Finite Group Databasebeta

← C67×#61856 #30741107

Subgroups — C67×#61856 #30741107

Order 17152.

1612 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3557C211yesmaximal, characteristic
2C67×#3502C211yesmaximal, characteristic, complemented
3C67×#3390C211yesmaximal, characteristic, complemented
4C67×#3390C211yesmaximal, characteristic, complemented
5C67×#3388C211yesmaximal, characteristic, complemented
6C67×#3388C211yesmaximal, characteristic, complemented
7C67×#3387C211yesmaximal, characteristic, complemented
8C67×#3385C211yesmaximal, characteristic, complemented
9C67×#3383C211yesmaximal, characteristic, complemented
10C67×#3381C211yesmaximal, characteristic, complemented
11C67×#3377C211yesmaximal, characteristic, complemented
12C67×#3377C211yesmaximal, characteristic, complemented
13C67×#3375C211yesmaximal, characteristic, complemented
14C67×#3371C211yesmaximal, characteristic, complemented
15C67×#3371C211yesmaximal, characteristic, complemented
16C67×#3369C211yesmaximal, characteristic, complemented
17C67×#3365C211yesmaximal, characteristic, complemented
18C67×#3364C211yesmaximal, characteristic, complemented
19C67×#3244C211yesmaximal, characteristic, complemented
20C67×#3243C211yesmaximal, characteristic, complemented
21C67×#3242C211yesmaximal, characteristic, complemented
22C67×#3241C211yesmaximal, characteristic
23C67×#3240C211yesmaximal, characteristic, complemented
24C67×#3233C211yesmaximal, characteristic, complemented
25C67×#3127C211yesmaximal, characteristic, complemented
26C67×#3126C211yesmaximal, characteristic
27C67×#3121C211yesmaximal, characteristic, complemented
28C67×#3121C211yesmaximal, characteristic, complemented
29C67×#3117C211yesmaximal, characteristic, complemented
30C67×#3108C211yesmaximal, characteristic, complemented
31C67×#2985C211yesmaximal, characteristic, complemented
32#563×C67—21no—
33#563×C67—21no—
34#559×C67C2211yescharacteristic
35#559×C67C2211yescharacteristic
36Q82×C67—21no—
37Q82×C67C2211yescharacteristic
38Q82×C67C2211yescharacteristic
39#557×C67—21no—
40#557×C67—21no—
41#557×C67—21no—
42#557×C67C2211yescharacteristic
43#557×C67C2211yescharacteristic
44#557×C67C2211yescharacteristic
45#557×C67C2211yescharacteristic
46#557×C67C2211yescharacteristic
47#557×C67C2211yescharacteristic
48#557×C67C2211yescharacteristic
49#557×C67C2211yescharacteristic
50#556×C67C2211yescharacteristic
51#556×C67C2211yescharacteristic
52#554×C67C2211yescharacteristic
53#554×C67C2211yescharacteristic
54#552×C67—21no—
55#552×C67—21no—
56#544×C67—21no—
57#544×C67—21no—
58#544×C67C2211yescharacteristic
59#544×C67C2211yescharacteristic
60#542×C67—21no—
61#542×C67—21no—
62#542×C67C2211yescharacteristic
63#542×C67C2211yescharacteristic
64#541×C67C2211yescharacteristic
65#540×C67C2211yescharacteristic
66#539×C67—21no—
67#539×C67—21no—
68#533×C67—21no—
69#533×C67—21no—
70#533×C67C2211yescharacteristic
71#533×C67C2211yescharacteristic
72#529×C67C2211yescharacteristic
73#529×C67C2211yescharacteristic
74#519×C67C2211yescharacteristic
75#519×C67C2211yescharacteristic
76C2×C4×Q8×C67C2211yescharacteristic
77#501×C67C2211yescharacteristic
78#501×C67C2211yescharacteristic
79#501×C67C2211yescharacteristic
80#501×C67C2211yescharacteristic
81#501×C67C2211yescharacteristic
82#501×C67C2211yescharacteristic
83#500×C67C2211yescharacteristic
84#499×C67C2211yescharacteristic
85#499×C67C2211yescharacteristic
86#499×C67C2211yescharacteristic
87#499×C67C2211yescharacteristic
88#498×C67C2211yescharacteristic
89#491×C67C2211yescharacteristic
90#490×C67C2211yescharacteristic
91#489×C67C2211yescharacteristic
92#489×C67C2211yescharacteristic
93#489×C67C2211yescharacteristic
94#489×C67C2211yescharacteristic
95#488×C67C2211yescharacteristic
96#488×C67C2211yescharacteristic
97#488×C67C2211yescharacteristic
98#488×C67C2211yescharacteristic
99#487×C67C2211yescharacteristic
100#486×C67C2211yescharacteristic
101#485×C67C2211yescharacteristic
102#485×C67C2211yescharacteristic
103#485×C67C2211yescharacteristic
104#485×C67C2211yescharacteristic
105#484×C67C2211yescharacteristic
106#483×C67C2211yescharacteristic
107#482×C67C2211yescharacteristic
108#482×C67C2211yescharacteristic
109#482×C67C2211yescharacteristic
110#482×C67C2211yescharacteristic
111#481×C67C2211yescharacteristic
112#480×C67C2211yescharacteristic
113#479×C67C2211yescharacteristic
114#479×C67C2211yescharacteristic
115#479×C67C2211yescharacteristic
116#479×C67C2211yescharacteristic
117#479×C67C2211yescharacteristic
118#479×C67C2211yescharacteristic
119#479×C67C2211yescharacteristic
120#479×C67C2211yescharacteristic
121#479×C67C2211yescharacteristic
122#479×C67C2211yescharacteristic
123#479×C67C2211yescharacteristic
124#479×C67C2211yescharacteristic
125#479×C67C2211yescharacteristic
126#479×C67C2211yescharacteristic
127#478×C67C2211yescharacteristic
128#478×C67C2211yescharacteristic
129#478×C67C2211yescharacteristic
130#478×C67C2211yescharacteristic
131#478×C67C2211yescharacteristic
132#478×C67C2211yescharacteristic
133#477×C67C2211yescharacteristic
134#477×C67C2211yescharacteristic
135#477×C67C2211yescharacteristic
136#477×C67C2211yescharacteristic
137#477×C67C2211yescharacteristic
138#476×C67C2211yescharacteristic
139#476×C67C2211yescharacteristic
140#476×C67C2211yescharacteristic
