Finite Group Databasebeta

← C67×#60996 #30740247

Subgroups — C67×#60996 #30740247

Order 17152.

1686 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3510C211yesmaximal, characteristic, complemented
2C67×#3461C211yesmaximal, characteristic, complemented
3C67×#3256C211yesmaximal, characteristic, complemented
4C67×#3252C211yesmaximal, characteristic, complemented
5C67×#3250C211yesmaximal, characteristic, complemented
6C67×#3248C211yesmaximal, characteristic, complemented
7C67×#3244C211yesmaximal, characteristic, complemented
8C67×#3243C211yesmaximal, characteristic, complemented
9C67×#3240C211yesmaximal, characteristic, complemented
10C67×#3231C211yesmaximal, characteristic, complemented
11C67×#3225C211yesmaximal, characteristic, complemented
12C67×#3225C211yesmaximal, characteristic, complemented
13C67×#3215C211yesmaximal, characteristic, complemented
14C67×#3211C211yesmaximal, characteristic, complemented
15C67×#3202C211yesmaximal, characteristic, complemented
16C67×#3201C211yesmaximal, characteristic, complemented
17C67×#3200C211yesmaximal, characteristic, complemented
18C67×#3198C211yesmaximal, characteristic
19C67×#3178C211yesmaximal, characteristic, complemented
20C67×#3178C211yesmaximal, characteristic, complemented
21C67×#3175C211yesmaximal, characteristic, complemented
22C67×#3173C211yesmaximal, characteristic, complemented
23C67×#3127C211yesmaximal, characteristic, complemented
24C67×#3123C211yesmaximal, characteristic, complemented
25C67×#3121C211yesmaximal, characteristic, complemented
26C67×#3118C211yesmaximal, characteristic, complemented
27C67×#3117C211yesmaximal, characteristic, complemented
28C67×#3111C211yesmaximal, characteristic, complemented
29C67×#3108C211yesmaximal, 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
46#542×C67C2211yescharacteristic
47#542×C67C2211yescharacteristic, complemented
48#541×C67—21no—
49#541×C67C2211yescharacteristic
50#541×C67C2211yescharacteristic, complemented
51#539×C67—21no—
52#539×C67—21no—
53#537×C67C2211yescharacteristic
54#536×C67C2211yescharacteristic
55#536×C67C2211yescharacteristic
56#536×C67C2211yescharacteristic, complemented
57#535×C67C2211yescharacteristic
58#533×C67—21no—
59#533×C67C2211yescharacteristic
60#533×C67C2211yescharacteristic
61#533×C67C2211yescharacteristic, complemented
62#529×C67—21no—
63#529×C67—21no—
64#529×C67—21no—
65#529×C67C2211yescharacteristic
66#529×C67C2211yescharacteristic
67#529×C67C2211yescharacteristic
68#529×C67C2211yescharacteristic
69#529×C67C2211yescharacteristic
70#529×C67C2211yescharacteristic, complemented
71C2×#124×C67C2211yescharacteristic
72#519×C67C2211yescharacteristic
73#518×C67C2211yescharacteristic
74C4×#41×C67C2211yescharacteristic
75C4×#41×C67C2211yescharacteristic, complemented
76C2×C4×Q8×C67C2211yescharacteristic, complemented
77#501×C67C2211yescharacteristic, complemented
78#501×C67C2211yescharacteristic, complemented
79#500×C67C2211yescharacteristic, complemented
80#498×C67C2211yescharacteristic, complemented
81#497×C67C2211yescharacteristic
82#497×C67C2211yescharacteristic
83#495×C67C2211yescharacteristic
84#495×C67C2211yescharacteristic
85#489×C67C2211yescharacteristic
86#489×C67C2211yescharacteristic
87#489×C67C2211yescharacteristic, complemented
88#489×C67C2211yescharacteristic, complemented
89#488×C67C2211yescharacteristic
90#488×C67C2211yescharacteristic
91#487×C67C2211yescharacteristic, complemented
92#487×C67C2211yescharacteristic, complemented
93#485×C67C2211yescharacteristic
94#485×C67C2211yescharacteristic
95#485×C67C2211yescharacteristic
96#485×C67C2211yescharacteristic
97#485×C67C2211yescharacteristic
98#485×C67C2211yescharacteristic
99#485×C67C2211yescharacteristic, complemented
100#485×C67C2211yescharacteristic, complemented
101#484×C67C2211yescharacteristic, complemented
102#483×C67C2211yescharacteristic, complemented
103#482×C67C2211yescharacteristic
104#482×C67C2211yescharacteristic
105#482×C67C2211yescharacteristic
106#482×C67C2211yescharacteristic
107#481×C67C2211yescharacteristic
108#480×C67C2211yescharacteristic
109#479×C67C2211yescharacteristic, complemented
110#479×C67C2211yescharacteristic, complemented
111#479×C67C2211yescharacteristic, complemented
112#479×C67C2211yescharacteristic, complemented
113#479×C67C2211yescharacteristic, complemented
114#479×C67C2211yescharacteristic, complemented
115#479×C67C2211yescharacteristic, complemented
116#479×C67C2211yescharacteristic, complemented
117#478×C67C2211yescharacteristic
118#478×C67C2211yescharacteristic
119#478×C67C2211yescharacteristic, complemented
120#478×C67C2211yescharacteristic, complemented
121#477×C67C2211yescharacteristic, complemented
122#476×C67C2211yescharacteristic
123#475×C67C2211yescharacteristic, complemented
124#474×C67C2211yescharacteristic
125#470×C67C2211yescharacteristic, complemented
126#470×C67C2211yescharacteristic, complemented
127#470×C67C2211yescharacteristic, complemented
128#469×C67C2211yescharacteristic
129#468×C67C2211yescharacteristic
130#468×C67C2211yescharacteristic
131#468×C67C2211yescharacteristic
132#468×C67C2211yescharacteristic, complemented
133#467×C67C2211yescharacteristic, complemented
134#467×C67C2211yescharacteristic, complemented
135#467×C67C2211yescharacteristic, complemented
136#466×C67C2211yescharacteristic
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
145#464×C67C2211yescharacteristic
146#464×C67C2211yescharacteristic
147#464×C67C2211yescharacteristic, complemented
148#464×C67C2211yescharacteristic, complemented
149#463×C67C2211yescharacteristic
150#463×C67C2211yescharacteristic
151#463×C67C2211yescharacteristic
152#463×C67C2211yescharacteristic
153#462×C67C2211yescharacteristic, complemented
