Finite Group Databasebeta

← C67×#60987 #30740238

Subgroups — C67×#60987 #30740238

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×#3495C211yesmaximal, characteristic, complemented
2C67×#3455C211yesmaximal, characteristic, complemented
3C67×#3263C211yesmaximal, characteristic, complemented
4C67×#3262C211yesmaximal, characteristic, complemented
5C67×#3258C211yesmaximal, characteristic, complemented
6C67×#3258C211yesmaximal, characteristic, complemented
7C67×#3242C211yesmaximal, characteristic, complemented
8C67×#3241C211yesmaximal, characteristic, complemented
9C67×#3237C211yesmaximal, characteristic, complemented
10C67×#3233C211yesmaximal, characteristic, complemented
11C67×#3223C211yesmaximal, characteristic, complemented
12C67×#3221C211yesmaximal, characteristic, complemented
13C67×#3219C211yesmaximal, characteristic, complemented
14C67×#3210C211yesmaximal, characteristic, complemented
15C67×#3197C211yesmaximal, characteristic, complemented
16C67×#3196C211yesmaximal, characteristic, complemented
17C67×#3191C211yesmaximal, characteristic, complemented
18C67×#3190C211yesmaximal, characteristic, complemented
19C67×#3179C211yesmaximal, characteristic, complemented
20C67×#3178C211yesmaximal, characteristic, complemented
21C67×#3177C211yesmaximal, characteristic, complemented
22C67×#3174C211yesmaximal, characteristic, complemented
23C67×#3125C211yesmaximal, characteristic, complemented
24C67×#3124C211yesmaximal, characteristic, complemented
25C67×#3121C211yesmaximal, characteristic, complemented
26C67×#3121C211yesmaximal, characteristic, complemented
27C67×#3116C211yesmaximal, characteristic, complemented
28C67×#3111C211yesmaximal, characteristic, complemented
29C67×#3107C211yesmaximal, characteristic, complemented
30C67×#3102C211yesmaximal, characteristic, complemented
31C67×#2924C211yesmaximal, characteristic, complemented
32#556×C67—21no—
33#554×C67—21no—
34#552×C67—21no—
35#552×C67—21no—
36#552×C67—21no—
37#552×C67—21no—
38#551×C67—21no—
39#551×C67—21no—
40#544×C67C2211yescharacteristic
41#542×C67C2211yescharacteristic
42#542×C67C2211yescharacteristic
43#542×C67C2211yescharacteristic
44#542×C67C2211yescharacteristic
45#542×C67C2211yescharacteristic
46#542×C67C2211yescharacteristic
47#541×C67C2211yescharacteristic
48#541×C67C2211yescharacteristic
49#541×C67C2211yescharacteristic
50#541×C67C2211yescharacteristic
51#540×C67C2211yescharacteristic
52#540×C67C2211yescharacteristic
53#539×C67—21no—
54#539×C67—21no—
55#538×C67—21no—
56#538×C67—21no—
57#536×C67C2211yescharacteristic
58#533×C67C2211yescharacteristic
59#533×C67C2211yescharacteristic
60#533×C67C2211yescharacteristic
61#532×C67C2211yescharacteristic
62#529×C67—21no—
63#529×C67—21no—
64#529×C67—21no—
65#529×C67—21no—
66#529×C67C2211yescharacteristic
67#529×C67C2211yescharacteristic
68#525×C67C2211yescharacteristic
69#525×C67C2211yescharacteristic
70#525×C67C2211yescharacteristic
71C2×C22⋊Q8×C67C2211yescharacteristic
72#520×C67C2211yescharacteristic
73#519×C67C2211yescharacteristic
74C4×#41×C67C2211yescharacteristic
75C4×#41×C67C2211yescharacteristic
76C2×#117×C67C2211yescharacteristic
77#501×C67C2211yescharacteristic, complemented
78#501×C67C2211yescharacteristic, complemented
79#499×C67C2211yescharacteristic, complemented
80#499×C67C2211yescharacteristic, complemented
81#497×C67C2211yescharacteristic, complemented
82#496×C67C2211yescharacteristic, complemented
83#494×C67C2211yescharacteristic, complemented
84#492×C67C2211yescharacteristic, complemented
85#491×C67C2211yescharacteristic, complemented
86#491×C67C2211yescharacteristic, complemented
87#491×C67C2211yescharacteristic, complemented
88#490×C67C2211yescharacteristic, complemented
89#488×C67C2211yescharacteristic, complemented
90#488×C67C2211yescharacteristic, complemented
91#487×C67C2211yescharacteristic, complemented
92#486×C67C2211yescharacteristic, complemented
93#485×C67C2211yescharacteristic
94#485×C67C2211yescharacteristic
95#485×C67C2211yescharacteristic
96#485×C67C2211yescharacteristic
97#485×C67C2211yescharacteristic
98#485×C67C2211yescharacteristic
99#485×C67C2211yescharacteristic
100#485×C67C2211yescharacteristic
101#484×C67C2211yescharacteristic
102#483×C67C2211yescharacteristic
