Finite Group Databasebeta

← C67×#61750 #30741001

Subgroups — C67×#61750 #30741001

Order 17152.

1692 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3541C211yesmaximal, characteristic, complemented
2C67×#3493C211yesmaximal, characteristic, complemented
3C67×#3357C211yesmaximal, characteristic, complemented
4C67×#3351C211yesmaximal, characteristic, complemented
5C67×#3350C211yesmaximal, characteristic, complemented
6C67×#3349C211yesmaximal, characteristic, complemented
7C67×#3347C211yesmaximal, characteristic, complemented
8C67×#3344C211yesmaximal, characteristic, complemented
9C67×#3342C211yesmaximal, characteristic, complemented
10C67×#3337C211yesmaximal, characteristic, complemented
11C67×#3329C211yesmaximal, characteristic, complemented
12C67×#3327C211yesmaximal, characteristic, complemented
13C67×#3321C211yesmaximal, characteristic, complemented
14C67×#3313C211yesmaximal, characteristic, complemented
15C67×#3312C211yesmaximal, characteristic, complemented
16C67×#3307C211yesmaximal, characteristic, complemented
17C67×#3302C211yesmaximal, characteristic, complemented
18C67×#3301C211yesmaximal, characteristic, complemented
19C67×#3243C211yesmaximal, characteristic, complemented
20C67×#3242C211yesmaximal, characteristic, complemented
21C67×#3203C211yesmaximal, characteristic, complemented
22C67×#3201C211yesmaximal, characteristic, complemented
23C67×#3197C211yesmaximal, characteristic, complemented
24C67×#3190C211yesmaximal, characteristic, complemented
25C67×#3125C211yesmaximal, characteristic, complemented
26C67×#3120C211yesmaximal, characteristic, complemented
27C67×#3099C211yesmaximal, characteristic, complemented
28C67×#3097C211yesmaximal, characteristic, complemented
29C67×#3095C211yesmaximal, characteristic, complemented
30C67×#3091C211yesmaximal, characteristic, complemented
31C67×#2976C211yesmaximal, characteristic, complemented
32#563×C67—21no—
33#562×C67—21no—
34#556×C67—21no—
35#556×C67C2211yescharacteristic
36#556×C67C2211yescharacteristic
37#556×C67C2211yescharacteristic
38#555×C67—21no—
39#555×C67C2211yescharacteristic
40#555×C67C2211yescharacteristic
41#554×C67—21no—
42#554×C67C2211yescharacteristic
43#553×C67—21no—
44#553×C67—21no—
45#553×C67C2211yescharacteristic
46#553×C67C2211yescharacteristic
47#553×C67C2211yescharacteristic
48#552×C67—21no—
49#552×C67C2211yescharacteristic
50#552×C67C2211yescharacteristic
51#552×C67C2211yescharacteristic
52D4×Q8×C67C2211yescharacteristic
53#548×C67C2211yescharacteristic
54#548×C67C2211yescharacteristic
55#547×C67C2211yescharacteristic
56#544×C67C2211yescharacteristic
57#542×C67—21no—
58#542×C67C2211yescharacteristic
59#541×C67C2211yescharacteristic
60#539×C67—21no—
61#538×C67—21no—
62#538×C67—21no—
63#538×C67—21no—
64#538×C67—21no—
65#537×C67C2211yescharacteristic
66#537×C67C2211yescharacteristic
67#536×C67C2211yescharacteristic
68#529×C67—21no—
69#529×C67—21no—
70#525×C67C2211yescharacteristic
71#525×C67C2211yescharacteristic
72#525×C67C2211yescharacteristic
73C2×C22⋊Q8×C67C2211yescharacteristic
74#520×C67C2211yescharacteristic
75#520×C67C2211yescharacteristic
76C2×#117×C67C2211yescharacteristic
77#501×C67C2211yescharacteristic, complemented
78#501×C67C2211yescharacteristic, complemented
79#500×C67C2211yescharacteristic, complemented
80#499×C67C2211yescharacteristic, complemented
81#491×C67C2211yescharacteristic, complemented
82#489×C67C2211yescharacteristic, complemented
83#488×C67C2211yescharacteristic, complemented
84#487×C67C2211yescharacteristic, complemented
85#485×C67C2211yescharacteristic
86#485×C67C2211yescharacteristic
87#485×C67C2211yescharacteristic
88#485×C67C2211yescharacteristic
89#485×C67C2211yescharacteristic
90#485×C67C2211yescharacteristic
91#485×C67C2211yescharacteristic
92#485×C67C2211yescharacteristic
93#485×C67C2211yescharacteristic
94#485×C67C2211yescharacteristic
95#485×C67C2211yescharacteristic, complemented
96#485×C67C2211yescharacteristic, complemented
97#485×C67C2211yescharacteristic, complemented
98#485×C67C2211yescharacteristic, complemented
99#484×C67C2211yescharacteristic
100#484×C67C2211yescharacteristic
101#484×C67C2211yescharacteristic
102#484×C67C2211yescharacteristic, complemented
103#484×C67C2211yescharacteristic, complemented
104#483×C67C2211yescharacteristic
105#483×C67C2211yescharacteristic
106#483×C67C2211yescharacteristic
107#483×C67C2211yescharacteristic
108#483×C67C2211yescharacteristic, complemented
109#483×C67C2211yescharacteristic, complemented
110#482×C67C2211yescharacteristic
111#482×C67C2211yescharacteristic
112#482×C67C2211yescharacteristic
113#482×C67C2211yescharacteristic
114#482×C67C2211yescharacteristic, complemented
115#482×C67C2211yescharacteristic, complemented
116#481×C67C2211yescharacteristic
117#481×C67C2211yescharacteristic, complemented
118#480×C67C2211yescharacteristic
119#480×C67C2211yescharacteristic
120#480×C67C2211yescharacteristic, complemented
121#479×C67C2211yescharacteristic, complemented
122#479×C67C2211yescharacteristic, complemented
123#479×C67C2211yescharacteristic, complemented
124#479×C67C2211yescharacteristic, complemented
125#478×C67C2211yescharacteristic, complemented
126#478×C67C2211yescharacteristic, complemented
127#477×C67C2211yescharacteristic, complemented
128#477×C67C2211yescharacteristic, complemented
129#476×C67C2211yescharacteristic, complemented
130#475×C67C2211yescharacteristic, complemented
131#475×C67C2211yescharacteristic, complemented
132#474×C67C2211yescharacteristic, complemented
133#470×C67C2211yescharacteristic
134#470×C67C2211yescharacteristic, complemented
135#469×C67C2211yescharacteristic
136#468×C67C2211yescharacteristic
137#468×C67C2211yescharacteristic
138#468×C67C2211yescharacteristic, complemented
139#468×C67C2211yescharacteristic, complemented
140#468×C67C2211yescharacteristic, complemented
141#467×C67C2211yescharacteristic
142#467×C67C2211yescharacteristic
143#467×C67C2211yescharacteristic, complemented