141#475×C67C2211yescharacteristic
142#475×C67C2211yescharacteristic
143#475×C67C2211yescharacteristic
144#475×C67C2211yescharacteristic
145#475×C67C2211yescharacteristic
146#474×C67C2211yescharacteristic
147#474×C67C2211yescharacteristic
148#474×C67C2211yescharacteristic
149#464×C67C2211yescharacteristic
150#464×C67C2211yescharacteristic
151#464×C67C2211yescharacteristic
152#464×C67C2211yescharacteristic
153#464×C67C2211yescharacteristic
154#464×C67C2211yescharacteristic
155#464×C67C2211yescharacteristic
156#464×C67C2211yescharacteristic
157#462×C67C2211yescharacteristic
158#462×C67C2211yescharacteristic
159#460×C67C2211yescharacteristic
160#460×C67C2211yescharacteristic
161#451×C67C2211yescharacteristic
162#451×C67C2211yescharacteristic
163#448×C67C2211yescharacteristic
164#448×C67C2211yescharacteristic
165#446×C67C2211yescharacteristic
166#446×C67C2211yescharacteristic
167#446×C67C2211yescharacteristic
168#446×C67C2211yescharacteristic
169#446×C67C2211yescharacteristic
170#446×C67C2211yescharacteristic
171C8×Q8×C67C2211yescharacteristic
172C8×Q8×C67C2211yescharacteristic
173#441×C67C2211yescharacteristic
174#441×C67C2211yescharacteristic
175#441×C67C2211yescharacteristic
176#441×C67C2211yescharacteristic
177#441×C67C2211yescharacteristic
178#441×C67C2211yescharacteristic
179#440×C67C2211yescharacteristic
180#440×C67C2211yescharacteristic
181#440×C67C2211yescharacteristic
182#440×C67C2211yescharacteristic
183#440×C67C2211yescharacteristic
184#440×C67C2211yescharacteristic
185C4×Q16×C67C2211yescharacteristic
186C4×Q16×C67C2211yescharacteristic
187C4×Q16×C67C2211yescharacteristic
188C4×Q16×C67C2211yescharacteristic
189C4×Q16×C67C2211yescharacteristic
190C4×Q16×C67C2211yescharacteristic
191C4×SD16×C67C2211yescharacteristic
192C4×SD16×C67C2211yescharacteristic
193C4×SD16×C67C2211yescharacteristic
194C4×SD16×C67C2211yescharacteristic
195C4×SD16×C67C2211yescharacteristic
196C4×SD16×C67C2211yescharacteristic
197#433×C67C2211yescharacteristic
198#433×C67C2211yescharacteristic
199#433×C67C2211yescharacteristic
200#433×C67C2211yescharacteristic
201#432×C67C2211yescharacteristic
202#431×C67C2211yescharacteristic
203C22×Q8×C67C2311yescharacteristic
204C2×Q16×C67C2311yescharacteristic
205C2×Q16×C67C2311yescharacteristic
206C2×Q16×C67C2311yescharacteristic
207C2×Q16×C67C2311yescharacteristic
208C2×SD16×C67C2311yescharacteristic
209C2×SD16×C67C2311yescharacteristic
210C2×SD16×C67C2311yescharacteristic
211C2×SD16×C67C2311yescharacteristic
212C4⋊Q8×C67—21no—
213C4⋊Q8×C67—21no—
214C4⋊Q8×C67—21no—
215C4⋊Q8×C67—21no—
216C4⋊Q8×C67—21no—
217C4⋊Q8×C67—21no—
218C4⋊Q8×C67—21no—
219C4⋊Q8×C67—21no—
220C4⋊Q8×C67—21no—
221C4⋊Q8×C67—21no—
222C4⋊Q8×C67—21no—
223C4⋊Q8×C67—21no—
224C4⋊Q8×C67—21no—
225C4⋊Q8×C67—21no—
226C4⋊Q8×C67—21no—
227C4⋊Q8×C67—21no—
228C4⋊Q8×C67D411yescharacteristic
229C4⋊Q8×C67D411yescharacteristic
230C4⋊Q8×C67C2311yescharacteristic
231C4⋊Q8×C67C2311yescharacteristic
232C4⋊Q8×C67C2311yescharacteristic
233C4⋊Q8×C67C2311yescharacteristic
234C4⋊Q8×C67C2311yescharacteristic
235C4⋊Q8×C67C2311yescharacteristic
236C4⋊Q8×C67C2311yescharacteristic
237C4⋊Q8×C67C2311yescharacteristic
238C4⋊Q8×C67C2311yescharacteristic
239#127×C67C2311yescharacteristic
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#125×C67—21no—
251#125×C67—21no—
252#125×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×C67—21no—
265#125×C67—21no—
266#125×C67—21no—
267#125×C67—21no—
268#125×C67—21no—
269#125×C67—21no—
270#125×C67D411yescharacteristic
271#125×C67D411yescharacteristic
272#125×C67C2311yescharacteristic
273#125×C67C2311yescharacteristic
274#125×C67C2311yescharacteristic
275#125×C67C2311yescharacteristic
276#125×C67C2311yescharacteristic
277#125×C67C2311yescharacteristic
278#125×C67C2311yescharacteristic
279#125×C67C2311yescharacteristic
280#125×C67C2311yescharacteristic
281#125×C67C2311yescharacteristic
282#124×C67—21no—
283#124×C67—21no—
284#124×C67—21no—
285#124×C67—21no—
286#124×C67C2311yescharacteristic
287#124×C67C2311yescharacteristic
288#124×C67C2311yescharacteristic
289#124×C67C2311yescharacteristic
290#123×C67—21no—
291#123×C67—21no—
292#123×C67—21no—
293#123×C67—21no—
294#123×C67—21no—
295#123×C67—21no—
296#123×C67—21no—
297#123×C67—21no—
298#123×C67—21no—
299#123×C67—21no—
300C22⋊Q8×C67—21no—
301C22⋊Q8×C67—21no—
302C22⋊Q8×C67—21no—
303C22⋊Q8×C67—21no—
304C22⋊Q8×C67—21no—
305C22⋊Q8×C67—21no—
306C22⋊Q8×C67—21no—
307C22⋊Q8×C67—21no—
308C22⋊Q8×C67—21no—
309C22⋊Q8×C67—21no—
310C22⋊Q8×C67—21no—
311C22⋊Q8×C67—21no—
312C22⋊Q8×C67—21no—
313C22⋊Q8×C67—21no—
314C22⋊Q8×C67—21no—
315C22⋊Q8×C67—21no—
316C22⋊Q8×C67D411yescharacteristic
317C22⋊Q8×C67D411yescharacteristic
318C22⋊Q8×C67D411yescharacteristic
319C22⋊Q8×C67D411yescharacteristic
320C22⋊Q8×C67C2311yescharacteristic
321C22⋊Q8×C67C2311yescharacteristic
322#121×C67—21no—
323#121×C67—21no—
324#121×C67C2311yescharacteristic
325#121×C67C2311yescharacteristic
326C4×Q8×C67—21no—
327C4×Q8×C67—21no—
328C4×Q8×C67—21no—
329C4×Q8×C67—21no—
330C4×Q8×C67—21no—
331C4×Q8×C67—21no—
332C4×Q8×C67—21no—
333C4×Q8×C67—21no—
334C4×Q8×C67—21no—
335C4×Q8×C67—21no—
336C4×Q8×C67—21no—
337C4×Q8×C67—21no—
338C4×Q8×C67—21no—
339C4×Q8×C67—21no—
340C4×Q8×C67—21no—
341C4×Q8×C67—21no—
342C4×Q8×C67—21no—
343C4×Q8×C67—21no—
344C4×Q8×C67C2311yescharacteristic
