
1433C2×C8C24×C6711yescharacteristic
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⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4C2×D4×C6711yescharacteristic
1460C4⋊C4C2×D4×C6711yescharacteristic
1461C4⋊C4C2×D4×C6711yescharacteristic
1462C4⋊C4C2×D4×C6711yescharacteristic
1463C4⋊C4C2×D4×C6711yescharacteristic
1464C4⋊C4C2×D4×C6711yescharacteristic
1465C4⋊C4C24×C6711yescharacteristic
1466C4⋊C4C24×C6711yescharacteristic
1467C4⋊C4C24×C6711yescharacteristic
1468C4⋊C4C24×C6711yescharacteristic
1469C4⋊C4C24×C6711yescharacteristic
1470C4⋊C4C24×C6711yescharacteristic
1471C4⋊C4C24×C6711yescharacteristic
1472C4⋊C4C24×C6711yescharacteristic
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⋊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⋊C4C2×D4×C6711yescharacteristic
1515C22⋊C4C2×D4×C6711yescharacteristic
1516C22⋊C4C2×D4×C6711yescharacteristic
1517C22⋊C4C2×D4×C6711yescharacteristic
1518C22⋊C4C2×D4×C6711yescharacteristic
1519C22⋊C4C2×D4×C6711yescharacteristic
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42C2×D4×C6711yescharacteristic
1530C42C2×D4×C6711yescharacteristic
1531C42C2×D4×C6711yescharacteristic
1532C42C2×D4×C6711yescharacteristic
1533C42C2×D4×C6711yescharacteristic
1534C42C2×D4×C6711yescharacteristic
1535C42C24×C6711yescharacteristic
1536C42C24×C6711yescharacteristic
1537C42C24×C6711yescharacteristic
1538C42C24×C6711yescharacteristic
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—42no—
1545C23—42no—
1546C23—81no—
1547C23—81no—
1548C23—81no—
1549C23—81no—
1550C23C22×D4×C6711yescharacteristic
1551C23C22×D4×C6711yescharacteristic
1552C23C22×D4×C6711yescharacteristic
1553Q8—21no—
1554Q8—21no—
1555Q8—21no—
1556Q8—21no—
1557Q8—21no—
1558Q8—21no—
1559Q8—41no—
1560Q8—42no—
1561Q8—81no—
1562Q8—81no—
1563Q8—81no—
1564Q8—81no—
1565D4—21no—
1566D4—21no—
1567D4—21no—
1568D4—21no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—41no—
1576D4—41no—
1577D4—41no—
1578D4—42no—
1579D4—42no—
1580D4—42no—
1581D4—81no—
1582D4—81no—
1583D4—81no—
1584D4—81no—
1585D4—81no—
1586D4—81no—
1587D4—81no—
1588D4—81no—
1589D4—81no—
1590D4—81no—
1591D4—81no—
1592D4—81no—
1593D4—81no—
1594D4—81no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—42no—
1619C2×C4—42no—
1620C2×C4—42no—
1621C2×C4—42no—
1622C2×C4—42no—
1623C2×C4—81no—
1624C2×C4—81no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×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×C4C22×D4×C6711yescharacteristic
1642C2×C4C25×C6711yescharacteristic
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—21no—
1649C8—21no—
1650C8—21no—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
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—41no—
1675C22—84no—
1676C22—162no—
1677C22C23×D4×C6711yescharacteristic
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—21no—
1688C4—21no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4#585×C6711yescharacteristic
1701C4#585×C6711yescharacteristic
1702C2—41no—
1703C2—41no—
1704C2—41no—
1705C2—81no—
1706C2—81no—
1707C2—81no—
1708C2—81no—
1709C2—81no—
1710C2C67×#344911yescharacteristic
1711C2C67×#358411yescharacteristic
1712C2C67×#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×#3510C2semidirect
2. C67×#3460C2semidirect
3. C67×#3256C2semidirect
4. C67×#3251C2semidirect
5. C67×#3250C2semidirect
6. C67×#3247C2semidirect
7. C67×#3244C2semidirect
8. C67×#3243C2semidirect
9. C67×#3240C2semidirect
10. C67×#3228C2semidirect
11. C67×#3224C2semidirect
12. C67×#3224C2semidirect
13. C67×#3213C2semidirect
14. C67×#3211C2semidirect
15. C67×#3201C2semidirect
16. C67×#3200C2semidirect
