Finite Group Databasebeta

← C67×#61775 #30741026

Subgroups — C67×#61775 #30741026

Order 17152.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3540C211yesmaximal, characteristic, complemented
2C67×#3492C211yesmaximal, characteristic, complemented
3C67×#3357C211yesmaximal, characteristic, complemented
4C67×#3356C211yesmaximal, characteristic, complemented
5C67×#3354C211yesmaximal, characteristic, complemented
6C67×#3353C211yesmaximal, characteristic, complemented
7C67×#3350C211yesmaximal, characteristic, complemented
8C67×#3349C211yesmaximal, characteristic, complemented
9C67×#3348C211yesmaximal, characteristic, complemented
10C67×#3347C211yesmaximal, characteristic, complemented
11C67×#3327C211yesmaximal, characteristic, complemented
12C67×#3326C211yesmaximal, characteristic, complemented
13C67×#3323C211yesmaximal, characteristic, complemented
14C67×#3322C211yesmaximal, characteristic, complemented
15C67×#3316C211yesmaximal, characteristic, complemented
16C67×#3314C211yesmaximal, characteristic, complemented
17C67×#3308C211yesmaximal, characteristic, complemented
18C67×#3306C211yesmaximal, characteristic, complemented
19C67×#3244C211yesmaximal, characteristic, complemented
20C67×#3243C211yesmaximal, characteristic, complemented
21C67×#3201C211yesmaximal, characteristic, complemented
22C67×#3198C211yesmaximal, characteristic, complemented
23C67×#3197C211yesmaximal, characteristic, complemented
24C67×#3197C211yesmaximal, characteristic, complemented
25C67×#3125C211yesmaximal, characteristic, complemented
26C67×#3124C211yesmaximal, characteristic, complemented
27C67×#3097C211yesmaximal, characteristic, complemented
28C67×#3096C211yesmaximal, characteristic, complemented
29C67×#3092C211yesmaximal, characteristic, complemented
30C67×#3092C211yesmaximal, characteristic, complemented
31C67×#2978C211yesmaximal, characteristic, complemented
32H(3,𝔽4)×C67—21no—
33#560×C67—21no—
34#559×C67—21no—
35#556×C67C2211yescharacteristic
36#556×C67C2211yescharacteristic
37#555×C67C2211yescharacteristic
38#555×C67C2211yescharacteristic
39#554×C67—21no—
40#554×C67C2211yescharacteristic
41#554×C67C2211yescharacteristic, complemented
42#553×C67—21no—
43#553×C67C2211yescharacteristic
44#553×C67C2211yescharacteristic, complemented
45#552×C67—21no—
46#552×C67C2211yescharacteristic
47#552×C67C2211yescharacteristic, complemented
48#551×C67—21no—
49#548×C67C2211yescharacteristic
50#548×C67C2211yescharacteristic
51#547×C67—21no—
52#547×C67C2211yescharacteristic
53#547×C67C2211yescharacteristic, complemented
54#546×C67C2211yescharacteristic
55#546×C67C2211yescharacteristic
56#544×C67C2211yescharacteristic, complemented
57#542×C67—21no—
58#542×C67—21no—
59#542×C67C2211yescharacteristic
60#542×C67C2211yescharacteristic
61#539×C67—21no—
62#539×C67—21no—
63#538×C67—21no—
64#538×C67—21no—
65#537×C67C2211yescharacteristic
66#536×C67C2211yescharacteristic
67#535×C67C2211yescharacteristic
68#525×C67—21no—
69#525×C67—21no—
70#525×C67C2211yescharacteristic
71#525×C67C2211yescharacteristic
72#525×C67C2211yescharacteristic
73#525×C67C2211yescharacteristic, complemented
74#520×C67C2211yescharacteristic
75#520×C67C2211yescharacteristic, complemented
76C22×C4⋊C4×C67C2211yescharacteristic, complemented
77#501×C67C2211yescharacteristic, complemented
78#501×C67C2211yescharacteristic, complemented
79#500×C67C2211yescharacteristic, complemented
80#498×C67C2211yescharacteristic, complemented
81#489×C67C2211yescharacteristic, complemented
82#489×C67C2211yescharacteristic, complemented
83#488×C67C2211yescharacteristic, complemented
84#488×C67C2211yescharacteristic, complemented
85#485×C67C2211yescharacteristic, complemented
86#485×C67C2211yescharacteristic, complemented
87#485×C67C2211yescharacteristic, complemented
88#485×C67C2211yescharacteristic, complemented
89#485×C67C2211yescharacteristic, complemented
90#485×C67C2211yescharacteristic, complemented
91#485×C67C2211yescharacteristic, complemented
92#485×C67C2211yescharacteristic, complemented
93#484×C67C2211yescharacteristic, complemented
94#484×C67C2211yescharacteristic, complemented
95#484×C67C2211yescharacteristic, complemented
96#484×C67C2211yescharacteristic, complemented
97#484×C67C2211yescharacteristic, complemented
98#483×C67C2211yescharacteristic, complemented
99#483×C67C2211yescharacteristic, complemented
100#483×C67C2211yescharacteristic, complemented
101#483×C67C2211yescharacteristic, complemented
102#483×C67C2211yescharacteristic, complemented
103#482×C67C2211yescharacteristic
104#482×C67C2211yescharacteristic
105#482×C67C2211yescharacteristic, complemented
106#482×C67C2211yescharacteristic, complemented
107#482×C67C2211yescharacteristic, complemented
108#482×C67C2211yescharacteristic, complemented
109#482×C67C2211yescharacteristic, complemented
110#482×C67C2211yescharacteristic, complemented
111#481×C67C2211yescharacteristic
112#481×C67C2211yescharacteristic
113#481×C67C2211yescharacteristic
114#481×C67C2211yescharacteristic
115#481×C67C2211yescharacteristic, complemented
116#480×C67C2211yescharacteristic
117#480×C67C2211yescharacteristic
118#480×C67C2211yescharacteristic
119#480×C67C2211yescharacteristic
120#480×C67C2211yescharacteristic, complemented
121#479×C67C2211yescharacteristic, complemented
122#479×C67C2211yescharacteristic, complemented
123#478×C67C2211yescharacteristic, complemented
124#478×C67C2211yescharacteristic, complemented
125#477×C67C2211yescharacteristic, complemented
126#477×C67C2211yescharacteristic, complemented
127#476×C67C2211yescharacteristic, complemented
128#476×C67C2211yescharacteristic, complemented
129#475×C67C2211yescharacteristic, complemented
130#475×C67C2211yescharacteristic, complemented
131#474×C67C2211yescharacteristic, complemented
132#474×C67C2211yescharacteristic, complemented
133#470×C67C2211yescharacteristic, complemented
134#470×C67C2211yescharacteristic, complemented
135#470×C67C2211yescharacteristic, complemented
136#469×C67C2211yescharacteristic
137#469×C67C2211yescharacteristic
138#469×C67C2211yescharacteristic, complemented
139#468×C67C2211yescharacteristic
140#468×C67C2211yescharacteristic
141#468×C67C2211yescharacteristic, complemented
142#468×C67C2211yescharacteristic, complemented
143#468×C67C2211yescharacteristic, complemented
144#468×C67C2211yescharacteristic, complemented
145#467×C67C2211yescharacteristic, complemented
146#466×C67C2211yescharacteristic, complemented
147#465×C67C2211yescharacteristic, complemented
148#465×C67C2211yescharacteristic, complemented
149#464×C67C2211yescharacteristic, complemented
150#464×C67C2211yescharacteristic, complemented
151#463×C67C2211yescharacteristic, complemented
152#463×C67C2211yescharacteristic, complemented
153#452×C67C2211yescharacteristic
154#452×C67C2211yescharacteristic