345C4×Q8×C67C2311yescharacteristic
346C4×Q8×C67C2311yescharacteristic
347C4×Q8×C67C2311yescharacteristic
348C4×Q8×C67C2311yescharacteristic
349C4×Q8×C67C2311yescharacteristic
350C4×Q8×C67C2311yescharacteristic
351C4×Q8×C67C2311yescharacteristic
352C4×Q8×C67C2311yescharacteristic
353C4×Q8×C67C2311yescharacteristic
354C4×Q8×C67C2311yescharacteristic
355C4×Q8×C67C2311yescharacteristic
356C4×Q8×C67C2311yescharacteristic
357C4×Q8×C67C2311yescharacteristic
358C4×Q8×C67C2311yescharacteristic
359C4×Q8×C67C2311yescharacteristic
360C4×Q8×C67C2311yescharacteristic
361C4×Q8×C67C2311yescharacteristic
362C4×Q8×C67C2311yescharacteristic
363C4×Q8×C67C2311yescharacteristic
364C4×Q8×C67C2311yescharacteristic
365C4×Q8×C67C2311yescharacteristic
366C4×D4×C67—21no—
367C4×D4×C67—21no—
368C4×D4×C67—21no—
369C4×D4×C67—21no—
370C4×D4×C67C2311yescharacteristic
371C4×D4×C67C2311yescharacteristic
372C4×D4×C67C2311yescharacteristic
373C4×D4×C67C2311yescharacteristic
374C4×D4×C67C2311yescharacteristic
375C4×D4×C67C2311yescharacteristic
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×C67—21no—
384#117×C67C2311yescharacteristic
385#117×C67C2311yescharacteristic
386#117×C67C2311yescharacteristic
387#117×C67C2311yescharacteristic
388C2×C4⋊C4×C67—21no—
389C2×C4⋊C4×C67—21no—
390C2×C4⋊C4×C67—21no—
391C2×C4⋊C4×C67C2311yescharacteristic
392C2×C42×C67—21no—
393C2×C42×C67C2311yescharacteristic
394#107×C67C2311yescharacteristic
395#107×C67C2311yescharacteristic
396#107×C67C2311yescharacteristic
397#107×C67C2311yescharacteristic
398#107×C67C2311yescharacteristic
399#107×C67C2311yescharacteristic
400#107×C67C2311yescharacteristic
401#107×C67C2311yescharacteristic
402#107×C67C2311yescharacteristic
403#107×C67C2311yescharacteristic
404#107×C67C2311yescharacteristic
405#107×C67C2311yescharacteristic
406#106×C67C2311yescharacteristic
407#106×C67C2311yescharacteristic
408#106×C67C2311yescharacteristic
409#106×C67C2311yescharacteristic
410#106×C67C2311yescharacteristic
411#106×C67C2311yescharacteristic
412#106×C67C2311yescharacteristic
413#106×C67C2311yescharacteristic
414#106×C67C2311yescharacteristic
415#106×C67C2311yescharacteristic
416#106×C67C2311yescharacteristic
417#106×C67C2311yescharacteristic
418C4⋊C8×C67C2311yescharacteristic
419C4⋊C8×C67C2311yescharacteristic
420C4⋊C8×C67C2311yescharacteristic
421C4⋊C8×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
466#97×C67C2311yescharacteristic
467#97×C67C2311yescharacteristic
468#97×C67C2311yescharacteristic
469#97×C67C2311yescharacteristic
470#97×C67C2311yescharacteristic
471#97×C67C2311yescharacteristic
472C4×C8×C67C2311yescharacteristic
473C4×C8×C67C2311yescharacteristic
474C4×C8×C67C2311yescharacteristic
475C4×C8×C67C2311yescharacteristic
476C4×C8×C67C2311yescharacteristic
477C4×C8×C67C2311yescharacteristic
478C2×Q8×C67—22no—
479C2×Q8×C67—22no—
480C2×Q8×C67—21no—
481C2×Q8×C67—21no—
482C2×Q8×C67—21no—
483C2×Q8×C67—21no—
484C2×Q8×C67—21no—
485C2×Q8×C67—21no—
486C2×Q8×C67—21no—
487C2×Q8×C67—21no—
488C2×Q8×C67—21no—
489C2×Q8×C67C2×D411yescharacteristic
490C2×Q8×C67C2×D411yescharacteristic
491C2×Q8×C67C2×D411yescharacteristic
492C2×Q8×C67C2×D411yescharacteristic
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×C67C2411yescharacteristic
502C2×D4×C67C2411yescharacteristic
503C22×C4×C67—21no—
504C22×C4×C67—21no—
505C22×C4×C67—21no—
506C22×C4×C67—21no—
507C22×C4×C67—21no—
508C22×C4×C67—21no—
509C22×C4×C67—21no—
510C22×C4×C67—21no—
511C22×C4×C67C2×D411yescharacteristic
512C22×C4×C67C2×D411yescharacteristic
513C22×C4×C67C2411yescharacteristic
514Q16×C67—22no—
515Q16×C67—22no—
516Q16×C67—22no—
517Q16×C67—22no—
518SD16×C67—22no—
519SD16×C67—22no—
520SD16×C67—22no—
521SD16×C67—22no—
522C2×C8×C67C2411yescharacteristic
523C2×C8×C67C2411yescharacteristic
524C2×C8×C67C2411yescharacteristic
525C2×C8×C67C2411yescharacteristic
526C2×C8×C67C2411yescharacteristic
527C2×C8×C67C2411yescharacteristic
528C2×C8×C67C2411yescharacteristic
529C2×C8×C67C2411yescharacteristic
530C4⋊C4×C67—21no—
531C4⋊C4×C67—21no—
532C4⋊C4×C67—21no—
533C4⋊C4×C67—21no—
534C4⋊C4×C67—21no—
535C4⋊C4×C67—21no—
536C4⋊C4×C67—21no—
537C4⋊C4×C67—21no—
538C4⋊C4×C67—21no—
539C4⋊C4×C67—21no—
540C4⋊C4×C67—21no—
541C4⋊C4×C67—21no—
542C4⋊C4×C67—21no—
543C4⋊C4×C67—21no—
544C4⋊C4×C67—21no—
545C4⋊C4×C67—21no—
546C4⋊C4×C67—21no—
547C4⋊C4×C67—21no—
548C4⋊C4×C67—21no—
549C4⋊C4×C67—21no—
550C4⋊C4×C67—21no—
551C4⋊C4×C67—21no—
552C4⋊C4×C67—21no—
553C4⋊C4×C67—21no—
554C4⋊C4×C67—21no—
555C4⋊C4×C67—21no—
556C4⋊C4×C67—21no—
557C4⋊C4×C67—21no—
558C4⋊C4×C67—21no—
559C4⋊C4×C67—21no—
560C4⋊C4×C67—21no—
561C4⋊C4×C67—21no—
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×C67C2×D411yescharacteristic
582C4⋊C4×C67C2×D411yescharacteristic
583C4⋊C4×C67C2×D411yescharacteristic
584C4⋊C4×C67C2×D411yescharacteristic
585C4⋊C4×C67C2×D411yescharacteristic
586C4⋊C4×C67C2×D411yescharacteristic
587C4⋊C4×C67C2×D411yescharacteristic
588C4⋊C4×C67C2×D411yescharacteristic
589C4⋊C4×C67C2×D411yescharacteristic
590C4⋊C4×C67C2×D411yescharacteristic
591C4⋊C4×C67C2×D411yescharacteristic
592C4⋊C4×C67C2×D411yescharacteristic
593C4⋊C4×C67C2×D411yescharacteristic
594C4⋊C4×C67C2×D411yescharacteristic
595C4⋊C4×C67C2×D411yescharacteristic
596C4⋊C4×C67C2×D411yescharacteristic
597C4⋊C4×C67C2411yescharacteristic
598C4⋊C4×C67C2411yescharacteristic