144#467×C67C2211yescharacteristic, complemented
145#466×C67C2211yescharacteristic, complemented
146#465×C67C2211yescharacteristic
147#465×C67C2211yescharacteristic
148#465×C67C2211yescharacteristic, complemented
149#464×C67C2211yescharacteristic, complemented
150#463×C67C2211yescharacteristic, complemented
151#462×C67C2211yescharacteristic, complemented
152#461×C67C2211yescharacteristic, complemented
153#452×C67C2211yescharacteristic
154#452×C67C2211yescharacteristic
155#452×C67C2211yescharacteristic
156#452×C67C2211yescharacteristic
157#452×C67C2211yescharacteristic, complemented
158#451×C67C2211yescharacteristic
159#451×C67C2211yescharacteristic, complemented
160#449×C67C2211yescharacteristic
161#449×C67C2211yescharacteristic
162#449×C67C2211yescharacteristic, complemented
163#448×C67C2211yescharacteristic
164#448×C67C2211yescharacteristic, complemented
165#442×C67C2211yescharacteristic, complemented
166#441×C67C2211yescharacteristic, complemented
167#441×C67C2211yescharacteristic, complemented
168#440×C67C2211yescharacteristic, complemented
169C4×Q16×C67C2211yescharacteristic, complemented
170C4×SD16×C67C2211yescharacteristic, complemented
171C4×SD16×C67C2211yescharacteristic, complemented
172C4×SD16×C67C2211yescharacteristic, complemented
173#436×C67C2211yescharacteristic
174#436×C67C2211yescharacteristic
175#435×C67C2211yescharacteristic
176#435×C67C2211yescharacteristic
177#435×C67C2211yescharacteristic
178#435×C67C2211yescharacteristic
179C8×D4×C67C2211yescharacteristic
180C8×D4×C67C2211yescharacteristic
181#433×C67C2211yescharacteristic
182#433×C67C2211yescharacteristic
183#428×C67C2211yescharacteristic
184#428×C67C2211yescharacteristic
185#428×C67C2211yescharacteristic, complemented
186#428×C67C2211yescharacteristic, complemented
187#427×C67C2211yescharacteristic
188#427×C67C2211yescharacteristic
189#427×C67C2211yescharacteristic, complemented
190C2×#106×C67C2211yescharacteristic, complemented
191#419×C67C2211yescharacteristic
192#419×C67C2211yescharacteristic
193#419×C67C2211yescharacteristic, complemented
194#417×C67C2211yescharacteristic, complemented
195#416×C67C2211yescharacteristic
196#416×C67C2211yescharacteristic
197#416×C67C2211yescharacteristic, complemented
198C2×#103×C67C2211yescharacteristic, complemented
199#408×C67C2211yescharacteristic
200#408×C67C2211yescharacteristic
201#407×C67C2211yescharacteristic
202C2×C22⋊C8×C67C2211yescharacteristic
203C2×#41×C67C2311yescharacteristic
204C2×#41×C67C2311yescharacteristic
205C2×#41×C67C2311yescharacteristic
206C2×#41×C67C2311yescharacteristic
207C22×Q8×C67C2311yescharacteristic
208C22×Q8×C67C2311yescharacteristic
209C23×C4×C67C2311yescharacteristic
210C2×Q16×C67C2311yescharacteristic
211C2×Q16×C67C2311yescharacteristic
212C2×Q16×C67C2311yescharacteristic
213C2×SD16×C67C2311yescharacteristic
214C2×SD16×C67C2311yescharacteristic
215C2×SD16×C67C2311yescharacteristic
216C2×SD16×C67C2311yescharacteristic
217C2×D8×C67C2311yescharacteristic
218C2×M16×C67C2311yescharacteristic
219C2×M16×C67C2311yescharacteristic
220C2×M16×C67C2311yescharacteristic
221C2×M16×C67C2311yescharacteristic
222C22×C8×C67C2311yescharacteristic
223C22×C8×C67C2311yescharacteristic
224C22×C8×C67C2311yescharacteristic
225C22×C8×C67C2311yescharacteristic
226C4⋊Q8×C67—21no—
227C4⋊Q8×C67—21no—
228C4⋊Q8×C67—21no—
229C4⋊Q8×C67C2311yescharacteristic
230C4⋊Q8×C67C2311yescharacteristic
231C4⋊Q8×C67C2311yescharacteristic
232C4⋊Q8×C67C2311yescharacteristic
233#126×C67—21no—
234#126×C67—21no—
235#126×C67—21no—
236#126×C67—21no—
237#126×C67—21no—
238#126×C67—21no—
239#126×C67—21no—
240#126×C67—21no—
241#126×C67—21no—
242#126×C67—21no—
243#126×C67—21no—
244#126×C67—21no—
245#126×C67—21no—
246#126×C67—21no—
247#126×C67—21no—
248#125×C67—21no—
249#125×C67—21no—
250#125×C67—21no—
251#125×C67—21no—
252#125×C67—21no—
253#125×C67—21no—
254#125×C67—21no—
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×C67C2311yescharacteristic
270#123×C67—21no—
271#123×C67—21no—
272#123×C67—21no—
273#123×C67—21no—
274#123×C67—21no—
275#123×C67—21no—
276#123×C67—21no—
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×C67D411yescharacteristic
284#123×C67D411yescharacteristic
285C22⋊Q8×C67—21no—
286C22⋊Q8×C67—21no—
287C22⋊Q8×C67—21no—
288C22⋊Q8×C67—21no—
289C22⋊Q8×C67—21no—
290C22⋊Q8×C67—21no—
291C22⋊Q8×C67—21no—
292C22⋊Q8×C67—21no—
293C22⋊Q8×C67—21no—
294C22⋊Q8×C67—21no—
295C22⋊Q8×C67—21no—
296C22⋊Q8×C67—21no—
297C22⋊Q8×C67—21no—
298C22⋊Q8×C67D411yescharacteristic
299C22⋊Q8×C67D411yescharacteristic
300C22⋊Q8×C67C2311yescharacteristic
301C22⋊Q8×C67C2311yescharacteristic
302C22⋊Q8×C67C2311yescharacteristic
303C22⋊Q8×C67C2311yescharacteristic
304C22⋊Q8×C67C2311yescharacteristic
305C22⋊Q8×C67C2311yescharacteristic
306C22⋊Q8×C67C2311yescharacteristic
307C22⋊Q8×C67C2311yescharacteristic
308C22⋊Q8×C67C2311yescharacteristic
309C22⋊Q8×C67C2311yescharacteristic
310C22⋊Q8×C67C2311yescharacteristic
311C22⋊Q8×C67C2311yescharacteristic
312C22⋊Q8×C67C2311yescharacteristic
313#121×C67—21no—
314#121×C67—21no—
315#121×C67—21no—
316#121×C67—21no—
317#121×C67—21no—
318#121×C67—21no—
319#121×C67—21no—
320#121×C67—21no—
321#121×C67—21no—
322#121×C67—21no—
323#121×C67—21no—
324#121×C67—21no—
325#121×C67—21no—
326#121×C67—21no—
327#121×C67D411yescharacteristic
328#121×C67D411yescharacteristic
329#121×C67C2311yescharacteristic
330#121×C67C2311yescharacteristic
331#121×C67C2311yescharacteristic
332#121×C67C2311yescharacteristic
333#121×C67C2311yescharacteristic
334#121×C67C2311yescharacteristic
335#121×C67C2311yescharacteristic
336#120×C67—21no—
337#120×C67—21no—
338#120×C67D411yescharacteristic
339#120×C67D411yescharacteristic
340C4×Q8×C67—21no—
341C4×Q8×C67—21no—
342C4×Q8×C67—21no—
343C4×Q8×C67—21no—
344C4×Q8×C67C2311yescharacteristic
345C4×Q8×C67C2311yescharacteristic
346C4×Q8×C67C2311yescharacteristic
347C4×Q8×C67C2311yescharacteristic
348C4×Q8×C67C2311yescharacteristic
349C4×D4×C67—21no—
350C4×D4×C67—21no—
351C4×D4×C67—21no—