155#452×C67C2211yescharacteristic, complemented
156#452×C67C2211yescharacteristic, complemented
157#451×C67C2211yescharacteristic, complemented
158#450×C67C2211yescharacteristic, complemented
159#449×C67C2211yescharacteristic
160#449×C67C2211yescharacteristic
161#449×C67C2211yescharacteristic
162#449×C67C2211yescharacteristic
163#448×C67C2211yescharacteristic, complemented
164#447×C67C2211yescharacteristic, complemented
165#442×C67C2211yescharacteristic, complemented
166#441×C67C2211yescharacteristic, complemented
167#440×C67C2211yescharacteristic, complemented
168#440×C67C2211yescharacteristic, complemented
169C4×Q16×C67C2211yescharacteristic, complemented
170C4×SD16×C67C2211yescharacteristic, complemented
171C4×SD16×C67C2211yescharacteristic, complemented
172C4×D8×C67C2211yescharacteristic, complemented
173#436×C67C2211yescharacteristic
174#436×C67C2211yescharacteristic
175#436×C67C2211yescharacteristic, complemented
176#436×C67C2211yescharacteristic, complemented
177#435×C67C2211yescharacteristic
178#435×C67C2211yescharacteristic
179#435×C67C2211yescharacteristic, complemented
180#435×C67C2211yescharacteristic, complemented
181#433×C67C2211yescharacteristic, complemented
182#433×C67C2211yescharacteristic, complemented
183#428×C67C2211yescharacteristic, complemented
184#428×C67C2211yescharacteristic, complemented
185#428×C67C2211yescharacteristic, complemented
186#428×C67C2211yescharacteristic, complemented
187#428×C67C2211yescharacteristic, complemented
188#428×C67C2211yescharacteristic, complemented
189#427×C67C2211yescharacteristic, complemented
190#427×C67C2211yescharacteristic, complemented
191#419×C67C2211yescharacteristic, complemented
192#418×C67C2211yescharacteristic, complemented
193#417×C67C2211yescharacteristic
194#417×C67C2211yescharacteristic
195#417×C67C2211yescharacteristic
196#417×C67C2211yescharacteristic
197C2×#103×C67C2211yescharacteristic, complemented
198C2×#102×C67C2211yescharacteristic, complemented
199#408×C67C2211yescharacteristic
200#408×C67C2211yescharacteristic
201#407×C67C2211yescharacteristic, complemented
202#407×C67C2211yescharacteristic, complemented
203C2×#41×C67—21no—
204C2×#41×C67—21no—
205C2×#41×C67C2311yescharacteristic
206C2×#41×C67C2311yescharacteristic
207C2×#41×C67C2311yescharacteristic
208C2×#41×C67C2311yescharacteristic
209C22×Q8×C67C2311yescharacteristic
210C22×D4×C67C2311yescharacteristic
211C23×C4×C67—21no—
212C23×C4×C67C2311yescharacteristic
213C2×Q16×C67C2311yescharacteristic
214C2×Q16×C67C2311yescharacteristic
215C2×SD16×C67C2311yescharacteristic
216C2×SD16×C67C2311yescharacteristic
217C2×SD16×C67C2311yescharacteristic
218C2×SD16×C67C2311yescharacteristic
219C2×D8×C67C2311yescharacteristic
220C2×D8×C67C2311yescharacteristic
221C2×M16×C67C2311yescharacteristic
222C2×M16×C67C2311yescharacteristic
223C2×M16×C67C2311yescharacteristic
224C2×M16×C67C2311yescharacteristic
225C2×M16×C67C2311yescharacteristic
226C2×M16×C67C2311yescharacteristic
227C22×C8×C67C2311yescharacteristic
228C22×C8×C67C2311yescharacteristic
229C4⋊Q8×C67—21no—
230C4⋊Q8×C67—21no—
231C4⋊Q8×C67C2311yescharacteristic
232C4⋊Q8×C67C2311yescharacteristic
233C4⋊Q8×C67C2311yescharacteristic
234C4⋊Q8×C67C2311yescharacteristic
235#127×C67—21no—
236#126×C67—21no—
237#126×C67—21no—
238#126×C67—21no—
239#126×C67—21no—
240#126×C67—21no—
241#126×C67—21no—
242#126×C67—21no—
243#126×C67—21no—
244#126×C67—21no—
245#126×C67—21no—
246#125×C67—21no—
247#125×C67—21no—
248#125×C67—21no—
249#125×C67—21no—
250#125×C67—21no—
251#125×C67C2311yescharacteristic
252#125×C67C2311yescharacteristic
253#124×C67—21no—
254#124×C67—21no—
255#124×C67—21no—
256#124×C67—21no—
257#124×C67—21no—
258#124×C67—21no—
259#124×C67—21no—
260#124×C67—21no—
261#124×C67—21no—
262#124×C67—21no—
263#124×C67—21no—
264#124×C67—21no—
265#124×C67C2311yescharacteristic
266#124×C67C2311yescharacteristic
267#123×C67—21no—
268#123×C67—21no—
269#123×C67—21no—
270#123×C67—21no—
271#123×C67—21no—
272#123×C67—21no—
273#123×C67—21no—
274#123×C67—21no—
275#123×C67—21no—
276#123×C67—21no—
277#123×C67—21no—
278#123×C67—21no—
279#123×C67—21no—
280#123×C67—21no—
281#123×C67—21no—
282#123×C67—21no—
283#123×C67—21no—
284#123×C67D411yescharacteristic
285#123×C67D411yescharacteristic
286C22⋊Q8×C67—21no—
287C22⋊Q8×C67—21no—
288C22⋊Q8×C67—21no—
289C22⋊Q8×C67—21no—
290C22⋊Q8×C67—21no—
291C22⋊Q8×C67—21no—
292C22⋊Q8×C67—21no—
293C22⋊Q8×C67—21no—
294C22⋊Q8×C67—21no—
295C22⋊Q8×C67—21no—
296C22⋊Q8×C67—21no—
297C22⋊Q8×C67—21no—
298C22⋊Q8×C67—21no—
299C22⋊Q8×C67D411yescharacteristic
300C22⋊Q8×C67D411yescharacteristic
301C22⋊Q8×C67C2311yescharacteristic
302C22⋊Q8×C67C2311yescharacteristic
303C22⋊Q8×C67C2311yescharacteristic
304C22⋊Q8×C67C2311yescharacteristic
305C22⋊Q8×C67C2311yescharacteristic
306C22⋊Q8×C67C2311yescharacteristic
307C22⋊Q8×C67C2311yescharacteristic
308C22⋊Q8×C67C2311yescharacteristic
309C22⋊Q8×C67C2311yescharacteristic
310C22⋊Q8×C67C2311yescharacteristic
311#121×C67—21no—
312#121×C67—21no—
313#121×C67—21no—
314#121×C67—21no—
315#121×C67—21no—
316#121×C67—21no—
317#121×C67—21no—
318#121×C67—21no—
319#121×C67—21no—
320#121×C67—21no—
321#121×C67—21no—
322#121×C67D411yescharacteristic
323#121×C67D411yescharacteristic
324#121×C67C2311yescharacteristic
325#121×C67C2311yescharacteristic
326#121×C67C2311yescharacteristic
327#121×C67C2311yescharacteristic
328#121×C67C2311yescharacteristic
329#121×C67C2311yescharacteristic
330#121×C67C2311yescharacteristic
331#121×C67C2311yescharacteristic
332#121×C67C2311yescharacteristic
333#121×C67C2311yescharacteristic
334#120×C67—21no—
335#120×C67—21no—
336#120×C67—21no—
337#120×C67—21no—
338#120×C67—21no—
339#120×C67—21no—
340#120×C67—21no—
341#120×C67D411yescharacteristic
342#120×C67D411yescharacteristic
343C4×Q8×C67—21no—
344C4×Q8×C67—21no—
345C4×Q8×C67—21no—
346C4×Q8×C67C2311yescharacteristic
347C4×Q8×C67C2311yescharacteristic
348C4×Q8×C67C2311yescharacteristic
349C4×Q8×C67C2311yescharacteristic
350C4×D4×C67—21no—
351C4×D4×C67—21no—
352C4×D4×C67—21no—
353C4×D4×C67—21no—
354C4×D4×C67—21no—
355C4×D4×C67—21no—
356C4×D4×C67—21no—
357C4×D4×C67—21no—
358C4×D4×C67—21no—
359C4×D4×C67—21no—
360C4×D4×C67—21no—
361C4×D4×C67—21no—
362C4×D4×C67—21no—
363C4×D4×C67—21no—
364C4×D4×C67—21no—
365C4×D4×C67—21no—
366C4×D4×C67—21no—
367C4×D4×C67C2311yescharacteristic
368C4×D4×C67C2311yescharacteristic
369C4×D4×C67C2311yescharacteristic
370C4×D4×C67C2311yescharacteristic
371C4×D4×C67C2311yescharacteristic
372C4×D4×C67C2311yescharacteristic
373C4×D4×C67C2311yescharacteristic
374C4×D4×C67C2311yescharacteristic
375#117×C67—21no—
376#117×C67—21no—
377#117×C67—21no—
378#117×C67—21no—
379#117×C67—21no—
380#117×C67C2311yescharacteristic
381#117×C67C2311yescharacteristic
382#117×C67C2311yescharacteristic
383#117×C67C2311yescharacteristic