599C4⋊C4×C67C2411yescharacteristic
600C4⋊C4×C67C2411yescharacteristic
601C4⋊C4×C67C2411yescharacteristic
602C4⋊C4×C67C2411yescharacteristic
603C4⋊C4×C67C2411yescharacteristic
604C4⋊C4×C67C2411yescharacteristic
605C4⋊C4×C67C2411yescharacteristic
606C4⋊C4×C67C2411yescharacteristic
607C22⋊C4×C67—21no—
608C22⋊C4×C67—21no—
609C22⋊C4×C67—21no—
610C22⋊C4×C67—21no—
611C22⋊C4×C67—21no—
612C22⋊C4×C67—21no—
613C22⋊C4×C67—21no—
614C22⋊C4×C67—21no—
615C22⋊C4×C67—21no—
616C22⋊C4×C67—21no—
617C22⋊C4×C67—21no—
618C22⋊C4×C67—21no—
619C22⋊C4×C67—21no—
620C22⋊C4×C67—21no—
621C22⋊C4×C67—21no—
622C22⋊C4×C67—21no—
623C22⋊C4×C67—21no—
624C22⋊C4×C67—21no—
625C22⋊C4×C67—21no—
626C22⋊C4×C67—21no—
627C22⋊C4×C67C2×D411yescharacteristic
628C22⋊C4×C67C2×D411yescharacteristic
629C22⋊C4×C67C2×D411yescharacteristic
630C22⋊C4×C67C2×D411yescharacteristic
631C42×C67—21no—
632C42×C67—21no—
633C42×C67—21no—
634C42×C67—21no—
635C42×C67—21no—
636C42×C67—21no—
637C42×C67—21no—
638C42×C67—21no—
639C42×C67—21no—
640C42×C67—21no—
641C42×C67—21no—
642C42×C67—21no—
643C42×C67—21no—
644C42×C67—21no—
645C42×C67—21no—
646C42×C67—21no—
647C42×C67—21no—
648C42×C67—21no—
649C42×C67—21no—
650C42×C67—21no—
651C42×C67C2×D411yescharacteristic
652C42×C67C2×D411yescharacteristic
653C42×C67C2411yescharacteristic
654C42×C67C2411yescharacteristic
655C42×C67C2411yescharacteristic
656C42×C67C2411yescharacteristic
657C42×C67C2411yescharacteristic
658C42×C67C2411yescharacteristic
659C23×C67—21no—
660C23×C67—21no—
661C23×C67C22×D411yescharacteristic
662Q8×C67—24no—
663Q8×C67—21no—
664Q8×C67—21no—
665Q8×C67—21no—
666Q8×C67—21no—
667Q8×C67—21no—
668Q8×C67—21no—
669Q8×C67—41no—
670Q8×C67—41no—
671Q8×C67—41no—
672Q8×C67—41no—
673Q8×C67—42no—
674Q8×C67—81no—
675Q8×C67—81no—
676Q8×C67—81no—
677Q8×C67—81no—
678Q8×C67—81no—
679Q8×C67—81no—
680Q8×C67—81no—
681Q8×C672−1+412yes—
682Q8×C672−1+412yes—
683D4×C67—21no—
684D4×C67—21no—
685D4×C67—21no—
686D4×C67—21no—
687D4×C67—81no—
688D4×C67—81no—
689D4×C67—81no—
690D4×C67—81no—
691C2×C4×C67—24no—
692C2×C4×C67—21no—
693C2×C4×C67—21no—
694C2×C4×C67—21no—
695C2×C4×C67—21no—
696C2×C4×C67—21no—
697C2×C4×C67—21no—
698C2×C4×C67—21no—
699C2×C4×C67—21no—
700C2×C4×C67—21no—
701C2×C4×C67—21no—
702C2×C4×C67—21no—
703C2×C4×C67—21no—
704C2×C4×C67—21no—
705C2×C4×C67—21no—
706C2×C4×C67—21no—
707C2×C4×C67—21no—
708C2×C4×C67—41no—
709C2×C4×C67—41no—
710C2×C4×C67—81no—
711C2×C4×C67—81no—
712C2×C4×C67—81no—
713C2×C4×C67—81no—
714C2×C4×C67—81no—
715C2×C4×C67—81no—
716C2×C4×C67—81no—
717C2×C4×C67C22×D411yescharacteristic
718C2×C4×C67C22×D411yescharacteristic
719C2×C4×C67C22×D411yescharacteristic
720C2×C4×C67C22×D411yescharacteristic
721C2×C4×C67C22×D411yescharacteristic
722C2×C4×C67C22×D411yescharacteristic
723C2×C4×C67C22×D411yescharacteristic
724C2×C4×C67C22×D411yescharacteristic
725C2×C4×C67C22×D411yescharacteristic
726C2×C4×C67C22×D411yescharacteristic
727C2×C4×C67C22×D411yescharacteristic
728C2×C4×C67C22×D411yescharacteristic
729C2×C4×C67C22×D411yescharacteristic
730C2×C4×C67C2511yescharacteristic
731C8×C67—21no—
732C8×C67—21no—
733C8×C67—21no—
734C8×C67—21no—
735C8×C67—21no—
736C8×C67—21no—
737C8×C67—21no—
738C8×C67—21no—
739C22×C67—21no—
740C22×C67—21no—
741C22×C67—21no—
742C22×C67—41no—
743C22×C67—41no—
744C22×C67—41no—
745C22×C67—41no—
746C22×C67—41no—
747C22×C67—41no—
748C22×C67C23×D411yescharacteristic
749C4×C67—21no—
750C4×C67—21no—
751C4×C67—21no—
752C4×C67—21no—
753C4×C67—21no—
754C4×C67—21no—
755C4×C67—21no—
756C4×C67—21no—
757C4×C67—21no—
758C4×C67—21no—
759C4×C67—21no—
760C4×C67—21no—
761C4×C67—22no—
762C4×C67—22no—
763C4×C67—21no—
764C4×C67—41no—
765C4×C67—41no—
766C4×C67—41no—
767C4×C67—41no—
768C4×C67—41no—
769C4×C67—41no—
770C4×C67—41no—
771C4×C67—41no—
772C4×C67—41no—
773C4×C67—41no—
774C4×C67—41no—
775C4×C67—41no—
776C4×C67C2×2−1+411yescharacteristic
777C4×C67C2×2−1+411yescharacteristic
778#61856C6711yesmaximal, characteristic, direct product factor, Sylow
779C2×C67—41no—
780C2×C67—81no—
781C2×C67—81no—
782C2×C67#348611yescharacteristic
783C2×C67#358411yescharacteristic
784C2×C67#358611yescharacteristic
785#3557C2×C6711yescharacteristic
786#3502C2×C6711yescharacteristic, complemented
787#3390C2×C6711yescharacteristic, complemented
788#3390C2×C6711yescharacteristic, complemented
789#3388C2×C6711yescharacteristic, complemented
790#3388C2×C6711yescharacteristic, complemented
791#3387C2×C6711yescharacteristic, complemented
792#3385C2×C6711yescharacteristic, complemented
793#3383C2×C6711yescharacteristic, complemented
794#3381C2×C6711yescharacteristic, complemented
795#3377C2×C6711yescharacteristic, complemented
796#3377C2×C6711yescharacteristic, complemented
797#3375C2×C6711yescharacteristic, complemented
798#3371C2×C6711yescharacteristic, complemented
799#3371C2×C6711yescharacteristic, complemented
800#3369C2×C6711yescharacteristic, complemented
801#3365C2×C6711yescharacteristic, complemented
802#3364C2×C6711yescharacteristic, complemented
803#3244C2×C6711yescharacteristic, complemented
804#3243C2×C6711yescharacteristic, complemented
805#3242C2×C6711yescharacteristic, complemented
806#3241C2×C6711yescharacteristic
807#3240C2×C6711yescharacteristic, complemented
808#3233C2×C6711yescharacteristic, complemented
809#3127C2×C6711yescharacteristic, complemented