352C4×D4×C67—21no—
353C4×D4×C67—21no—
354C4×D4×C67—21no—
355C4×D4×C67—21no—
356C4×D4×C67—21no—
357C4×D4×C67—21no—
358C4×D4×C67—21no—
359C4×D4×C67—21no—
360C4×D4×C67—21no—
361C4×D4×C67—21no—
362C4×D4×C67—21no—
363C4×D4×C67—21no—
364C4×D4×C67—21no—
365C4×D4×C67C2311yescharacteristic
366C4×D4×C67C2311yescharacteristic
367C4×D4×C67C2311yescharacteristic
368C4×D4×C67C2311yescharacteristic
369C4×D4×C67C2311yescharacteristic
370C4×D4×C67C2311yescharacteristic
371C4×D4×C67C2311yescharacteristic
372#117×C67—21no—
373#117×C67—21no—
374#117×C67—21no—
375#117×C67—21no—
376#117×C67—21no—
377#117×C67—21no—
378#117×C67—21no—
379#117×C67—21no—
380#117×C67C2311yescharacteristic
381#117×C67C2311yescharacteristic
382#117×C67C2311yescharacteristic
383#117×C67C2311yescharacteristic
384#117×C67C2311yescharacteristic
385#117×C67C2311yescharacteristic
386#117×C67C2311yescharacteristic
387#117×C67C2311yescharacteristic
388#117×C67C2311yescharacteristic
389#117×C67C2311yescharacteristic
390C2×C4⋊C4×C67—21no—
391C2×C4⋊C4×C67—21no—
392C2×C4⋊C4×C67—21no—
393C2×C4⋊C4×C67C2311yescharacteristic
394C2×C4⋊C4×C67C2311yescharacteristic
395C2×C4⋊C4×C67C2311yescharacteristic
396C2×C4⋊C4×C67C2311yescharacteristic
397C2×C4⋊C4×C67C2311yescharacteristic
398C2×C4⋊C4×C67C2311yescharacteristic
399C2×C22⋊C4×C67—21no—
400C2×C22⋊C4×C67—21no—
401C2×C42×C67—21no—
402#107×C67C2311yescharacteristic
403#107×C67C2311yescharacteristic
404#107×C67C2311yescharacteristic
405#107×C67C2311yescharacteristic
406#107×C67C2311yescharacteristic
407#107×C67C2311yescharacteristic
408#107×C67C2311yescharacteristic
409#107×C67C2311yescharacteristic
410#107×C67C2311yescharacteristic
411#107×C67C2311yescharacteristic
412#107×C67C2311yescharacteristic
413#107×C67C2311yescharacteristic
414#106×C67C2311yescharacteristic
415#106×C67C2311yescharacteristic
416#106×C67C2311yescharacteristic
417#106×C67C2311yescharacteristic
418#106×C67C2311yescharacteristic
419#106×C67C2311yescharacteristic
420#106×C67C2311yescharacteristic
421#106×C67C2311yescharacteristic
422#106×C67C2311yescharacteristic
423#106×C67C2311yescharacteristic
424#106×C67C2311yescharacteristic
425#106×C67C2311yescharacteristic
426C4⋊C8×C67C2311yescharacteristic
427C4⋊C8×C67C2311yescharacteristic
428C4⋊C8×C67C2311yescharacteristic
429C4⋊C8×C67C2311yescharacteristic
430#103×C67C2311yescharacteristic
431#103×C67C2311yescharacteristic
432#103×C67C2311yescharacteristic
433#103×C67C2311yescharacteristic
434#103×C67C2311yescharacteristic
435#103×C67C2311yescharacteristic
436#103×C67C2311yescharacteristic
437#103×C67C2311yescharacteristic
438#103×C67C2311yescharacteristic
439#103×C67C2311yescharacteristic
440#103×C67C2311yescharacteristic
441#103×C67C2311yescharacteristic
442#103×C67C2311yescharacteristic
443#103×C67C2311yescharacteristic
444#103×C67C2311yescharacteristic
445#103×C67C2311yescharacteristic
446#103×C67C2311yescharacteristic
447#103×C67C2311yescharacteristic
448#103×C67C2311yescharacteristic
449#103×C67C2311yescharacteristic
450#103×C67C2311yescharacteristic
451#103×C67C2311yescharacteristic
452#102×C67C2311yescharacteristic
453#102×C67C2311yescharacteristic
454#102×C67C2311yescharacteristic
455#102×C67C2311yescharacteristic
456#102×C67C2311yescharacteristic
457#102×C67C2311yescharacteristic
458#102×C67C2311yescharacteristic
459#102×C67C2311yescharacteristic
460#102×C67C2311yescharacteristic
461#102×C67C2311yescharacteristic
462C22⋊C8×C67C2311yescharacteristic
463C22⋊C8×C67C2311yescharacteristic
464C22⋊C8×C67C2311yescharacteristic
465C22⋊C8×C67C2311yescharacteristic
466C22⋊C8×C67C2311yescharacteristic
467C22⋊C8×C67C2311yescharacteristic
468C22⋊C8×C67C2311yescharacteristic
469C22⋊C8×C67C2311yescharacteristic
470C22⋊C8×C67C2311yescharacteristic
471C22⋊C8×C67C2311yescharacteristic
472C22⋊C8×C67C2311yescharacteristic
473C22⋊C8×C67C2311yescharacteristic
474#97×C67C2311yescharacteristic
475#97×C67C2311yescharacteristic
476C4×C8×C67C2311yescharacteristic
477C4×C8×C67C2311yescharacteristic
478C24×C67C2×D411yescharacteristic
479#41×C67—41no—
480#41×C67—41no—
481#41×C67—41no—
482#41×C67—41no—
483#41×C67—41no—
484#41×C67—41no—
485#41×C67—41no—
486#41×C67—41no—
487C2×Q8×C67—21no—
488C2×Q8×C67—21no—
489C2×Q8×C67—21no—
490C2×Q8×C67—21no—
491C2×Q8×C67—21no—
492C2×Q8×C67—41no—
493C2×Q8×C67—41no—
494C2×Q8×C67—41no—
495C2×Q8×C67—41no—
496C2×Q8×C67C2×D411yescharacteristic
497C2×Q8×C67C2411yescharacteristic
498C2×Q8×C67C2411yescharacteristic
499C2×Q8×C67C2411yescharacteristic
500C2×Q8×C67C2411yescharacteristic
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×C67C2×D411yescharacteristic
512C2×D4×C67C2×D411yescharacteristic
513C2×D4×C67C2×D411yescharacteristic
514C2×D4×C67C2×D411yescharacteristic
515C2×D4×C67C2×D411yescharacteristic
516C2×D4×C67C2×D411yescharacteristic
517C2×D4×C67C2×D411yescharacteristic
518C2×D4×C67C2411yescharacteristic
519C2×D4×C67C2411yescharacteristic
520C22×C4×C67—21no—
521C22×C4×C67—21no—
522C22×C4×C67—21no—
523C22×C4×C67—21no—
524C22×C4×C67—21no—
525C22×C4×C67—21no—
526C22×C4×C67—21no—
527C22×C4×C67—21no—
528C22×C4×C67—21no—
529C22×C4×C67—21no—
530C22×C4×C67—21no—
531C22×C4×C67—21no—
532C22×C4×C67—21no—
533C22×C4×C67—21no—
534C22×C4×C67—41no—
535C22×C4×C67—41no—
536C22×C4×C67C2×D411yescharacteristic
537C22×C4×C67C2×D411yescharacteristic
538C22×C4×C67C2×D411yescharacteristic
539C22×C4×C67C2411yescharacteristic
540C22×C4×C67C2411yescharacteristic
541C22×C4×C67C2411yescharacteristic
542C22×C4×C67C2411yescharacteristic
543C22×C4×C67C2411yescharacteristic
544Q16×C67—41no—
545Q16×C67—41no—
546Q16×C67—41no—
547SD16×C67—41no—
548SD16×C67—41no—
549SD16×C67—41no—
550SD16×C67—41no—
551D8×C67—41no—
552M16×C67—41no—
553M16×C67—41no—
554M16×C67—41no—
555M16×C67—41no—
556C2×C8×C67—41no—
557C2×C8×C67—41no—
558C2×C8×C67—41no—
559C2×C8×C67—41no—
560C2×C8×C67C2411yescharacteristic
561C2×C8×C67C2411yescharacteristic
562C2×C8×C67C2411yescharacteristic
563C2×C8×C67C2411yescharacteristic