384#117×C67C2311yescharacteristic
385#117×C67C2311yescharacteristic
386#117×C67C2311yescharacteristic
387#117×C67C2311yescharacteristic
388C2×C4⋊C4×C67—21no—
389C2×C4⋊C4×C67—21no—
390C2×C4⋊C4×C67—21no—
391C2×C4⋊C4×C67—21no—
392C2×C4⋊C4×C67C2311yescharacteristic
393C2×C4⋊C4×C67C2311yescharacteristic
394C2×C4⋊C4×C67C2311yescharacteristic
395C2×C4⋊C4×C67C2311yescharacteristic
396C2×C4⋊C4×C67C2311yescharacteristic
397C2×C4⋊C4×C67C2311yescharacteristic
398C2×C4⋊C4×C67C2311yescharacteristic
399C2×C4⋊C4×C67C2311yescharacteristic
400C2×C22⋊C4×C67—21no—
401C2×C22⋊C4×C67—21no—
402#107×C67C2311yescharacteristic
403#107×C67C2311yescharacteristic
404#107×C67C2311yescharacteristic
405#107×C67C2311yescharacteristic
406#107×C67C2311yescharacteristic
407#107×C67C2311yescharacteristic
408#107×C67C2311yescharacteristic
409#107×C67C2311yescharacteristic
410#107×C67C2311yescharacteristic
411#107×C67C2311yescharacteristic
412#107×C67C2311yescharacteristic
413#107×C67C2311yescharacteristic
414#106×C67C2311yescharacteristic
415#106×C67C2311yescharacteristic
416#106×C67C2311yescharacteristic
417#106×C67C2311yescharacteristic
418#106×C67C2311yescharacteristic
419#106×C67C2311yescharacteristic
420#106×C67C2311yescharacteristic
421#106×C67C2311yescharacteristic
422#106×C67C2311yescharacteristic
423#106×C67C2311yescharacteristic
424#106×C67C2311yescharacteristic
425#106×C67C2311yescharacteristic
426C4⋊C8×C67C2311yescharacteristic
427C4⋊C8×C67C2311yescharacteristic
428C4⋊C8×C67C2311yescharacteristic
429C4⋊C8×C67C2311yescharacteristic
430#103×C67C2311yescharacteristic
431#103×C67C2311yescharacteristic
432#103×C67C2311yescharacteristic
433#103×C67C2311yescharacteristic
434#103×C67C2311yescharacteristic
435#103×C67C2311yescharacteristic
436#103×C67C2311yescharacteristic
437#103×C67C2311yescharacteristic
438#103×C67C2311yescharacteristic
439#103×C67C2311yescharacteristic
440#103×C67C2311yescharacteristic
441#103×C67C2311yescharacteristic
442#103×C67C2311yescharacteristic
443#103×C67C2311yescharacteristic
444#103×C67C2311yescharacteristic
445#103×C67C2311yescharacteristic
446#102×C67C2311yescharacteristic
447#102×C67C2311yescharacteristic
448#102×C67C2311yescharacteristic
449#102×C67C2311yescharacteristic
450#102×C67C2311yescharacteristic
451#102×C67C2311yescharacteristic
452#102×C67C2311yescharacteristic
453#102×C67C2311yescharacteristic
454#102×C67C2311yescharacteristic
455#102×C67C2311yescharacteristic
456#102×C67C2311yescharacteristic
457#102×C67C2311yescharacteristic
458#102×C67C2311yescharacteristic
459#102×C67C2311yescharacteristic
460#102×C67C2311yescharacteristic
461#102×C67C2311yescharacteristic
462C22⋊C8×C67C2311yescharacteristic
463C22⋊C8×C67C2311yescharacteristic
464C22⋊C8×C67C2311yescharacteristic
465C22⋊C8×C67C2311yescharacteristic
466C22⋊C8×C67C2311yescharacteristic
467C22⋊C8×C67C2311yescharacteristic
468C22⋊C8×C67C2311yescharacteristic
469C22⋊C8×C67C2311yescharacteristic
470C22⋊C8×C67C2311yescharacteristic
471C22⋊C8×C67C2311yescharacteristic
472C22⋊C8×C67C2311yescharacteristic
473C22⋊C8×C67C2311yescharacteristic
474#97×C67C2311yescharacteristic
475#97×C67C2311yescharacteristic
476C4×C8×C67C2311yescharacteristic
477C4×C8×C67C2311yescharacteristic
478C24×C67—21no—
479C24×C67C2×D411yescharacteristic
480#41×C67—41no—
481#41×C67—41no—
482#41×C67—41no—
483#41×C67—41no—
484#41×C67—41no—
485#41×C67—41no—
486#41×C67—41no—
487#41×C67—41no—
488#41×C67—82no—
489#41×C67—82no—
490C2×Q8×C67—21no—
491C2×Q8×C67—21no—
492C2×Q8×C67—21no—
493C2×Q8×C67—21no—
494C2×Q8×C67—21no—
495C2×Q8×C67—41no—
496C2×Q8×C67—41no—
497C2×Q8×C67C2×D411yescharacteristic
498C2×Q8×C67C2411yescharacteristic
499C2×Q8×C67C2411yescharacteristic
500C2×Q8×C67C2411yescharacteristic
501C2×D4×C67—21no—
502C2×D4×C67—21no—
503C2×D4×C67—21no—
504C2×D4×C67—21no—
505C2×D4×C67—21no—
506C2×D4×C67—21no—
507C2×D4×C67—21no—
508C2×D4×C67—21no—
509C2×D4×C67—21no—
510C2×D4×C67—21no—
511C2×D4×C67—21no—
512C2×D4×C67—21no—
513C2×D4×C67—21no—
514C2×D4×C67—21no—
515C2×D4×C67—41no—
516C2×D4×C67—41no—
517C2×D4×C67C2×D411yescharacteristic
518C2×D4×C67C2×D411yescharacteristic
519C2×D4×C67C2×D411yescharacteristic
520C2×D4×C67C2×D411yescharacteristic
521C2×D4×C67C2×D411yescharacteristic
522C2×D4×C67C2×D411yescharacteristic
523C2×D4×C67C2×D411yescharacteristic
524C2×D4×C67C2411yescharacteristic
525C2×D4×C67C2411yescharacteristic
526C2×D4×C67C2411yescharacteristic
527C22×C4×C67—21no—
528C22×C4×C67—21no—
529C22×C4×C67—21no—
530C22×C4×C67—21no—
531C22×C4×C67—21no—
532C22×C4×C67—21no—
533C22×C4×C67—21no—
534C22×C4×C67—21no—
535C22×C4×C67—21no—
536C22×C4×C67—21no—
537C22×C4×C67—21no—
538C22×C4×C67—21no—
539C22×C4×C67—21no—
540C22×C4×C67—21no—
541C22×C4×C67—21no—
542C22×C4×C67—21no—
543C22×C4×C67—41no—
544C22×C4×C67—41no—
545C22×C4×C67—82no—
546C22×C4×C67C2×D411yescharacteristic
547C22×C4×C67C2×D411yescharacteristic
548C22×C4×C67C2×D411yescharacteristic
549C22×C4×C67C2411yescharacteristic
550C22×C4×C67C2411yescharacteristic
551C22×C4×C67C2411yescharacteristic
552C22×C4×C67C2411yescharacteristic
553C22×C4×C67C2411yescharacteristic
554Q16×C67—41no—
555Q16×C67—41no—
556SD16×C67—41no—
557SD16×C67—41no—
558SD16×C67—41no—
559SD16×C67—41no—
560D8×C67—41no—
561D8×C67—41no—
562M16×C67—41no—
563M16×C67—41no—
564M16×C67—41no—
565M16×C67—41no—
566M16×C67—41no—
567M16×C67—41no—
568C2×C8×C67—41no—
569C2×C8×C67—41no—
570C2×C8×C67C2411yescharacteristic
571C2×C8×C67C2411yescharacteristic
572C2×C8×C67C2411yescharacteristic
573C2×C8×C67C2411yescharacteristic
574C2×C8×C67C2411yescharacteristic
575C2×C8×C67C2411yescharacteristic
576C2×C8×C67C2411yescharacteristic
577C2×C8×C67C2411yescharacteristic
578C4⋊C4×C67—21no—
579C4⋊C4×C67—21no—
580C4⋊C4×C67—21no—
581C4⋊C4×C67—21no—
582C4⋊C4×C67—21no—
583C4⋊C4×C67—21no—
584C4⋊C4×C67—21no—
585C4⋊C4×C67—21no—
586C4⋊C4×C67—21no—
587C4⋊C4×C67—21no—
588C4⋊C4×C67—21no—
589C4⋊C4×C67—21no—
590C4⋊C4×C67—21no—
591C4⋊C4×C67—21no—
592C4⋊C4×C67—21no—
593C4⋊C4×C67—21no—
594C4⋊C4×C67—21no—
595C4⋊C4×C67—21no—
596C4⋊C4×C67—21no—
597C4⋊C4×C67—21no—
598C4⋊C4×C67—21no—
599C4⋊C4×C67—21no—
600C4⋊C4×C67—21no—
601C4⋊C4×C67—21no—
602C4⋊C4×C67—21no—
603C4⋊C4×C67—21no—
604C4⋊C4×C67—21no—
605C4⋊C4×C67—21no—
606C4⋊C4×C67—21no—
607C4⋊C4×C67—21no—
608C4⋊C4×C67C2×D411yescharacteristic
609C4⋊C4×C67C2×D411yescharacteristic
610C4⋊C4×C67C2×D411yescharacteristic
611C4⋊C4×C67C2×D411yescharacteristic
612C4⋊C4×C67C2×D411yescharacteristic
613C4⋊C4×C67C2×D411yescharacteristic
614C4⋊C4×C67C2411yescharacteristic
615C4⋊C4×C67C2411yescharacteristic
616C4⋊C4×C67C2411yescharacteristic
617C4⋊C4×C67C2411yescharacteristic
618C4⋊C4×C67C2411yescharacteristic
619C4⋊C4×C67C2411yescharacteristic
620C4⋊C4×C67C2411yescharacteristic
621C4⋊C4×C67C2411yescharacteristic
622C4⋊C4×C67C2411yescharacteristic
623C4⋊C4×C67C2411yescharacteristic