154#462×C67C2211yescharacteristic, complemented
155#461×C67C2211yescharacteristic
156#461×C67C2211yescharacteristic
157#452×C67C2211yescharacteristic, complemented
158#452×C67C2211yescharacteristic, complemented
159#451×C67C2211yescharacteristic
160#451×C67C2211yescharacteristic
161#451×C67C2211yescharacteristic
162#451×C67C2211yescharacteristic, complemented
163#451×C67C2211yescharacteristic, complemented
164#450×C67C2211yescharacteristic
165#450×C67C2211yescharacteristic
166#450×C67C2211yescharacteristic
167#449×C67C2211yescharacteristic
168#449×C67C2211yescharacteristic
169#448×C67C2211yescharacteristic
170#448×C67C2211yescharacteristic
171#448×C67C2211yescharacteristic
172#447×C67C2211yescharacteristic
173#442×C67C2211yescharacteristic
174#441×C67C2211yescharacteristic, complemented
175#441×C67C2211yescharacteristic, complemented
176#441×C67C2211yescharacteristic, complemented
177#440×C67C2211yescharacteristic
178#440×C67C2211yescharacteristic
179#440×C67C2211yescharacteristic
180#440×C67C2211yescharacteristic, complemented
181C4×Q16×C67C2211yescharacteristic, complemented
182C4×Q16×C67C2211yescharacteristic, complemented
183C4×Q16×C67C2211yescharacteristic, complemented
184C4×SD16×C67C2211yescharacteristic
185C4×SD16×C67C2211yescharacteristic
186C4×SD16×C67C2211yescharacteristic
187C4×SD16×C67C2211yescharacteristic, complemented
188C4×D8×C67C2211yescharacteristic
189#433×C67C2211yescharacteristic
190#433×C67C2211yescharacteristic
191#433×C67C2211yescharacteristic, complemented
192#433×C67C2211yescharacteristic, complemented
193#432×C67C2211yescharacteristic
194#432×C67C2211yescharacteristic, complemented
195#431×C67C2211yescharacteristic
196#431×C67C2211yescharacteristic, complemented
197#423×C67C2211yescharacteristic, complemented
198C2×C4⋊C8×C67C2211yescharacteristic, complemented
199#408×C67C2211yescharacteristic
200#408×C67C2211yescharacteristic
201#405×C67C2211yescharacteristic, complemented
202#405×C67C2211yescharacteristic, complemented
203C2×#41×C67C2311yescharacteristic
204C2×#41×C67C2311yescharacteristic
205C22×Q8×C67C2311yescharacteristic
206C22×Q8×C67C2311yescharacteristic
207C22×D4×C67C2311yescharacteristic
208C2×Q16×C67C2311yescharacteristic
209C2×Q16×C67C2311yescharacteristic
210C2×Q16×C67C2311yescharacteristic
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×D8×C67C2311yescharacteristic
223C2×D8×C67C2311yescharacteristic
224C2×M16×C67C2311yescharacteristic
225C2×M16×C67C2311yescharacteristic
226C22×C8×C67C2311yescharacteristic
227C22×C8×C67C2311yescharacteristic
228C4⋊Q8×C67—21no—
229C4⋊Q8×C67—21no—
230C4⋊Q8×C67—21no—
231C4⋊Q8×C67C2311yescharacteristic
232C4⋊Q8×C67C2311yescharacteristic
233C4⋊Q8×C67C2311yescharacteristic
234C4⋊Q8×C67C2311yescharacteristic
235C4⋊Q8×C67C2311yescharacteristic
236C4⋊Q8×C67C2311yescharacteristic
237#127×C67—21no—
238#126×C67—21no—
239#126×C67—21no—
240#126×C67—21no—
241#126×C67—21no—
242#126×C67—21no—
243#126×C67—21no—
244#126×C67—21no—
245#126×C67—21no—
246#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#125×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×C67C2311yescharacteristic
262#125×C67C2311yescharacteristic
263#125×C67C2311yescharacteristic
264#125×C67C2311yescharacteristic
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×C67—21no—
272#124×C67—21no—
273#124×C67—21no—
274#124×C67—21no—
275#124×C67—21no—
276#124×C67C2311yescharacteristic
277#124×C67C2311yescharacteristic
278#124×C67C2311yescharacteristic
279#124×C67C2311yescharacteristic
280#124×C67C2311yescharacteristic
281#124×C67C2311yescharacteristic
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—
295#123×C67—21no—
296#123×C67—21no—
297#123×C67—21no—
298#123×C67—21no—
299#123×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×C67—21no—
310C22⋊Q8×C67—21no—
311C22⋊Q8×C67—21no—
312C22⋊Q8×C67—21no—
313C22⋊Q8×C67—21no—
314C22⋊Q8×C67—21no—
315C22⋊Q8×C67C2311yescharacteristic
316C22⋊Q8×C67C2311yescharacteristic
317C22⋊Q8×C67C2311yescharacteristic
318C22⋊Q8×C67C2311yescharacteristic
319C22⋊Q8×C67C2311yescharacteristic
320C22⋊Q8×C67C2311yescharacteristic
321C22⋊Q8×C67C2311yescharacteristic
322C22⋊Q8×C67C2311yescharacteristic
323C22⋊Q8×C67C2311yescharacteristic
324C22⋊Q8×C67C2311yescharacteristic
325#121×C67—21no—
326#121×C67—21no—
327#121×C67—21no—
328#121×C67C2311yescharacteristic
329#121×C67C2311yescharacteristic
330#121×C67C2311yescharacteristic
331#121×C67C2311yescharacteristic
332#121×C67C2311yescharacteristic
333#121×C67C2311yescharacteristic
334#120×C67—21no—
335#120×C67—21no—
336C4×Q8×C67—21no—
337C4×Q8×C67—21no—
338C4×Q8×C67—21no—
339C4×Q8×C67—21no—
340C4×Q8×C67—21no—
341C4×Q8×C67—21no—
342C4×Q8×C67—21no—
343C4×Q8×C67—21no—
344C4×Q8×C67D411yescharacteristic
345C4×Q8×C67D411yescharacteristic
346C4×Q8×C67C2311yescharacteristic
347C4×Q8×C67C2311yescharacteristic
348C4×Q8×C67C2311yescharacteristic
349C4×Q8×C67C2311yescharacteristic
350C4×Q8×C67C2311yescharacteristic
351C4×Q8×C67C2311yescharacteristic
352C4×Q8×C67C2311yescharacteristic
353C4×Q8×C67C2311yescharacteristic
354C4×Q8×C67C2311yescharacteristic
355C4×Q8×C67C2311yescharacteristic
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×C67—21no—
366C4×D4×C67D411yescharacteristic
367C4×D4×C67D411yescharacteristic
368C4×D4×C67D411yescharacteristic
369C4×D4×C67D411yescharacteristic
370C4×D4×C67D411yescharacteristic
371C4×D4×C67D411yescharacteristic
372C4×D4×C67C2311yescharacteristic
373C4×D4×C67C2311yescharacteristic
374C4×D4×C67C2311yescharacteristic
375C4×D4×C67C2311yescharacteristic
376C4×D4×C67C2311yescharacteristic
377C4×D4×C67C2311yescharacteristic
378#117×C67—21no—
379#117×C67—21no—
380#117×C67—21no—