564C2×C8×C67C2411yescharacteristic
565C2×C8×C67C2411yescharacteristic
566C2×C8×C67C2411yescharacteristic
567C2×C8×C67C2411yescharacteristic
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×C67—21no—
600C4⋊C4×C67—21no—
601C4⋊C4×C67—21no—
602C4⋊C4×C67—21no—
603C4⋊C4×C67C2×D411yescharacteristic
604C4⋊C4×C67C2×D411yescharacteristic
605C4⋊C4×C67C2×D411yescharacteristic
606C4⋊C4×C67C2×D411yescharacteristic
607C4⋊C4×C67C2×D411yescharacteristic
608C4⋊C4×C67C2×D411yescharacteristic
609C4⋊C4×C67C2411yescharacteristic
610C4⋊C4×C67C2411yescharacteristic
611C4⋊C4×C67C2411yescharacteristic
612C4⋊C4×C67C2411yescharacteristic
613C4⋊C4×C67C2411yescharacteristic
614C4⋊C4×C67C2411yescharacteristic
615C4⋊C4×C67C2411yescharacteristic
616C4⋊C4×C67C2411yescharacteristic
617C4⋊C4×C67C2411yescharacteristic
618C4⋊C4×C67C2411yescharacteristic
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×C67C2×D411yescharacteristic
654C22⋊C4×C67C2×D411yescharacteristic
655C22⋊C4×C67C2×D411yescharacteristic
656C22⋊C4×C67C2×D411yescharacteristic
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×C67—21no—
673C42×C67—21no—
674C42×C67—21no—
675C42×C67—21no—
676C42×C67—21no—
677C42×C67C2411yescharacteristic
678C42×C67C2411yescharacteristic
679C23×C67—21no—
680C23×C67—21no—
681C23×C67—41no—
682C23×C67—41no—
683C23×C67—41no—
684C23×C67C22×D411yescharacteristic
685C23×C67C22×D411yescharacteristic
686C23×C67C22×D411yescharacteristic
687C23×C67C22×D411yescharacteristic
688C23×C67C22×D411yescharacteristic
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—41no—
698Q8×C67—81no—
699Q8×C67—81no—
700Q8×C67—81no—
701Q8×C67—81no—
702Q8×C67—81no—
703D4×C67—21no—
704D4×C67—21no—
705D4×C67—21no—
706D4×C67—21no—
707D4×C67—41no—
708D4×C67—41no—
709D4×C67—41no—
710D4×C67—41no—
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—
722D4×C67—81no—
723D4×C67—81no—
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—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—41no—
749C2×C4×C67—41no—
750C2×C4×C67—41no—
751C2×C4×C67—42no—
752C2×C4×C67—81no—
753C2×C4×C67—81no—
754C2×C4×C67—81no—
755C2×C4×C67—81no—
756C2×C4×C67—81no—
757C2×C4×C67—81no—
758C2×C4×C67—81no—
759C2×C4×C67—81no—
760C2×C4×C67—81no—
761C2×C4×C67—81no—
762C2×C4×C67—81no—
763C2×C4×C67—81no—
764C2×C4×C67—81no—
765C2×C4×C67C22×D411yescharacteristic
766C2×C4×C67C22×D411yescharacteristic
767C2×C4×C67C22×D411yescharacteristic
768C2×C4×C67C22×D411yescharacteristic
769C2×C4×C67C22×D411yescharacteristic
770C2×C4×C67C22×D411yescharacteristic
771C2×C4×C67C22×D411yescharacteristic
772C2×C4×C67C22×D411yescharacteristic
773C2×C4×C67C22×D411yescharacteristic
774C2×C4×C67C2511yescharacteristic
775C8×C67—21no—
776C8×C67—21no—
777C8×C67—21no—
778C8×C67—21no—
779C8×C67—21no—
780C8×C67—21no—
781C8×C67—21no—
782C8×C67—21no—
783C22×C67—21no—
784C22×C67—21no—
785C22×C67—21no—
786C22×C67—21no—
787C22×C67—21no—
788C22×C67—21no—
789C22×C67—21no—
790C22×C67—21no—
791C22×C67—21no—
792C22×C67—21no—
793C22×C67—21no—
794C22×C67—21no—
795C22×C67—21no—
796C22×C67—21no—
797C22×C67—21no—
798C22×C67—41no—
799C22×C67—41no—
800C22×C67—41no—
801C22×C67—41no—
802C22×C67—41no—
803C22×C67—41no—
804C22×C67—82no—
805C22×C67C23×D411yescharacteristic
806C4×C67—21no—
807C4×C67—21no—
808C4×C67—21no—
809C4×C67—21no—
810C4×C67—21no—
811C4×C67—21no—
812C4×C67—21no—
813C4×C67—21no—
814C4×C67—21no—
815C4×C67—41no—
816C4×C67—41no—
817C4×C67—41no—
818C4×C67—41no—
819C4×C67—41no—
820C4×C67—41no—
821C4×C67—41no—
822C4×C67—41no—
823C4×C67—41no—
824C4×C67—41no—
825C4×C67—41no—
826C4×C67—41no—
827C4×C67—41no—
828C4×C67—41no—
829C4×C67#58511yescharacteristic
830C4×C67#58511yescharacteristic
831#61750C6711yesmaximal, characteristic, direct product factor, Sylow
832C2×C67—41no—
833C2×C67—41no—
834C2×C67—41no—
835C2×C67—41no—
836C2×C67—41no—
837C2×C67—81no—
838C2×C67—81no—
839C2×C67#348511yescharacteristic
840C2×C67#358411yescharacteristic
841C2×C67#358611yescharacteristic
842#3541C2×C6711yescharacteristic, complemented
843#3493C2×C6711yescharacteristic, complemented
844#3357C2×C6711yescharacteristic, complemented
845#3351C2×C6711yescharacteristic, complemented
846#3350C2×C6711yescharacteristic, complemented
847#3349C2×C6711yescharacteristic, complemented
848#3347C2×C6711yescharacteristic, complemented
849#3344C2×C6711yescharacteristic, complemented
850#3342C2×C6711yescharacteristic, complemented
851#3337C2×C6711yescharacteristic, complemented
852#3329C2×C6711yescharacteristic, complemented
853#3327C2×C6711yescharacteristic, complemented
854#3321C2×C6711yescharacteristic, complemented
855#3313C2×C6711yescharacteristic, complemented
856#3312C2×C6711yescharacteristic, complemented
857#3307C2×C6711yescharacteristic, complemented
858#3302C2×C6711yescharacteristic, complemented
859#3301C2×C6711yescharacteristic, complemented
860#3243C2×C6711yescharacteristic, complemented
861#3242C2×C6711yescharacteristic, complemented
862#3203C2×C6711yescharacteristic, complemented
863#3201C2×C6711yescharacteristic, complemented
864#3197C2×C6711yescharacteristic, complemented
865#3190C2×C6711yescharacteristic, complemented
866#3125C2×C6711yescharacteristic, complemented
867#3120C2×C6711yescharacteristic, complemented
868#3099C2×C6711yescharacteristic, complemented
869#3097C2×C6711yescharacteristic, complemented
870#3095C2×C6711yescharacteristic, complemented
871#3091C2×C6711yescharacteristic, complemented
872#2976C2×C6711yescharacteristic, complemented
873C67#6175011yescharacteristic, direct product factor, Sylow
874#563—21no—
875#562—21no—
876#556—21no—
877#556C22×C6711yescharacteristic
878#556C22×C6711yescharacteristic
879#556C22×C6711yescharacteristic
880#555—21no—
881#555C22×C6711yescharacteristic
882#555C22×C6711yescharacteristic
883#554—21no—
884#554C22×C6711yescharacteristic
885#553—21no—
886#553—21no—
887#553C22×C6711yescharacteristic
888#553C22×C6711yescharacteristic
889#553C22×C6711yescharacteristic
890#552—21no—
891#552C22×C6711yescharacteristic