624C22⋊C4×C67—21no—
625C22⋊C4×C67—21no—
626C22⋊C4×C67—21no—
627C22⋊C4×C67—21no—
628C22⋊C4×C67—21no—
629C22⋊C4×C67—21no—
630C22⋊C4×C67—21no—
631C22⋊C4×C67—21no—
632C22⋊C4×C67—21no—
633C22⋊C4×C67—21no—
634C22⋊C4×C67—21no—
635C22⋊C4×C67—21no—
636C22⋊C4×C67—21no—
637C22⋊C4×C67—21no—
638C22⋊C4×C67—21no—
639C22⋊C4×C67—21no—
640C22⋊C4×C67—21no—
641C22⋊C4×C67—21no—
642C22⋊C4×C67—21no—
643C22⋊C4×C67—21no—
644C22⋊C4×C67—21no—
645C22⋊C4×C67—21no—
646C22⋊C4×C67—21no—
647C22⋊C4×C67—21no—
648C22⋊C4×C67—21no—
649C22⋊C4×C67—21no—
650C22⋊C4×C67—21no—
651C22⋊C4×C67—21no—
652C22⋊C4×C67—21no—
653C22⋊C4×C67—21no—
654C22⋊C4×C67—21no—
655C22⋊C4×C67—21no—
656C22⋊C4×C67—21no—
657C22⋊C4×C67—21no—
658C22⋊C4×C67—21no—
659C22⋊C4×C67C2×D411yescharacteristic
660C22⋊C4×C67C2×D411yescharacteristic
661C22⋊C4×C67C2×D411yescharacteristic
662C22⋊C4×C67C2×D411yescharacteristic
663C22⋊C4×C67C2×D411yescharacteristic
664C22⋊C4×C67C2×D411yescharacteristic
665C22⋊C4×C67C2×D411yescharacteristic
666C22⋊C4×C67C2×D411yescharacteristic
667C22⋊C4×C67C2×D411yescharacteristic
668C22⋊C4×C67C2×D411yescharacteristic
669C42×C67—21no—
670C42×C67—21no—
671C42×C67—21no—
672C42×C67—21no—
673C42×C67—21no—
674C42×C67—21no—
675C42×C67—21no—
676C42×C67—21no—
677C42×C67—21no—
678C42×C67—21no—
679C42×C67—21no—
680C42×C67C2411yescharacteristic
681C42×C67C2411yescharacteristic
682C23×C67—21no—
683C23×C67—21no—
684C23×C67—21no—
685C23×C67—41no—
686C23×C67—41no—
687C23×C67—41no—
688C23×C67—81no—
689C23×C67—81no—
690C23×C67—81no—
691C23×C67C22×D411yescharacteristic
692C23×C67C22×D411yescharacteristic
693C23×C67C22×D411yescharacteristic
694C23×C67C22×D411yescharacteristic
695C23×C67C22×D411yescharacteristic
696Q8×C67—21no—
697Q8×C67—21no—
698Q8×C67—21no—
699Q8×C67—21no—
700Q8×C67—21no—
701Q8×C67—21no—
702Q8×C67—41no—
703Q8×C67—81no—
704Q8×C67—81no—
705Q8×C67—81no—
706Q8×C67—81no—
707Q8×C67—81no—
708D4×C67—21no—
709D4×C67—21no—
710D4×C67—21no—
711D4×C67—21no—
712D4×C67—21no—
713D4×C67—21no—
714D4×C67—41no—
715D4×C67—41no—
716D4×C67—41no—
717D4×C67—41no—
718D4×C67—41no—
719D4×C67—41no—
720D4×C67—41no—
721D4×C67—42no—
722D4×C67—42no—
723D4×C67—42no—
724D4×C67—81no—
725D4×C67—81no—
726D4×C67—81no—
727D4×C67—81no—
728D4×C67—81no—
729D4×C67—81no—
730D4×C67—81no—
731D4×C67—81no—
732D4×C67—81no—
733D4×C67—81no—
734D4×C67—81no—
735C2×C4×C67—21no—
736C2×C4×C67—21no—
737C2×C4×C67—21no—
738C2×C4×C67—21no—
739C2×C4×C67—21no—
740C2×C4×C67—21no—
741C2×C4×C67—21no—
742C2×C4×C67—21no—
743C2×C4×C67—21no—
744C2×C4×C67—21no—
745C2×C4×C67—21no—
746C2×C4×C67—21no—
747C2×C4×C67—21no—
748C2×C4×C67—21no—
749C2×C4×C67—21no—
750C2×C4×C67—21no—
751C2×C4×C67—21no—
752C2×C4×C67—21no—
753C2×C4×C67—21no—
754C2×C4×C67—21no—
755C2×C4×C67—21no—
756C2×C4×C67—21no—
757C2×C4×C67—21no—
758C2×C4×C67—41no—
759C2×C4×C67—41no—
760C2×C4×C67—41no—
761C2×C4×C67—42no—
762C2×C4×C67—42no—
763C2×C4×C67—42no—
764C2×C4×C67—81no—
765C2×C4×C67—81no—
766C2×C4×C67—81no—
767C2×C4×C67—81no—
768C2×C4×C67—81no—
769C2×C4×C67—81no—
770C2×C4×C67—81no—
771C2×C4×C67—81no—
772C2×C4×C67—81no—
773C2×C4×C67—81no—
774C2×C4×C67—81no—
775C2×C4×C67—81no—
776C2×C4×C67—81no—
777C2×C4×C67C22×D411yescharacteristic
778C2×C4×C67C22×D411yescharacteristic
779C2×C4×C67C22×D411yescharacteristic
780C2×C4×C67C22×D411yescharacteristic
781C2×C4×C67C22×D411yescharacteristic
782C2×C4×C67C22×D411yescharacteristic
783C2×C4×C67C22×D411yescharacteristic
784C2×C4×C67C22×D411yescharacteristic
785C2×C4×C67C22×D411yescharacteristic
786C2×C4×C67C2511yescharacteristic
787C8×C67—21no—
788C8×C67—21no—
789C8×C67—21no—
790C8×C67—21no—
791C8×C67—21no—
792C8×C67—21no—
793C8×C67—21no—
794C8×C67—21no—
795C22×C67—21no—
796C22×C67—21no—
797C22×C67—21no—
798C22×C67—21no—
799C22×C67—21no—
800C22×C67—21no—
801C22×C67—21no—
802C22×C67—21no—
803C22×C67—21no—
804C22×C67—21no—
805C22×C67—21no—
806C22×C67—21no—
807C22×C67—21no—
808C22×C67—21no—
809C22×C67—21no—
810C22×C67—44no—
811C22×C67—41no—
812C22×C67—41no—
813C22×C67—41no—
814C22×C67—41no—
815C22×C67—41no—
816C22×C67—41no—
817C22×C67—41no—
818C22×C67—41no—
819C22×C67—41no—
820C22×C67—162no—
821C22×C67C23×D411yescharacteristic
822C4×C67—21no—
823C4×C67—21no—
824C4×C67—21no—
825C4×C67—21no—
826C4×C67—21no—
827C4×C67—21no—
828C4×C67—21no—
829C4×C67—21no—
830C4×C67—21no—
831C4×C67—41no—
832C4×C67—41no—
833C4×C67—41no—
834C4×C67—41no—
835C4×C67—41no—
836C4×C67—41no—
837C4×C67—41no—
838C4×C67—41no—
839C4×C67—41no—
840C4×C67—41no—
841C4×C67—41no—
842C4×C67—41no—
843C4×C67—41no—
844C4×C67#58511yescharacteristic
845C4×C67#58511yescharacteristic
846#61775C6711yesmaximal, characteristic, direct product factor, Sylow
847C2×C67—41no—
848C2×C67—41no—
849C2×C67—41no—
850C2×C67—41no—
851C2×C67—41no—
852C2×C67—81no—
853C2×C67—81no—
854C2×C67—81no—
855C2×C67#348511yescharacteristic
856C2×C67#358511yescharacteristic
857C2×C67#358611yescharacteristic
858#3540C2×C6711yescharacteristic, complemented
859#3492C2×C6711yescharacteristic, complemented
860#3357C2×C6711yescharacteristic, complemented
861#3356C2×C6711yescharacteristic, complemented
862#3354C2×C6711yescharacteristic, complemented
863#3353C2×C6711yescharacteristic, complemented
864#3350C2×C6711yescharacteristic, complemented
865#3349C2×C6711yescharacteristic, complemented
866#3348C2×C6711yescharacteristic, complemented
867#3347C2×C6711yescharacteristic, complemented
868#3327C2×C6711yescharacteristic, complemented
869#3326C2×C6711yescharacteristic, complemented
870#3323C2×C6711yescharacteristic, complemented
871#3322C2×C6711yescharacteristic, complemented
872#3316C2×C6711yescharacteristic, complemented
873#3314C2×C6711yescharacteristic, complemented
874#3308C2×C6711yescharacteristic, complemented
875#3306C2×C6711yescharacteristic, complemented
876#3244C2×C6711yescharacteristic, complemented
877#3243C2×C6711yescharacteristic, complemented
878#3201C2×C6711yescharacteristic, complemented
879#3198C2×C6711yescharacteristic, complemented
880#3197C2×C6711yescharacteristic, complemented
881#3197C2×C6711yescharacteristic, complemented
882#3125C2×C6711yescharacteristic, complemented
883#3124C2×C6711yescharacteristic, complemented
884#3097C2×C6711yescharacteristic, complemented
885#3096C2×C6711yescharacteristic, complemented
886#3092C2×C6711yescharacteristic, complemented
887#3092C2×C6711yescharacteristic, complemented
888#2978C2×C6711yescharacteristic, complemented
889C67#6177511yescharacteristic, direct product factor, Sylow
890H(3,𝔽4)—21no—
891#560—21no—
892#559—21no—
893#556C22×C6711yescharacteristic
894#556C22×C6711yescharacteristic
895#555C22×C6711yescharacteristic
896#555C22×C6711yescharacteristic
897#554—21no—
898#554C22×C6711yescharacteristic
899#554C22×C6711yescharacteristic, complemented
900#553—21no—
901#553C22×C6711yescharacteristic
902#553C22×C6711yescharacteristic, complemented