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#478×C67C2211yescharacteristic, complemented
112#478×C67C2211yescharacteristic, complemented
113#477×C67C2211yescharacteristic, complemented
114#477×C67C2211yescharacteristic, complemented
115#477×C67C2211yescharacteristic, complemented
116#477×C67C2211yescharacteristic, complemented
117#476×C67C2211yescharacteristic, complemented
118#476×C67C2211yescharacteristic, complemented
119#475×C67C2211yescharacteristic, complemented
120#475×C67C2211yescharacteristic, complemented
121#475×C67C2211yescharacteristic, complemented
122#475×C67C2211yescharacteristic, complemented
123#474×C67C2211yescharacteristic, complemented
124#474×C67C2211yescharacteristic, complemented
125#470×C67C2211yescharacteristic
126#470×C67C2211yescharacteristic
127#470×C67C2211yescharacteristic
128#469×C67C2211yescharacteristic
129#468×C67C2211yescharacteristic
130#468×C67C2211yescharacteristic
131#468×C67C2211yescharacteristic
132#468×C67C2211yescharacteristic
133#467×C67C2211yescharacteristic
134#467×C67C2211yescharacteristic
135#467×C67C2211yescharacteristic
136#466×C67C2211yescharacteristic
137#465×C67C2211yescharacteristic
138#465×C67C2211yescharacteristic
139#465×C67C2211yescharacteristic
140#465×C67C2211yescharacteristic
141#464×C67C2211yescharacteristic, complemented
142#464×C67C2211yescharacteristic, complemented
143#464×C67C2211yescharacteristic, complemented
144#464×C67C2211yescharacteristic, complemented
145#464×C67C2211yescharacteristic, complemented
146#464×C67C2211yescharacteristic, complemented
147#464×C67C2211yescharacteristic, complemented
148#464×C67C2211yescharacteristic, complemented
149#463×C67C2211yescharacteristic, complemented
150#463×C67C2211yescharacteristic, complemented
151#463×C67C2211yescharacteristic, complemented
152#463×C67C2211yescharacteristic, complemented
153#462×C67C2211yescharacteristic, complemented
154#462×C67C2211yescharacteristic, complemented
155#461×C67C2211yescharacteristic, complemented
156#461×C67C2211yescharacteristic, complemented
157#452×C67C2211yescharacteristic
158#452×C67C2211yescharacteristic
159#452×C67C2211yescharacteristic
160#452×C67C2211yescharacteristic
161#452×C67C2211yescharacteristic
162#452×C67C2211yescharacteristic
163#452×C67C2211yescharacteristic
164#452×C67C2211yescharacteristic
165#451×C67C2211yescharacteristic
166#451×C67C2211yescharacteristic
167#449×C67C2211yescharacteristic
168#449×C67C2211yescharacteristic
169#449×C67C2211yescharacteristic
170#449×C67C2211yescharacteristic
171#448×C67C2211yescharacteristic
172#448×C67C2211yescharacteristic
173#442×C67C2211yescharacteristic, complemented
174#441×C67C2211yescharacteristic, complemented
175#441×C67C2211yescharacteristic, complemented
176#441×C67C2211yescharacteristic, complemented
177#440×C67C2211yescharacteristic, complemented
178#440×C67C2211yescharacteristic, complemented
179#440×C67C2211yescharacteristic, complemented
180#440×C67C2211yescharacteristic, complemented
181C4×Q16×C67C2211yescharacteristic, complemented
182C4×Q16×C67C2211yescharacteristic, complemented
183C4×Q16×C67C2211yescharacteristic, complemented
184C4×SD16×C67C2211yescharacteristic, complemented
185C4×SD16×C67C2211yescharacteristic, complemented
186C4×SD16×C67C2211yescharacteristic, complemented
187C4×SD16×C67C2211yescharacteristic, complemented
188C4×D8×C67C2211yescharacteristic, complemented
189#433×C67C2211yescharacteristic
190#433×C67C2211yescharacteristic
191#433×C67C2211yescharacteristic
192#433×C67C2211yescharacteristic
193#432×C67C2211yescharacteristic
194#432×C67C2211yescharacteristic
195#431×C67C2211yescharacteristic
196#431×C67C2211yescharacteristic
197#424×C67C2211yescharacteristic
198#424×C67C2211yescharacteristic
199#407×C67C2211yescharacteristic
200C2×C22⋊C8×C67C2211yescharacteristic
201#405×C67C2211yescharacteristic
202#405×C67C2211yescharacteristic
203C2×#41×C67C2311yescharacteristic
204C2×#41×C67C2311yescharacteristic
205C2×#41×C67C2311yescharacteristic
206C22×Q8×C67C2311yescharacteristic
207C23×C4×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×C67C2311yescharacteristic
230C4⋊Q8×C67C2311yescharacteristic
231C4⋊Q8×C67C2311yescharacteristic
232C4⋊Q8×C67C2311yescharacteristic