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×C67C2311yescharacteristic
390#117×C67C2311yescharacteristic
391#117×C67C2311yescharacteristic
392#117×C67C2311yescharacteristic
393#117×C67C2311yescharacteristic
394#117×C67C2311yescharacteristic
395C2×C4⋊C4×C67—21no—
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×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#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#103×C67C2311yescharacteristic
443#103×C67C2311yescharacteristic
444#103×C67C2311yescharacteristic
445#103×C67C2311yescharacteristic
446#103×C67C2311yescharacteristic
447#103×C67C2311yescharacteristic
448#103×C67C2311yescharacteristic
449#103×C67C2311yescharacteristic
450#102×C67C2311yescharacteristic
451#102×C67C2311yescharacteristic
452#102×C67C2311yescharacteristic
453#102×C67C2311yescharacteristic
454#102×C67C2311yescharacteristic
455#102×C67C2311yescharacteristic
456#102×C67C2311yescharacteristic
457#102×C67C2311yescharacteristic
458#102×C67C2311yescharacteristic
459#102×C67C2311yescharacteristic
460#102×C67C2311yescharacteristic
461#102×C67C2311yescharacteristic
462C22⋊C8×C67C2311yescharacteristic
463C22⋊C8×C67C2311yescharacteristic
464C22⋊C8×C67C2311yescharacteristic
465C22⋊C8×C67C2311yescharacteristic
466C22⋊C8×C67C2311yescharacteristic
467C22⋊C8×C67C2311yescharacteristic
468C22⋊C8×C67C2311yescharacteristic
469C22⋊C8×C67C2311yescharacteristic
470#97×C67C2311yescharacteristic
471#97×C67C2311yescharacteristic
472#97×C67C2311yescharacteristic
473#97×C67C2311yescharacteristic
474C4×C8×C67C2311yescharacteristic
475C4×C8×C67C2311yescharacteristic
476C4×C8×C67C2311yescharacteristic
477C4×C8×C67C2311yescharacteristic
478C24×C67—21no—
479#41×C67—41no—
480#41×C67—41no—
481#41×C67—41no—
482#41×C67—41no—
483C2×Q8×C67—21no—
484C2×Q8×C67—21no—
485C2×Q8×C67—21no—
486C2×Q8×C67—21no—
487C2×Q8×C67—21no—
488C2×Q8×C67—21no—
489C2×Q8×C67—41no—
490C2×Q8×C67—41no—
491C2×Q8×C67—41no—
492C2×Q8×C67—41no—
493C2×Q8×C67C2×D411yescharacteristic
494C2×Q8×C67C2411yescharacteristic
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—41no—
508C2×D4×C67—41no—
509C2×D4×C67C2×D411yescharacteristic
510C2×D4×C67C2×D411yescharacteristic
511C2×D4×C67C2×D411yescharacteristic
512C2×D4×C67C2411yescharacteristic
513C2×D4×C67C2411yescharacteristic
514C2×D4×C67C2411yescharacteristic
515C22×C4×C67—21no—
516C22×C4×C67—21no—
517C22×C4×C67—21no—
518C22×C4×C67—21no—
519C22×C4×C67—21no—
520C22×C4×C67—21no—
521C22×C4×C67—21no—
522C22×C4×C67—21no—
523C22×C4×C67—21no—
524C22×C4×C67—21no—
525C22×C4×C67C2×D411yescharacteristic
526C22×C4×C67C2×D411yescharacteristic
527C22×C4×C67C2×D411yescharacteristic
528C22×C4×C67C2×D411yescharacteristic
529C22×C4×C67C2×D411yescharacteristic
530C22×C4×C67C2×D411yescharacteristic
531C22×C4×C67C2411yescharacteristic
532C22×C4×C67C2411yescharacteristic
533C22×C4×C67C2411yescharacteristic
534Q16×C67—41no—
535Q16×C67—41no—
536Q16×C67—41no—
537Q16×C67—41no—
538Q16×C67—41no—
539Q16×C67—41no—
540SD16×C67—41no—
541SD16×C67—41no—
542SD16×C67—41no—
543SD16×C67—41no—
544SD16×C67—41no—
545SD16×C67—41no—
546SD16×C67—41no—
547SD16×C67—41no—
548D8×C67—41no—
549D8×C67—41no—
550M16×C67—41no—
551M16×C67—41no—
552C2×C8×C67—41no—
553C2×C8×C67—41no—
554C2×C8×C67C2411yescharacteristic
555C2×C8×C67C2411yescharacteristic
556C2×C8×C67C2411yescharacteristic
557C2×C8×C67C2411yescharacteristic
558C2×C8×C67C2411yescharacteristic
559C2×C8×C67C2411yescharacteristic
560C2×C8×C67C2411yescharacteristic
561C2×C8×C67C2411yescharacteristic
562C4⋊C4×C67—21no—
563C4⋊C4×C67—21no—
564C4⋊C4×C67—21no—
565C4⋊C4×C67—21no—
566C4⋊C4×C67—21no—
567C4⋊C4×C67—21no—
568C4⋊C4×C67—21no—
569C4⋊C4×C67—21no—
570C4⋊C4×C67—21no—
571C4⋊C4×C67—21no—
572C4⋊C4×C67—21no—
573C4⋊C4×C67—21no—
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×C67C2×D411yescharacteristic
600C4⋊C4×C67C2×D411yescharacteristic
601C4⋊C4×C67C2×D411yescharacteristic
602C4⋊C4×C67C2×D411yescharacteristic
603C4⋊C4×C67C2×D411yescharacteristic
604C4⋊C4×C67C2×D411yescharacteristic
605C4⋊C4×C67C2411yescharacteristic
606C4⋊C4×C67C2411yescharacteristic
607C4⋊C4×C67C2411yescharacteristic
608C4⋊C4×C67C2411yescharacteristic
609C4⋊C4×C67C2411yescharacteristic
610C4⋊C4×C67C2411yescharacteristic
611C4⋊C4×C67C2411yescharacteristic
612C4⋊C4×C67C2411yescharacteristic
613C22⋊C4×C67—21no—
614C22⋊C4×C67—21no—
615C22⋊C4×C67—21no—
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×C67C2×D411yescharacteristic
651C22⋊C4×C67C2×D411yescharacteristic
652C22⋊C4×C67C2×D411yescharacteristic
653C22⋊C4×C67C2×D411yescharacteristic
654C22⋊C4×C67C2×D411yescharacteristic
655C22⋊C4×C67C2×D411yescharacteristic
656C42×C67—21no—
657C42×C67—21no—
658C42×C67—21no—
659C42×C67—21no—
660C42×C67—21no—
661C42×C67—21no—
662C42×C67—21no—
663C42×C67—21no—
664C42×C67—21no—
665C42×C67—21no—
666C42×C67—21no—
667C42×C67—21no—
668C42×C67—21no—
669C42×C67C2×D411yescharacteristic
670C42×C67C2×D411yescharacteristic
671C42×C67C2×D411yescharacteristic
672C42×C67C2×D411yescharacteristic
673C42×C67C2×D411yescharacteristic
674C42×C67C2×D411yescharacteristic
675C42×C67C2411yescharacteristic
676C42×C67C2411yescharacteristic
677C42×C67C2411yescharacteristic
678C42×C67C2411yescharacteristic
679C23×C67—21no—
680C23×C67—21no—
681C23×C67—21no—
682C23×C67—42no—
683C23×C67—81no—
684C23×C67—81no—
685C23×C67C22×D411yescharacteristic
686C23×C67C22×D411yescharacteristic
687C23×C67C22×D411yescharacteristic
688Q8×C67—21no—
689Q8×C67—21no—
690Q8×C67—21no—
691Q8×C67—21no—
692Q8×C67—21no—
693Q8×C67—21no—
694Q8×C67—21no—
695Q8×C67—21no—
696Q8×C67—21no—
697Q8×C67—21no—
698Q8×C67—41no—
699Q8×C67—42no—
700Q8×C67—42no—
701Q8×C67—81no—
702Q8×C67—81no—
703Q8×C67—81no—
704Q8×C67—81no—
705D4×C67—21no—