810#3126C2×C6711yescharacteristic
811#3121C2×C6711yescharacteristic, complemented
812#3121C2×C6711yescharacteristic, complemented
813#3117C2×C6711yescharacteristic, complemented
814#3108C2×C6711yescharacteristic, complemented
815#2985C2×C6711yescharacteristic, complemented
816C67#6185611yescharacteristic, direct product factor, Sylow
817#563—21no—
818#563—21no—
819#559C22×C6711yescharacteristic
820#559C22×C6711yescharacteristic
821Q82—21no—
822Q82C22×C6711yescharacteristic
823Q82C22×C6711yescharacteristic
824#557—21no—
825#557—21no—
826#557—21no—
827#557C22×C6711yescharacteristic
828#557C22×C6711yescharacteristic
829#557C22×C6711yescharacteristic
830#557C22×C6711yescharacteristic
831#557C22×C6711yescharacteristic
832#557C22×C6711yescharacteristic
833#557C22×C6711yescharacteristic
834#557C22×C6711yescharacteristic
835#556C22×C6711yescharacteristic
836#556C22×C6711yescharacteristic
837#554C22×C6711yescharacteristic
838#554C22×C6711yescharacteristic
839#552—21no—
840#552—21no—
841#544—21no—
842#544—21no—
843#544C22×C6711yescharacteristic
844#544C22×C6711yescharacteristic
845#542—21no—
846#542—21no—
847#542C22×C6711yescharacteristic
848#542C22×C6711yescharacteristic
849#541C22×C6711yescharacteristic
850#540C22×C6711yescharacteristic
851#539—21no—
852#539—21no—
853#533—21no—
854#533—21no—
855#533C22×C6711yescharacteristic
856#533C22×C6711yescharacteristic
857#529C22×C6711yescharacteristic
858#529C22×C6711yescharacteristic
859#519C22×C6711yescharacteristic
860#519C22×C6711yescharacteristic
861C2×C4×Q8C22×C6711yescharacteristic
862#501C22×C6711yescharacteristic
863#501C22×C6711yescharacteristic
864#501C22×C6711yescharacteristic
865#501C22×C6711yescharacteristic
866#501C22×C6711yescharacteristic
867#501C22×C6711yescharacteristic
868#500C22×C6711yescharacteristic
869#499C22×C6711yescharacteristic
870#499C22×C6711yescharacteristic
871#499C22×C6711yescharacteristic
872#499C22×C6711yescharacteristic
873#498C22×C6711yescharacteristic
874#491C22×C6711yescharacteristic
875#490C22×C6711yescharacteristic
876#489C22×C6711yescharacteristic
877#489C22×C6711yescharacteristic
878#489C22×C6711yescharacteristic
879#489C22×C6711yescharacteristic
880#488C22×C6711yescharacteristic
881#488C22×C6711yescharacteristic
882#488C22×C6711yescharacteristic
883#488C22×C6711yescharacteristic
884#487C22×C6711yescharacteristic
885#486C22×C6711yescharacteristic
886#485C22×C6711yescharacteristic
887#485C22×C6711yescharacteristic
888#485C22×C6711yescharacteristic
889#485C22×C6711yescharacteristic
890#484C22×C6711yescharacteristic
891#483C22×C6711yescharacteristic
892#482C22×C6711yescharacteristic
893#482C22×C6711yescharacteristic
894#482C22×C6711yescharacteristic
895#482C22×C6711yescharacteristic
896#481C22×C6711yescharacteristic
897#480C22×C6711yescharacteristic
898#479C22×C6711yescharacteristic
899#479C22×C6711yescharacteristic
900#479C22×C6711yescharacteristic
901#479C22×C6711yescharacteristic
902#479C22×C6711yescharacteristic
903#479C22×C6711yescharacteristic
904#479C22×C6711yescharacteristic
905#479C22×C6711yescharacteristic
906#479C22×C6711yescharacteristic
907#479C22×C6711yescharacteristic
908#479C22×C6711yescharacteristic
909#479C22×C6711yescharacteristic
910#479C22×C6711yescharacteristic
911#479C22×C6711yescharacteristic
912#478C22×C6711yescharacteristic
913#478C22×C6711yescharacteristic
914#478C22×C6711yescharacteristic
915#478C22×C6711yescharacteristic
916#478C22×C6711yescharacteristic
917#478C22×C6711yescharacteristic
918#477C22×C6711yescharacteristic
919#477C22×C6711yescharacteristic
920#477C22×C6711yescharacteristic
921#477C22×C6711yescharacteristic
922#477C22×C6711yescharacteristic
923#476C22×C6711yescharacteristic
924#476C22×C6711yescharacteristic
925#476C22×C6711yescharacteristic
926#475C22×C6711yescharacteristic
927#475C22×C6711yescharacteristic
928#475C22×C6711yescharacteristic
929#475C22×C6711yescharacteristic
930#475C22×C6711yescharacteristic
931#474C22×C6711yescharacteristic
932#474C22×C6711yescharacteristic
933#474C22×C6711yescharacteristic
934#464C22×C6711yescharacteristic
935#464C22×C6711yescharacteristic
936#464C22×C6711yescharacteristic
937#464C22×C6711yescharacteristic
938#464C22×C6711yescharacteristic
939#464C22×C6711yescharacteristic
940#464C22×C6711yescharacteristic
941#464C22×C6711yescharacteristic
942#462C22×C6711yescharacteristic
943#462C22×C6711yescharacteristic
944#460C22×C6711yescharacteristic
945#460C22×C6711yescharacteristic
946#451C22×C6711yescharacteristic
947#451C22×C6711yescharacteristic
948#448C22×C6711yescharacteristic
949#448C22×C6711yescharacteristic
950#446C22×C6711yescharacteristic
951#446C22×C6711yescharacteristic
952#446C22×C6711yescharacteristic
953#446C22×C6711yescharacteristic
954#446C22×C6711yescharacteristic
955#446C22×C6711yescharacteristic
956C8×Q8C22×C6711yescharacteristic
957C8×Q8C22×C6711yescharacteristic
958#441C22×C6711yescharacteristic
959#441C22×C6711yescharacteristic
960#441C22×C6711yescharacteristic
961#441C22×C6711yescharacteristic
962#441C22×C6711yescharacteristic
963#441C22×C6711yescharacteristic
964#440C22×C6711yescharacteristic
965#440C22×C6711yescharacteristic
966#440C22×C6711yescharacteristic
967#440C22×C6711yescharacteristic
968#440C22×C6711yescharacteristic
969#440C22×C6711yescharacteristic