903#552—21no—
904#552C22×C6711yescharacteristic
905#552C22×C6711yescharacteristic, complemented
906#551—21no—
907#548C22×C6711yescharacteristic
908#548C22×C6711yescharacteristic
909#547—21no—
910#547C22×C6711yescharacteristic
911#547C22×C6711yescharacteristic, complemented
912#546C22×C6711yescharacteristic
913#546C22×C6711yescharacteristic
914#544C22×C6711yescharacteristic, complemented
915#542—21no—
916#542—21no—
917#542C22×C6711yescharacteristic
918#542C22×C6711yescharacteristic
919#539—21no—
920#539—21no—
921#538—21no—
922#538—21no—
923#537C22×C6711yescharacteristic
924#536C22×C6711yescharacteristic
925#535C22×C6711yescharacteristic
926#525—21no—
927#525—21no—
928#525C22×C6711yescharacteristic
929#525C22×C6711yescharacteristic
930#525C22×C6711yescharacteristic
931#525C22×C6711yescharacteristic, complemented
932#520C22×C6711yescharacteristic
933#520C22×C6711yescharacteristic, complemented
934C22×C4⋊C4C22×C6711yescharacteristic, complemented
935#501C22×C6711yescharacteristic, complemented
936#501C22×C6711yescharacteristic, complemented
937#500C22×C6711yescharacteristic, complemented
938#498C22×C6711yescharacteristic, complemented
939#489C22×C6711yescharacteristic, complemented
940#489C22×C6711yescharacteristic, complemented
941#488C22×C6711yescharacteristic, complemented
942#488C22×C6711yescharacteristic, complemented
943#485C22×C6711yescharacteristic, complemented
944#485C22×C6711yescharacteristic, complemented
945#485C22×C6711yescharacteristic, complemented
946#485C22×C6711yescharacteristic, complemented
947#485C22×C6711yescharacteristic, complemented
948#485C22×C6711yescharacteristic, complemented
949#485C22×C6711yescharacteristic, complemented
950#485C22×C6711yescharacteristic, complemented
951#484C22×C6711yescharacteristic, complemented
952#484C22×C6711yescharacteristic, complemented
953#484C22×C6711yescharacteristic, complemented
954#484C22×C6711yescharacteristic, complemented
955#484C22×C6711yescharacteristic, complemented
956#483C22×C6711yescharacteristic, complemented
957#483C22×C6711yescharacteristic, complemented
958#483C22×C6711yescharacteristic, complemented
959#483C22×C6711yescharacteristic, complemented
960#483C22×C6711yescharacteristic, complemented
961#482C22×C6711yescharacteristic
962#482C22×C6711yescharacteristic
963#482C22×C6711yescharacteristic, complemented
964#482C22×C6711yescharacteristic, complemented
965#482C22×C6711yescharacteristic, complemented
966#482C22×C6711yescharacteristic, complemented
967#482C22×C6711yescharacteristic, complemented
968#482C22×C6711yescharacteristic, complemented
969#481C22×C6711yescharacteristic
970#481C22×C6711yescharacteristic
971#481C22×C6711yescharacteristic
972#481C22×C6711yescharacteristic
973#481C22×C6711yescharacteristic, complemented
974#480C22×C6711yescharacteristic
975#480C22×C6711yescharacteristic
976#480C22×C6711yescharacteristic
977#480C22×C6711yescharacteristic
978#480C22×C6711yescharacteristic, complemented
979#479C22×C6711yescharacteristic, complemented
980#479C22×C6711yescharacteristic, complemented
981#478C22×C6711yescharacteristic, complemented
982#478C22×C6711yescharacteristic, complemented
983#477C22×C6711yescharacteristic, complemented
984#477C22×C6711yescharacteristic, complemented
985#476C22×C6711yescharacteristic, complemented
986#476C22×C6711yescharacteristic, complemented
987#475C22×C6711yescharacteristic, complemented
988#475C22×C6711yescharacteristic, complemented
989#474C22×C6711yescharacteristic, complemented
990#474C22×C6711yescharacteristic, complemented
991#470C22×C6711yescharacteristic, complemented
992#470C22×C6711yescharacteristic, complemented
993#470C22×C6711yescharacteristic, complemented
994#469C22×C6711yescharacteristic
995#469C22×C6711yescharacteristic
996#469C22×C6711yescharacteristic, complemented
997#468C22×C6711yescharacteristic
998#468C22×C6711yescharacteristic
999#468C22×C6711yescharacteristic, complemented
1000#468C22×C6711yescharacteristic, complemented
1001#468C22×C6711yescharacteristic, complemented
1002#468C22×C6711yescharacteristic, complemented
1003#467C22×C6711yescharacteristic, complemented
1004#466C22×C6711yescharacteristic, complemented
1005#465C22×C6711yescharacteristic, complemented
1006#465C22×C6711yescharacteristic, complemented
1007#464C22×C6711yescharacteristic, complemented
1008#464C22×C6711yescharacteristic, complemented
1009#463C22×C6711yescharacteristic, complemented
1010#463C22×C6711yescharacteristic, complemented
1011#452C22×C6711yescharacteristic
1012#452C22×C6711yescharacteristic
1013#452C22×C6711yescharacteristic, complemented
1014#452C22×C6711yescharacteristic, complemented
1015#451C22×C6711yescharacteristic, complemented
1016#450C22×C6711yescharacteristic, complemented
1017#449C22×C6711yescharacteristic
1018#449C22×C6711yescharacteristic
1019#449C22×C6711yescharacteristic
1020#449C22×C6711yescharacteristic
1021#448C22×C6711yescharacteristic, complemented
1022#447C22×C6711yescharacteristic, complemented
1023#442C22×C6711yescharacteristic, complemented
1024#441C22×C6711yescharacteristic, complemented
1025#440C22×C6711yescharacteristic, complemented
1026#440C22×C6711yescharacteristic, complemented
1027C4×Q16C22×C6711yescharacteristic, complemented
1028C4×SD16C22×C6711yescharacteristic, complemented
1029C4×SD16C22×C6711yescharacteristic, complemented
1030C4×D8C22×C6711yescharacteristic, complemented
1031#436C22×C6711yescharacteristic
1032#436C22×C6711yescharacteristic
1033#436C22×C6711yescharacteristic, complemented
1034#436C22×C6711yescharacteristic, complemented
1035#435C22×C6711yescharacteristic
1036#435C22×C6711yescharacteristic
1037#435C22×C6711yescharacteristic, complemented
1038#435C22×C6711yescharacteristic, complemented
1039#433C22×C6711yescharacteristic, complemented
1040#433C22×C6711yescharacteristic, complemented
1041#428C22×C6711yescharacteristic, complemented
1042#428C22×C6711yescharacteristic, complemented
1043#428C22×C6711yescharacteristic, complemented
1044#428C22×C6711yescharacteristic, complemented
1045#428C22×C6711yescharacteristic, complemented
1046#428C22×C6711yescharacteristic, complemented
1047#427C22×C6711yescharacteristic, complemented
1048#427C22×C6711yescharacteristic, complemented
1049#419C22×C6711yescharacteristic, complemented
1050#418C22×C6711yescharacteristic, complemented
1051#417C22×C6711yescharacteristic
1052#417C22×C6711yescharacteristic
1053#417C22×C6711yescharacteristic
1054#417C22×C6711yescharacteristic
1055C2×#103C22×C6711yescharacteristic, complemented
1056C2×#102C22×C6711yescharacteristic, complemented
1057#408C22×C6711yescharacteristic
1058#408C22×C6711yescharacteristic
1059#407C22×C6711yescharacteristic, complemented
1060#407C22×C6711yescharacteristic, complemented
1061C2×#41—21no—
1062C2×#41—21no—
1063C2×#41C23×C6711yescharacteristic