706D4×C67—21no—
707D4×C67—21no—
708D4×C67—21no—
709D4×C67—21no—
710D4×C67—21no—
711D4×C67—41no—
712D4×C67—41no—
713D4×C67—41no—
714D4×C67—42no—
715D4×C67—42no—
716D4×C67—81no—
717D4×C67—81no—
718D4×C67—81no—
719D4×C67—81no—
720D4×C67—81no—
721D4×C67—81no—
722C2×C4×C67—21no—
723C2×C4×C67—21no—
724C2×C4×C67—21no—
725C2×C4×C67—21no—
726C2×C4×C67—21no—
727C2×C4×C67—21no—
728C2×C4×C67—21no—
729C2×C4×C67—21no—
730C2×C4×C67—21no—
731C2×C4×C67—21no—
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—41no—
742C2×C4×C67—41no—
743C2×C4×C67—41no—
744C2×C4×C67—41no—
745C2×C4×C67—41no—
746C2×C4×C67—41no—
747C2×C4×C67—42no—
748C2×C4×C67—42no—
749C2×C4×C67—42no—
750C2×C4×C67—42no—
751C2×C4×C67—81no—
752C2×C4×C67—81no—
753C2×C4×C67—81no—
754C2×C4×C67—81no—
755C2×C4×C67—81no—
756C2×C4×C67—81no—
757C2×C4×C67C22×D411yescharacteristic
758C2×C4×C67C22×D411yescharacteristic
759C2×C4×C67C22×D411yescharacteristic
760C2×C4×C67C22×D411yescharacteristic
761C2×C4×C67C22×D411yescharacteristic
762C2×C4×C67C22×D411yescharacteristic
763C2×C4×C67C22×D411yescharacteristic
764C2×C4×C67C22×D411yescharacteristic
765C2×C4×C67C22×D411yescharacteristic
766C2×C4×C67C22×D411yescharacteristic
767C2×C4×C67C22×D411yescharacteristic
768C2×C4×C67C2511yescharacteristic
769C8×C67—21no—
770C8×C67—21no—
771C8×C67—21no—
772C8×C67—21no—
773C8×C67—21no—
774C8×C67—21no—
775C8×C67—21no—
776C8×C67—21no—
777C22×C67—21no—
778C22×C67—21no—
779C22×C67—21no—
780C22×C67—21no—
781C22×C67—21no—
782C22×C67—21no—
783C22×C67—21no—
784C22×C67—21no—
785C22×C67—21no—
786C22×C67—41no—
787C22×C67—41no—
788C22×C67—41no—
789C22×C67—41no—
790C22×C67—41no—
791C22×C67—41no—
792C22×C67—41no—
793C22×C67—41no—
794C22×C67—41no—
795C22×C67—162no—
796C22×C67C23×D411yescharacteristic
797C4×C67—21no—
798C4×C67—21no—
799C4×C67—21no—
800C4×C67—21no—
801C4×C67—21no—
802C4×C67—21no—
803C4×C67—21no—
804C4×C67—21no—
805C4×C67—21no—
806C4×C67—21no—
807C4×C67—21no—
808C4×C67—41no—
809C4×C67—41no—
810C4×C67—41no—
811C4×C67—41no—
812C4×C67—41no—
813C4×C67—41no—
814C4×C67—41no—
815C4×C67—41no—
816C4×C67—41no—
817C4×C67—41no—
818C4×C67—41no—
819C4×C67—41no—
820C4×C67—41no—
821C4×C67#58511yescharacteristic
822C4×C67#58511yescharacteristic
823#60996C6711yesmaximal, characteristic, direct product factor, Sylow
824C2×C67—41no—
825C2×C67—41no—
826C2×C67—41no—
827C2×C67—81no—
828C2×C67—81no—
829C2×C67—81no—
830C2×C67#344911yescharacteristic
831C2×C67#358411yescharacteristic
832C2×C67#358611yescharacteristic
833#3510C2×C6711yescharacteristic, complemented
834#3461C2×C6711yescharacteristic, complemented
835#3256C2×C6711yescharacteristic, complemented
836#3252C2×C6711yescharacteristic, complemented
837#3250C2×C6711yescharacteristic, complemented
838#3248C2×C6711yescharacteristic, complemented
839#3244C2×C6711yescharacteristic, complemented
840#3243C2×C6711yescharacteristic, complemented
841#3240C2×C6711yescharacteristic, complemented
842#3231C2×C6711yescharacteristic, complemented
843#3225C2×C6711yescharacteristic, complemented
844#3225C2×C6711yescharacteristic, complemented
845#3215C2×C6711yescharacteristic, complemented
846#3211C2×C6711yescharacteristic, complemented
847#3202C2×C6711yescharacteristic, complemented
848#3201C2×C6711yescharacteristic, complemented
849#3200C2×C6711yescharacteristic, complemented
850#3198C2×C6711yescharacteristic
851#3178C2×C6711yescharacteristic, complemented
852#3178C2×C6711yescharacteristic, complemented
853#3175C2×C6711yescharacteristic, complemented
854#3173C2×C6711yescharacteristic, complemented
855#3127C2×C6711yescharacteristic, complemented
856#3123C2×C6711yescharacteristic, complemented
857#3121C2×C6711yescharacteristic, complemented
858#3118C2×C6711yescharacteristic, complemented
859#3117C2×C6711yescharacteristic, complemented
860#3111C2×C6711yescharacteristic, complemented
861#3108C2×C6711yescharacteristic, complemented
862#3102C2×C6711yescharacteristic, complemented
863#2925C2×C6711yescharacteristic, complemented
864C67#6099611yescharacteristic, direct product factor, Sylow
865#559—21no—
866#559—21no—
867#556—21no—
868#556—21no—
869#551—21no—
870#551—21no—
871#551—21no—
872#551—21no—
873#544C22×C6711yescharacteristic, complemented
874#542—21no—
875#542C22×C6711yescharacteristic
876#542C22×C6711yescharacteristic
877#542C22×C6711yescharacteristic
878#542C22×C6711yescharacteristic
879#542C22×C6711yescharacteristic
880#542C22×C6711yescharacteristic, complemented
881#541—21no—
882#541C22×C6711yescharacteristic
883#541C22×C6711yescharacteristic, complemented
884#539—21no—
885#539—21no—
886#537C22×C6711yescharacteristic
887#536C22×C6711yescharacteristic
888#536C22×C6711yescharacteristic
889#536C22×C6711yescharacteristic, complemented
890#535C22×C6711yescharacteristic
891#533—21no—
892#533C22×C6711yescharacteristic
893#533C22×C6711yescharacteristic
894#533C22×C6711yescharacteristic, complemented
895#529—21no—
896#529—21no—
897#529—21no—
898#529C22×C6711yescharacteristic
899#529C22×C6711yescharacteristic
900#529C22×C6711yescharacteristic
901#529C22×C6711yescharacteristic
902#529C22×C6711yescharacteristic
903#529C22×C6711yescharacteristic, complemented
904C2×#124C22×C6711yescharacteristic
905#519C22×C6711yescharacteristic
906#518C22×C6711yescharacteristic
907C4×#41C22×C6711yescharacteristic
908C4×#41C22×C6711yescharacteristic, complemented
909C2×C4×Q8C22×C6711yescharacteristic, complemented
910#501C22×C6711yescharacteristic, complemented
911#501C22×C6711yescharacteristic, complemented
912#500C22×C6711yescharacteristic, complemented
913#498C22×C6711yescharacteristic, complemented
914#497C22×C6711yescharacteristic
915#497C22×C6711yescharacteristic
916#495C22×C6711yescharacteristic
917#495C22×C6711yescharacteristic