970C4×Q16C22×C6711yescharacteristic
971C4×Q16C22×C6711yescharacteristic
972C4×Q16C22×C6711yescharacteristic
973C4×Q16C22×C6711yescharacteristic
974C4×Q16C22×C6711yescharacteristic
975C4×Q16C22×C6711yescharacteristic
976C4×SD16C22×C6711yescharacteristic
977C4×SD16C22×C6711yescharacteristic
978C4×SD16C22×C6711yescharacteristic
979C4×SD16C22×C6711yescharacteristic
980C4×SD16C22×C6711yescharacteristic
981C4×SD16C22×C6711yescharacteristic
982#433C22×C6711yescharacteristic
983#433C22×C6711yescharacteristic
984#433C22×C6711yescharacteristic
985#433C22×C6711yescharacteristic
986#432C22×C6711yescharacteristic
987#431C22×C6711yescharacteristic
988C22×Q8C23×C6711yescharacteristic
989C2×Q16C23×C6711yescharacteristic
990C2×Q16C23×C6711yescharacteristic
991C2×Q16C23×C6711yescharacteristic
992C2×Q16C23×C6711yescharacteristic
993C2×SD16C23×C6711yescharacteristic
994C2×SD16C23×C6711yescharacteristic
995C2×SD16C23×C6711yescharacteristic
996C2×SD16C23×C6711yescharacteristic
997C4⋊Q8—21no—
998C4⋊Q8—21no—
999C4⋊Q8—21no—
1000C4⋊Q8—21no—
1001C4⋊Q8—21no—
1002C4⋊Q8—21no—
1003C4⋊Q8—21no—
1004C4⋊Q8—21no—
1005C4⋊Q8—21no—
1006C4⋊Q8—21no—
1007C4⋊Q8—21no—
1008C4⋊Q8—21no—
1009C4⋊Q8—21no—
1010C4⋊Q8—21no—
1011C4⋊Q8—21no—
1012C4⋊Q8—21no—
1013C4⋊Q8D4×C6711yescharacteristic
1014C4⋊Q8D4×C6711yescharacteristic
1015C4⋊Q8C23×C6711yescharacteristic
1016C4⋊Q8C23×C6711yescharacteristic
1017C4⋊Q8C23×C6711yescharacteristic
1018C4⋊Q8C23×C6711yescharacteristic
1019C4⋊Q8C23×C6711yescharacteristic
1020C4⋊Q8C23×C6711yescharacteristic
1021C4⋊Q8C23×C6711yescharacteristic
1022C4⋊Q8C23×C6711yescharacteristic
1023C4⋊Q8C23×C6711yescharacteristic
1024#127C23×C6711yescharacteristic
1025#126—21no—
1026#126—21no—
1027#126—21no—
1028#126—21no—
1029#126—21no—
1030#126—21no—
1031#126—21no—
1032#126—21no—
1033#126—21no—
1034#126—21no—
1035#125—21no—
1036#125—21no—
1037#125—21no—
1038#125—21no—
1039#125—21no—
1040#125—21no—
1041#125—21no—
1042#125—21no—
1043#125—21no—
1044#125—21no—
1045#125—21no—
1046#125—21no—
1047#125—21no—
1048#125—21no—
1049#125—21no—
1050#125—21no—
1051#125—21no—
1052#125—21no—
1053#125—21no—
1054#125—21no—
1055#125D4×C6711yescharacteristic
1056#125D4×C6711yescharacteristic
1057#125C23×C6711yescharacteristic
1058#125C23×C6711yescharacteristic
1059#125C23×C6711yescharacteristic
1060#125C23×C6711yescharacteristic
1061#125C23×C6711yescharacteristic
1062#125C23×C6711yescharacteristic
1063#125C23×C6711yescharacteristic
1064#125C23×C6711yescharacteristic
1065#125C23×C6711yescharacteristic
1066#125C23×C6711yescharacteristic
1067#124—21no—
1068#124—21no—
1069#124—21no—
1070#124—21no—
1071#124C23×C6711yescharacteristic
1072#124C23×C6711yescharacteristic
1073#124C23×C6711yescharacteristic
1074#124C23×C6711yescharacteristic
1075#123—21no—
1076#123—21no—
1077#123—21no—
1078#123—21no—
1079#123—21no—
1080#123—21no—
1081#123—21no—
1082#123—21no—
1083#123—21no—
1084#123—21no—
1085C22⋊Q8—21no—
1086C22⋊Q8—21no—
1087C22⋊Q8—21no—
1088C22⋊Q8—21no—
1089C22⋊Q8—21no—
1090C22⋊Q8—21no—
1091C22⋊Q8—21no—
1092C22⋊Q8—21no—
1093C22⋊Q8—21no—
1094C22⋊Q8—21no—
1095C22⋊Q8—21no—
1096C22⋊Q8—21no—
1097C22⋊Q8—21no—
1098C22⋊Q8—21no—
1099C22⋊Q8—21no—
1100C22⋊Q8—21no—
1101C22⋊Q8D4×C6711yescharacteristic
1102C22⋊Q8D4×C6711yescharacteristic
1103C22⋊Q8D4×C6711yescharacteristic
1104C22⋊Q8D4×C6711yescharacteristic
1105C22⋊Q8C23×C6711yescharacteristic
1106C22⋊Q8C23×C6711yescharacteristic
1107#121—21no—
1108#121—21no—
1109#121C23×C6711yescharacteristic
1110#121C23×C6711yescharacteristic
1111C4×Q8—21no—
1112C4×Q8—21no—
1113C4×Q8—21no—
1114C4×Q8—21no—
1115C4×Q8—21no—
1116C4×Q8—21no—
1117C4×Q8—21no—
1118C4×Q8—21no—
1119C4×Q8—21no—
1120C4×Q8—21no—
1121C4×Q8—21no—
1122C4×Q8—21no—
1123C4×Q8—21no—
1124C4×Q8—21no—
1125C4×Q8—21no—
1126C4×Q8—21no—
1127C4×Q8—21no—
1128C4×Q8—21no—
1129C4×Q8C23×C6711yescharacteristic
1130C4×Q8C23×C6711yescharacteristic
1131C4×Q8C23×C6711yescharacteristic
1132C4×Q8C23×C6711yescharacteristic
1133C4×Q8C23×C6711yescharacteristic
1134C4×Q8C23×C6711yescharacteristic
1135C4×Q8C23×C6711yescharacteristic
1136C4×Q8C23×C6711yescharacteristic
1137C4×Q8C23×C6711yescharacteristic
1138C4×Q8C23×C6711yescharacteristic
1139C4×Q8C23×C6711yescharacteristic
1140C4×Q8C23×C6711yescharacteristic
1141C4×Q8C23×C6711yescharacteristic
1142C4×Q8C23×C6711yescharacteristic
1143C4×Q8C23×C6711yescharacteristic
1144C4×Q8C23×C6711yescharacteristic
1145C4×Q8C23×C6711yescharacteristic
1146C4×Q8C23×C6711yescharacteristic
1147C4×Q8C23×C6711yescharacteristic
1148C4×Q8C23×C6711yescharacteristic
1149C4×Q8C23×C6711yescharacteristic
1150C4×Q8C23×C6711yescharacteristic
1151C4×D4—21no—
1152C4×D4—21no—
1153C4×D4—21no—
1154C4×D4—21no—
1155C4×D4C23×C6711yescharacteristic
1156C4×D4C23×C6711yescharacteristic
1157C4×D4C23×C6711yescharacteristic
1158C4×D4C23×C6711yescharacteristic
1159C4×D4C23×C6711yescharacteristic
1160C4×D4C23×C6711yescharacteristic
1161#117—21no—
1162#117—21no—
1163#117—21no—
1164#117—21no—
1165#117—21no—
1166#117—21no—
1167#117—21no—
1168#117—21no—
1169#117C23×C6711yescharacteristic
1170#117C23×C6711yescharacteristic
1171#117C23×C6711yescharacteristic
1172#117C23×C6711yescharacteristic
1173C2×C4⋊C4—21no—
1174C2×C4⋊C4—21no—
1175C2×C4⋊C4—21no—
1176C2×C4⋊C4C23×C6711yescharacteristic
1177C2×C42—21no—
1178C2×C42C23×C6711yescharacteristic