892#552C22×C6711yescharacteristic
893#552C22×C6711yescharacteristic
894D4×Q8C22×C6711yescharacteristic
895#548C22×C6711yescharacteristic
896#548C22×C6711yescharacteristic
897#547C22×C6711yescharacteristic
898#544C22×C6711yescharacteristic
899#542—21no—
900#542C22×C6711yescharacteristic
901#541C22×C6711yescharacteristic
902#539—21no—
903#538—21no—
904#538—21no—
905#538—21no—
906#538—21no—
907#537C22×C6711yescharacteristic
908#537C22×C6711yescharacteristic
909#536C22×C6711yescharacteristic
910#529—21no—
911#529—21no—
912#525C22×C6711yescharacteristic
913#525C22×C6711yescharacteristic
914#525C22×C6711yescharacteristic
915C2×C22⋊Q8C22×C6711yescharacteristic
916#520C22×C6711yescharacteristic
917#520C22×C6711yescharacteristic
918C2×#117C22×C6711yescharacteristic
919#501C22×C6711yescharacteristic, complemented
920#501C22×C6711yescharacteristic, complemented
921#500C22×C6711yescharacteristic, complemented
922#499C22×C6711yescharacteristic, complemented
923#491C22×C6711yescharacteristic, complemented
924#489C22×C6711yescharacteristic, complemented
925#488C22×C6711yescharacteristic, complemented
926#487C22×C6711yescharacteristic, complemented
927#485C22×C6711yescharacteristic
928#485C22×C6711yescharacteristic
929#485C22×C6711yescharacteristic
930#485C22×C6711yescharacteristic
931#485C22×C6711yescharacteristic
932#485C22×C6711yescharacteristic
933#485C22×C6711yescharacteristic
934#485C22×C6711yescharacteristic
935#485C22×C6711yescharacteristic
936#485C22×C6711yescharacteristic
937#485C22×C6711yescharacteristic, complemented
938#485C22×C6711yescharacteristic, complemented
939#485C22×C6711yescharacteristic, complemented
940#485C22×C6711yescharacteristic, complemented
941#484C22×C6711yescharacteristic
942#484C22×C6711yescharacteristic
943#484C22×C6711yescharacteristic
944#484C22×C6711yescharacteristic, complemented
945#484C22×C6711yescharacteristic, complemented
946#483C22×C6711yescharacteristic
947#483C22×C6711yescharacteristic
948#483C22×C6711yescharacteristic
949#483C22×C6711yescharacteristic
950#483C22×C6711yescharacteristic, complemented
951#483C22×C6711yescharacteristic, complemented
952#482C22×C6711yescharacteristic
953#482C22×C6711yescharacteristic
954#482C22×C6711yescharacteristic
955#482C22×C6711yescharacteristic
956#482C22×C6711yescharacteristic, complemented
957#482C22×C6711yescharacteristic, complemented
958#481C22×C6711yescharacteristic
959#481C22×C6711yescharacteristic, complemented
960#480C22×C6711yescharacteristic
961#480C22×C6711yescharacteristic
962#480C22×C6711yescharacteristic, complemented
963#479C22×C6711yescharacteristic, complemented
964#479C22×C6711yescharacteristic, complemented
965#479C22×C6711yescharacteristic, complemented
966#479C22×C6711yescharacteristic, complemented
967#478C22×C6711yescharacteristic, complemented
968#478C22×C6711yescharacteristic, complemented
969#477C22×C6711yescharacteristic, complemented
970#477C22×C6711yescharacteristic, complemented
971#476C22×C6711yescharacteristic, complemented
972#475C22×C6711yescharacteristic, complemented
973#475C22×C6711yescharacteristic, complemented
974#474C22×C6711yescharacteristic, complemented
975#470C22×C6711yescharacteristic
976#470C22×C6711yescharacteristic, complemented
977#469C22×C6711yescharacteristic
978#468C22×C6711yescharacteristic
979#468C22×C6711yescharacteristic
980#468C22×C6711yescharacteristic, complemented
981#468C22×C6711yescharacteristic, complemented
982#468C22×C6711yescharacteristic, complemented
983#467C22×C6711yescharacteristic
984#467C22×C6711yescharacteristic
985#467C22×C6711yescharacteristic, complemented
986#467C22×C6711yescharacteristic, complemented
987#466C22×C6711yescharacteristic, complemented
988#465C22×C6711yescharacteristic
989#465C22×C6711yescharacteristic
990#465C22×C6711yescharacteristic, complemented
991#464C22×C6711yescharacteristic, complemented
992#463C22×C6711yescharacteristic, complemented
993#462C22×C6711yescharacteristic, complemented
994#461C22×C6711yescharacteristic, complemented
995#452C22×C6711yescharacteristic
996#452C22×C6711yescharacteristic
997#452C22×C6711yescharacteristic
998#452C22×C6711yescharacteristic
999#452C22×C6711yescharacteristic, complemented
1000#451C22×C6711yescharacteristic
1001#451C22×C6711yescharacteristic, complemented
1002#449C22×C6711yescharacteristic
1003#449C22×C6711yescharacteristic
1004#449C22×C6711yescharacteristic, complemented
1005#448C22×C6711yescharacteristic
1006#448C22×C6711yescharacteristic, complemented
1007#442C22×C6711yescharacteristic, complemented
1008#441C22×C6711yescharacteristic, complemented
1009#441C22×C6711yescharacteristic, complemented
1010#440C22×C6711yescharacteristic, complemented
1011C4×Q16C22×C6711yescharacteristic, complemented
1012C4×SD16C22×C6711yescharacteristic, complemented
1013C4×SD16C22×C6711yescharacteristic, complemented
1014C4×SD16C22×C6711yescharacteristic, complemented
1015#436C22×C6711yescharacteristic
1016#436C22×C6711yescharacteristic
1017#435C22×C6711yescharacteristic
1018#435C22×C6711yescharacteristic
1019#435C22×C6711yescharacteristic
1020#435C22×C6711yescharacteristic
1021C8×D4C22×C6711yescharacteristic
1022C8×D4C22×C6711yescharacteristic
1023#433C22×C6711yescharacteristic
1024#433C22×C6711yescharacteristic
1025#428C22×C6711yescharacteristic
1026#428C22×C6711yescharacteristic
1027#428C22×C6711yescharacteristic, complemented
1028#428C22×C6711yescharacteristic, complemented
1029#427C22×C6711yescharacteristic
1030#427C22×C6711yescharacteristic
1031#427C22×C6711yescharacteristic, complemented
1032C2×#106C22×C6711yescharacteristic, complemented
1033#419C22×C6711yescharacteristic
1034#419C22×C6711yescharacteristic
1035#419C22×C6711yescharacteristic, complemented
1036#417C22×C6711yescharacteristic, complemented
1037#416C22×C6711yescharacteristic
1038#416C22×C6711yescharacteristic
1039#416C22×C6711yescharacteristic, complemented
1040C2×#103C22×C6711yescharacteristic, complemented
1041#408C22×C6711yescharacteristic