233C4⋊Q8×C67C2311yescharacteristic
234C4⋊Q8×C67C2311yescharacteristic
235C4⋊Q8×C67C2311yescharacteristic
236#127×C67C2311yescharacteristic
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#126×C67—21no—
249#126×C67—21no—
250#126×C67—21no—
251#126×C67—21no—
252#126×C67—21no—
253#125×C67—21no—
254#125×C67—21no—
255#125×C67—21no—
256#125×C67—21no—
257#125×C67—21no—
258#125×C67—21no—
259#125×C67—21no—
260#125×C67—21no—
261#125×C67—21no—
262#125×C67—21no—
263#125×C67—21no—
264#125×C67C2311yescharacteristic
265#125×C67C2311yescharacteristic
266#125×C67C2311yescharacteristic
267#125×C67C2311yescharacteristic
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×C67C2311yescharacteristic
275#124×C67C2311yescharacteristic
276#124×C67C2311yescharacteristic
277#124×C67C2311yescharacteristic
278#123×C67—21no—
279#123×C67—21no—
280#123×C67—21no—
281#123×C67—21no—
282#123×C67—21no—
283#123×C67—21no—
284#123×C67—21no—
285#123×C67—21no—
286#123×C67—21no—
287#123×C67—21no—
288#123×C67—21no—
289#123×C67—21no—
290#123×C67—21no—
291#123×C67—21no—
292#123×C67—21no—
293#123×C67—21no—
294#123×C67—21no—
295C22⋊Q8×C67—21no—
296C22⋊Q8×C67—21no—
297C22⋊Q8×C67—21no—
298C22⋊Q8×C67—21no—
299C22⋊Q8×C67—21no—
300C22⋊Q8×C67—21no—
301C22⋊Q8×C67—21no—
302C22⋊Q8×C67—21no—
303C22⋊Q8×C67—21no—
304C22⋊Q8×C67—21no—
305C22⋊Q8×C67—21no—
306C22⋊Q8×C67—21no—
307C22⋊Q8×C67—21no—
308C22⋊Q8×C67—21no—
309C22⋊Q8×C67—21no—
310C22⋊Q8×C67—21no—
311C22⋊Q8×C67C2311yescharacteristic
312C22⋊Q8×C67C2311yescharacteristic
313C22⋊Q8×C67C2311yescharacteristic
314C22⋊Q8×C67C2311yescharacteristic
315C22⋊Q8×C67C2311yescharacteristic
316C22⋊Q8×C67C2311yescharacteristic
317C22⋊Q8×C67C2311yescharacteristic
318C22⋊Q8×C67C2311yescharacteristic
319C22⋊Q8×C67C2311yescharacteristic
320C22⋊Q8×C67C2311yescharacteristic
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×C67C2311yescharacteristic
328#121×C67C2311yescharacteristic
329#121×C67C2311yescharacteristic
330#121×C67C2311yescharacteristic
331#121×C67C2311yescharacteristic
332#121×C67C2311yescharacteristic
333#120×C67—21no—
334#120×C67—21no—
335#120×C67—21no—
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×C67C2311yescharacteristic
343C4×Q8×C67C2311yescharacteristic
344C4×Q8×C67C2311yescharacteristic
345C4×Q8×C67C2311yescharacteristic
346C4×Q8×C67C2311yescharacteristic
347C4×Q8×C67C2311yescharacteristic
348C4×Q8×C67C2311yescharacteristic
349C4×Q8×C67C2311yescharacteristic
350C4×Q8×C67C2311yescharacteristic
351C4×Q8×C67C2311yescharacteristic
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×C67—21no—
366C4×D4×C67—21no—
367C4×D4×C67—21no—
368C4×D4×C67C2311yescharacteristic
369C4×D4×C67C2311yescharacteristic
370C4×D4×C67C2311yescharacteristic
371C4×D4×C67C2311yescharacteristic
372C4×D4×C67C2311yescharacteristic
373C4×D4×C67C2311yescharacteristic
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×C67—21no—
381#117×C67—21no—
382#117×C67—21no—
383#117×C67D411yescharacteristic
384#117×C67D411yescharacteristic
385#117×C67D411yescharacteristic
386#117×C67D411yescharacteristic
387#117×C67C2311yescharacteristic
388#117×C67C2311yescharacteristic
389#117×C67C2311yescharacteristic
390#117×C67C2311yescharacteristic
391#117×C67C2311yescharacteristic
392#117×C67C2311yescharacteristic
393#117×C67C2311yescharacteristic
394C2×C4⋊C4×C67—21no—
395C2×C4⋊C4×C67—21no—
396C2×C4⋊C4×C67D411yescharacteristic
397C2×C4⋊C4×C67D411yescharacteristic
398C2×C4⋊C4×C67C2311yescharacteristic
399C2×C22⋊C4×C67—21no—
400C2×C22⋊C4×C67D411yescharacteristic
401C2×C22⋊C4×C67D411yescharacteristic
402C2×C42×C67—21no—
403C2×C42×C67—21no—
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×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—
485C2×Q8×C67—21no—
486C2×Q8×C67—21no—
487C2×Q8×C67—21no—
488C2×Q8×C67—21no—
489C2×Q8×C67—21no—
490C2×Q8×C67—41no—
491C2×Q8×C67—41no—
492C2×Q8×C67C2411yescharacteristic
493C2×Q8×C67C2411yescharacteristic
494C2×Q8×C67C2411yescharacteristic
495C2×Q8×C67C2411yescharacteristic
496C2×Q8×C67C2411yescharacteristic
497C2×D4×C67—21no—
498C2×D4×C67—21no—
499C2×D4×C67—21no—
500C2×D4×C67—21no—
501C2×D4×C67—21no—
502C2×D4×C67—21no—
503C2×D4×C67—21no—
504C2×D4×C67—21no—
505C2×D4×C67—21no—
506C2×D4×C67—21no—
507C2×D4×C67—21no—