1064C2×#41C23×C6711yescharacteristic
1065C2×#41C23×C6711yescharacteristic
1066C2×#41C23×C6711yescharacteristic
1067C22×Q8C23×C6711yescharacteristic
1068C22×D4C23×C6711yescharacteristic
1069C23×C4—21no—
1070C23×C4C23×C6711yescharacteristic
1071C2×Q16C23×C6711yescharacteristic
1072C2×Q16C23×C6711yescharacteristic
1073C2×SD16C23×C6711yescharacteristic
1074C2×SD16C23×C6711yescharacteristic
1075C2×SD16C23×C6711yescharacteristic
1076C2×SD16C23×C6711yescharacteristic
1077C2×D8C23×C6711yescharacteristic
1078C2×D8C23×C6711yescharacteristic
1079C2×M16C23×C6711yescharacteristic
1080C2×M16C23×C6711yescharacteristic
1081C2×M16C23×C6711yescharacteristic
1082C2×M16C23×C6711yescharacteristic
1083C2×M16C23×C6711yescharacteristic
1084C2×M16C23×C6711yescharacteristic
1085C22×C8C23×C6711yescharacteristic
1086C22×C8C23×C6711yescharacteristic
1087C4⋊Q8—21no—
1088C4⋊Q8—21no—
1089C4⋊Q8C23×C6711yescharacteristic
1090C4⋊Q8C23×C6711yescharacteristic
1091C4⋊Q8C23×C6711yescharacteristic
1092C4⋊Q8C23×C6711yescharacteristic
1093#127—21no—
1094#126—21no—
1095#126—21no—
1096#126—21no—
1097#126—21no—
1098#126—21no—
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#126—21no—
1103#126—21no—
1104#125—21no—
1105#125—21no—
1106#125—21no—
1107#125—21no—
1108#125—21no—
1109#125C23×C6711yescharacteristic
1110#125C23×C6711yescharacteristic
1111#124—21no—
1112#124—21no—
1113#124—21no—
1114#124—21no—
1115#124—21no—
1116#124—21no—
1117#124—21no—
1118#124—21no—
1119#124—21no—
1120#124—21no—
1121#124—21no—
1122#124—21no—
1123#124C23×C6711yescharacteristic
1124#124C23×C6711yescharacteristic
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123D4×C6711yescharacteristic
1143#123D4×C6711yescharacteristic
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8D4×C6711yescharacteristic
1158C22⋊Q8D4×C6711yescharacteristic
1159C22⋊Q8C23×C6711yescharacteristic
1160C22⋊Q8C23×C6711yescharacteristic
1161C22⋊Q8C23×C6711yescharacteristic
1162C22⋊Q8C23×C6711yescharacteristic
1163C22⋊Q8C23×C6711yescharacteristic
1164C22⋊Q8C23×C6711yescharacteristic
1165C22⋊Q8C23×C6711yescharacteristic
1166C22⋊Q8C23×C6711yescharacteristic
1167C22⋊Q8C23×C6711yescharacteristic
1168C22⋊Q8C23×C6711yescharacteristic
1169#121—21no—
1170#121—21no—
1171#121—21no—
1172#121—21no—
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121D4×C6711yescharacteristic
1181#121D4×C6711yescharacteristic
1182#121C23×C6711yescharacteristic
1183#121C23×C6711yescharacteristic
1184#121C23×C6711yescharacteristic
1185#121C23×C6711yescharacteristic
1186#121C23×C6711yescharacteristic
1187#121C23×C6711yescharacteristic
1188#121C23×C6711yescharacteristic
1189#121C23×C6711yescharacteristic
1190#121C23×C6711yescharacteristic
1191#121C23×C6711yescharacteristic
1192#120—21no—
1193#120—21no—
1194#120—21no—
1195#120—21no—
1196#120—21no—
1197#120—21no—
1198#120—21no—
1199#120D4×C6711yescharacteristic
1200#120D4×C6711yescharacteristic
1201C4×Q8—21no—
1202C4×Q8—21no—
1203C4×Q8—21no—
1204C4×Q8C23×C6711yescharacteristic
1205C4×Q8C23×C6711yescharacteristic
1206C4×Q8C23×C6711yescharacteristic
1207C4×Q8C23×C6711yescharacteristic
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4—21no—
1221C4×D4—21no—
1222C4×D4—21no—
1223C4×D4—21no—
1224C4×D4—21no—
1225C4×D4C23×C6711yescharacteristic
1226C4×D4C23×C6711yescharacteristic
1227C4×D4C23×C6711yescharacteristic
1228C4×D4C23×C6711yescharacteristic
1229C4×D4C23×C6711yescharacteristic
1230C4×D4C23×C6711yescharacteristic
1231C4×D4C23×C6711yescharacteristic
1232C4×D4C23×C6711yescharacteristic
1233#117—21no—
1234#117—21no—
1235#117—21no—
1236#117—21no—
1237#117—21no—
1238#117C23×C6711yescharacteristic
1239#117C23×C6711yescharacteristic
1240#117C23×C6711yescharacteristic
1241#117C23×C6711yescharacteristic
1242#117C23×C6711yescharacteristic
1243#117C23×C6711yescharacteristic
1244#117C23×C6711yescharacteristic
1245#117C23×C6711yescharacteristic
1246C2×C4⋊C4—21no—
1247C2×C4⋊C4—21no—
1248C2×C4⋊C4—21no—
1249C2×C4⋊C4—21no—
1250C2×C4⋊C4C23×C6711yescharacteristic
1251C2×C4⋊C4C23×C6711yescharacteristic
1252C2×C4⋊C4C23×C6711yescharacteristic
1253C2×C4⋊C4C23×C6711yescharacteristic
1254C2×C4⋊C4C23×C6711yescharacteristic
1255C2×C4⋊C4C23×C6711yescharacteristic
1256C2×C4⋊C4C23×C6711yescharacteristic
1257C2×C4⋊C4C23×C6711yescharacteristic
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—21no—
1260#107C23×C6711yescharacteristic
1261#107C23×C6711yescharacteristic
1262#107C23×C6711yescharacteristic
1263#107C23×C6711yescharacteristic
1264#107C23×C6711yescharacteristic
1265#107C23×C6711yescharacteristic
1266#107C23×C6711yescharacteristic
1267#107C23×C6711yescharacteristic
1268#107C23×C6711yescharacteristic
1269#107C23×C6711yescharacteristic
1270#107C23×C6711yescharacteristic
1271#107C23×C6711yescharacteristic
1272#106C23×C6711yescharacteristic
1273#106C23×C6711yescharacteristic
1274#106C23×C6711yescharacteristic
1275#106C23×C6711yescharacteristic
1276#106C23×C6711yescharacteristic
1277#106C23×C6711yescharacteristic
1278#106C23×C6711yescharacteristic
1279#106C23×C6711yescharacteristic
1280#106C23×C6711yescharacteristic
1281#106C23×C6711yescharacteristic
1282#106C23×C6711yescharacteristic
1283#106C23×C6711yescharacteristic
1284C4⋊C8C23×C6711yescharacteristic
1285C4⋊C8C23×C6711yescharacteristic
1286C4⋊C8C23×C6711yescharacteristic
1287C4⋊C8C23×C6711yescharacteristic
1288#103C23×C6711yescharacteristic
1289#103C23×C6711yescharacteristic
1290#103C23×C6711yescharacteristic
1291#103C23×C6711yescharacteristic
1292#103C23×C6711yescharacteristic
1293#103C23×C6711yescharacteristic
1294#103C23×C6711yescharacteristic
1295#103C23×C6711yescharacteristic
1296#103C23×C6711yescharacteristic
1297#103C23×C6711yescharacteristic
1298#103C23×C6711yescharacteristic
1299#103C23×C6711yescharacteristic
1300#103C23×C6711yescharacteristic
1301#103C23×C6711yescharacteristic
1302#103C23×C6711yescharacteristic
1303#103C23×C6711yescharacteristic
1304#102C23×C6711yescharacteristic
1305#102C23×C6711yescharacteristic
1306#102C23×C6711yescharacteristic
1307#102C23×C6711yescharacteristic
1308#102C23×C6711yescharacteristic
1309#102C23×C6711yescharacteristic
1310#102C23×C6711yescharacteristic
1311#102C23×C6711yescharacteristic
1312#102C23×C6711yescharacteristic
1313#102C23×C6711yescharacteristic
1314#102C23×C6711yescharacteristic
1315#102C23×C6711yescharacteristic
1316#102C23×C6711yescharacteristic
1317#102C23×C6711yescharacteristic
1318#102C23×C6711yescharacteristic
1319#102C23×C6711yescharacteristic
1320C22⋊C8C23×C6711yescharacteristic
1321C22⋊C8C23×C6711yescharacteristic
1322C22⋊C8C23×C6711yescharacteristic
1323C22⋊C8C23×C6711yescharacteristic
1324C22⋊C8C23×C6711yescharacteristic
1325C22⋊C8C23×C6711yescharacteristic
1326C22⋊C8C23×C6711yescharacteristic
1327C22⋊C8C23×C6711yescharacteristic
1328C22⋊C8C23×C6711yescharacteristic