918#489C22×C6711yescharacteristic
919#489C22×C6711yescharacteristic
920#489C22×C6711yescharacteristic, complemented
921#489C22×C6711yescharacteristic, complemented
922#488C22×C6711yescharacteristic
923#488C22×C6711yescharacteristic
924#487C22×C6711yescharacteristic, complemented
925#487C22×C6711yescharacteristic, complemented
926#485C22×C6711yescharacteristic
927#485C22×C6711yescharacteristic
928#485C22×C6711yescharacteristic
929#485C22×C6711yescharacteristic
930#485C22×C6711yescharacteristic
931#485C22×C6711yescharacteristic
932#485C22×C6711yescharacteristic, complemented
933#485C22×C6711yescharacteristic, complemented
934#484C22×C6711yescharacteristic, complemented
935#483C22×C6711yescharacteristic, complemented
936#482C22×C6711yescharacteristic
937#482C22×C6711yescharacteristic
938#482C22×C6711yescharacteristic
939#482C22×C6711yescharacteristic
940#481C22×C6711yescharacteristic
941#480C22×C6711yescharacteristic
942#479C22×C6711yescharacteristic, complemented
943#479C22×C6711yescharacteristic, complemented
944#479C22×C6711yescharacteristic, complemented
945#479C22×C6711yescharacteristic, complemented
946#479C22×C6711yescharacteristic, complemented
947#479C22×C6711yescharacteristic, complemented
948#479C22×C6711yescharacteristic, complemented
949#479C22×C6711yescharacteristic, complemented
950#478C22×C6711yescharacteristic
951#478C22×C6711yescharacteristic
952#478C22×C6711yescharacteristic, complemented
953#478C22×C6711yescharacteristic, complemented
954#477C22×C6711yescharacteristic, complemented
955#476C22×C6711yescharacteristic
956#475C22×C6711yescharacteristic, complemented
957#474C22×C6711yescharacteristic
958#470C22×C6711yescharacteristic, complemented
959#470C22×C6711yescharacteristic, complemented
960#470C22×C6711yescharacteristic, complemented
961#469C22×C6711yescharacteristic
962#468C22×C6711yescharacteristic
963#468C22×C6711yescharacteristic
964#468C22×C6711yescharacteristic
965#468C22×C6711yescharacteristic, complemented
966#467C22×C6711yescharacteristic, complemented
967#467C22×C6711yescharacteristic, complemented
968#467C22×C6711yescharacteristic, complemented
969#466C22×C6711yescharacteristic
970#465C22×C6711yescharacteristic
971#465C22×C6711yescharacteristic
972#465C22×C6711yescharacteristic
973#465C22×C6711yescharacteristic, complemented
974#464C22×C6711yescharacteristic
975#464C22×C6711yescharacteristic
976#464C22×C6711yescharacteristic
977#464C22×C6711yescharacteristic
978#464C22×C6711yescharacteristic
979#464C22×C6711yescharacteristic
980#464C22×C6711yescharacteristic, complemented
981#464C22×C6711yescharacteristic, complemented
982#463C22×C6711yescharacteristic
983#463C22×C6711yescharacteristic
984#463C22×C6711yescharacteristic
985#463C22×C6711yescharacteristic
986#462C22×C6711yescharacteristic, complemented
987#462C22×C6711yescharacteristic, complemented
988#461C22×C6711yescharacteristic
989#461C22×C6711yescharacteristic
990#452C22×C6711yescharacteristic, complemented
991#452C22×C6711yescharacteristic, complemented
992#451C22×C6711yescharacteristic
993#451C22×C6711yescharacteristic
994#451C22×C6711yescharacteristic
995#451C22×C6711yescharacteristic, complemented
996#451C22×C6711yescharacteristic, complemented
997#450C22×C6711yescharacteristic
998#450C22×C6711yescharacteristic
999#450C22×C6711yescharacteristic
1000#449C22×C6711yescharacteristic
1001#449C22×C6711yescharacteristic
1002#448C22×C6711yescharacteristic
1003#448C22×C6711yescharacteristic
1004#448C22×C6711yescharacteristic
1005#447C22×C6711yescharacteristic
1006#442C22×C6711yescharacteristic
1007#441C22×C6711yescharacteristic, complemented
1008#441C22×C6711yescharacteristic, complemented
1009#441C22×C6711yescharacteristic, complemented
1010#440C22×C6711yescharacteristic
1011#440C22×C6711yescharacteristic
1012#440C22×C6711yescharacteristic
1013#440C22×C6711yescharacteristic, complemented
1014C4×Q16C22×C6711yescharacteristic, complemented
1015C4×Q16C22×C6711yescharacteristic, complemented
1016C4×Q16C22×C6711yescharacteristic, complemented
1017C4×SD16C22×C6711yescharacteristic
1018C4×SD16C22×C6711yescharacteristic
1019C4×SD16C22×C6711yescharacteristic
1020C4×SD16C22×C6711yescharacteristic, complemented
1021C4×D8C22×C6711yescharacteristic
1022#433C22×C6711yescharacteristic
1023#433C22×C6711yescharacteristic
1024#433C22×C6711yescharacteristic, complemented
1025#433C22×C6711yescharacteristic, complemented
1026#432C22×C6711yescharacteristic
1027#432C22×C6711yescharacteristic, complemented
1028#431C22×C6711yescharacteristic
1029#431C22×C6711yescharacteristic, complemented
1030#423C22×C6711yescharacteristic, complemented
1031C2×C4⋊C8C22×C6711yescharacteristic, complemented
1032#408C22×C6711yescharacteristic
1033#408C22×C6711yescharacteristic
1034#405C22×C6711yescharacteristic, complemented
1035#405C22×C6711yescharacteristic, complemented
1036C2×#41C23×C6711yescharacteristic
1037C2×#41C23×C6711yescharacteristic
1038C22×Q8C23×C6711yescharacteristic
1039C22×Q8C23×C6711yescharacteristic
1040C22×D4C23×C6711yescharacteristic
1041C2×Q16C23×C6711yescharacteristic
1042C2×Q16C23×C6711yescharacteristic
1043C2×Q16C23×C6711yescharacteristic
1044C2×Q16C23×C6711yescharacteristic
1045C2×Q16C23×C6711yescharacteristic
1046C2×Q16C23×C6711yescharacteristic
1047C2×SD16C23×C6711yescharacteristic
1048C2×SD16C23×C6711yescharacteristic
1049C2×SD16C23×C6711yescharacteristic
1050C2×SD16C23×C6711yescharacteristic
1051C2×SD16C23×C6711yescharacteristic
1052C2×SD16C23×C6711yescharacteristic
1053C2×SD16C23×C6711yescharacteristic
1054C2×SD16C23×C6711yescharacteristic
1055C2×D8C23×C6711yescharacteristic
1056C2×D8C23×C6711yescharacteristic
1057C2×M16C23×C6711yescharacteristic