508C2×D4×C67C2411yescharacteristic
509C2×D4×C67C2411yescharacteristic
510C2×D4×C67C2411yescharacteristic
511C22×C4×C67—21no—
512C22×C4×C67—21no—
513C22×C4×C67—21no—
514C22×C4×C67—21no—
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—41no—
523C22×C4×C67—41no—
524C22×C4×C67C2×D411yescharacteristic
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×C67—21no—
600C4⋊C4×C67—21no—
601C4⋊C4×C67C2×D411yescharacteristic
602C4⋊C4×C67C2×D411yescharacteristic
603C4⋊C4×C67C2×D411yescharacteristic
604C4⋊C4×C67C2×D411yescharacteristic
605C4⋊C4×C67C2×D411yescharacteristic
606C4⋊C4×C67C2×D411yescharacteristic
607C4⋊C4×C67C2×D411yescharacteristic
608C4⋊C4×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
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
656C22⋊C4×C67C2×D411yescharacteristic
657C22⋊C4×C67C2×D411yescharacteristic
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×C67—21no—
670C42×C67—21no—
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—41no—
683C23×C67—41no—
684C23×C67—41no—
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—42no—
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—21no—
708D4×C67—21no—
709D4×C67—42no—
710D4×C67—42no—
711D4×C67—42no—
712D4×C67—42no—
713D4×C67—81no—
714D4×C67—81no—
715D4×C67—81no—
716D4×C67—81no—
717D4×C67—81no—
718D4×C67—81no—
719D4×C67—81no—
720C2×C4×C67—21no—
721C2×C4×C67—21no—
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—41no—
740C2×C4×C67—41no—
741C2×C4×C67—41no—
742C2×C4×C67—41no—
743C2×C4×C67—41no—
744C2×C4×C67—41no—
745C2×C4×C67—41no—
746C2×C4×C67—42no—
747C2×C4×C67—42no—
748C2×C4×C67—42no—
749C2×C4×C67—42no—
750C2×C4×C67—81no—
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—82no—
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#60987C6711yesmaximal, 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#3495C2×C6711yescharacteristic, complemented
834#3455C2×C6711yescharacteristic, complemented
835#3263C2×C6711yescharacteristic, complemented
836#3262C2×C6711yescharacteristic, complemented
837#3258C2×C6711yescharacteristic, complemented
838#3258C2×C6711yescharacteristic, complemented
839#3242C2×C6711yescharacteristic, complemented
840#3241C2×C6711yescharacteristic, complemented
841#3237C2×C6711yescharacteristic, complemented
842#3233C2×C6711yescharacteristic, complemented
843#3223C2×C6711yescharacteristic, complemented
844#3221C2×C6711yescharacteristic, complemented
845#3219C2×C6711yescharacteristic, complemented
846#3210C2×C6711yescharacteristic, complemented
847#3197C2×C6711yescharacteristic, complemented
848#3196C2×C6711yescharacteristic, complemented
849#3191C2×C6711yescharacteristic, complemented
850#3190C2×C6711yescharacteristic, complemented
851#3179C2×C6711yescharacteristic, complemented
852#3178C2×C6711yescharacteristic, complemented
853#3177C2×C6711yescharacteristic, complemented
854#3174C2×C6711yescharacteristic, complemented
855#3125C2×C6711yescharacteristic, complemented
856#3124C2×C6711yescharacteristic, complemented
857#3121C2×C6711yescharacteristic, complemented
858#3121C2×C6711yescharacteristic, complemented
859#3116C2×C6711yescharacteristic, complemented
860#3111C2×C6711yescharacteristic, complemented
861#3107C2×C6711yescharacteristic, complemented
862#3102C2×C6711yescharacteristic, complemented
863#2924C2×C6711yescharacteristic, complemented
864C67#6098711yescharacteristic, direct product factor, Sylow
865#556—21no—
866#554—21no—
867#552—21no—
868#552—21no—
869#552—21no—
870#552—21no—
871#551—21no—
872#551—21no—
873#544C22×C6711yescharacteristic
874#542C22×C6711yescharacteristic
875#542C22×C6711yescharacteristic
876#542C22×C6711yescharacteristic
877#542C22×C6711yescharacteristic
878#542C22×C6711yescharacteristic
879#542C22×C6711yescharacteristic
880#541C22×C6711yescharacteristic
881#541C22×C6711yescharacteristic
882#541C22×C6711yescharacteristic
883#541C22×C6711yescharacteristic
884#540C22×C6711yescharacteristic
885#540C22×C6711yescharacteristic
886#539—21no—
887#539—21no—
888#538—21no—
889#538—21no—
890#536C22×C6711yescharacteristic
891#533C22×C6711yescharacteristic
892#533C22×C6711yescharacteristic
893#533C22×C6711yescharacteristic
894#532C22×C6711yescharacteristic
895#529—21no—
896#529—21no—