1042#408C22×C6711yescharacteristic
1043#407C22×C6711yescharacteristic
1044C2×C22⋊C8C22×C6711yescharacteristic
1045C2×#41C23×C6711yescharacteristic
1046C2×#41C23×C6711yescharacteristic
1047C2×#41C23×C6711yescharacteristic
1048C2×#41C23×C6711yescharacteristic
1049C22×Q8C23×C6711yescharacteristic
1050C22×Q8C23×C6711yescharacteristic
1051C23×C4C23×C6711yescharacteristic
1052C2×Q16C23×C6711yescharacteristic
1053C2×Q16C23×C6711yescharacteristic
1054C2×Q16C23×C6711yescharacteristic
1055C2×SD16C23×C6711yescharacteristic
1056C2×SD16C23×C6711yescharacteristic
1057C2×SD16C23×C6711yescharacteristic
1058C2×SD16C23×C6711yescharacteristic
1059C2×D8C23×C6711yescharacteristic
1060C2×M16C23×C6711yescharacteristic
1061C2×M16C23×C6711yescharacteristic
1062C2×M16C23×C6711yescharacteristic
1063C2×M16C23×C6711yescharacteristic
1064C22×C8C23×C6711yescharacteristic
1065C22×C8C23×C6711yescharacteristic
1066C22×C8C23×C6711yescharacteristic
1067C22×C8C23×C6711yescharacteristic
1068C4⋊Q8—21no—
1069C4⋊Q8—21no—
1070C4⋊Q8—21no—
1071C4⋊Q8C23×C6711yescharacteristic
1072C4⋊Q8C23×C6711yescharacteristic
1073C4⋊Q8C23×C6711yescharacteristic
1074C4⋊Q8C23×C6711yescharacteristic
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#126—21no—
1088#126—21no—
1089#126—21no—
1090#125—21no—
1091#125—21no—
1092#125—21no—
1093#125—21no—
1094#125—21no—
1095#125—21no—
1096#125—21no—
1097#125C23×C6711yescharacteristic
1098#125C23×C6711yescharacteristic
1099#125C23×C6711yescharacteristic
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#124—21no—
1110#124—21no—
1111#124C23×C6711yescharacteristic
1112#123—21no—
1113#123—21no—
1114#123—21no—
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#123D4×C6711yescharacteristic
1126#123D4×C6711yescharacteristic
1127C22⋊Q8—21no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8D4×C6711yescharacteristic
1141C22⋊Q8D4×C6711yescharacteristic
1142C22⋊Q8C23×C6711yescharacteristic
1143C22⋊Q8C23×C6711yescharacteristic
1144C22⋊Q8C23×C6711yescharacteristic
1145C22⋊Q8C23×C6711yescharacteristic
1146C22⋊Q8C23×C6711yescharacteristic
1147C22⋊Q8C23×C6711yescharacteristic
1148C22⋊Q8C23×C6711yescharacteristic
1149C22⋊Q8C23×C6711yescharacteristic
1150C22⋊Q8C23×C6711yescharacteristic
1151C22⋊Q8C23×C6711yescharacteristic
1152C22⋊Q8C23×C6711yescharacteristic
1153C22⋊Q8C23×C6711yescharacteristic
1154C22⋊Q8C23×C6711yescharacteristic
1155#121—21no—
1156#121—21no—
1157#121—21no—
1158#121—21no—
1159#121—21no—
1160#121—21no—
1161#121—21no—
1162#121—21no—
1163#121—21no—
1164#121—21no—
1165#121—21no—
1166#121—21no—
1167#121—21no—
1168#121—21no—
1169#121D4×C6711yescharacteristic
1170#121D4×C6711yescharacteristic
1171#121C23×C6711yescharacteristic
1172#121C23×C6711yescharacteristic
1173#121C23×C6711yescharacteristic
1174#121C23×C6711yescharacteristic
1175#121C23×C6711yescharacteristic
1176#121C23×C6711yescharacteristic
1177#121C23×C6711yescharacteristic
1178#120—21no—
1179#120—21no—
1180#120D4×C6711yescharacteristic
1181#120D4×C6711yescharacteristic
1182C4×Q8—21no—
1183C4×Q8—21no—
1184C4×Q8—21no—
1185C4×Q8—21no—
1186C4×Q8C23×C6711yescharacteristic
1187C4×Q8C23×C6711yescharacteristic
1188C4×Q8C23×C6711yescharacteristic
1189C4×Q8C23×C6711yescharacteristic
1190C4×Q8C23×C6711yescharacteristic
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—21no—
1203C4×D4—21no—
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4C23×C6711yescharacteristic
1208C4×D4C23×C6711yescharacteristic
1209C4×D4C23×C6711yescharacteristic
1210C4×D4C23×C6711yescharacteristic
1211C4×D4C23×C6711yescharacteristic
1212C4×D4C23×C6711yescharacteristic
1213C4×D4C23×C6711yescharacteristic
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
1228#117C23×C6711yescharacteristic
1229#117C23×C6711yescharacteristic
1230#117C23×C6711yescharacteristic
1231#117C23×C6711yescharacteristic
1232C2×C4⋊C4—21no—
1233C2×C4⋊C4—21no—
1234C2×C4⋊C4—21no—
1235C2×C4⋊C4C23×C6711yescharacteristic
1236C2×C4⋊C4C23×C6711yescharacteristic
1237C2×C4⋊C4C23×C6711yescharacteristic
1238C2×C4⋊C4C23×C6711yescharacteristic
1239C2×C4⋊C4C23×C6711yescharacteristic
1240C2×C4⋊C4C23×C6711yescharacteristic
1241C2×C22⋊C4—21no—
1242C2×C22⋊C4—21no—
1243C2×C42—21no—
1244#107C23×C6711yescharacteristic
1245#107C23×C6711yescharacteristic
1246#107C23×C6711yescharacteristic
1247#107C23×C6711yescharacteristic
1248#107C23×C6711yescharacteristic
1249#107C23×C6711yescharacteristic
1250#107C23×C6711yescharacteristic
1251#107C23×C6711yescharacteristic
1252#107C23×C6711yescharacteristic
1253#107C23×C6711yescharacteristic
1254#107C23×C6711yescharacteristic
1255#107C23×C6711yescharacteristic
1256#106C23×C6711yescharacteristic
1257#106C23×C6711yescharacteristic
1258#106C23×C6711yescharacteristic
1259#106C23×C6711yescharacteristic
1260#106C23×C6711yescharacteristic
1261#106C23×C6711yescharacteristic
1262#106C23×C6711yescharacteristic
1263#106C23×C6711yescharacteristic
1264#106C23×C6711yescharacteristic
1265#106C23×C6711yescharacteristic
1266#106C23×C6711yescharacteristic
1267#106C23×C6711yescharacteristic
1268C4⋊C8C23×C6711yescharacteristic
1269C4⋊C8C23×C6711yescharacteristic
1270C4⋊C8C23×C6711yescharacteristic
1271C4⋊C8C23×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#103C23×C6711yescharacteristic
1284#103C23×C6711yescharacteristic
1285#103C23×C6711yescharacteristic
1286#103C23×C6711yescharacteristic
1287#103C23×C6711yescharacteristic
1288#103C23×C6711yescharacteristic
1289#103C23×C6711yescharacteristic
1290#103C23×C6711yescharacteristic
1291#103C23×C6711yescharacteristic
1292#103C23×C6711yescharacteristic
1293#103C23×C6711yescharacteristic
1294#102C23×C6711yescharacteristic
1295#102C23×C6711yescharacteristic
1296#102C23×C6711yescharacteristic
1297#102C23×C6711yescharacteristic
1298#102C23×C6711yescharacteristic
1299#102C23×C6711yescharacteristic
1300#102C23×C6711yescharacteristic
1301#102C23×C6711yescharacteristic
1302#102C23×C6711yescharacteristic
1303#102C23×C6711yescharacteristic
1304C22⋊C8C23×C6711yescharacteristic