1329C22⋊C8C23×C6711yescharacteristic
1330C22⋊C8C23×C6711yescharacteristic
1331C22⋊C8C23×C6711yescharacteristic
1332#97C23×C6711yescharacteristic
1333#97C23×C6711yescharacteristic
1334C4×C8C23×C6711yescharacteristic
1335C4×C8C23×C6711yescharacteristic
1336C24—21no—
1337C24C2×D4×C6711yescharacteristic
1338#41—41no—
1339#41—41no—
1340#41—41no—
1341#41—41no—
1342#41—41no—
1343#41—41no—
1344#41—41no—
1345#41—41no—
1346#41—82no—
1347#41—82no—
1348C2×Q8—21no—
1349C2×Q8—21no—
1350C2×Q8—21no—
1351C2×Q8—21no—
1352C2×Q8—21no—
1353C2×Q8—41no—
1354C2×Q8—41no—
1355C2×Q8C2×D4×C6711yescharacteristic
1356C2×Q8C24×C6711yescharacteristic
1357C2×Q8C24×C6711yescharacteristic
1358C2×Q8C24×C6711yescharacteristic
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4C2×D4×C6711yescharacteristic
1376C2×D4C2×D4×C6711yescharacteristic
1377C2×D4C2×D4×C6711yescharacteristic
1378C2×D4C2×D4×C6711yescharacteristic
1379C2×D4C2×D4×C6711yescharacteristic
1380C2×D4C2×D4×C6711yescharacteristic
1381C2×D4C2×D4×C6711yescharacteristic
1382C2×D4C24×C6711yescharacteristic
1383C2×D4C24×C6711yescharacteristic
1384C2×D4C24×C6711yescharacteristic
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—82no—
1404C22×C4C2×D4×C6711yescharacteristic
1405C22×C4C2×D4×C6711yescharacteristic
1406C22×C4C2×D4×C6711yescharacteristic
1407C22×C4C24×C6711yescharacteristic
1408C22×C4C24×C6711yescharacteristic
1409C22×C4C24×C6711yescharacteristic
1410C22×C4C24×C6711yescharacteristic
1411C22×C4C24×C6711yescharacteristic
1412Q16—41no—
1413Q16—41no—
1414SD16—41no—
1415SD16—41no—
1416SD16—41no—
1417SD16—41no—
1418D8—41no—
1419D8—41no—
1420M16—41no—
1421M16—41no—
1422M16—41no—
1423M16—41no—
1424M16—41no—
1425M16—41no—
1426C2×C8—41no—
1427C2×C8—41no—
1428C2×C8C24×C6711yescharacteristic
1429C2×C8C24×C6711yescharacteristic
1430C2×C8C24×C6711yescharacteristic
1431C2×C8C24×C6711yescharacteristic
1432C2×C8C24×C6711yescharacteristic
1433C2×C8C24×C6711yescharacteristic
1434C2×C8C24×C6711yescharacteristic
1435C2×C8C24×C6711yescharacteristic
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4C2×D4×C6711yescharacteristic
1467C4⋊C4C2×D4×C6711yescharacteristic
1468C4⋊C4C2×D4×C6711yescharacteristic
1469C4⋊C4C2×D4×C6711yescharacteristic
1470C4⋊C4C2×D4×C6711yescharacteristic
1471C4⋊C4C2×D4×C6711yescharacteristic
1472C4⋊C4C24×C6711yescharacteristic
1473C4⋊C4C24×C6711yescharacteristic
1474C4⋊C4C24×C6711yescharacteristic
1475C4⋊C4C24×C6711yescharacteristic
1476C4⋊C4C24×C6711yescharacteristic
1477C4⋊C4C24×C6711yescharacteristic
1478C4⋊C4C24×C6711yescharacteristic
1479C4⋊C4C24×C6711yescharacteristic
1480C4⋊C4C24×C6711yescharacteristic
1481C4⋊C4C24×C6711yescharacteristic
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4C2×D4×C6711yescharacteristic
1518C22⋊C4C2×D4×C6711yescharacteristic
1519C22⋊C4C2×D4×C6711yescharacteristic
1520C22⋊C4C2×D4×C6711yescharacteristic
1521C22⋊C4C2×D4×C6711yescharacteristic
1522C22⋊C4C2×D4×C6711yescharacteristic
1523C22⋊C4C2×D4×C6711yescharacteristic
1524C22⋊C4C2×D4×C6711yescharacteristic
1525C22⋊C4C2×D4×C6711yescharacteristic
1526C22⋊C4C2×D4×C6711yescharacteristic
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—21no—
1534C42—21no—
1535C42—21no—
1536C42—21no—
1537C42—21no—
1538C42C24×C6711yescharacteristic
1539C42C24×C6711yescharacteristic
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—41no—
1544C23—41no—
1545C23—41no—
1546C23—81no—
1547C23—81no—
1548C23—81no—
1549C23C22×D4×C6711yescharacteristic
1550C23C22×D4×C6711yescharacteristic
1551C23C22×D4×C6711yescharacteristic
1552C23C22×D4×C6711yescharacteristic
1553C23C22×D4×C6711yescharacteristic
1554Q8—21no—
1555Q8—21no—
1556Q8—21no—
1557Q8—21no—
1558Q8—21no—
1559Q8—21no—
1560Q8—41no—
1561Q8—81no—
1562Q8—81no—
1563Q8—81no—
1564Q8—81no—
1565Q8—81no—
1566D4—21no—
1567D4—21no—
1568D4—21no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—41no—
1573D4—41no—
1574D4—41no—
1575D4—41no—
1576D4—41no—
1577D4—41no—
1578D4—41no—
1579D4—42no—
1580D4—42no—
1581D4—42no—
1582D4—81no—
1583D4—81no—
1584D4—81no—
1585D4—81no—
1586D4—81no—
1587D4—81no—
1588D4—81no—
1589D4—81no—
1590D4—81no—
1591D4—81no—
1592D4—81no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—42no—
1620C2×C4—42no—
1621C2×C4—42no—
1622C2×C4—81no—
1623C2×C4—81no—
1624C2×C4—81no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—81no—
1635C2×C4C22×D4×C6711yescharacteristic
1636C2×C4C22×D4×C6711yescharacteristic
1637C2×C4C22×D4×C6711yescharacteristic
1638C2×C4C22×D4×C6711yescharacteristic
1639C2×C4C22×D4×C6711yescharacteristic
1640C2×C4C22×D4×C6711yescharacteristic
1641C2×C4C22×D4×C6711yescharacteristic
1642C2×C4C22×D4×C6711yescharacteristic
1643C2×C4C22×D4×C6711yescharacteristic
1644C2×C4C25×C6711yescharacteristic
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—21no—
1649C8—21no—
1650C8—21no—
1651C8—21no—
1652C8—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—21no—
1662C22—21no—
1663C22—21no—
1664C22—21no—
1665C22—21no—
1666C22—21no—
1667C22—21no—
1668C22—44no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—162no—
1679C22C23×D4×C6711yescharacteristic
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—21no—
1688C4—21no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4#585×C6711yescharacteristic
1703C4#585×C6711yescharacteristic
1704C2—41no—
1705C2—41no—
1706C2—41no—
1707C2—41no—
1708C2—41no—
1709C2—81no—
1710C2—81no—
1711C2—81no—
1712C2C67×#348511yescharacteristic
1713C2C67×#358511yescharacteristic
1714C2C67×#358611yescharacteristic
subgroupG/H
center, socleC22×C67C23×D4
commutator, Frattini, cosocleC2×C4C25×C67
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C67 ◁ #525×C67 ◁ G

Complements

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

NH ≅ G/Ntype
1. C67×#3540C2semidirect
2. C67×#3492C2semidirect
3. C67×#3357C2semidirect
4. C67×#3356C2semidirect
5. C67×#3354C2semidirect
6. C67×#3353C2semidirect
7. C67×#3350C2semidirect
8. C67×#3349C2semidirect
9. C67×#3348C2semidirect
10. C67×#3347C2semidirect
11. C67×#3327C2semidirect
12. C67×#3326C2semidirect
13. C67×#3323C2semidirect
14. C67×#3322C2semidirect
15. C67×#3316C2semidirect
16. C67×#3314C2semidirect
17. C67×#3308C2semidirect
18. C67×#3306C2semidirect
19. C67×#3244C2semidirect
20. C67×#3243C2semidirect
21. C67×#3201C2semidirect
22. C67×#3198C2semidirect
23. C67×#3197C2semidirect
24. C67×#3197C2semidirect
25. C67×#3125C2semidirect
26. C67×#3124C2semidirect
27. C67×#3097C2semidirect
28. C67×#3096C2semidirect
29. C67×#3092C2semidirect
30. C67×#3092C2semidirect
31. C67×#2978C2semidirect
41. #554×C67C22semidirect
44. #553×C67C22semidirect
47. #552×C67C22semidirect
53. #547×C67C22semidirect
56. #544×C67C22semidirect
73. #525×C67C22semidirect
75. #520×C67C22semidirect
76. C22×C4⋊C4×C67C22semidirect
77. #501×C67C22semidirect
78. #501×C67C22semidirect