897#529—21no—
898#529—21no—
899#529C22×C6711yescharacteristic
900#529C22×C6711yescharacteristic
901#525C22×C6711yescharacteristic
902#525C22×C6711yescharacteristic
903#525C22×C6711yescharacteristic
904C2×C22⋊Q8C22×C6711yescharacteristic
905#520C22×C6711yescharacteristic
906#519C22×C6711yescharacteristic
907C4×#41C22×C6711yescharacteristic
908C4×#41C22×C6711yescharacteristic
909C2×#117C22×C6711yescharacteristic
910#501C22×C6711yescharacteristic, complemented
911#501C22×C6711yescharacteristic, complemented
912#499C22×C6711yescharacteristic, complemented
913#499C22×C6711yescharacteristic, complemented
914#497C22×C6711yescharacteristic, complemented
915#496C22×C6711yescharacteristic, complemented
916#494C22×C6711yescharacteristic, complemented
917#492C22×C6711yescharacteristic, complemented
918#491C22×C6711yescharacteristic, complemented
919#491C22×C6711yescharacteristic, complemented
920#491C22×C6711yescharacteristic, complemented
921#490C22×C6711yescharacteristic, complemented
922#488C22×C6711yescharacteristic, complemented
923#488C22×C6711yescharacteristic, complemented
924#487C22×C6711yescharacteristic, complemented
925#486C22×C6711yescharacteristic, complemented
926#485C22×C6711yescharacteristic
927#485C22×C6711yescharacteristic
928#485C22×C6711yescharacteristic
929#485C22×C6711yescharacteristic
930#485C22×C6711yescharacteristic
931#485C22×C6711yescharacteristic
932#485C22×C6711yescharacteristic
933#485C22×C6711yescharacteristic
934#484C22×C6711yescharacteristic
935#483C22×C6711yescharacteristic
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#478C22×C6711yescharacteristic, complemented
945#478C22×C6711yescharacteristic, complemented
946#477C22×C6711yescharacteristic, complemented
947#477C22×C6711yescharacteristic, complemented
948#477C22×C6711yescharacteristic, complemented
949#477C22×C6711yescharacteristic, complemented
950#476C22×C6711yescharacteristic, complemented
951#476C22×C6711yescharacteristic, complemented
952#475C22×C6711yescharacteristic, complemented
953#475C22×C6711yescharacteristic, complemented
954#475C22×C6711yescharacteristic, complemented
955#475C22×C6711yescharacteristic, complemented
956#474C22×C6711yescharacteristic, complemented
957#474C22×C6711yescharacteristic, complemented
958#470C22×C6711yescharacteristic
959#470C22×C6711yescharacteristic
960#470C22×C6711yescharacteristic
961#469C22×C6711yescharacteristic
962#468C22×C6711yescharacteristic
963#468C22×C6711yescharacteristic
964#468C22×C6711yescharacteristic
965#468C22×C6711yescharacteristic
966#467C22×C6711yescharacteristic
967#467C22×C6711yescharacteristic
968#467C22×C6711yescharacteristic
969#466C22×C6711yescharacteristic
970#465C22×C6711yescharacteristic
971#465C22×C6711yescharacteristic
972#465C22×C6711yescharacteristic
973#465C22×C6711yescharacteristic
974#464C22×C6711yescharacteristic, complemented
975#464C22×C6711yescharacteristic, complemented
976#464C22×C6711yescharacteristic, complemented
977#464C22×C6711yescharacteristic, complemented
978#464C22×C6711yescharacteristic, complemented
979#464C22×C6711yescharacteristic, complemented
980#464C22×C6711yescharacteristic, complemented
981#464C22×C6711yescharacteristic, complemented
982#463C22×C6711yescharacteristic, complemented
983#463C22×C6711yescharacteristic, complemented
984#463C22×C6711yescharacteristic, complemented
985#463C22×C6711yescharacteristic, complemented
986#462C22×C6711yescharacteristic, complemented
987#462C22×C6711yescharacteristic, complemented
988#461C22×C6711yescharacteristic, complemented
989#461C22×C6711yescharacteristic, complemented
990#452C22×C6711yescharacteristic
991#452C22×C6711yescharacteristic
992#452C22×C6711yescharacteristic
993#452C22×C6711yescharacteristic
994#452C22×C6711yescharacteristic
995#452C22×C6711yescharacteristic
996#452C22×C6711yescharacteristic
997#452C22×C6711yescharacteristic
998#451C22×C6711yescharacteristic
999#451C22×C6711yescharacteristic
1000#449C22×C6711yescharacteristic
1001#449C22×C6711yescharacteristic
1002#449C22×C6711yescharacteristic
1003#449C22×C6711yescharacteristic
1004#448C22×C6711yescharacteristic
1005#448C22×C6711yescharacteristic
1006#442C22×C6711yescharacteristic, complemented
1007#441C22×C6711yescharacteristic, complemented