1305C22⋊C8C23×C6711yescharacteristic
1306C22⋊C8C23×C6711yescharacteristic
1307C22⋊C8C23×C6711yescharacteristic
1308C22⋊C8C23×C6711yescharacteristic
1309C22⋊C8C23×C6711yescharacteristic
1310C22⋊C8C23×C6711yescharacteristic
1311C22⋊C8C23×C6711yescharacteristic
1312C22⋊C8C23×C6711yescharacteristic
1313C22⋊C8C23×C6711yescharacteristic
1314C22⋊C8C23×C6711yescharacteristic
1315C22⋊C8C23×C6711yescharacteristic
1316#97C23×C6711yescharacteristic
1317#97C23×C6711yescharacteristic
1318C4×C8C23×C6711yescharacteristic
1319C4×C8C23×C6711yescharacteristic
1320C24C2×D4×C6711yescharacteristic
1321#41—41no—
1322#41—41no—
1323#41—41no—
1324#41—41no—
1325#41—41no—
1326#41—41no—
1327#41—41no—
1328#41—41no—
1329C2×Q8—21no—
1330C2×Q8—21no—
1331C2×Q8—21no—
1332C2×Q8—21no—
1333C2×Q8—21no—
1334C2×Q8—41no—
1335C2×Q8—41no—
1336C2×Q8—41no—
1337C2×Q8—41no—
1338C2×Q8C2×D4×C6711yescharacteristic
1339C2×Q8C24×C6711yescharacteristic
1340C2×Q8C24×C6711yescharacteristic
1341C2×Q8C24×C6711yescharacteristic
1342C2×Q8C24×C6711yescharacteristic
1343C2×D4—21no—
1344C2×D4—21no—
1345C2×D4—21no—
1346C2×D4—21no—
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4C2×D4×C6711yescharacteristic
1354C2×D4C2×D4×C6711yescharacteristic
1355C2×D4C2×D4×C6711yescharacteristic
1356C2×D4C2×D4×C6711yescharacteristic
1357C2×D4C2×D4×C6711yescharacteristic
1358C2×D4C2×D4×C6711yescharacteristic
1359C2×D4C2×D4×C6711yescharacteristic
1360C2×D4C24×C6711yescharacteristic
1361C2×D4C24×C6711yescharacteristic
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4C2×D4×C6711yescharacteristic
1379C22×C4C2×D4×C6711yescharacteristic
1380C22×C4C2×D4×C6711yescharacteristic
1381C22×C4C24×C6711yescharacteristic
1382C22×C4C24×C6711yescharacteristic
1383C22×C4C24×C6711yescharacteristic
1384C22×C4C24×C6711yescharacteristic
1385C22×C4C24×C6711yescharacteristic
1386Q16—41no—
1387Q16—41no—
1388Q16—41no—
1389SD16—41no—
1390SD16—41no—
1391SD16—41no—
1392SD16—41no—
1393D8—41no—
1394M16—41no—
1395M16—41no—
1396M16—41no—
1397M16—41no—
1398C2×C8—41no—
1399C2×C8—41no—
1400C2×C8—41no—
1401C2×C8—41no—
1402C2×C8C24×C6711yescharacteristic
1403C2×C8C24×C6711yescharacteristic
1404C2×C8C24×C6711yescharacteristic
1405C2×C8C24×C6711yescharacteristic
1406C2×C8C24×C6711yescharacteristic
1407C2×C8C24×C6711yescharacteristic
1408C2×C8C24×C6711yescharacteristic
1409C2×C8C24×C6711yescharacteristic
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⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4C2×D4×C6711yescharacteristic
1446C4⋊C4C2×D4×C6711yescharacteristic
1447C4⋊C4C2×D4×C6711yescharacteristic
1448C4⋊C4C2×D4×C6711yescharacteristic
1449C4⋊C4C2×D4×C6711yescharacteristic
1450C4⋊C4C2×D4×C6711yescharacteristic
1451C4⋊C4C24×C6711yescharacteristic
1452C4⋊C4C24×C6711yescharacteristic
1453C4⋊C4C24×C6711yescharacteristic
1454C4⋊C4C24×C6711yescharacteristic
1455C4⋊C4C24×C6711yescharacteristic
1456C4⋊C4C24×C6711yescharacteristic
1457C4⋊C4C24×C6711yescharacteristic
1458C4⋊C4C24×C6711yescharacteristic
1459C4⋊C4C24×C6711yescharacteristic
1460C4⋊C4C24×C6711yescharacteristic
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⋊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⋊C4C2×D4×C6711yescharacteristic
1496C22⋊C4C2×D4×C6711yescharacteristic
1497C22⋊C4C2×D4×C6711yescharacteristic
1498C22⋊C4C2×D4×C6711yescharacteristic
1499C22⋊C4C2×D4×C6711yescharacteristic
1500C22⋊C4C2×D4×C6711yescharacteristic
1501C22⋊C4C2×D4×C6711yescharacteristic
1502C22⋊C4C2×D4×C6711yescharacteristic
1503C22⋊C4C2×D4×C6711yescharacteristic
1504C22⋊C4C2×D4×C6711yescharacteristic
1505C42—21no—
1506C42—21no—
1507C42—21no—
1508C42—21no—
1509C42—21no—
1510C42—21no—
1511C42—21no—
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42C24×C6711yescharacteristic
1520C42C24×C6711yescharacteristic
1521C23—21no—
1522C23—21no—
1523C23—41no—
1524C23—41no—
1525C23—41no—
1526C23C22×D4×C6711yescharacteristic
1527C23C22×D4×C6711yescharacteristic
1528C23C22×D4×C6711yescharacteristic
1529C23C22×D4×C6711yescharacteristic
1530C23C22×D4×C6711yescharacteristic
1531Q8—21no—
1532Q8—21no—
1533Q8—21no—
1534Q8—21no—
1535Q8—21no—
1536Q8—21no—
1537Q8—21no—
1538Q8—21no—
1539Q8—41no—
1540Q8—81no—
1541Q8—81no—
1542Q8—81no—
1543Q8—81no—
1544Q8—81no—
1545D4—21no—
1546D4—21no—
1547D4—21no—
1548D4—21no—
1549D4—41no—
1550D4—41no—
1551D4—41no—
1552D4—41no—
1553D4—41no—
1554D4—41no—
1555D4—41no—
1556D4—42no—
1557D4—42no—
1558D4—81no—
1559D4—81no—
1560D4—81no—
1561D4—81no—
1562D4—81no—
1563D4—81no—
1564D4—81no—
1565D4—81no—
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—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—42no—
1594C2×C4—81no—
1595C2×C4—81no—
1596C2×C4—81no—
1597C2×C4—81no—
1598C2×C4—81no—
1599C2×C4—81no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—81no—
1603C2×C4—81no—
1604C2×C4—81no—
1605C2×C4—81no—
1606C2×C4—81no—
1607C2×C4C22×D4×C6711yescharacteristic
1608C2×C4C22×D4×C6711yescharacteristic
1609C2×C4C22×D4×C6711yescharacteristic
1610C2×C4C22×D4×C6711yescharacteristic
1611C2×C4C22×D4×C6711yescharacteristic
1612C2×C4C22×D4×C6711yescharacteristic
1613C2×C4C22×D4×C6711yescharacteristic
1614C2×C4C22×D4×C6711yescharacteristic
1615C2×C4C22×D4×C6711yescharacteristic
1616C2×C4C25×C6711yescharacteristic
1617C8—21no—
1618C8—21no—
1619C8—21no—
1620C8—21no—
1621C8—21no—
1622C8—21no—
1623C8—21no—
1624C8—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—21no—
1630C22—21no—
1631C22—21no—
1632C22—21no—
1633C22—21no—
1634C22—21no—
1635C22—21no—
1636C22—21no—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—82no—
1647C22C23×D4×C6711yescharacteristic
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—21no—
1654C4—21no—
1655C4—21no—
1656C4—21no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4#585×C6711yescharacteristic
1672C4#585×C6711yescharacteristic
1673C2—41no—
1674C2—41no—
1675C2—41no—
1676C2—41no—
1677C2—41no—
1678C2—81no—
1679C2—81no—
1680C2C67×#348511yescharacteristic
1681C2C67×#358411yescharacteristic