79. #500×C67C22semidirect
80. #498×C67C22semidirect
81. #489×C67C22semidirect
82. #489×C67C22semidirect
83. #488×C67C22semidirect
84. #488×C67C22semidirect
85. #485×C67C22semidirect
86. #485×C67C22semidirect
87. #485×C67C22semidirect
88. #485×C67C22semidirect
89. #485×C67C22semidirect
90. #485×C67C22semidirect
91. #485×C67C22semidirect
92. #485×C67C22semidirect
93. #484×C67C22semidirect
94. #484×C67C22semidirect
95. #484×C67C22semidirect
96. #484×C67C22semidirect
97. #484×C67C22semidirect
98. #483×C67C22semidirect
99. #483×C67C22semidirect
100. #483×C67C22semidirect
101. #483×C67C22semidirect
102. #483×C67C22semidirect
105. #482×C67C22semidirect
106. #482×C67C22semidirect
107. #482×C67C22semidirect
108. #482×C67C22semidirect
109. #482×C67C22semidirect
110. #482×C67C22semidirect
115. #481×C67C22semidirect
120. #480×C67C22semidirect
121. #479×C67C22semidirect
122. #479×C67C22semidirect
123. #478×C67C22semidirect
124. #478×C67C22semidirect
125. #477×C67C22semidirect
126. #477×C67C22semidirect
127. #476×C67C22semidirect
128. #476×C67C22semidirect
129. #475×C67C22semidirect
130. #475×C67C22semidirect
131. #474×C67C22semidirect
132. #474×C67C22semidirect
133. #470×C67C22semidirect
134. #470×C67C22semidirect
135. #470×C67C22semidirect
138. #469×C67C22semidirect
141. #468×C67C22semidirect
142. #468×C67C22semidirect
143. #468×C67C22semidirect
144. #468×C67C22semidirect
145. #467×C67C22semidirect
146. #466×C67C22semidirect
147. #465×C67C22semidirect
148. #465×C67C22semidirect
149. #464×C67C22semidirect
150. #464×C67C22semidirect
151. #463×C67C22semidirect
152. #463×C67C22semidirect
155. #452×C67C22semidirect
156. #452×C67C22semidirect
157. #451×C67C22semidirect
158. #450×C67C22semidirect
163. #448×C67C22semidirect
164. #447×C67C22semidirect
165. #442×C67C22semidirect
166. #441×C67C22semidirect
167. #440×C67C22semidirect
168. #440×C67C22semidirect
169. C4×Q16×C67C22semidirect
170. C4×SD16×C67C22semidirect
171. C4×SD16×C67C22semidirect
172. C4×D8×C67C22semidirect
175. #436×C67C22semidirect
176. #436×C67C22semidirect
179. #435×C67C22semidirect
180. #435×C67C22semidirect
181. #433×C67C22semidirect
182. #433×C67C22semidirect
183. #428×C67C22semidirect
184. #428×C67C22semidirect
185. #428×C67C22semidirect
186. #428×C67C22semidirect
187. #428×C67C22semidirect
188. #428×C67C22semidirect
189. #427×C67C22semidirect
190. #427×C67C22semidirect
191. #419×C67C22semidirect
192. #418×C67C22semidirect
197. C2×#103×C67C22semidirect
198. C2×#102×C67C22semidirect
201. #407×C67C22semidirect
202. #407×C67C22semidirect
846. #61775C67direct (N × H)
858. #3540C2×C67semidirect
859. #3492C2×C67semidirect
860. #3357C2×C67semidirect
861. #3356C2×C67semidirect
862. #3354C2×C67semidirect
863. #3353C2×C67semidirect
864. #3350C2×C67semidirect
865. #3349C2×C67semidirect
866. #3348C2×C67semidirect
867. #3347C2×C67semidirect
868. #3327C2×C67semidirect
869. #3326C2×C67semidirect
870. #3323C2×C67semidirect
871. #3322C2×C67semidirect
872. #3316C2×C67semidirect
873. #3314C2×C67semidirect
874. #3308C2×C67semidirect
875. #3306C2×C67semidirect
876. #3244C2×C67semidirect
877. #3243C2×C67semidirect
878. #3201C2×C67semidirect
879. #3198C2×C67semidirect
880. #3197C2×C67semidirect
881. #3197C2×C67semidirect
882. #3125C2×C67semidirect
883. #3124C2×C67semidirect
884. #3097C2×C67semidirect
885. #3096C2×C67semidirect
886. #3092C2×C67semidirect
887. #3092C2×C67semidirect
888. #2978C2×C67semidirect
889. C67#61775direct (N × H)
899. #554C22×C67semidirect
902. #553C22×C67semidirect
905. #552C22×C67semidirect
911. #547C22×C67semidirect
914. #544C22×C67semidirect
931. #525C22×C67semidirect
933. #520C22×C67semidirect
934. C22×C4⋊C4C22×C67semidirect
935. #501C22×C67semidirect
936. #501C22×C67semidirect
937. #500C22×C67semidirect
938. #498C22×C67semidirect
939. #489C22×C67semidirect
940. #489C22×C67semidirect
941. #488C22×C67semidirect
942. #488C22×C67semidirect
943. #485C22×C67semidirect
944. #485C22×C67semidirect
945. #485C22×C67semidirect
946. #485C22×C67semidirect
947. #485C22×C67semidirect
948. #485C22×C67semidirect
949. #485C22×C67semidirect
950. #485C22×C67semidirect
951. #484C22×C67semidirect
952. #484C22×C67semidirect
953. #484C22×C67semidirect
954. #484C22×C67semidirect
955. #484C22×C67semidirect
956. #483C22×C67semidirect
957. #483C22×C67semidirect
958. #483C22×C67semidirect
959. #483C22×C67semidirect
960. #483C22×C67semidirect
963. #482C22×C67semidirect
964. #482C22×C67semidirect
965. #482C22×C67semidirect
966. #482C22×C67semidirect
967. #482C22×C67semidirect
968. #482C22×C67semidirect
973. #481C22×C67semidirect
978. #480C22×C67semidirect
979. #479C22×C67semidirect
980. #479C22×C67semidirect
981. #478C22×C67semidirect
982. #478C22×C67semidirect
983. #477C22×C67semidirect
984. #477C22×C67semidirect
985. #476C22×C67semidirect
986. #476C22×C67semidirect
987. #475C22×C67semidirect
988. #475C22×C67semidirect
989. #474C22×C67semidirect
990. #474C22×C67semidirect
991. #470C22×C67semidirect
992. #470C22×C67semidirect
993. #470C22×C67semidirect
996. #469C22×C67semidirect
999. #468C22×C67semidirect
1000. #468C22×C67semidirect
1001. #468C22×C67semidirect
1002. #468C22×C67semidirect
1003. #467C22×C67semidirect
1004. #466C22×C67semidirect
1005. #465C22×C67semidirect
1006. #465C22×C67semidirect
1007. #464C22×C67semidirect
1008. #464C22×C67semidirect
1009. #463C22×C67semidirect
1010. #463C22×C67semidirect
1013. #452C22×C67semidirect
1014. #452C22×C67semidirect
1015. #451C22×C67semidirect
1016. #450C22×C67semidirect
1021. #448C22×C67semidirect
1022. #447C22×C67semidirect
1023. #442C22×C67semidirect
1024. #441C22×C67semidirect
1025. #440C22×C67semidirect
1026. #440C22×C67semidirect
1027. C4×Q16C22×C67semidirect
1028. C4×SD16C22×C67semidirect
1029. C4×SD16C22×C67semidirect
1030. C4×D8C22×C67semidirect
1033. #436C22×C67semidirect
1034. #436C22×C67semidirect
1037. #435C22×C67semidirect
1038. #435C22×C67semidirect
1039. #433C22×C67semidirect
1040. #433C22×C67semidirect
1041. #428C22×C67semidirect
1042. #428C22×C67semidirect
1043. #428C22×C67semidirect
1044. #428C22×C67semidirect
1045. #428C22×C67semidirect
1046. #428C22×C67semidirect
1047. #427C22×C67semidirect
1048. #427C22×C67semidirect
1049. #419C22×C67semidirect
1050. #418C22×C67semidirect
1055. C2×#103C22×C67semidirect
1056. C2×#102C22×C67semidirect
1059. #407C22×C67semidirect
1060. #407C22×C67semidirect

Maximal subgroups

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

subgroupindex
C67×#35402
C67×#34922
C67×#33572
C67×#33562
C67×#33542
C67×#33532
C67×#33502
C67×#33492
C67×#33482
C67×#33472
C67×#33272
C67×#33262
C67×#33232
C67×#33222
C67×#33162
C67×#33142
C67×#33082
C67×#33062
C67×#32442
C67×#32432
C67×#32012
C67×#31982
C67×#31972
C67×#31252
C67×#31242
C67×#30972
C67×#30962
C67×#30922
C67×#29782
#6177567