1058C2×M16C23×C6711yescharacteristic
1059C22×C8C23×C6711yescharacteristic
1060C22×C8C23×C6711yescharacteristic
1061C4⋊Q8—21no—
1062C4⋊Q8—21no—
1063C4⋊Q8—21no—
1064C4⋊Q8C23×C6711yescharacteristic
1065C4⋊Q8C23×C6711yescharacteristic
1066C4⋊Q8C23×C6711yescharacteristic
1067C4⋊Q8C23×C6711yescharacteristic
1068C4⋊Q8C23×C6711yescharacteristic
1069C4⋊Q8C23×C6711yescharacteristic
1070#127—21no—
1071#126—21no—
1072#126—21no—
1073#126—21no—
1074#126—21no—
1075#126—21no—
1076#126—21no—
1077#126—21no—
1078#126—21no—
1079#126—21no—
1080#126—21no—
1081#126—21no—
1082#126—21no—
1083#126—21no—
1084#126—21no—
1085#126—21no—
1086#126—21no—
1087#125—21no—
1088#125—21no—
1089#125—21no—
1090#125—21no—
1091#125—21no—
1092#125—21no—
1093#125—21no—
1094#125C23×C6711yescharacteristic
1095#125C23×C6711yescharacteristic
1096#125C23×C6711yescharacteristic
1097#125C23×C6711yescharacteristic
1098#124—21no—
1099#124—21no—
1100#124—21no—
1101#124—21no—
1102#124—21no—
1103#124—21no—
1104#124—21no—
1105#124—21no—
1106#124—21no—
1107#124—21no—
1108#124—21no—
1109#124C23×C6711yescharacteristic
1110#124C23×C6711yescharacteristic
1111#124C23×C6711yescharacteristic
1112#124C23×C6711yescharacteristic
1113#124C23×C6711yescharacteristic
1114#124C23×C6711yescharacteristic
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—21no—
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8C23×C6711yescharacteristic
1149C22⋊Q8C23×C6711yescharacteristic
1150C22⋊Q8C23×C6711yescharacteristic
1151C22⋊Q8C23×C6711yescharacteristic
1152C22⋊Q8C23×C6711yescharacteristic
1153C22⋊Q8C23×C6711yescharacteristic
1154C22⋊Q8C23×C6711yescharacteristic
1155C22⋊Q8C23×C6711yescharacteristic
1156C22⋊Q8C23×C6711yescharacteristic
1157C22⋊Q8C23×C6711yescharacteristic
1158#121—21no—
1159#121—21no—
1160#121—21no—
1161#121C23×C6711yescharacteristic
1162#121C23×C6711yescharacteristic
1163#121C23×C6711yescharacteristic
1164#121C23×C6711yescharacteristic
1165#121C23×C6711yescharacteristic
1166#121C23×C6711yescharacteristic
1167#120—21no—
1168#120—21no—
1169C4×Q8—21no—
1170C4×Q8—21no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—21no—
1174C4×Q8—21no—
1175C4×Q8—21no—
1176C4×Q8—21no—
1177C4×Q8D4×C6711yescharacteristic
1178C4×Q8D4×C6711yescharacteristic
1179C4×Q8C23×C6711yescharacteristic
1180C4×Q8C23×C6711yescharacteristic
1181C4×Q8C23×C6711yescharacteristic
1182C4×Q8C23×C6711yescharacteristic
1183C4×Q8C23×C6711yescharacteristic
1184C4×Q8C23×C6711yescharacteristic
1185C4×Q8C23×C6711yescharacteristic
1186C4×Q8C23×C6711yescharacteristic
1187C4×Q8C23×C6711yescharacteristic
1188C4×Q8C23×C6711yescharacteristic
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4D4×C6711yescharacteristic
1200C4×D4D4×C6711yescharacteristic
1201C4×D4D4×C6711yescharacteristic
1202C4×D4D4×C6711yescharacteristic
1203C4×D4D4×C6711yescharacteristic
1204C4×D4D4×C6711yescharacteristic
1205C4×D4C23×C6711yescharacteristic
1206C4×D4C23×C6711yescharacteristic
1207C4×D4C23×C6711yescharacteristic
1208C4×D4C23×C6711yescharacteristic
1209C4×D4C23×C6711yescharacteristic
1210C4×D4C23×C6711yescharacteristic
1211#117—21no—
1212#117—21no—
1213#117—21no—
1214#117—21no—
1215#117—21no—
1216#117—21no—
1217#117—21no—
1218#117—21no—
1219#117—21no—
1220#117—21no—
1221#117—21no—
1222#117C23×C6711yescharacteristic
1223#117C23×C6711yescharacteristic
1224#117C23×C6711yescharacteristic
1225#117C23×C6711yescharacteristic
1226#117C23×C6711yescharacteristic
1227#117C23×C6711yescharacteristic
1228C2×C4⋊C4—21no—
1229C2×C4⋊C4C23×C6711yescharacteristic
1230C2×C22⋊C4—21no—
1231C2×C22⋊C4—21no—
1232C2×C22⋊C4—21no—
1233C2×C22⋊C4—21no—
1234C2×C42—21no—
1235C2×C42—21no—
1236C2×C42C23×C6711yescharacteristic
1237C2×C42C23×C6711yescharacteristic
1238C2×C42C23×C6711yescharacteristic
1239#107C23×C6711yescharacteristic
1240#107C23×C6711yescharacteristic
1241#107C23×C6711yescharacteristic
1242#107C23×C6711yescharacteristic
1243#107C23×C6711yescharacteristic
1244#107C23×C6711yescharacteristic
1245#107C23×C6711yescharacteristic
1246#107C23×C6711yescharacteristic
1247#106C23×C6711yescharacteristic
1248#106C23×C6711yescharacteristic
1249#106C23×C6711yescharacteristic
1250#106C23×C6711yescharacteristic
1251#106C23×C6711yescharacteristic
1252#106C23×C6711yescharacteristic
1253#106C23×C6711yescharacteristic
1254#106C23×C6711yescharacteristic
1255C4⋊C8C23×C6711yescharacteristic
1256C4⋊C8C23×C6711yescharacteristic
1257C4⋊C8C23×C6711yescharacteristic
1258C4⋊C8C23×C6711yescharacteristic
1259C4⋊C8C23×C6711yescharacteristic
1260C4⋊C8C23×C6711yescharacteristic
1261C4⋊C8C23×C6711yescharacteristic
1262C4⋊C8C23×C6711yescharacteristic
1263#103C23×C6711yescharacteristic
1264#103C23×C6711yescharacteristic
1265#103C23×C6711yescharacteristic
1266#103C23×C6711yescharacteristic
1267#103C23×C6711yescharacteristic
1268#103C23×C6711yescharacteristic
1269#103C23×C6711yescharacteristic
1270#103C23×C6711yescharacteristic
1271#103C23×C6711yescharacteristic
1272#103C23×C6711yescharacteristic
1273#103C23×C6711yescharacteristic
1274#103C23×C6711yescharacteristic
1275#103C23×C6711yescharacteristic
1276#103C23×C6711yescharacteristic
1277#103C23×C6711yescharacteristic
1278#103C23×C6711yescharacteristic
1279#103C23×C6711yescharacteristic
1280#103C23×C6711yescharacteristic
1281#103C23×C6711yescharacteristic
1282#103C23×C6711yescharacteristic
1283#102C23×C6711yescharacteristic
1284#102C23×C6711yescharacteristic
1285#102C23×C6711yescharacteristic
1286#102C23×C6711yescharacteristic
1287#102C23×C6711yescharacteristic
1288#102C23×C6711yescharacteristic
1289#102C23×C6711yescharacteristic
1290#102C23×C6711yescharacteristic
1291#102C23×C6711yescharacteristic
1292#102C23×C6711yescharacteristic
1293#102C23×C6711yescharacteristic