1682C2C67×#358611yescharacteristic
subgroupG/H
center, socleC22×C67C23×D4
commutator, Frattini, cosocleC2×C4C25×C67
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C67 ◁ #525×C67 ◁ G

Complements

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

NH ≅ G/Ntype
1. C67×#3541C2semidirect
2. C67×#3493C2semidirect
3. C67×#3357C2semidirect
4. C67×#3351C2semidirect
5. C67×#3350C2semidirect
6. C67×#3349C2semidirect
7. C67×#3347C2semidirect
8. C67×#3344C2semidirect
9. C67×#3342C2semidirect
10. C67×#3337C2semidirect
11. C67×#3329C2semidirect
12. C67×#3327C2semidirect
13. C67×#3321C2semidirect
14. C67×#3313C2semidirect
15. C67×#3312C2semidirect
16. C67×#3307C2semidirect
17. C67×#3302C2semidirect
18. C67×#3301C2semidirect
19. C67×#3243C2semidirect
20. C67×#3242C2semidirect
21. C67×#3203C2semidirect
22. C67×#3201C2semidirect
23. C67×#3197C2semidirect
24. C67×#3190C2semidirect
25. C67×#3125C2semidirect
26. C67×#3120C2semidirect
27. C67×#3099C2semidirect
28. C67×#3097C2semidirect
29. C67×#3095C2semidirect
30. C67×#3091C2semidirect
31. C67×#2976C2semidirect
77. #501×C67C22semidirect
78. #501×C67C22semidirect
79. #500×C67C22semidirect
80. #499×C67C22semidirect
81. #491×C67C22semidirect
82. #489×C67C22semidirect
83. #488×C67C22semidirect
84. #487×C67C22semidirect
95. #485×C67C22semidirect
96. #485×C67C22semidirect
97. #485×C67C22semidirect
98. #485×C67C22semidirect
102. #484×C67C22semidirect
103. #484×C67C22semidirect
108. #483×C67C22semidirect
109. #483×C67C22semidirect
114. #482×C67C22semidirect
115. #482×C67C22semidirect
117. #481×C67C22semidirect
120. #480×C67C22semidirect
121. #479×C67C22semidirect
122. #479×C67C22semidirect
123. #479×C67C22semidirect
124. #479×C67C22semidirect
125. #478×C67C22semidirect
126. #478×C67C22semidirect
127. #477×C67C22semidirect
128. #477×C67C22semidirect
129. #476×C67C22semidirect
130. #475×C67C22semidirect
131. #475×C67C22semidirect
132. #474×C67C22semidirect
134. #470×C67C22semidirect
138. #468×C67C22semidirect
139. #468×C67C22semidirect
140. #468×C67C22semidirect
143. #467×C67C22semidirect
144. #467×C67C22semidirect
145. #466×C67C22semidirect
148. #465×C67C22semidirect
149. #464×C67C22semidirect
150. #463×C67C22semidirect
151. #462×C67C22semidirect
152. #461×C67C22semidirect
157. #452×C67C22semidirect
159. #451×C67C22semidirect
162. #449×C67C22semidirect
164. #448×C67C22semidirect
165. #442×C67C22semidirect
166. #441×C67C22semidirect
167. #441×C67C22semidirect
168. #440×C67C22semidirect
169. C4×Q16×C67C22semidirect
170. C4×SD16×C67C22semidirect
171. C4×SD16×C67C22semidirect
172. C4×SD16×C67C22semidirect
185. #428×C67C22semidirect
186. #428×C67C22semidirect
189. #427×C67C22semidirect
190. C2×#106×C67C22semidirect
193. #419×C67C22semidirect
194. #417×C67C22semidirect
197. #416×C67C22semidirect
198. C2×#103×C67C22semidirect
831. #61750C67direct (N × H)
842. #3541C2×C67semidirect
843. #3493C2×C67semidirect
844. #3357C2×C67semidirect
845. #3351C2×C67semidirect
846. #3350C2×C67semidirect
847. #3349C2×C67semidirect
848. #3347C2×C67semidirect
849. #3344C2×C67semidirect
850. #3342C2×C67semidirect
851. #3337C2×C67semidirect
852. #3329C2×C67semidirect
853. #3327C2×C67semidirect
854. #3321C2×C67semidirect
855. #3313C2×C67semidirect
856. #3312C2×C67semidirect
857. #3307C2×C67semidirect
858. #3302C2×C67semidirect
859. #3301C2×C67semidirect
860. #3243C2×C67semidirect
861. #3242C2×C67semidirect
862. #3203C2×C67semidirect
863. #3201C2×C67semidirect
864. #3197C2×C67semidirect
865. #3190C2×C67semidirect
866. #3125C2×C67semidirect
867. #3120C2×C67semidirect
868. #3099C2×C67semidirect
869. #3097C2×C67semidirect
870. #3095C2×C67semidirect
871. #3091C2×C67semidirect
872. #2976C2×C67semidirect
873. C67#61750direct (N × H)
919. #501C22×C67semidirect
920. #501C22×C67semidirect
921. #500C22×C67semidirect
922. #499C22×C67semidirect
923. #491C22×C67semidirect
924. #489C22×C67semidirect
925. #488C22×C67semidirect
926. #487C22×C67semidirect
937. #485C22×C67semidirect
938. #485C22×C67semidirect
939. #485C22×C67semidirect
940. #485C22×C67semidirect
944. #484C22×C67semidirect
945. #484C22×C67semidirect
950. #483C22×C67semidirect
951. #483C22×C67semidirect
956. #482C22×C67semidirect
957. #482C22×C67semidirect
959. #481C22×C67semidirect
962. #480C22×C67semidirect
963. #479C22×C67semidirect
964. #479C22×C67semidirect
965. #479C22×C67semidirect
966. #479C22×C67semidirect
967. #478C22×C67semidirect
968. #478C22×C67semidirect
969. #477C22×C67semidirect
970. #477C22×C67semidirect
971. #476C22×C67semidirect
972. #475C22×C67semidirect
973. #475C22×C67semidirect
974. #474C22×C67semidirect
976. #470C22×C67semidirect
980. #468C22×C67semidirect
981. #468C22×C67semidirect
982. #468C22×C67semidirect
985. #467C22×C67semidirect
986. #467C22×C67semidirect
987. #466C22×C67semidirect
990. #465C22×C67semidirect
991. #464C22×C67semidirect
992. #463C22×C67semidirect
993. #462C22×C67semidirect
994. #461C22×C67semidirect
999. #452C22×C67semidirect
1001. #451C22×C67semidirect
1004. #449C22×C67semidirect
1006. #448C22×C67semidirect
1007. #442C22×C67semidirect
1008. #441C22×C67semidirect
1009. #441C22×C67semidirect
1010. #440C22×C67semidirect
1011. C4×Q16C22×C67semidirect
1012. C4×SD16C22×C67semidirect
1013. C4×SD16C22×C67semidirect
1014. C4×SD16C22×C67semidirect
1027. #428C22×C67semidirect
1028. #428C22×C67semidirect
1031. #427C22×C67semidirect
1032. C2×#106C22×C67semidirect
1035. #419C22×C67semidirect
1036. #417C22×C67semidirect
1039. #416C22×C67semidirect
1040. C2×#103C22×C67semidirect

Maximal subgroups

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

subgroupindex
C67×#35412
C67×#34932
C67×#33572
C67×#33512
C67×#33502
C67×#33492
C67×#33472
C67×#33442
C67×#33422
C67×#33372
C67×#33292
C67×#33272
C67×#33212
C67×#33132
C67×#33122
C67×#33072
C67×#33022
C67×#33012
C67×#32432
C67×#32422
C67×#32032
C67×#32012
C67×#31972
C67×#31902
C67×#31252
C67×#31202
C67×#30992
C67×#30972
C67×#30952
C67×#30912
C67×#29762
#6175067