1008#441C22×C6711yescharacteristic, complemented
1009#441C22×C6711yescharacteristic, complemented
1010#440C22×C6711yescharacteristic, complemented
1011#440C22×C6711yescharacteristic, complemented
1012#440C22×C6711yescharacteristic, complemented
1013#440C22×C6711yescharacteristic, complemented
1014C4×Q16C22×C6711yescharacteristic, complemented
1015C4×Q16C22×C6711yescharacteristic, complemented
1016C4×Q16C22×C6711yescharacteristic, complemented
1017C4×SD16C22×C6711yescharacteristic, complemented
1018C4×SD16C22×C6711yescharacteristic, complemented
1019C4×SD16C22×C6711yescharacteristic, complemented
1020C4×SD16C22×C6711yescharacteristic, complemented
1021C4×D8C22×C6711yescharacteristic, complemented
1022#433C22×C6711yescharacteristic
1023#433C22×C6711yescharacteristic
1024#433C22×C6711yescharacteristic
1025#433C22×C6711yescharacteristic
1026#432C22×C6711yescharacteristic
1027#432C22×C6711yescharacteristic
1028#431C22×C6711yescharacteristic
1029#431C22×C6711yescharacteristic
1030#424C22×C6711yescharacteristic
1031#424C22×C6711yescharacteristic
1032#407C22×C6711yescharacteristic
1033C2×C22⋊C8C22×C6711yescharacteristic
1034#405C22×C6711yescharacteristic
1035#405C22×C6711yescharacteristic
1036C2×#41C23×C6711yescharacteristic
1037C2×#41C23×C6711yescharacteristic
1038C2×#41C23×C6711yescharacteristic
1039C22×Q8C23×C6711yescharacteristic
1040C23×C4C23×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⋊Q8C23×C6711yescharacteristic
1063C4⋊Q8C23×C6711yescharacteristic
1064C4⋊Q8C23×C6711yescharacteristic
1065C4⋊Q8C23×C6711yescharacteristic
1066C4⋊Q8C23×C6711yescharacteristic
1067C4⋊Q8C23×C6711yescharacteristic
1068C4⋊Q8C23×C6711yescharacteristic
1069#127C23×C6711yescharacteristic
1070#126—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#125—21no—
1087#125—21no—
1088#125—21no—
1089#125—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#125C23×C6711yescharacteristic
1101#124—21no—
1102#124—21no—
1103#124—21no—
1104#124—21no—
1105#124—21no—
1106#124—21no—
1107#124C23×C6711yescharacteristic
1108#124C23×C6711yescharacteristic
1109#124C23×C6711yescharacteristic
1110#124C23×C6711yescharacteristic
1111#123—21no—
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#123—21no—
1126#123—21no—
1127#123—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⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
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
1154#121—21no—
1155#121—21no—
1156#121—21no—
1157#121—21no—
1158#121—21no—
1159#121—21no—
1160#121C23×C6711yescharacteristic
1161#121C23×C6711yescharacteristic
1162#121C23×C6711yescharacteristic
1163#121C23×C6711yescharacteristic
1164#121C23×C6711yescharacteristic
1165#121C23×C6711yescharacteristic
1166#120—21no—
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×Q8C23×C6711yescharacteristic
1176C4×Q8C23×C6711yescharacteristic
1177C4×Q8C23×C6711yescharacteristic
1178C4×Q8C23×C6711yescharacteristic
1179C4×Q8C23×C6711yescharacteristic
1180C4×Q8C23×C6711yescharacteristic
1181C4×Q8C23×C6711yescharacteristic
1182C4×Q8C23×C6711yescharacteristic
1183C4×Q8C23×C6711yescharacteristic
1184C4×Q8C23×C6711yescharacteristic
1185C4×D4—21no—
1186C4×D4—21no—
1187C4×D4—21no—
1188C4×D4—21no—
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×D4—21no—
1200C4×D4—21no—
1201C4×D4C23×C6711yescharacteristic
1202C4×D4C23×C6711yescharacteristic
1203C4×D4C23×C6711yescharacteristic
1204C4×D4C23×C6711yescharacteristic
1205C4×D4C23×C6711yescharacteristic
1206C4×D4C23×C6711yescharacteristic
1207#117—21no—
1208#117—21no—
1209#117—21no—
1210#117—21no—
1211#117—21no—
1212#117—21no—
1213#117—21no—
1214#117—21no—
1215#117—21no—
1216#117D4×C6711yescharacteristic
1217#117D4×C6711yescharacteristic
1218#117D4×C6711yescharacteristic
1219#117D4×C6711yescharacteristic
1220#117C23×C6711yescharacteristic
1221#117C23×C6711yescharacteristic
1222#117C23×C6711yescharacteristic
1223#117C23×C6711yescharacteristic
1224#117C23×C6711yescharacteristic
1225#117C23×C6711yescharacteristic
1226#117C23×C6711yescharacteristic
1227C2×C4⋊C4—21no—
1228C2×C4⋊C4—21no—
1229C2×C4⋊C4D4×C6711yescharacteristic
1230C2×C4⋊C4D4×C6711yescharacteristic
1231C2×C4⋊C4C23×C6711yescharacteristic
1232C2×C22⋊C4—21no—