17. C67×#3199C2semidirect
18. C67×#3198C2semidirect
19. C67×#3179C2semidirect
20. C67×#3179C2semidirect
21. C67×#3175C2semidirect
22. C67×#3173C2semidirect
23. C67×#3126C2semidirect
24. C67×#3122C2semidirect
25. C67×#3121C2semidirect
26. C67×#3118C2semidirect
27. C67×#3114C2semidirect
28. C67×#3111C2semidirect
29. C67×#3105C2semidirect
30. C67×#3102C2semidirect
31. C67×#2925C2semidirect
40. #544×C67C22semidirect
45. #542×C67C22semidirect
46. #542×C67C22semidirect
47. #542×C67C22semidirect
50. #540×C67C22semidirect
57. #535×C67C22semidirect
58. #533×C67C22semidirect
61. #532×C67C22semidirect
66. #529×C67C22semidirect
67. #529×C67C22semidirect
68. #529×C67C22semidirect
69. C2×#124×C67C22semidirect
72. #519×C67C22semidirect
73. #518×C67C22semidirect
75. C4×#41×C67C22semidirect
76. C2×C4×D4×C67C22semidirect
77. #501×C67C22semidirect
78. #501×C67C22semidirect
79. #500×C67C22semidirect
80. #498×C67C22semidirect
85. #489×C67C22semidirect
86. #489×C67C22semidirect
87. #489×C67C22semidirect
88. #489×C67C22semidirect
89. #488×C67C22semidirect
90. #488×C67C22semidirect
91. #486×C67C22semidirect
92. #486×C67C22semidirect
93. #485×C67C22semidirect
94. #485×C67C22semidirect
95. #485×C67C22semidirect
96. #485×C67C22semidirect
97. #484×C67C22semidirect
98. #483×C67C22semidirect
105. #482×C67C22semidirect
106. #482×C67C22semidirect
109. #479×C67C22semidirect
110. #479×C67C22semidirect
111. #479×C67C22semidirect
112. #479×C67C22semidirect
113. #478×C67C22semidirect
114. #478×C67C22semidirect
115. #478×C67C22semidirect
116. #478×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
129. #468×C67C22semidirect
130. #468×C67C22semidirect
131. #468×C67C22semidirect
132. #468×C67C22semidirect
133. #467×C67C22semidirect
136. #466×C67C22semidirect
137. #465×C67C22semidirect
138. #465×C67C22semidirect
139. #465×C67C22semidirect
140. #465×C67C22semidirect
141. #464×C67C22semidirect
142. #464×C67C22semidirect
143. #464×C67C22semidirect
144. #464×C67C22semidirect
151. #463×C67C22semidirect
152. #463×C67C22semidirect
153. #460×C67C22semidirect
154. #460×C67C22semidirect
157. #452×C67C22semidirect
158. #452×C67C22semidirect
159. #451×C67C22semidirect
160. #450×C67C22semidirect
161. #450×C67C22semidirect
162. #450×C67C22semidirect
167. #448×C67C22semidirect
172. #447×C67C22semidirect
175. #442×C67C22semidirect
176. #441×C67C22semidirect
177. #440×C67C22semidirect
178. #440×C67C22semidirect
179. #440×C67C22semidirect
180. #440×C67C22semidirect
181. C4×Q16×C67C22semidirect
182. C4×SD16×C67C22semidirect
183. C4×SD16×C67C22semidirect
184. C4×SD16×C67C22semidirect
185. C4×SD16×C67C22semidirect
188. C4×D8×C67C22semidirect
189. #433×C67C22semidirect
190. #433×C67C22semidirect
191. #433×C67C22semidirect
192. #433×C67C22semidirect
193. #432×C67C22semidirect
194. #432×C67C22semidirect
195. #431×C67C22semidirect
196. #431×C67C22semidirect
197. #423×C67C22semidirect
198. C2×C4⋊C8×C67C22semidirect
201. #405×C67C22semidirect
202. #405×C67C22semidirect
845. #60998C67direct (N × H)
857. #3510C2×C67semidirect
858. #3460C2×C67semidirect
859. #3256C2×C67semidirect
860. #3251C2×C67semidirect
861. #3250C2×C67semidirect
862. #3247C2×C67semidirect
863. #3244C2×C67semidirect
864. #3243C2×C67semidirect
865. #3240C2×C67semidirect
866. #3228C2×C67semidirect
867. #3224C2×C67semidirect
868. #3224C2×C67semidirect
869. #3213C2×C67semidirect
870. #3211C2×C67semidirect
871. #3201C2×C67semidirect
872. #3200C2×C67semidirect
873. #3199C2×C67semidirect
874. #3198C2×C67semidirect
875. #3179C2×C67semidirect
876. #3179C2×C67semidirect
877. #3175C2×C67semidirect
878. #3173C2×C67semidirect