1179#107C23×C6711yescharacteristic
1180#107C23×C6711yescharacteristic
1181#107C23×C6711yescharacteristic
1182#107C23×C6711yescharacteristic
1183#107C23×C6711yescharacteristic
1184#107C23×C6711yescharacteristic
1185#107C23×C6711yescharacteristic
1186#107C23×C6711yescharacteristic
1187#107C23×C6711yescharacteristic
1188#107C23×C6711yescharacteristic
1189#107C23×C6711yescharacteristic
1190#107C23×C6711yescharacteristic
1191#106C23×C6711yescharacteristic
1192#106C23×C6711yescharacteristic
1193#106C23×C6711yescharacteristic
1194#106C23×C6711yescharacteristic
1195#106C23×C6711yescharacteristic
1196#106C23×C6711yescharacteristic
1197#106C23×C6711yescharacteristic
1198#106C23×C6711yescharacteristic
1199#106C23×C6711yescharacteristic
1200#106C23×C6711yescharacteristic
1201#106C23×C6711yescharacteristic
1202#106C23×C6711yescharacteristic
1203C4⋊C8C23×C6711yescharacteristic
1204C4⋊C8C23×C6711yescharacteristic
1205C4⋊C8C23×C6711yescharacteristic
1206C4⋊C8C23×C6711yescharacteristic
1207C4⋊C8C23×C6711yescharacteristic
1208C4⋊C8C23×C6711yescharacteristic
1209C4⋊C8C23×C6711yescharacteristic
1210C4⋊C8C23×C6711yescharacteristic
1211C4⋊C8C23×C6711yescharacteristic
1212C4⋊C8C23×C6711yescharacteristic
1213C4⋊C8C23×C6711yescharacteristic
1214C4⋊C8C23×C6711yescharacteristic
1215#103C23×C6711yescharacteristic
1216#103C23×C6711yescharacteristic
1217#103C23×C6711yescharacteristic
1218#103C23×C6711yescharacteristic
1219#103C23×C6711yescharacteristic
1220#103C23×C6711yescharacteristic
1221#103C23×C6711yescharacteristic
1222#103C23×C6711yescharacteristic
1223#103C23×C6711yescharacteristic
1224#103C23×C6711yescharacteristic
1225#103C23×C6711yescharacteristic
1226#103C23×C6711yescharacteristic
1227#103C23×C6711yescharacteristic
1228#103C23×C6711yescharacteristic
1229#103C23×C6711yescharacteristic
1230#103C23×C6711yescharacteristic
1231#103C23×C6711yescharacteristic
1232#103C23×C6711yescharacteristic
1233#103C23×C6711yescharacteristic
1234#103C23×C6711yescharacteristic
1235#102C23×C6711yescharacteristic
1236#102C23×C6711yescharacteristic
1237#102C23×C6711yescharacteristic
1238#102C23×C6711yescharacteristic
1239#102C23×C6711yescharacteristic
1240#102C23×C6711yescharacteristic
1241#102C23×C6711yescharacteristic
1242#102C23×C6711yescharacteristic
1243#102C23×C6711yescharacteristic
1244#102C23×C6711yescharacteristic
1245#102C23×C6711yescharacteristic
1246#102C23×C6711yescharacteristic
1247C22⋊C8C23×C6711yescharacteristic
1248C22⋊C8C23×C6711yescharacteristic
1249C22⋊C8C23×C6711yescharacteristic
1250C22⋊C8C23×C6711yescharacteristic
1251#97C23×C6711yescharacteristic
1252#97C23×C6711yescharacteristic
1253#97C23×C6711yescharacteristic
1254#97C23×C6711yescharacteristic
1255#97C23×C6711yescharacteristic
1256#97C23×C6711yescharacteristic
1257C4×C8C23×C6711yescharacteristic
1258C4×C8C23×C6711yescharacteristic
1259C4×C8C23×C6711yescharacteristic
1260C4×C8C23×C6711yescharacteristic
1261C4×C8C23×C6711yescharacteristic
1262C4×C8C23×C6711yescharacteristic
1263C2×Q8—22no—
1264C2×Q8—22no—
1265C2×Q8—21no—
1266C2×Q8—21no—
1267C2×Q8—21no—
1268C2×Q8—21no—
1269C2×Q8—21no—
1270C2×Q8—21no—
1271C2×Q8—21no—
1272C2×Q8—21no—
1273C2×Q8—21no—
1274C2×Q8C2×D4×C6711yescharacteristic
1275C2×Q8C2×D4×C6711yescharacteristic
1276C2×Q8C2×D4×C6711yescharacteristic
1277C2×Q8C2×D4×C6711yescharacteristic
1278C2×Q8C24×C6711yescharacteristic
1279C2×Q8C24×C6711yescharacteristic
1280C2×Q8C24×C6711yescharacteristic
1281C2×Q8C24×C6711yescharacteristic
1282C2×D4—21no—
1283C2×D4—21no—
1284C2×D4—21no—
1285C2×D4—21no—
1286C2×D4C24×C6711yescharacteristic
1287C2×D4C24×C6711yescharacteristic
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4C2×D4×C6711yescharacteristic
1297C22×C4C2×D4×C6711yescharacteristic
1298C22×C4C24×C6711yescharacteristic
1299Q16—22no—
1300Q16—22no—
1301Q16—22no—
1302Q16—22no—
1303SD16—22no—
1304SD16—22no—
1305SD16—22no—
1306SD16—22no—
1307C2×C8C24×C6711yescharacteristic
1308C2×C8C24×C6711yescharacteristic
1309C2×C8C24×C6711yescharacteristic
1310C2×C8C24×C6711yescharacteristic
1311C2×C8C24×C6711yescharacteristic
1312C2×C8C24×C6711yescharacteristic
1313C2×C8C24×C6711yescharacteristic
1314C2×C8C24×C6711yescharacteristic
1315C4⋊C4—21no—
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—21no—
1326C4⋊C4—21no—
1327C4⋊C4—21no—
1328C4⋊C4—21no—
1329C4⋊C4—21no—
1330C4⋊C4—21no—
1331C4⋊C4—21no—
1332C4⋊C4—21no—
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—21no—
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4C2×D4×C6711yescharacteristic
1367C4⋊C4C2×D4×C6711yescharacteristic
1368C4⋊C4C2×D4×C6711yescharacteristic
1369C4⋊C4C2×D4×C6711yescharacteristic
1370C4⋊C4C2×D4×C6711yescharacteristic
1371C4⋊C4C2×D4×C6711yescharacteristic
1372C4⋊C4C2×D4×C6711yescharacteristic
1373C4⋊C4C2×D4×C6711yescharacteristic
1374C4⋊C4C2×D4×C6711yescharacteristic
1375C4⋊C4C2×D4×C6711yescharacteristic
1376C4⋊C4C2×D4×C6711yescharacteristic
1377C4⋊C4C2×D4×C6711yescharacteristic
1378C4⋊C4C2×D4×C6711yescharacteristic
1379C4⋊C4C2×D4×C6711yescharacteristic
1380C4⋊C4C2×D4×C6711yescharacteristic
1381C4⋊C4C2×D4×C6711yescharacteristic
1382C4⋊C4C24×C6711yescharacteristic
1383C4⋊C4C24×C6711yescharacteristic
1384C4⋊C4C24×C6711yescharacteristic
1385C4⋊C4C24×C6711yescharacteristic
1386C4⋊C4C24×C6711yescharacteristic
1387C4⋊C4C24×C6711yescharacteristic