1294#102C23×C6711yescharacteristic
1295C22⋊C8C23×C6711yescharacteristic
1296C22⋊C8C23×C6711yescharacteristic
1297C22⋊C8C23×C6711yescharacteristic
1298C22⋊C8C23×C6711yescharacteristic
1299C22⋊C8C23×C6711yescharacteristic
1300C22⋊C8C23×C6711yescharacteristic
1301C22⋊C8C23×C6711yescharacteristic
1302C22⋊C8C23×C6711yescharacteristic
1303#97C23×C6711yescharacteristic
1304#97C23×C6711yescharacteristic
1305#97C23×C6711yescharacteristic
1306#97C23×C6711yescharacteristic
1307C4×C8C23×C6711yescharacteristic
1308C4×C8C23×C6711yescharacteristic
1309C4×C8C23×C6711yescharacteristic
1310C4×C8C23×C6711yescharacteristic
1311C24—21no—
1312#41—41no—
1313#41—41no—
1314#41—41no—
1315#41—41no—
1316C2×Q8—21no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—21no—
1320C2×Q8—21no—
1321C2×Q8—21no—
1322C2×Q8—41no—
1323C2×Q8—41no—
1324C2×Q8—41no—
1325C2×Q8—41no—
1326C2×Q8C2×D4×C6711yescharacteristic
1327C2×Q8C24×C6711yescharacteristic
1328C2×Q8C24×C6711yescharacteristic
1329C2×Q8C24×C6711yescharacteristic
1330C2×Q8C24×C6711yescharacteristic
1331C2×Q8C24×C6711yescharacteristic
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4C2×D4×C6711yescharacteristic
1343C2×D4C2×D4×C6711yescharacteristic
1344C2×D4C2×D4×C6711yescharacteristic
1345C2×D4C24×C6711yescharacteristic
1346C2×D4C24×C6711yescharacteristic
1347C2×D4C24×C6711yescharacteristic
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4C2×D4×C6711yescharacteristic
1359C22×C4C2×D4×C6711yescharacteristic
1360C22×C4C2×D4×C6711yescharacteristic
1361C22×C4C2×D4×C6711yescharacteristic
1362C22×C4C2×D4×C6711yescharacteristic
1363C22×C4C2×D4×C6711yescharacteristic
1364C22×C4C24×C6711yescharacteristic
1365C22×C4C24×C6711yescharacteristic
1366C22×C4C24×C6711yescharacteristic
1367Q16—41no—
1368Q16—41no—
1369Q16—41no—
1370Q16—41no—
1371Q16—41no—
1372Q16—41no—
1373SD16—41no—
1374SD16—41no—
1375SD16—41no—
1376SD16—41no—
1377SD16—41no—
1378SD16—41no—
1379SD16—41no—
1380SD16—41no—
1381D8—41no—
1382D8—41no—
1383M16—41no—
1384M16—41no—
1385C2×C8—41no—
1386C2×C8—41no—
1387C2×C8C24×C6711yescharacteristic
1388C2×C8C24×C6711yescharacteristic
1389C2×C8C24×C6711yescharacteristic
1390C2×C8C24×C6711yescharacteristic
1391C2×C8C24×C6711yescharacteristic
1392C2×C8C24×C6711yescharacteristic
1393C2×C8C24×C6711yescharacteristic
1394C2×C8C24×C6711yescharacteristic
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
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⋊C4C2×D4×C6711yescharacteristic
1433C4⋊C4C2×D4×C6711yescharacteristic
1434C4⋊C4C2×D4×C6711yescharacteristic
1435C4⋊C4C2×D4×C6711yescharacteristic
1436C4⋊C4C2×D4×C6711yescharacteristic
1437C4⋊C4C2×D4×C6711yescharacteristic
1438C4⋊C4C24×C6711yescharacteristic
1439C4⋊C4C24×C6711yescharacteristic
1440C4⋊C4C24×C6711yescharacteristic
1441C4⋊C4C24×C6711yescharacteristic
1442C4⋊C4C24×C6711yescharacteristic
1443C4⋊C4C24×C6711yescharacteristic
1444C4⋊C4C24×C6711yescharacteristic
1445C4⋊C4C24×C6711yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
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⋊C4C2×D4×C6711yescharacteristic
1484C22⋊C4C2×D4×C6711yescharacteristic
1485C22⋊C4C2×D4×C6711yescharacteristic
1486C22⋊C4C2×D4×C6711yescharacteristic
1487C22⋊C4C2×D4×C6711yescharacteristic
1488C22⋊C4C2×D4×C6711yescharacteristic
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42—21no—
1498C42—21no—
1499C42—21no—
1500C42—21no—
1501C42—21no—
1502C42C2×D4×C6711yescharacteristic
1503C42C2×D4×C6711yescharacteristic
1504C42C2×D4×C6711yescharacteristic
1505C42C2×D4×C6711yescharacteristic
1506C42C2×D4×C6711yescharacteristic
1507C42C2×D4×C6711yescharacteristic
1508C42C24×C6711yescharacteristic
1509C42C24×C6711yescharacteristic
1510C42C24×C6711yescharacteristic
1511C42C24×C6711yescharacteristic
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—42no—
1516C23—81no—
1517C23—81no—
1518C23C22×D4×C6711yescharacteristic
1519C23C22×D4×C6711yescharacteristic
1520C23C22×D4×C6711yescharacteristic
1521Q8—21no—
1522Q8—21no—
1523Q8—21no—
1524Q8—21no—
1525Q8—21no—
1526Q8—21no—
1527Q8—21no—
1528Q8—21no—
1529Q8—21no—
1530Q8—21no—
1531Q8—41no—
1532Q8—42no—
1533Q8—42no—
1534Q8—81no—
1535Q8—81no—
1536Q8—81no—
1537Q8—81no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—21no—
1542D4—21no—
1543D4—21no—
1544D4—41no—
1545D4—41no—
1546D4—41no—
1547D4—42no—
1548D4—42no—
1549D4—81no—
1550D4—81no—
1551D4—81no—
1552D4—81no—
1553D4—81no—
1554D4—81no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—42no—
1581C2×C4—42no—
1582C2×C4—42no—
1583C2×C4—42no—
1584C2×C4—81no—
1585C2×C4—81no—
1586C2×C4—81no—
1587C2×C4—81no—
1588C2×C4—81no—
1589C2×C4—81no—
1590C2×C4C22×D4×C6711yescharacteristic
1591C2×C4C22×D4×C6711yescharacteristic
1592C2×C4C22×D4×C6711yescharacteristic
1593C2×C4C22×D4×C6711yescharacteristic
1594C2×C4C22×D4×C6711yescharacteristic
1595C2×C4C22×D4×C6711yescharacteristic
1596C2×C4C22×D4×C6711yescharacteristic
1597C2×C4C22×D4×C6711yescharacteristic
1598C2×C4C22×D4×C6711yescharacteristic
1599C2×C4C22×D4×C6711yescharacteristic
1600C2×C4C22×D4×C6711yescharacteristic
1601C2×C4C25×C6711yescharacteristic
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—21no—
1606C8—21no—
1607C8—21no—
1608C8—21no—
1609C8—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—21no—
1618C22—21no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—162no—
1629C22C23×D4×C6711yescharacteristic
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—21no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4#585×C6711yescharacteristic
1655C4#585×C6711yescharacteristic
1656C2—41no—
1657C2—41no—
1658C2—41no—
1659C2—81no—
1660C2—81no—
1661C2—81no—
1662C2C67×#344911yescharacteristic
1663C2C67×#358411yescharacteristic