1233C2×C22⋊C4D4×C6711yescharacteristic
1234C2×C22⋊C4D4×C6711yescharacteristic
1235C2×C42—21no—
1236C2×C42—21no—
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
1311C24C2×D4×C6711yescharacteristic
1312#41—41no—
1313#41—41no—
1314#41—41no—
1315#41—41no—
1316#41—41no—
1317#41—41no—
1318C2×Q8—21no—
1319C2×Q8—21no—
1320C2×Q8—21no—
1321C2×Q8—21no—
1322C2×Q8—21no—
1323C2×Q8—41no—
1324C2×Q8—41no—
1325C2×Q8C24×C6711yescharacteristic
1326C2×Q8C24×C6711yescharacteristic
1327C2×Q8C24×C6711yescharacteristic
1328C2×Q8C24×C6711yescharacteristic
1329C2×Q8C24×C6711yescharacteristic
1330C2×D4—21no—
1331C2×D4—21no—
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—21no—
1341C2×D4C24×C6711yescharacteristic
1342C2×D4C24×C6711yescharacteristic
1343C2×D4C24×C6711yescharacteristic
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—41no—
1356C22×C4—41no—
1357C22×C4C2×D4×C6711yescharacteristic
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⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4C2×D4×C6711yescharacteristic
1435C4⋊C4C2×D4×C6711yescharacteristic
1436C4⋊C4C2×D4×C6711yescharacteristic
1437C4⋊C4C2×D4×C6711yescharacteristic
1438C4⋊C4C2×D4×C6711yescharacteristic
1439C4⋊C4C2×D4×C6711yescharacteristic
1440C4⋊C4C2×D4×C6711yescharacteristic
1441C4⋊C4C2×D4×C6711yescharacteristic
1442C4⋊C4C24×C6711yescharacteristic
1443C4⋊C4C24×C6711yescharacteristic
1444C4⋊C4C24×C6711yescharacteristic
1445C4⋊C4C24×C6711yescharacteristic
1446C4⋊C4C24×C6711yescharacteristic
1447C4⋊C4C24×C6711yescharacteristic
1448C4⋊C4C24×C6711yescharacteristic
1449C4⋊C4C24×C6711yescharacteristic
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
1489C22⋊C4C2×D4×C6711yescharacteristic
1490C22⋊C4C2×D4×C6711yescharacteristic
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42—21no—
1498C42—21no—
1499C42—21no—
1500C42—21no—
1501C42—21no—
1502C42—21no—
1503C42—21no—
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—41no—
1516C23—41no—
1517C23—41no—
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—42no—
1532Q8—81no—
1533Q8—81no—
1534Q8—81no—
1535Q8—81no—
1536D4—21no—
1537D4—21no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—21no—
1542D4—42no—
1543D4—42no—
1544D4—42no—
1545D4—42no—
1546D4—81no—
1547D4—81no—
1548D4—81no—
1549D4—81no—
1550D4—81no—
1551D4—81no—
1552D4—81no—
1553C2×C4—21no—
1554C2×C4—21no—
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—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—42no—
1580C2×C4—42no—
1581C2×C4—42no—
1582C2×C4—42no—
1583C2×C4—81no—
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—82no—
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
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C67 ◁ C2×#117×C67 ◁ G

Complements

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

NH ≅ G/Ntype
1. C67×#3495C2semidirect
2. C67×#3455C2semidirect
3. C67×#3263C2semidirect
4. C67×#3262C2semidirect
5. C67×#3258C2semidirect
6. C67×#3258C2semidirect
7. C67×#3242C2semidirect
8. C67×#3241C2semidirect
9. C67×#3237C2semidirect
10. C67×#3233C2semidirect
11. C67×#3223C2semidirect
12. C67×#3221C2semidirect
13. C67×#3219C2semidirect
14. C67×#3210C2semidirect
15. C67×#3197C2semidirect
16. C67×#3196C2semidirect
17. C67×#3191C2semidirect
18. C67×#3190C2semidirect
19. C67×#3179C2semidirect
20. C67×#3178C2semidirect
21. C67×#3177C2semidirect
22. C67×#3174C2semidirect
23. C67×#3125C2semidirect
24. C67×#3124C2semidirect
25. C67×#3121C2semidirect
26. C67×#3121C2semidirect
27. C67×#3116C2semidirect
28. C67×#3111C2semidirect
29. C67×#3107C2semidirect
30. C67×#3102C2semidirect
31. C67×#2924C2semidirect
77. #501×C67C22semidirect
78. #501×C67C22semidirect
79. #499×C67C22semidirect
80. #499×C67C22semidirect
81. #497×C67C22semidirect
82. #496×C67C22semidirect
83. #494×C67C22semidirect
84. #492×C67C22semidirect
85. #491×C67C22semidirect
86. #491×C67C22semidirect
87. #491×C67C22semidirect
88. #490×C67C22semidirect
89. #488×C67C22semidirect
90. #488×C67C22semidirect
91. #487×C67C22semidirect
92. #486×C67C22semidirect
109. #479×C67C22semidirect
110. #479×C67C22semidirect
111. #478×C67C22semidirect
112. #478×C67C22semidirect
113. #477×C67C22semidirect
114. #477×C67C22semidirect
115. #477×C67C22semidirect
116. #477×C67C22semidirect