1388C4⋊C4C24×C6711yescharacteristic
1389C4⋊C4C24×C6711yescharacteristic
1390C4⋊C4C24×C6711yescharacteristic
1391C4⋊C4C24×C6711yescharacteristic
1392C22⋊C4—21no—
1393C22⋊C4—21no—
1394C22⋊C4—21no—
1395C22⋊C4—21no—
1396C22⋊C4—21no—
1397C22⋊C4—21no—
1398C22⋊C4—21no—
1399C22⋊C4—21no—
1400C22⋊C4—21no—
1401C22⋊C4—21no—
1402C22⋊C4—21no—
1403C22⋊C4—21no—
1404C22⋊C4—21no—
1405C22⋊C4—21no—
1406C22⋊C4—21no—
1407C22⋊C4—21no—
1408C22⋊C4—21no—
1409C22⋊C4—21no—
1410C22⋊C4—21no—
1411C22⋊C4—21no—
1412C22⋊C4C2×D4×C6711yescharacteristic
1413C22⋊C4C2×D4×C6711yescharacteristic
1414C22⋊C4C2×D4×C6711yescharacteristic
1415C22⋊C4C2×D4×C6711yescharacteristic
1416C42—21no—
1417C42—21no—
1418C42—21no—
1419C42—21no—
1420C42—21no—
1421C42—21no—
1422C42—21no—
1423C42—21no—
1424C42—21no—
1425C42—21no—
1426C42—21no—
1427C42—21no—
1428C42—21no—
1429C42—21no—
1430C42—21no—
1431C42—21no—
1432C42—21no—
1433C42—21no—
1434C42—21no—
1435C42—21no—
1436C42C2×D4×C6711yescharacteristic
1437C42C2×D4×C6711yescharacteristic
1438C42C24×C6711yescharacteristic
1439C42C24×C6711yescharacteristic
1440C42C24×C6711yescharacteristic
1441C42C24×C6711yescharacteristic
1442C42C24×C6711yescharacteristic
1443C42C24×C6711yescharacteristic
1444C23—21no—
1445C23—21no—
1446C23C22×D4×C6711yescharacteristic
1447Q8—24no—
1448Q8—21no—
1449Q8—21no—
1450Q8—21no—
1451Q8—21no—
1452Q8—21no—
1453Q8—21no—
1454Q8—41no—
1455Q8—41no—
1456Q8—41no—
1457Q8—41no—
1458Q8—42no—
1459Q8—81no—
1460Q8—81no—
1461Q8—81no—
1462Q8—81no—
1463Q8—81no—
1464Q8—81no—
1465Q8—81no—
1466Q82−1+4×C6712yes—
1467Q82−1+4×C6712yes—
1468D4—21no—
1469D4—21no—
1470D4—21no—
1471D4—21no—
1472D4—81no—
1473D4—81no—
1474D4—81no—
1475D4—81no—
1476C2×C4—24no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—81no—
1496C2×C4—81no—
1497C2×C4—81no—
1498C2×C4—81no—
1499C2×C4—81no—
1500C2×C4—81no—
1501C2×C4—81no—
1502C2×C4C22×D4×C6711yescharacteristic
1503C2×C4C22×D4×C6711yescharacteristic
1504C2×C4C22×D4×C6711yescharacteristic
1505C2×C4C22×D4×C6711yescharacteristic
1506C2×C4C22×D4×C6711yescharacteristic
1507C2×C4C22×D4×C6711yescharacteristic
1508C2×C4C22×D4×C6711yescharacteristic
1509C2×C4C22×D4×C6711yescharacteristic
1510C2×C4C22×D4×C6711yescharacteristic
1511C2×C4C22×D4×C6711yescharacteristic
1512C2×C4C22×D4×C6711yescharacteristic
1513C2×C4C22×D4×C6711yescharacteristic
1514C2×C4C22×D4×C6711yescharacteristic
1515C2×C4C25×C6711yescharacteristic
1516C8—21no—
1517C8—21no—
1518C8—21no—
1519C8—21no—
1520C8—21no—
1521C8—21no—
1522C8—21no—
1523C8—21no—
1524C22—21no—
1525C22—21no—
1526C22—21no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22C23×D4×C6711yescharacteristic
1534C4—21no—
1535C4—21no—
1536C4—21no—
1537C4—21no—
1538C4—21no—
1539C4—21no—
1540C4—21no—
1541C4—21no—
1542C4—21no—
1543C4—21no—
1544C4—21no—
1545C4—21no—
1546C4—22no—
1547C4—22no—
1548C4—21no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4C2×2−1+4×C6711yescharacteristic
1562C4C2×2−1+4×C6711yescharacteristic
1563C2—41no—
1564C2—81no—
1565C2—81no—
1566C2C67×#348611yescharacteristic
1567C2C67×#358411yescharacteristic
1568C2C67×#358611yescharacteristic
subgroupG/H
center, socleC22×C67C23×D4
commutator, Frattini, cosocleC2×C4C25×C67
prime radical#540×C67C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C67 ◁ #533×C67 ◁ G

Complements

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

NH ≅ G/Ntype
2. C67×#3502C2semidirect
3. C67×#3390C2semidirect
4. C67×#3390C2semidirect
5. C67×#3388C2semidirect
6. C67×#3388C2semidirect
7. C67×#3387C2semidirect
8. C67×#3385C2semidirect
9. C67×#3383C2semidirect
10. C67×#3381C2semidirect
11. C67×#3377C2semidirect
12. C67×#3377C2semidirect
13. C67×#3375C2semidirect
14. C67×#3371C2semidirect
15. C67×#3371C2semidirect
16. C67×#3369C2semidirect
17. C67×#3365C2semidirect
18. C67×#3364C2semidirect
19. C67×#3244C2semidirect
20. C67×#3243C2semidirect
21. C67×#3242C2semidirect
23. C67×#3240C2semidirect
24. C67×#3233C2semidirect
25. C67×#3127C2semidirect
27. C67×#3121C2semidirect
28. C67×#3121C2semidirect
29. C67×#3117C2semidirect
30. C67×#3108C2semidirect
31. C67×#2985C2semidirect
778. #61856C67direct (N × H)
786. #3502C2×C67semidirect
787. #3390C2×C67semidirect
788. #3390C2×C67semidirect
789. #3388C2×C67semidirect
790. #3388C2×C67semidirect
791. #3387C2×C67semidirect
792. #3385C2×C67semidirect
793. #3383C2×C67semidirect
794. #3381C2×C67semidirect
795. #3377C2×C67semidirect
796. #3377C2×C67semidirect
797. #3375C2×C67semidirect
798. #3371C2×C67semidirect
799. #3371C2×C67semidirect
800. #3369C2×C67semidirect
801. #3365C2×C67semidirect
802. #3364C2×C67semidirect
803. #3244C2×C67semidirect
804. #3243C2×C67semidirect
805. #3242C2×C67semidirect
807. #3240C2×C67semidirect
808. #3233C2×C67semidirect
809. #3127C2×C67semidirect
811. #3121C2×C67semidirect
812. #3121C2×C67semidirect
813. #3117C2×C67semidirect
814. #3108C2×C67semidirect
815. #2985C2×C67semidirect
816. C67#61856direct (N × H)

Maximal subgroups

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

subgroupindex
C67×#35572
C67×#35022
C67×#33902
C67×#33882
C67×#33872
C67×#33852
C67×#33832
C67×#33812
C67×#33772
C67×#33752
C67×#33712
C67×#33692
C67×#33652
C67×#33642
C67×#32442
C67×#32432
C67×#32422
C67×#32412
C67×#32402
C67×#32332
C67×#31272
C67×#31262
C67×#31212
C67×#31172
C67×#31082
C67×#29852
#6185667