1664C2C67×#358611yescharacteristic
subgroupG/H
center, socleC22×C67C23×D4
commutator, Frattini, cosocleC2×C4C25×C67
prime radicalC67×#3198C2
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×#3461C2semidirect
3. C67×#3256C2semidirect
4. C67×#3252C2semidirect
5. C67×#3250C2semidirect
6. C67×#3248C2semidirect
7. C67×#3244C2semidirect
8. C67×#3243C2semidirect
9. C67×#3240C2semidirect
10. C67×#3231C2semidirect
11. C67×#3225C2semidirect
12. C67×#3225C2semidirect
13. C67×#3215C2semidirect
14. C67×#3211C2semidirect
15. C67×#3202C2semidirect
16. C67×#3201C2semidirect
17. C67×#3200C2semidirect
19. C67×#3178C2semidirect
20. C67×#3178C2semidirect
21. C67×#3175C2semidirect
22. C67×#3173C2semidirect
23. C67×#3127C2semidirect
24. C67×#3123C2semidirect
25. C67×#3121C2semidirect
26. C67×#3118C2semidirect
27. C67×#3117C2semidirect
28. C67×#3111C2semidirect
29. C67×#3108C2semidirect
30. C67×#3102C2semidirect
31. C67×#2925C2semidirect
40. #544×C67C22semidirect
47. #542×C67C22semidirect
50. #541×C67C22semidirect
56. #536×C67C22semidirect
61. #533×C67C22semidirect
70. #529×C67C22semidirect
75. C4×#41×C67C22semidirect
76. C2×C4×Q8×C67C22semidirect
77. #501×C67C22semidirect
78. #501×C67C22semidirect
79. #500×C67C22semidirect
80. #498×C67C22semidirect
87. #489×C67C22semidirect
88. #489×C67C22semidirect
91. #487×C67C22semidirect
92. #487×C67C22semidirect
99. #485×C67C22semidirect
100. #485×C67C22semidirect
101. #484×C67C22semidirect
102. #483×C67C22semidirect
109. #479×C67C22semidirect
110. #479×C67C22semidirect
111. #479×C67C22semidirect
112. #479×C67C22semidirect
113. #479×C67C22semidirect
114. #479×C67C22semidirect
115. #479×C67C22semidirect
116. #479×C67C22semidirect
119. #478×C67C22semidirect
120. #478×C67C22semidirect
121. #477×C67C22semidirect
123. #475×C67C22semidirect
125. #470×C67C22semidirect
126. #470×C67C22semidirect
127. #470×C67C22semidirect
132. #468×C67C22semidirect
133. #467×C67C22semidirect
134. #467×C67C22semidirect
135. #467×C67C22semidirect
140. #465×C67C22semidirect
147. #464×C67C22semidirect
148. #464×C67C22semidirect
153. #462×C67C22semidirect
154. #462×C67C22semidirect
157. #452×C67C22semidirect
158. #452×C67C22semidirect
162. #451×C67C22semidirect
163. #451×C67C22semidirect
174. #441×C67C22semidirect
175. #441×C67C22semidirect
176. #441×C67C22semidirect
180. #440×C67C22semidirect
181. C4×Q16×C67C22semidirect
182. C4×Q16×C67C22semidirect
183. C4×Q16×C67C22semidirect
187. C4×SD16×C67C22semidirect
191. #433×C67C22semidirect
192. #433×C67C22semidirect
194. #432×C67C22semidirect
196. #431×C67C22semidirect
197. #423×C67C22semidirect
198. C2×C4⋊C8×C67C22semidirect
201. #405×C67C22semidirect
202. #405×C67C22semidirect
823. #60996C67direct (N × H)
833. #3510C2×C67semidirect
834. #3461C2×C67semidirect
835. #3256C2×C67semidirect
836. #3252C2×C67semidirect
837. #3250C2×C67semidirect
838. #3248C2×C67semidirect
839. #3244C2×C67semidirect
840. #3243C2×C67semidirect
841. #3240C2×C67semidirect
842. #3231C2×C67semidirect
843. #3225C2×C67semidirect
844. #3225C2×C67semidirect
845. #3215C2×C67semidirect
846. #3211C2×C67semidirect
847. #3202C2×C67semidirect
848. #3201C2×C67semidirect
849. #3200C2×C67semidirect
851. #3178C2×C67semidirect
852. #3178C2×C67semidirect
853. #3175C2×C67semidirect
854. #3173C2×C67semidirect
855. #3127C2×C67semidirect
856. #3123C2×C67semidirect
857. #3121C2×C67semidirect
858. #3118C2×C67semidirect
859. #3117C2×C67semidirect
860. #3111C2×C67semidirect
861. #3108C2×C67semidirect
862. #3102C2×C67semidirect
863. #2925C2×C67semidirect
864. C67#60996direct (N × H)
873. #544C22×C67semidirect
880. #542C22×C67semidirect
883. #541C22×C67semidirect
889. #536C22×C67semidirect
894. #533C22×C67semidirect
903. #529C22×C67semidirect
908. C4×#41C22×C67semidirect
909. C2×C4×Q8C22×C67semidirect
910. #501C22×C67semidirect
911. #501C22×C67semidirect
912. #500C22×C67semidirect
913. #498C22×C67semidirect
920. #489C22×C67semidirect
921. #489C22×C67semidirect
924. #487C22×C67semidirect
925. #487C22×C67semidirect
932. #485C22×C67semidirect
933. #485C22×C67semidirect
934. #484C22×C67semidirect
935. #483C22×C67semidirect
942. #479C22×C67semidirect
943. #479C22×C67semidirect
944. #479C22×C67semidirect
945. #479C22×C67semidirect
946. #479C22×C67semidirect
947. #479C22×C67semidirect
948. #479C22×C67semidirect
949. #479C22×C67semidirect
952. #478C22×C67semidirect
953. #478C22×C67semidirect
954. #477C22×C67semidirect
956. #475C22×C67semidirect
958. #470C22×C67semidirect
959. #470C22×C67semidirect
960. #470C22×C67semidirect
965. #468C22×C67semidirect
966. #467C22×C67semidirect
967. #467C22×C67semidirect
968. #467C22×C67semidirect
973. #465C22×C67semidirect
980. #464C22×C67semidirect
981. #464C22×C67semidirect
986. #462C22×C67semidirect
987. #462C22×C67semidirect
990. #452C22×C67semidirect
991. #452C22×C67semidirect
995. #451C22×C67semidirect
996. #451C22×C67semidirect
1007. #441C22×C67semidirect
1008. #441C22×C67semidirect
1009. #441C22×C67semidirect
1013. #440C22×C67semidirect
1014. C4×Q16C22×C67semidirect
1015. C4×Q16C22×C67semidirect
1016. C4×Q16C22×C67semidirect
1020. C4×SD16C22×C67semidirect
1024. #433C22×C67semidirect
1025. #433C22×C67semidirect
1027. #432C22×C67semidirect
1029. #431C22×C67semidirect
1030. #423C22×C67semidirect
1031. C2×C4⋊C8C22×C67semidirect
1034. #405C22×C67semidirect
1035. #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×#34612
C67×#32562
C67×#32522
C67×#32502
C67×#32482
C67×#32442
C67×#32432
C67×#32402
C67×#32312
C67×#32252
C67×#32152
C67×#32112
C67×#32022
C67×#32012
C67×#32002
C67×#31982
C67×#31782
C67×#31752
C67×#31732
C67×#31272
C67×#31232
C67×#31212
C67×#31182
C67×#31172
C67×#31112
C67×#31082
C67×#31022
C67×#29252
#6099667