117. #476×C67C22semidirect
118. #476×C67C22semidirect
119. #475×C67C22semidirect
120. #475×C67C22semidirect
121. #475×C67C22semidirect
122. #475×C67C22semidirect
123. #474×C67C22semidirect
124. #474×C67C22semidirect
141. #464×C67C22semidirect
142. #464×C67C22semidirect
143. #464×C67C22semidirect
144. #464×C67C22semidirect
145. #464×C67C22semidirect
146. #464×C67C22semidirect
147. #464×C67C22semidirect
148. #464×C67C22semidirect
149. #463×C67C22semidirect
150. #463×C67C22semidirect
151. #463×C67C22semidirect
152. #463×C67C22semidirect
153. #462×C67C22semidirect
154. #462×C67C22semidirect
155. #461×C67C22semidirect
156. #461×C67C22semidirect
173. #442×C67C22semidirect
174. #441×C67C22semidirect
175. #441×C67C22semidirect
176. #441×C67C22semidirect
177. #440×C67C22semidirect
178. #440×C67C22semidirect
179. #440×C67C22semidirect
180. #440×C67C22semidirect
181. C4×Q16×C67C22semidirect
182. C4×Q16×C67C22semidirect
183. C4×Q16×C67C22semidirect
184. C4×SD16×C67C22semidirect
185. C4×SD16×C67C22semidirect
186. C4×SD16×C67C22semidirect
187. C4×SD16×C67C22semidirect
188. C4×D8×C67C22semidirect
823. #60987C67direct (N × H)
833. #3495C2×C67semidirect
834. #3455C2×C67semidirect
835. #3263C2×C67semidirect
836. #3262C2×C67semidirect
837. #3258C2×C67semidirect
838. #3258C2×C67semidirect
839. #3242C2×C67semidirect
840. #3241C2×C67semidirect
841. #3237C2×C67semidirect
842. #3233C2×C67semidirect
843. #3223C2×C67semidirect
844. #3221C2×C67semidirect
845. #3219C2×C67semidirect
846. #3210C2×C67semidirect
847. #3197C2×C67semidirect
848. #3196C2×C67semidirect
849. #3191C2×C67semidirect
850. #3190C2×C67semidirect
851. #3179C2×C67semidirect
852. #3178C2×C67semidirect
853. #3177C2×C67semidirect
854. #3174C2×C67semidirect
855. #3125C2×C67semidirect
856. #3124C2×C67semidirect
857. #3121C2×C67semidirect
858. #3121C2×C67semidirect
859. #3116C2×C67semidirect
860. #3111C2×C67semidirect
861. #3107C2×C67semidirect
862. #3102C2×C67semidirect
863. #2924C2×C67semidirect
864. C67#60987direct (N × H)
910. #501C22×C67semidirect
911. #501C22×C67semidirect
912. #499C22×C67semidirect
913. #499C22×C67semidirect
914. #497C22×C67semidirect
915. #496C22×C67semidirect
916. #494C22×C67semidirect
917. #492C22×C67semidirect
918. #491C22×C67semidirect
919. #491C22×C67semidirect
920. #491C22×C67semidirect
921. #490C22×C67semidirect
922. #488C22×C67semidirect
923. #488C22×C67semidirect
924. #487C22×C67semidirect
925. #486C22×C67semidirect
942. #479C22×C67semidirect
943. #479C22×C67semidirect
944. #478C22×C67semidirect
945. #478C22×C67semidirect
946. #477C22×C67semidirect
947. #477C22×C67semidirect
948. #477C22×C67semidirect
949. #477C22×C67semidirect
950. #476C22×C67semidirect
951. #476C22×C67semidirect
952. #475C22×C67semidirect
953. #475C22×C67semidirect
954. #475C22×C67semidirect
955. #475C22×C67semidirect
956. #474C22×C67semidirect
957. #474C22×C67semidirect
974. #464C22×C67semidirect
975. #464C22×C67semidirect
976. #464C22×C67semidirect
977. #464C22×C67semidirect
978. #464C22×C67semidirect
979. #464C22×C67semidirect
980. #464C22×C67semidirect
981. #464C22×C67semidirect
982. #463C22×C67semidirect
983. #463C22×C67semidirect
984. #463C22×C67semidirect
985. #463C22×C67semidirect
986. #462C22×C67semidirect
987. #462C22×C67semidirect
988. #461C22×C67semidirect
989. #461C22×C67semidirect
1006. #442C22×C67semidirect
1007. #441C22×C67semidirect
1008. #441C22×C67semidirect
1009. #441C22×C67semidirect
1010. #440C22×C67semidirect
1011. #440C22×C67semidirect
1012. #440C22×C67semidirect
1013. #440C22×C67semidirect
1014. C4×Q16C22×C67semidirect
1015. C4×Q16C22×C67semidirect
1016. C4×Q16C22×C67semidirect
1017. C4×SD16C22×C67semidirect
1018. C4×SD16C22×C67semidirect
1019. C4×SD16C22×C67semidirect
1020. C4×SD16C22×C67semidirect
1021. C4×D8C22×C67semidirect

Maximal subgroups

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

subgroupindex
C67×#34952
C67×#34552
C67×#32632
C67×#32622
C67×#32582
C67×#32422
C67×#32412
C67×#32372
C67×#32332
C67×#32232
C67×#32212
C67×#32192
C67×#32102
C67×#31972
C67×#31962
C67×#31912
C67×#31902
C67×#31792
C67×#31782
C67×#31772
C67×#31742
C67×#31252
C67×#31242
C67×#31212
C67×#31162
C67×#31112
C67×#31072
C67×#31022
C67×#29242
#6098767