879. #3126C2×C67semidirect
880. #3122C2×C67semidirect
881. #3121C2×C67semidirect
882. #3118C2×C67semidirect
883. #3114C2×C67semidirect
884. #3111C2×C67semidirect
885. #3105C2×C67semidirect
886. #3102C2×C67semidirect
887. #2925C2×C67semidirect
888. C67#60998direct (N × H)
897. #544C22×C67semidirect
902. #542C22×C67semidirect
903. #542C22×C67semidirect
904. #542C22×C67semidirect
907. #540C22×C67semidirect
914. #535C22×C67semidirect
915. #533C22×C67semidirect
918. #532C22×C67semidirect
923. #529C22×C67semidirect
924. #529C22×C67semidirect
925. #529C22×C67semidirect
926. C2×#124C22×C67semidirect
929. #519C22×C67semidirect
930. #518C22×C67semidirect
932. C4×#41C22×C67semidirect
933. C2×C4×D4C22×C67semidirect
934. #501C22×C67semidirect
935. #501C22×C67semidirect
936. #500C22×C67semidirect
937. #498C22×C67semidirect
942. #489C22×C67semidirect
943. #489C22×C67semidirect
944. #489C22×C67semidirect
945. #489C22×C67semidirect
946. #488C22×C67semidirect
947. #488C22×C67semidirect
948. #486C22×C67semidirect
949. #486C22×C67semidirect
950. #485C22×C67semidirect
951. #485C22×C67semidirect
952. #485C22×C67semidirect
953. #485C22×C67semidirect
954. #484C22×C67semidirect
955. #483C22×C67semidirect
962. #482C22×C67semidirect
963. #482C22×C67semidirect
966. #479C22×C67semidirect
967. #479C22×C67semidirect
968. #479C22×C67semidirect
969. #479C22×C67semidirect
970. #478C22×C67semidirect
971. #478C22×C67semidirect
972. #478C22×C67semidirect
973. #478C22×C67semidirect
974. #478C22×C67semidirect
975. #478C22×C67semidirect
976. #478C22×C67semidirect
977. #478C22×C67semidirect
978. #477C22×C67semidirect
979. #476C22×C67semidirect
980. #475C22×C67semidirect
981. #474C22×C67semidirect
982. #470C22×C67semidirect
985. #469C22×C67semidirect
986. #468C22×C67semidirect
987. #468C22×C67semidirect
988. #468C22×C67semidirect
989. #468C22×C67semidirect
990. #467C22×C67semidirect
993. #466C22×C67semidirect
994. #465C22×C67semidirect
995. #465C22×C67semidirect
996. #465C22×C67semidirect
997. #465C22×C67semidirect
998. #464C22×C67semidirect
999. #464C22×C67semidirect
1000. #464C22×C67semidirect
1001. #464C22×C67semidirect
1008. #463C22×C67semidirect
1009. #463C22×C67semidirect
1010. #460C22×C67semidirect
1011. #460C22×C67semidirect
1014. #452C22×C67semidirect
1015. #452C22×C67semidirect
1016. #451C22×C67semidirect
1017. #450C22×C67semidirect
1018. #450C22×C67semidirect
1019. #450C22×C67semidirect
1024. #448C22×C67semidirect
1029. #447C22×C67semidirect
1032. #442C22×C67semidirect
1033. #441C22×C67semidirect
1034. #440C22×C67semidirect
1035. #440C22×C67semidirect
1036. #440C22×C67semidirect
1037. #440C22×C67semidirect
1038. C4×Q16C22×C67semidirect
1039. C4×SD16C22×C67semidirect
1040. C4×SD16C22×C67semidirect
1041. C4×SD16C22×C67semidirect
1042. C4×SD16C22×C67semidirect
1045. C4×D8C22×C67semidirect
1046. #433C22×C67semidirect
1047. #433C22×C67semidirect
1048. #433C22×C67semidirect
1049. #433C22×C67semidirect
1050. #432C22×C67semidirect
1051. #432C22×C67semidirect
1052. #431C22×C67semidirect
1053. #431C22×C67semidirect
1054. #423C22×C67semidirect
1055. C2×C4⋊C8C22×C67semidirect
1058. #405C22×C67semidirect
1059. #405C22×C67semidirect

Maximal subgroups

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

subgroupindex
C67×#35102
C67×#34602
C67×#32562
C67×#32512
C67×#32502
C67×#32472
C67×#32442
C67×#32432
C67×#32402
C67×#32282
C67×#32242
C67×#32132
C67×#32112
C67×#32012
C67×#32002
C67×#31992
C67×#31982
C67×#31792
C67×#31752
C67×#31732
C67×#31262
C67×#31222
C67×#31212
C67×#31182
C67×#31142
C67×#31112
C67×#31052
C67×#31022
C67×#29252
#6099867